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what is deductive reasoning in critical thinking

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Guide To Inductive & Deductive Reasoning

Induction vs. Deduction

October 15, 2008, by The Critical Thinking Co. Staff

Induction and deduction are pervasive elements in critical thinking. They are also somewhat misunderstood terms. Arguments based on experience or observation are best expressed inductively , while arguments based on laws or rules are best expressed deductively . Most arguments are mainly inductive. In fact, inductive reasoning usually comes much more naturally to us than deductive reasoning.

Inductive reasoning moves from specific details and observations (typically of nature) to the more general underlying principles or process that explains them (e.g., Newton's Law of Gravity). It is open-ended and exploratory, especially at the beginning. The premises of an inductive argument are believed to support the conclusion, but do not ensure it. Thus, the conclusion of an induction is regarded as a hypothesis. In the Inductive method, also called the scientific method , observation of nature is the authority.

In contrast, deductive reasoning typically moves from general truths to specific conclusions. It opens with an expansive explanation (statements known or believed to be true) and continues with predictions for specific observations supporting it. Deductive reasoning is narrow in nature and is concerned with testing or confirming a hypothesis. It is dependent on its premises. For example, a false premise can lead to a false result, and inconclusive premises will also yield an inconclusive conclusion. Deductive reasoning leads to a confirmation (or not) of our original theories. It guarantees the correctness of a conclusion. Logic is the authority in the deductive method.

If you can strengthen your argument or hypothesis by adding another piece of information, you are using inductive reasoning. If you cannot improve your argument by adding more evidence, you are employing deductive reasoning.

Deductive Reasoning

I. definition.

Deductive reasoning, or deduction, is one of the two basic types of logical inference . A logical inference is a connection from a first statement (a “premise”) to a second statement (“the conclusion”) for which the rules of logic show that if the first statement is true, the second statement should be true.

Specifically, deductions are inferences which must be true—at least according to the rules. If you assume that the premise (first statement) is true, then you can deduce other things that have to be true. These are called deductive conclusions .

  • Premise : Socrates is a man, and all men are mortal.
  • Conclusion : Socrates is mortal.
  • Premise : This dog always barks when someone is at the door, and the dog didn’t bark.
  • Conclusion : There’s no one at the door.
  • Premise : Sam goes wherever Ben goes, and Ben went to the library.
  • Conclusion : Sam also went to the library.

Each of these miniature arguments has two premises (joined by the “and”). These are syllogisms , which provide a model for all deductive reasoning. It is also possible to deduce something from just one statement; but it isn’t very interesting; for example, from the premise “Socrates is a man,” you can certainly deduce that at least one man exists. But most deductions require more than one premise.

You’ll also notice that each premise contains a very general claim–something about “all men” or what the dog “always” does. This is an extremely common feature of deductions: their premises are general and their conclusions are specific.

In each case, the deductive reasoning is valid , meaning that the conclusion has to be true –if the premises are true. The logical relation between premise and conclusion is airtight. However, you always have to be careful with deductive reasoning. Even though the premise and conclusion are connected by an airtight deduction, that doesn’t necessarily mean the conclusion is true. The premises could be faulty, making the conclusions invalid.

Premises are often unreliable. For example, in the real world no dog is 100% reliable, so you can’t be certain that the premise “the dog always barks” is true. Therefore, even though the connection is a logical certainty, the actual truth of each statement has to be verified through the messy, uncertain process of observations and experiments.

There’s another problem with deductive reasoning, which is that deductive conclusions technically don’t add any new information. For example, once you say “All men are mortal, and Socrates is a man,” you’ve already said that Socrates is mortal. That’s why deductions have the power of logical certainty: the conclusion is already contained within the premises. That doesn’t mean deductive reasoning isn’t useful; it is useful for uncovering implications of what you already know—but not so much for developing really new truths.

II. Deductive Reasoning vs. Inductive Reasoning

While deductive reasoning implies logical certainty, inductive reasoning only gives you reasonable probability. In addition, they often move in opposite directions: where deductive reasoning tends to go from general premises to specific conclusions, inductive reasoning often goes the other way—from specific examples to general conclusions.

Examples of inductive reasoning:

  • Premise: No one has ever lived past the age of 122.
  • Conclusion: Human beings probably all die sooner or later.
  • Premise: So far, I’ve never seen someone come to the door without my dog barking.
  • Conclusion: My dog will probably bark when the next person comes to the door.
  • Premise: Sam has been following Ben around all day.
  • Conclusion: Sam will probably go to the library this afternoon when Ben goes.

Induction allows us to take a series of observations (specific premises) and extrapolate from them to new knowledge about what usually happens (general conclusion) or what will probably happen in the future. This seems extremely useful!

III. Quotations about Deductive reasoning

“In the hypothetico-deductive scheme the inferences we draw from a hypothesis are, in a sense, its logical output. If they are true, the hypothesis need not be altered, but correction is obligatory if they are false.” (Peter Medawar)

Peter Medawar wasn’t the clearest writer around, but he won a Nobel Prize for his part in inventing modern organ transplantation. In this quotation, he explains the importance of deductive reasoning in science; science normally advances through incorrect deductions! If we reason logically and our predictions turn out untrue, we know that there is something wrong with our premises, which motivates new theories from which we can deduce new conclusions to test. For example, if the Earth were flat (premise) then you’d be able to reach its edge (conclusion); since we never reach the edge (the conclusion is wrong), it can’t be flat (the premise is untrue) — which means it’s probably a sphere (new theory). In other words, unlike the popular idea that science is a kind of faith, there are no beliefs in real science—except the belief in the scientific method of making and testing hypotheses with reason and evidence.

“An ideally rational progression of thought will finally bring you back to the point of departure where you return aware of the simplicity of genius, with a delightful sensation that you have embraced truth, while actually you have merely embraced your own self.” (Vladimir Nabokov)

In this quote, the novelist Vladimir Nabokov explains his skeptical attitude toward deductive reasoning. He points out what we already discussed–that deductions get their certainty from the fact that they don’t add any new information. Nabokov extends this idea to rationality in general, but in this quotation he seems to be talking specifically about deductive reasoning.

IV. The History and Importance of Deductive Reasoning

Deductive reasoning is more formalized than induction, but its history goes way back before the origins of formal philosophy. It’s possible that the earliest form of deductive reasoning was math. All of mathematics is one big pile of deductions. It starts with some very general rules defining the sequence of whole numbers, and then deduces all sorts of conclusions from there. Math by itself may not teach us about the world; its conclusions are already buried in its premises, and therefore it doesn’t technically produce new information. However, mathematical deductions have progressed so far from their premises that recently it has become a source of new physical theories, such as with ‘string theory’—a trend that bothers many physicists. But in combination with observation and experimentation, math and deduction have always been powerful tool for understanding and manipulating the world. People all over the world have known about this power since prehistoric times.

Ever since then, mathematicians and philosophers have been working out the formal rules for what counts as a valid deduction. Their work allows us to distinguish good deductive reasoning from sloppy or misleading arguments, and forms the backbone of formal logic.

V. Deductive reasoning in Popular Culture

“It is a capital mistake to theorize before one has data. Insensibly one begins to twist facts to suit theories, instead of theories to suit facts.” (Sherlock Holmes)

Sherlock Holmes famously uses the word “deduction” a lot. But if you pay attention to his logic, you’ll find that it’s almost always inductive rather than deductive; the word “deduction” is being misused. This quote is a well-known summary of Holmes’s method, and as you can see it describes inductive reasoning rather than deductive reasoning. Theories are general, whereas data is specific; therefore, if you start from data and move to theory, you’re moving from specific to general, which suggests that you’re dealing with induction rather than deduction. The definitive proof, though, is in the fact that Sherlock always comes up with stories that are probable , and often very convincing, but not logically certain . Sherlock Holmes never gives us a deductive syllogism ; he gives only inductive stories.

“It’s not complicated; faster is better. And iPhone 5 downloads fastest on AT&T 4G.”

This is an example of a deductive syllogism in an advertisement. Or, actually, only the two premises are given and the listener is expected to automatically deduce the conclusion. The first premise is a general law: faster is better. The second premise applies the law to a particular situation. And the implied conclusion is obvious: the iPhone is better. This conclusion is so obvious that it doesn’t need to be stated — another demonstration of the fact that deductive conclusions are already contained in the premises, as discussed earlier.

a. Induction

b. Reduction

c. Inference

d. All of the above

a. Probability

b. Logical certainty

c. Evidence

c. Philosophy

c. Deductive reasoning

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  • Inductive vs Deductive Research Approach (with Examples)

Inductive vs Deductive Reasoning | Difference & Examples

Published on 4 May 2022 by Raimo Streefkerk . Revised on 10 October 2022.

The main difference between inductive and deductive reasoning is that inductive reasoning aims at developing a theory while deductive reasoning aims at testing an existing theory .

Inductive reasoning moves from specific observations to broad generalisations , and deductive reasoning the other way around.

Both approaches are used in various types of research , and it’s not uncommon to combine them in one large study.

Inductive-vs-deductive-reasoning

Table of contents

Inductive research approach, deductive research approach, combining inductive and deductive research, frequently asked questions about inductive vs deductive reasoning.

When there is little to no existing literature on a topic, it is common to perform inductive research because there is no theory to test. The inductive approach consists of three stages:

  • A low-cost airline flight is delayed
  • Dogs A and B have fleas
  • Elephants depend on water to exist
  • Another 20 flights from low-cost airlines are delayed
  • All observed dogs have fleas
  • All observed animals depend on water to exist
  • Low-cost airlines always have delays
  • All dogs have fleas
  • All biological life depends on water to exist

Limitations of an inductive approach

A conclusion drawn on the basis of an inductive method can never be proven, but it can be invalidated.

Example You observe 1,000 flights from low-cost airlines. All of them experience a delay, which is in line with your theory. However, you can never prove that flight 1,001 will also be delayed. Still, the larger your dataset, the more reliable the conclusion.

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When conducting deductive research , you always start with a theory (the result of inductive research). Reasoning deductively means testing these theories. If there is no theory yet, you cannot conduct deductive research.

The deductive research approach consists of four stages:

  • If passengers fly with a low-cost airline, then they will always experience delays
  • All pet dogs in my apartment building have fleas
  • All land mammals depend on water to exist
  • Collect flight data of low-cost airlines
  • Test all dogs in the building for fleas
  • Study all land mammal species to see if they depend on water
  • 5 out of 100 flights of low-cost airlines are not delayed
  • 10 out of 20 dogs didn’t have fleas
  • All land mammal species depend on water
  • 5 out of 100 flights of low-cost airlines are not delayed = reject hypothesis
  • 10 out of 20 dogs didn’t have fleas = reject hypothesis
  • All land mammal species depend on water = support hypothesis

Limitations of a deductive approach

The conclusions of deductive reasoning can only be true if all the premises set in the inductive study are true and the terms are clear.

  • All dogs have fleas (premise)
  • Benno is a dog (premise)
  • Benno has fleas (conclusion)

Many scientists conducting a larger research project begin with an inductive study (developing a theory). The inductive study is followed up with deductive research to confirm or invalidate the conclusion.

In the examples above, the conclusion (theory) of the inductive study is also used as a starting point for the deductive study.

Inductive reasoning is a bottom-up approach, while deductive reasoning is top-down.

Inductive reasoning takes you from the specific to the general, while in deductive reasoning, you make inferences by going from general premises to specific conclusions.

Inductive reasoning is a method of drawing conclusions by going from the specific to the general. It’s usually contrasted with deductive reasoning, where you proceed from general information to specific conclusions.

Inductive reasoning is also called inductive logic or bottom-up reasoning.

Deductive reasoning is a logical approach where you progress from general ideas to specific conclusions. It’s often contrasted with inductive reasoning , where you start with specific observations and form general conclusions.

Deductive reasoning is also called deductive logic.

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Streefkerk, R. (2022, October 10). Inductive vs Deductive Reasoning | Difference & Examples. Scribbr. Retrieved 19 August 2024, from https://www.scribbr.co.uk/research-methods/inductive-vs-deductive-reasoning/

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Inductive VS Deductive Reasoning – The Meaning of Induction and Deduction, with Argument Examples

Abigail Rennemeyer

If you're conducting research on a topic, you'll use various strategies and methods to gather information and come to a conclusion.

Two of those methods are inductive and deductive reasoning.

So what's the difference between inductive and deductive reasoning, when should you use each method, and is one better than the other?

We'll answer those questions and give you some examples of both types of reasoning in this article.

What is Inductive Reasoning?

The method behind inductive reasoning.

When you're using inductive reasoning to conduct research, you're basing your conclusions off your observations. You gather information - from talking to people, reading old newspapers, observing people, animals, or objects in their natural habitat, and so on.

Inductive reasoning helps you take these observations and form them into a theory. So you're starting with some more specific information (what you've seen/heard) and you're using it to form a more general theory about the way things are.

What does the inductive reasoning process look like?

You can think of this process as a reverse funnel – starting with more specifics and getting broader as you reach your conclusions (theory).

Some people like to think of it as a "bottom up" approach (meaning you're starting at the bottom with the info and are going up to the top where the theory forms).

Here's an example of an inductive argument:

Observation (premise): My Welsh Corgis were incredibly stubborn and independent (specific observation of behavior). Observation (premise): My neighbor's Corgis are the same way (another specific observation of behavior). Theory: All Welsh Corgis are incredibly stubborn and independent (general statement about the behavior of Corgis).

As you can see, I'm basing my theory on my observations of the behavior of a number of Corgis. Since I only have a small amount of data, my conclusion or theory will be quite weak.

If I was able to observe the behavior of 1000 Corgis (omg that would be amazing), my conclusion would be stronger – but still not certain. Because what if 10 of them were extremely well-behaved and obedient? Or what if the 1001st Corgi was?

So, as you can see, I can make a general statement about Corgis being stubborn, but I can't say that ALL of them are.

What can you conclude with inductive reasoning?

As I just discussed, one of the main things to know about inductive reasoning is that any conclusions you make from inductive research will not be 100% certain or confirmed.

Let's talk about the language we use to describe inductive arguments and conclusions. You can have a strong argument (if your premise(s) are true, meaning your conclusion is probably true). And that argument becomes cogent if the conclusion ends up being true.

Still, even if the premises of your argument are true, and that means that your conclusion is probably true, or likely true, or true much of the time – it's not certain.

And – weirdly enough – your conclusion can still be false even if all your premises are true (my Corgis were stubborn, my neighbor's corgis were stubborn, perhaps a friend's Corgis and the Queen of England's Corgis were stubborn...but that doesn't guarantee that all Corgis are stubborn).

How to make your inductive arguments stronger

If you want to make sure your inductive arguments are as strong as possible, there are a couple things you can do.

First of all, make sure you have a large data set to work with. The larger your sample size, the stronger (and more certain/conclusive) your results will be. Again, thousands of Corgis are better than four (I mean, always, amiright?).

Second, make sure you're taking a random and representative sample of the population you're studying. So, for example, don't just study Corgi puppies (cute as they may be). Or show Corgis (theoretically they're better trained). You'd want to make sure you looked at Corgis from all walks of life and of all ages.

If you want to dig deeper into inductive reasoning, look into the three different types – generalization, analogy, and causal inference. You can also look into the two main methods of inductive reasoning, enumerative and eliminative. But those things are a bit out of the scope of this beginner's guide. :)

What is Deductive Reasoning?

The method behind deductive reasoning.

In order to use deductive reasoning, you have to have a theory to begin with. So inductive reasoning usually comes before deductive in your research process.

Once you have a theory, you'll want to test it to see if it's valid and your conclusions are sound. You do this by performing experiments and testing your theory, narrowing down your ideas as the results come in. You perform these tests until only valid conclusions remain.

What does the deductive reasoning process look like?

You can think of this as a proper funnel – you start with the broad open top end of the funnel and get more specific and narrower as you conduct your deductive research.

Some people like to think of this as a "top down" approach (meaning you're starting at the top with your theory, and are working your way down to the bottom/specifics). I think it helps to think of this as " reductive " reasoning – you're reducing your theories and hypotheses down into certain conclusions.

Here's an example of a deductive argument:

We'll use a classic example of deductive reasoning here – because I used to study Greek Archaeology, history, and language:

Theory: All men are mortal Premise: Socrates is a man Conclusion: Therefore, Socrates is mortal

As you can see here, we start off with a general theory – that all men are mortal. (This is assuming you don't believe in elves, fairies, and other beings...)

Then we make an observation (develop a premise) about a particular example of our data set (Socrates). That is, we say that he is a man, which we can establish as a fact.

Finally, because Socrates is a man, and based on our theory, we conclude that Socrates is therefore mortal (since all men are mortal, and he's a man).

You'll notice that deductive reasoning relies less on information that could be biased or uncertain. It uses facts to prove the theory you're trying to prove. If any of your facts lead to false premises, then the conclusion is invalid. And you start the process over.

What can you conclude with deductive reasoning?

Deductive reasoning gives you a certain and conclusive answer to your original question or theory. A deductive argument is only valid if the premises are true. And the arguments are sound when the conclusion, following those valid arguments, is true.

To me, this sounds a bit more like the scientific method. You have a theory, test that theory, and then confirm it with conclusive/valid results.

To boil it all down, in deductive reasoning:

"If all premises are true, the terms are clear , and the rules of deductive logic are followed, then the conclusion reached is necessarily true ." ( Source )

So Does Sherlock Holmes Use Inductive or Deductive Reasoning?

Sherlock Holmes is famous for using his deductive reasoning to solve crimes. But really, he mostly uses inductive reasoning. Now that we've gone through what inductive and deductive reasoning are, we can see why this is the case.

Let's say Sherlock Holmes is called in to work a case where a woman was found dead in her bed, under the covers, and appeared to be sleeping peacefully. There are no footprints in the carpet, no obvious forced entry, and no immediately apparent signs of struggle, injury, and so on.

Sherlock observes all this as he looks in, and then enters the room. He walks around the crime scene making observations and taking notes. He might talk to anyone who lives with her, her neighbors, or others who might have information that could help him out.

Then, once he has all the info he needs, he'll come to a conclusion about how the woman died.

That pretty clearly sounds like an inductive reasoning process to me.

Now you might say - what if Sherlock found the "smoking gun" so to speak? Perhaps this makes his arguments and process seem more deductive.

But still, remember how he gets to his conclusions: starting with observations and evidence, processing that evidence to come up with a hypothesis, and then forming a theory (however strong/true-seeming) about what happened.

How to Use Inductive and Deductive Reasoning Together

As you might be able to tell, researchers rarely just use one of these methods in isolation. So it's not that deductive reasoning is better than inductive reasoning, or vice versa – they work best when used in tandem.

Often times, research will begin inductively. The researcher will make their observations, take notes, and come up with a theory that they want to test.

Then, they'll come up with ways to definitively test that theory. They'll perform their tests, sort through the results, and deductively come to a sure conclusion.

So if you ever hear someone say "I deduce that x happened", they better make sure they're working from facts and not just observations. :)

TL;DR: Inductive vs Deductive Reasoning – What are the Main Differences?

Inductive reasoning:.

  • Based on observations, conversations, stuff you've read
  • Starts with information/evidence and works towards a broader theory
  • Arguments can be strong and cogent, but never valid or sound (that is, certain)
  • Premises can all be true, but conclusion doesn't have to be true

Deductive reasoning:

  • Based on testing a theory, narrowing down the results, and ending with a conclusion
  • Starts with a broader theory and works towards certain conclusion
  • Arguments can be valid/invalid or sound/unsound, because they're based on facts
  • If premises are true, conclusion has to be true

And here's a cool and helpful chart if you're a visual learner:

That's about it!

Now, if you need to conduct some research, you should have a better idea of where to start – and where to go from there.

Just remember that induction is all about observing, hypothesizing, and forming a theory. Deducing is all about taking that (or any) theory, boiling it down, and testing until a certain conclusion(s) is all that remains.

Happy reasoning!

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what is deductive reasoning in critical thinking

What is deductive reasoning?

Have you ever heard of something called deductive reasoning?

Even if you haven't heard of it, there’s a good chance you do it every single day .

Deductive reasoning is a logical type of deductive inference—or a way of thinking that helps you figure out things in a logical and smart way. In simpler words, deductive reasoning helps you make smart guesses based on what you already know is true. 

Want to discover more about it and how can you improve it? Keep reading to learn more. 

Imagine you have a bunch of puzzle pieces (these are facts or information). You also have a picture on the puzzle box (this is a general rule). Then you use these puzzle pieces to create the picture just like on the box. 

Deductive reasoning starts with these general rules or facts that we believe are true. Then, we use these rules to come up with inferences based on new ideas or conclusions. If the rules are true, then the conclusion based on what you come up with must also be true. 

Here’s an example: Let’s say you know that “all cats have tails” and you also know that “Fluffy is a cat.” Using deductive reasoning, you can then conclude that “Fluffy has a tail.” This is because the rule says all cats have tails, and since Fluffy is a cat, she must have a tail. 

Deductive reasoning has three steps: 

Step 1: Starting with what you know: You begin with some things you believe are true. These things can be stuff you’ve seen, things you’ve learned before, or general conclusions. 

Step 2: Figuring something out: You can use these true things to figure out something new. This new thing should also be true if the first things are true. 

Step 3: Checking if it makes sense: Finally, you make sure that the new thing you figured out actually makes sense based on the true things you started with. 

Deductive versus inductive reasoning

There’s a chance you might have heard of inductive reasoning—but it’s not the same as deductive reasoning. Inductive and deductive reasoning are two distinct approaches to logical conclusion-making. 

Here are some key differences: 

Deductive reasoning is like starting with a big idea and using it to figure out smaller things, or having a rule and using it to solve problems. For example, if you know that “all fish live in water” and you also know “Nemo is a fish,” you can use deductive reasoning to figure out that “Nemo lives in water.” You’re using the general rule to find a specific answer. 

Inductive reasoning , on the other hand, is the opposite. You start with lots of specific things, like observations, and then you come up with a general idea based on those specifics. It’s like noticing a bunch of fish in water and then thinking, “Hey, maybe all fish live in water.” So, you’re using many examples to make a big idea. 

The main difference between deductive reasoning and inductive reasoning is that in deductive reasoning, you use a rule to solve puzzles or find specific answers, while with inductive reasoning, you spot patterns to come up with new ideas. Both are used to understand things better. 

Scientists often use both of these ways to learn about the world and make smart conclusions, but even if you’re not a scientist, you can too. 

The significance of deductive reasoning in daily life

Deductive reasoning is a useful tool you can use in everyday life to make choices and solve problems. And whether you realize it or not, you use deductive reasoning already when you think about things based on facts you know. 

For example, if it’s cloudy and you’re wondering whether to take an umbrella, you might remember that it’s rained a lot lately and think, “Maybe I should take the umbrella today.” You’re taking what you know and using it to make a decision. 

When things get tricky, like solving a puzzle or a tough question, deductive reasoning can help, too. You can break down the big problem into smaller parts and figure them out one by one. It’s like solving a big puzzle by focusing on each piece one at a time. 

Deductive reasoning is particularly important in professions such as law, where lawyers use it to draw conclusions from evidence presented in court. By applying deductive reasoning to the facts of a case, lawyers can build a logical argument that supports their client's position.

In science, deductive reasoning is used to draw conclusions from experiments and observations. Scientists use deductive reasoning to develop hypotheses and theories that can be tested through experimentation. By starting with a general set of premises, or principles, and using deductive reasoning to draw specific conclusions, scientists can develop a deeper understanding of the natural world.

The 3 types of deductive reasoning

There are three types of deductive reasoning: categorical deduction, propositional deduction, and predicative deduction. Let’s break them down: 

1. Categorical deduction: reasoning within categories

Categorical deduction involves putting things into groups and making smart decisions based on those groups. Imagine you have a rule like “all dogs bark,” and you know your pet is a dog. You can use categorical deduction to decide that your pet barks. This helps us in many jobs like law and science, where you need to make solid, evidence-based arguments and choices.

2. Propositional deduction: exploring if-then scenarios

Propositional deduction involves exploring if-then scenarios and drawing conclusions based on them. It’s like saying, “If I do my homework, then I can play games.” If you know that “if it’s sunny, the ground dries up,” and you see that the ground is dry, you can figure out that it must have been sunny. People use this technique in debates and discussions to make strong, persuasive points. 

3. Predicative deduction: drawing conclusions from premises

Predicative deduction involves looking at premises, or examples, to understand things better. So, if you know the premise that “all birds have feathers,” and you know Tweety is a bird, you can conclude that Tweety must have feathers. 

All of these types of deductive reasoning are really useful for making good decisions, solving problems, and learning more about the world.

Logically sound deductive reasoning: examples and analysis

So, let’s say you’re solving a puzzle. You have some facts handy, and you want to figure out something new. Logically sound deductive reasoning, or making conclusions based on true facts, helps you do that in a smart way, because it allows you to draw accurate conclusions based on factual information. 

But to understand deductive reasoning better, you need to look at how good these facts are—and this is done by analyzing the validity and soundness of deductive arguments.

Analyzing the validity and soundness of deductive arguments

The validity and soundness of a deductive argument are two important criteria for evaluating its quality. 

  • Validity: An argument is valid when the conclusion must be true based on the facts you have. It’s like putting puzzle pieces together in a way that fits perfectly. For instance, if you know “all roses have thorns” and “the flower you're holding is a rose,” it’s valid to say “the flower you're holding has thorns.”
  • Soundness: An argument is sound when it’s not only valid but is also based on true facts. So, if you can prove that “all roses have thorns” and that “the flower you're holding is a rose,” then this argument is both valid and sound because the facts are true. 

However, an argument can be valid but not sound if the facts are wrong. For example, if you think “all bears can fly” and “Teddy is a bear,” it’s I to say “Teddy can fly,” but it’s not sound because bears can’t actually fly. 

Logically unsound deductive reasoning: examples and explanation

Now, let’s say you’re imagining the same puzzle as before, but someone gives you the wrong pieces. Logically unsound deductive reasoning is like trying to make sense of things using those wrong puzzle pieces. It can lead you to wrong conclusions and isn’t a good way to think. 

Here’s an example: Let’s say someone tells you “all dogs have superpowers” and then says “Rover is a dog, so Rover has superpowers.” This is not a good way to think because, as much as we would love to see this in real life, the whole first part of the statement is wrong. 

Another example is when someone says “everyone who wears glasses is a genius” and then says “Emma wears glasses, so Emma is a genius.” This isn’t a good way to think either because not all people who wear glasses are geniuses. 

When you use false facts or make mistakes in your thinking, you can end up with wrong ideas, which may ultimately lead to confusion and bad decisions. To think clearly and make good choices, it’s important to do your homework and use true facts that fit together properly.  

Common mistakes in deductive reasoning and how to avoid them

Deductive reasoning is a great tool for critical thinking, but it’s also prone to several common mistakes. Here are a few and how to avoid them: 

  • Assuming that the premises are true without real evidence: To avoid this, always check if the facts are true before making a decision. 
  • Using invalid, or wrong arguments that don’t logically make sense: To fix this, use an intentional way of thinking that really fits the situation. 
  • Ignoring facts that don’t agree with what you think: To fix this, consider all sides of the story before making up your mind.
  • Using tricky ways of reasoning, such as circular reasoning or ad hominem attacks: To avoid this, always make sure your line of thinking makes sense. 

These mistakes can have a significant impact on the accuracy and reliability of deductive reasoning. 

Want to avoid these mistakes in the future? Here are our tips:

  • Check if the facts are true before believing them.
  • Use a way of thinking that fits the situation. 
  • Think about all the different ideas and facts. 
  • Use smart and clear ways of thinking, not tricky ones. 

Improving your deductive reasoning skills: practical tips

There are several practical tips for improving your deductive reasoning skills, including practicing regularly, being mentally flexible, and using games and activities that boost deductive reasoning. By honing your deductive reasoning skills, you can become a more effective problem solver and critical thinker.

5 useful strategies to enhance your deductive reasoning

Some useful strategies to enhance your deductive reasoning include:

  • Breaking down complex problems into smaller parts to better understand the facts
  • Considering all possible scenarios and counterexamples to ensure that the conclusion is accurate and reliable
  • Using diagrams, charts, or other visual aids to help organize information and identify patterns
  • Practicing regularly and consistently to build your deductive reasoning skills over time
  • Being mentally flexible and open-minded to new ideas and perspectives

Engaging with fun brain games that boost deductive reasoning

Another strategy? Games. There are several games and activities that can help boost deductive reasoning, including the following:

  • Sudoku: Sudokus are number-based puzzle games that challenge your mind to think logically and systematically.
  • Crossword puzzles: Crossword puzzles are word-based puzzle games that require deduction and problem-solving skills.
  • Logic puzzles: Logic puzzles require you to use deductive reasoning to determine the correct sequence of events or relationships between objects.

All these games help improve deductive reasoning by challenging the mind to think logically and draw accurate conclusions from premises. Regular practice with these activities can help you build your deductive reasoning skills and become a more effective problem-solver and critical thinker.

Final thoughts on deductive reasoning: a tool for critical thinking

As you can see, deductive reasoning is a valuable tool for critical thinking. It helps you make smart decisions based on true facts. By learning about different types of deductive reasoning and avoiding common mistakes, you can get even better at solving problems and thinking really well.

Just like practicing a sport or playing an instrument, practicing deductive reasoning exercises help you get better at it. The more you practice, the better you become at using deductive reasoning effectively. And if you’re looking for an easy and fun way to do this, check out the Elevate app. 

With the Elevate app, you can make exercising your deductive reasoning skills a habit through personalized brain training workouts, plus 40+ games backed by science and designed to improve your vocabulary , mental math, memory skills , and more. 

Download Elevate on iOS or Android now, and start flexing your critical thinking muscles today!

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TIP Sheet DEDUCTIVE, INDUCTIVE, AND ABDUCTIVE REASONING

Reasoning is the process of using existing knowledge to draw conclusions, make predictions, or construct explanations. Three methods of reasoning are the deductive, inductive, and abductive approaches.

Deductive reasoning: conclusion guaranteed Deductive reasoning starts with the assertion of a general rule and proceeds from there to a guaranteed specific conclusion. Deductive reasoning moves from the general rule to the specific application: In deductive reasoning, if the original assertions are true, then the conclusion must also be true. For example, math is deductive:

If x = 4 And if y = 1 Then 2x + y = 9

In this example, it is a logical necessity that 2x + y equals 9; 2x + y must equal 9. As a matter of fact, formal, symbolic logic uses a language that looks rather like the math equality above, complete with its own operators and syntax. But a deductive syllogism (think of it as a plain-English version of a math equality) can be expressed in ordinary language:

If entropy (disorder) in a system will increase unless energy is expended, And if my living room is a system, Then disorder will increase in my living room unless I clean it.

In the syllogism above, the first two statements, the propositions or premises , lead logically to the third statement, the conclusion . Here is another example:

A medical technology ought to be funded if it has been used successfully to treat patients. Adult stem cells are being used to treat patients successfully in more than sixty-five new therapies. Adult stem cell research and technology should be funded.

A conclusion is sound (true) or unsound (false), depending on the truth of the original premises (for any premise may be true or false). At the same time, independent of the truth or falsity of the premises, the deductive inference itself (the process of "connecting the dots" from premise to conclusion) is either valid or invalid . The inferential process can be valid even if the premise is false:

There is no such thing as drought in the West. California is in the West. California need never make plans to deal with a drought.

In the example above, though the inferential process itself is valid, the conclusion is false because the premise, There is no such thing as drought in the West , is false. A syllogism yields a false conclusion if either of its propositions is false. A syllogism like this is particularly insidious because it looks so very logical–it is, in fact, logical. But whether in error or malice, if either of the propositions above is wrong, then a policy decision based upon it ( California need never make plans to deal with a drought ) probably would fail to serve the public interest.

Assuming the propositions are sound, the rather stern logic of deductive reasoning can give you absolutely certain conclusions. However, deductive reasoning cannot really increase human knowledge (it is nonampliative ) because the conclusions yielded by deductive reasoning are tautologies -statements that are contained within the premises and virtually self-evident. Therefore, while with deductive reasoning we can make observations and expand implications, we cannot make predictions about future or otherwise non-observed phenomena.

Inductive reasoning: conclusion merely likely Inductive reasoning begins with observations that are specific and limited in scope, and proceeds to a generalized conclusion that is likely, but not certain, in light of accumulated evidence. You could say that inductive reasoning moves from the specific to the general. Much scientific research is carried out by the inductive method: gathering evidence, seeking patterns, and forming a hypothesis or theory to explain what is seen.

Conclusions reached by the inductive method are not logical necessities; no amount of inductive evidence guarantees the conclusion. This is because there is no way to know that all the possible evidence has been gathered, and that there exists no further bit of unobserved evidence that might invalidate my hypothesis. Thus, while the newspapers might report the conclusions of scientific research as absolutes, scientific literature itself uses more cautious language, the language of inductively reached, probable conclusions:

What we have seen is the ability of these cells to feed the blood vessels of tumors and to heal the blood vessels surrounding wounds. The findings suggest that these adult stem cells may be an ideal source of cells for clinical therapy. For example, we can envision the use of these stem cells for therapies against cancer tumors [...].1

Because inductive conclusions are not logical necessities, inductive arguments are not simply true. Rather, they are cogent: that is, the evidence seems complete, relevant, and generally convincing, and the conclusion is therefore probably true. Nor are inductive arguments simply false; rather, they are not cogent .

It is an important difference from deductive reasoning that, while inductive reasoning cannot yield an absolutely certain conclusion, it can actually increase human knowledge (it is ampliative ). It can make predictions about future events or as-yet unobserved phenomena.

For example, Albert Einstein observed the movement of a pocket compass when he was five years old and became fascinated with the idea that something invisible in the space around the compass needle was causing it to move. This observation, combined with additional observations (of moving trains, for example) and the results of logical and mathematical tools (deduction), resulted in a rule that fit his observations and could predict events that were as yet unobserved.

Abductive reasoning: taking your best shot Abductive reasoning typically begins with an incomplete set of observations and proceeds to the likeliest possible explanation for the set. Abductive reasoning yields the kind of daily decision-making that does its best with the information at hand, which often is incomplete.

A medical diagnosis is an application of abductive reasoning: given this set of symptoms, what is the diagnosis that would best explain most of them? Likewise, when jurors hear evidence in a criminal case, they must consider whether the prosecution or the defense has the best explanation to cover all the points of evidence. While there may be no certainty about their verdict, since there may exist additional evidence that was not admitted in the case, they make their best guess based on what they know.

While cogent inductive reasoning requires that the evidence that might shed light on the subject be fairly complete, whether positive or negative, abductive reasoning is characterized by lack of completeness, either in the evidence, or in the explanation, or both. A patient may be unconscious or fail to report every symptom, for example, resulting in incomplete evidence, or a doctor may arrive at a diagnosis that fails to explain several of the symptoms. Still, he must reach the best diagnosis he can.

The abductive process can be creative, intuitive, even revolutionary.2 Einstein's work, for example, was not just inductive and deductive, but involved a creative leap of imagination and visualization that scarcely seemed warranted by the mere observation of moving trains and falling elevators. In fact, so much of Einstein's work was done as a "thought experiment" (for he never experimentally dropped elevators), that some of his peers discredited it as too fanciful. Nevertheless, he appears to have been right-until now his remarkable conclusions about space-time continue to be verified experientially.

References 1. Verfaillie, Catherine. "Adult Bone Marrow Stem Cells Can Become Blood Vessels." News release from the University of Minnesota. Jan. 30, 2002. June 1, 2005. < http://www.sciencedaily.com/releases/2002/01/020131074645.htm >

2. Thagard, Paul and Cameron Shelley. "Abductive reasoning: Logic, visual thinking, and coherence." Waterloo, Ontario: Philosophy Department, Univerisity of Waterloo, 1997. June 2, 2005. < http://cogsci.uwaterloo.ca/Articles/Pages/%7FAbductive.html >

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What is Deductive Reasoning Definition and Examples - StudioBinder

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What is Deductive Reasoning? Definition and Examples

  • What is Deductive Reasoning
  • What is Abductive Reasoning
  • What is Inductive Reasoning
  • Inductive vs Deductive Reasoning
  • What are Context Clues

I f you’ve ever read a detective story before, you’ve probably heard the term “deductive reasoning,” but what is deductive reasoning and what makes it different from inductive reasoning? We’re going to answer those questions by looking at some deductive reasoning examples from Monty Python and the Holy Grail and Sherlock . By the end, you’ll know how to properly apply deductive reasoning in your writing and daily life. 

Deductive Reasoning Definition and Examples

First, let’s define deductive reasoning.

Deductive reasoning, or deductive logic, is used to determine whether premises add up to a sensible conclusion. But for a conclusion to be made, deductions must be tested. We’ll get into some deductive reasoning examples but let’s start with a definition.

DEDUCTIVE REASONING DEFINITION

What is deductive reasoning.

Deductive reasoning is a “top-down” process of understanding whether or not an assumption is true, based on logic and experimentation. Deductions begin with a general assumption, then shrink in scope until a specific determination is made. For example, a general assumption may state that all dogs have eyes; this is a logical premise, but I could argue that I have eyes, therefore I must be a dog, which would prove the deduction to be illogical.

Characteristics of Deductive Reasoning

  • Top-to-bottom reasoning
  • Effective for reaching certain conclusions
  • Not a “foolproof” method

For example, say an angry consortium of villagers intend to burn a witch. They say that since witches float in water, they must be as light as a duck. To test this, the villagers weigh the witch against a duck.

The logic suggests that if the witch and the duck are the same weight, then the woman must be a witch. Sound familiar? That’s because it’s taken from a scene from Monty Python and the Holy Grail . Check out the clip below:

Monty Python Deductive Reasoning Examples

This scene satirizes many of the issues that exist with deductive and inductive reasoning — but it also shows that you can expose these follies for comedic effect. So what is deductive reasoning used for? 

Inductive and Deductive Thinking

Inductive vs deductive reasoning.

I know what you’re thinking, “what’s the difference between inductive and deductive reasoning ?” Good question! Deductive and inductive reasoning are opposites — deduction applies a top-to-bottom (general to specific) approach to reasoning whereas induction applies a bottom-to-top (specific to general) approach. This next video explores in further detail the ways in which examples of the two modes are different.

Inductive vs Deductive Reasoning Examples

Here’s another way to think about inductive vs deductive reasoning:

Deductive reasoning starts with a general assumption, it applies logic, then it tests that logic to reach a conclusion. With this type of reasoning, if the premises are true, then the conclusion must be true.

Logically Sound Deductive Reasoning Examples:

  • All dogs have ears; golden retrievers are dogs, therefore they have ears.
  • All racing cars must go over 80MPH; the Dodge Charger is a racing car, therefore it can go over 80MPH.
  • Christmas is always Dec. 25th; today is Dec. 25th, therefore it’s Christmas.

Logically Unsound Deductive Reasoning Examples:

  • All zebras have stripes; tigers have stripes, therefore tigers are zebras.
  • Fourth of July always has fireworks; today there were fireworks, therefore it must be the Fourth of July.
  • Carrots are orange; oranges are orange, therefore oranges are carrots.

Inductive reasoning starts with a specific assumption, then it broadens in scope until it reaches a generalized conclusion. With inductive reasoning, the conclusion may be false even if the premises are true.

Generalized Inductive Reasoning Example:

  • There are a total of 20 apples and oranges in a basket. I pulled out five; four apples and one orange, therefore there are 16 apples and four oranges in the basket.

Predictive Inductive Reasoning Example:

  • Most baseball players become coaches. Eduardo is a baseball player, so he’ll become a coach.

Statistical Syllogism Inductive Reasoning Example:

  • 95% of Oxford graduates went on to get PhD’s; Rocky graduated from Oxford, therefore he’s going to get a PhD.

There’s a third type of reasoning called abduction. Abductive reasoning is a predictive inference in which we guess the most likely conclusion given a specific set of premises. Here’s an example:

  • I arrived home to find the birthday cake crudely eaten. Nobody was home besides my dog. My dog must have eaten the birthday cake.

Deductive Reasoning Examples in Everyday Life

Types of deductive reasoning.

There are three major types of deductive reasoning we can use to test deductions: syllogism, modus ponens, and modus tollens. Let's break these down one at a time.

Syllogism is probably the most simple of the 3 types of deductive reasoning. In simplest terms syllogism states that if A=B and B=C, then A=C. It takes two separate clauses and connects them together. A more creative example would be: a puma is a cat, cats are mammals, therefore pumas are mammals.

Modus Ponens

A modus ponens is when a deduction is presented as a conditional statement, proven by subsequent clauses: the antecedent and consequent. For example: Every player on the Boston Celtics is between the ages of 21 and 31. Jayson Tatum is on the Boston Celtics, therefore he must be between 21 and 31.

Modus Tollens

A modus tollens is the opposite of a modus ponens. Whereas the latter affirms a conditional statement, the former refutes it. For example: The freezing point of water is 32 degrees Fahrenheit. It’s hotter than 32 degrees Fahrenheit, so water will not freeze. 

Deductive Reasoning Meaning

Deductive reasoning in storytelling.

In storytelling, deductive reasoning means more than what it was intended to. This type of reasoning has become a carte blanche term for when a character makes any sort of inference. A lot of the time, we say that inferences are deductions when in reality, they’re inductions or abductions.

Sherlock Holmes is a character that appropriately applies deductive thinking to reach logical conclusions. By this, I mean that when Sherlock makes an inference, the premises of the assumption usually add up to the conclusion. Let’s take a look at a clip from the BBC series Sherlock to see how deductive reasoning is used in TV:

Sherlock Deductive Reasoning Examples

It may be a little difficult to hear Sherlock explain deductive reasoning here due to the breakneck speed in which he speaks, but if you listen closely, you’ll hear that all the premises add up to a logical conclusion.

If the inferences were inductive, Sherlock would acknowledge a generalization. If they were abductive, he’d have to suggest probability. But he does neither. Instead, he promises that his inferences are true, and that they must be true because all premises are accounted for.

So what is deductive reasoning? Well, it’s fair to say the deductive reasoning method is used to test the premises of a statement. When used correctly, deductions allow us to see the world in mostly objective sense.

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Want to see some deductions courtesy of Sir Sherlock Holmes? Guy Ritchie's pair of reimagined detective capers with Holmes and Watson are your best bet.

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What Is Deductive Reasoning?

Definition & Examples of Deductive Reasoning

what is deductive reasoning in critical thinking

How Deductive Reasoning Works

Deductive reasoning vs. inductive reasoning, examples of deductive reasoning, benefits of deductive reasoning.

Deductive reasoning is a type of logical thinking that starts with a general idea and reaches a specific conclusion. It's sometimes is referred to as top-down thinking or moving from the general to the specific.

Learn more about deductive reasoning and its value in the workplace.

Deductive reasoning is a form of logical thinking that's widely applied in many different industries and valued by employers. It relies on a general statement or hypothesis—sometimes called a premise—believed to be true. The premise is used to reach a specific, logical conclusion.

A common example is the if/then statement. If A = B and B = C, then deductive reasoning tells us that A = C.

  • Alternate name : Deduction

With deductive reasoning, premises are used to reach a conclusion. For example, a marketing manager might realize that their department is going over budget on advertising. After reviewing the numbers, they observe that while the company's Facebook advertisements get a lot of clicks, they have a higher number of contacts through their email list.

The manager decides to reduce Facebook advertising to stay under budget and focus on getting consumers to sign up for their email list. Over the next quarter, the department stays under budget and sales are steady.

The manager followed the deductive reasoning process. Here's how deductive reasoning in the workplace typically works:

  • Clarify the issue, making sure to understand what's at stake.
  • Look at data relating to the issue, asking questions.
  • Formulate a hypothesis, which is a possible reason for the issue.
  • Test the hypothesis by implementing a solution that resolves the reason for the issue.
  • Evaluate your results, repeating the steps until the desired results are achieved.

Deductive reasoning differs from inductive reasoning , sometimes known as bottom-up thinking. Inductive thinking starts with specific observations which are used to reach a broad conclusion. Deductive reasoning starts with broad observations which are used to reach specific conclusions.

Deductive Reasoning Inductive Reasoning
Uses a general idea to reach specific conclusion.  Uses specific observations to reach a general conclusion. 
A marketing professional might use deductive reasoning to formulate and test advertising strategies.  A coffee shop owner observes that a few customers are waiting to enter when the store opens each day and decides to open an hour earlier on weekdays. 

Deductive reasoning is an important skill in many different jobs and industries. For example, it's particularly useful for people in management positions who have to make critical business decisions every day.

If you're looking for a new position, highlighting your deductive reasoning can show employers you know how to use logic to benefit the organization.

To prepare, think of ways you've used deductive reasoning in the workplace. Consider these examples:

  • Based on market research, a marketing team believes that professional women are overloaded with family and work responsibilities and strapped for time. They decide to advertise that their hair coloring product can be applied in less time than their competition's hair coloring product. They see a modest increase in sales.
  • A human resources department has identified public speaking skills as an important qualifier for a particular position. They decide to require candidates to make an oral presentation on a predetermined topic as a part of their second interview. The candidate they decide to hire proves successful in this aspect of their work.
  • After reviewing their numbers, development executives at a college believe that professionals working in the financial sector are the best donors. They direct their two most effective staff members to target alumni working in finance when it comes time to plan their next fundraising strategy. 
  • A liquor store owner identifies a trend that customers are buying more bourbon than other types of alcohol. The store owner then allocates prime ad space to bourbon and offers related discounts.
  • Detectives believe that robberies at banks are usually inside jobs planned by experienced thieves. To narrow down their suspects after a bank robbery, they decide to do criminal background checks on employees with access to cash reserves. 

You can develop your deductive reasoning skills by developing your knowledge base through reading and research and by doing puzzles that challenge you to see new patterns.  

Deductive reasoning allows you to use logic to justify work-related decisions. Even when the decision doesn't work out, you can explain why you decided to do what you did. Being able to use deductive reasoning is valuable to employers. Employers value decisive, proactive employees.

When applying for jobs, it's a good idea to highlight your deductive reasoning skills. This is particularly important if you're applying for a managerial position in which you will have to make important decisions that will affect the organization.

You don’t need to include the phrase “deductive reasoning” on your job materials unless it's a specific requirement of the job. Instead, you might mention in your cover letter or resume an example of when you used deductive reasoning to benefit your organization. Specific examples will clearly show employers how you use your logic to bring value to the company you work for.

Key Takeaways

  • Deductive reasoning starts with a general idea and reaches a specific conclusion. 
  • It's a form of logical thinking that's valued by employers. 
  • You may use deductive reasoning without realizing it to make decisions about your work. 
  • It's an important skill to highlight by providing examples in your cover letter, resume, or during your interview. 

Motlow State. " Deductive and Inductive Reasoning ." Accessed June 28, 2020.

Cleverism. " Learn Why Employers Value Deductive Reasoning, and How You Can Show It ." Accessed June 28, 2020.

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  • Korean J Med Educ
  • v.31(4); 2019 Dec

Reasoning processes in clinical reasoning: from the perspective of cognitive psychology

Hyoung seok shin.

Department of Medical Education, Korea University College of Medicine, Seoul, Korea

Clinical reasoning is considered a crucial concept in reaching medical decisions. This paper reviews the reasoning processes involved in clinical reasoning from the perspective of cognitive psychology. To properly use clinical reasoning, one requires not only domain knowledge but also structural knowledge, such as critical thinking skills. In this paper, two types of reasoning process required for critical thinking are discussed: inductive and deductive. Inductive and deductive reasoning processes have different features and are generally appropriate for different types of tasks. Numerous studies have suggested that experts tend to use inductive reasoning while novices tend to use deductive reasoning. However, even experts sometimes use deductive reasoning when facing challenging and unfamiliar problems. In clinical reasoning, expert physicians generally use inductive reasoning with a holistic viewpoint based on a full understanding of content knowledge in most cases. Such a problem-solving process appears as a type of recognition-primed decision making only in experienced physicians’ clinical reasoning. However, they also use deductive reasoning when distinct patterns of illness are not recognized. Therefore, medical schools should pursue problem-based learning by providing students with various opportunities to develop the critical thinking skills required for problem solving in a holistic manner.

Introduction

It is hard to describe clinical reasoning in a sentence, because it has been studied by a number of researchers from various perspectives, such as medical education, cognitive psychology, clinical psychology, and so forth, and they have failed to reach an agreement on its basic characteristics [ 1 ]. Accordingly, clinical reasoning has been defined in various ways. Some researchers defined clinical reasoning as a crucial skill or ability that all physicians should have for their clinical decision making, regardless of their area of expertise [ 2 , 3 ]. Others focused more on the processes of clinical reasoning; thus, they defined it as a complex process of identifying the clinical issues to propose a treatment plan [ 4 - 6 ]. However, these definitions are not so different. Taking this into account, it can be concluded that clinical reasoning is used to analyze patients’ status and arrive at a medical decision so that doctors can provide the proper medical treatment.

In reality, properly working clinical reasoning requires three domains of knowledge: diagnostic knowledge, etiological knowledge, and treatment knowledge [ 6 ]. From the perspective of cognitive psychology, structural knowledge is needed to integrate domain knowledge and find solutions based on the learner’s prior knowledge and experience [ 7 ], and structural knowledge can be constructed as a form of mental model by understanding the relations between the interconnected factors involved in clinical issues [ 8 , 9 ]. In this cognitive process, critical thinking skills such as causal reasoning and systems thinking can play a pivotal role in developing deeper understanding of given problem situations. Causal reasoning is the ability to identify causal relationships between sets of causes and effects [ 10 ]. Causality often involves a series or chain of events that can be used to infer or predict the effects and consequences of a particular cause [ 10 - 13 ]. Systems thinking is a thinking paradigm or conceptual framework where understanding is defined in terms of how well one is able to break a complex system down into its component parts [ 14 , 15 ]. It is based on the premise that a system involves causality between factors that are parts of the system as a whole [ 14 ]. Systems thinking is a process for achieving a deeper understanding of complex phenomena that are composed of components that are causally interrelated [ 14 - 16 ]. As a result, causal reasoning and systems thinking are skills that can help people to better understand complex phenomena in order to arrive at effective and targeted solutions that address the root causes of complex problems [ 10 , 12 , 15 ].

If cognitive skills work properly, one can make correct decisions all of the time. However, human reasoning is not always logical, and people often make mistakes in their reasoning. The more difficult the problems with which they are presented, the more likely they are to choose wrong answers that are produced by errors or flaws in the reasoning process [ 17 , 18 ]. Individual differences in reasoning skills—such as systems thinking, causal reasoning, and thinking processes—may influence and explain observed differences in their understanding. Therefore, to better assist learners in solving problems, instructors should focus more on facilitating the reasoning skills required to solve given problems successfully.

In this review paper, the author focuses on the reasoning processes involved in clinical reasoning, given that clinical reasoning is considered as a sort of problem-solving process. Therefore, this paper introduces concepts related to the reasoning processes involved in clinical reasoning and their influences on novices and experts in the field of medical education from the perspective of cognitive psychology. Then, based on the contents discussed, the author will be able to propose specific instructional strategies associated with reasoning processes to improve medical students’ reasoning skills to enhance their clinical reasoning.

Concepts and nature of reasoning processes

Generally, reasoning processes can be categorized into two types: inductive/forward and deductive/backward [ 19 ]. In an inductive reasoning process, one observes several individual facts first, then makes a conclusion about a premise or principle based on these facts. Yet there may be the possibility that a conclusion is not true even though a premise or principle in support of that conclusion is true, because the conclusion is generalized from the facts observed by the learner, but the learner does not observe all relevant examples [ 20 ].

In general, in a deductive reasoning process, according to Johnson-Laird [ 20 ], one establishes a mental model or a set of models to solve given problems considering general knowledge and principles based on a solid foundation. Then, one makes a conclusion or finds a solution based on the mental model or set of models. To verify a mental model, one needs to check the validity of the conclusions or solutions by searching for counterexamples. If one cannot find any counterexamples, the conclusions can be accepted as true and the solutions as valid. Consequently, the initial mental model or set of models can be used for deductive reasoning.

Anderson [ 17 ] proposed three different ways of solving complex problems: means-ends analysis, working backward, and planning by simplification. A means-ends analysis is a process that gets rid of differences between the current state and the ideal state in order to determine sub-goals in solving problems, and the process can be repeated until the major goal is achieved [ 21 - 23 ]. It can be considered an inductive reasoning process, because the distinct feature of means-ends analysis where it achieves sub-goals in consecutive order is similar to inductive reasoning. Working backward is addressed as an opposite concept to means-ends analysis [ 17 ], because it needs to set up a desired result to find causes by measuring the gap between the current state and the ideal state; then, this process is repeated until the root causes of a problem are identified. According to Anderson [ 17 ], means-ends analysis (inductive reasoning) is more useful in finding a solution quickly when a limited number of options are given or many sub-goals should be achieved for the major goal; whereas working backward (deductive reasoning) spends more time removing wrong answers or inferences to find the root causes of a problem. In conclusion, inductive and deductive reasoning processes have different features and can play different roles in solving complex problems.

The use of reasoning processes

A number of researchers across different fields have used inductive and deductive approaches as reasoning processes to solve complex problems or complete tasks. For example, Scavarda et al. [ 24 ] used both approaches in their study to collect qualitative data through interviews with experts, and they found that experts with a deductive approach used a top-down approach and those with an inductive approach used a bottom-up approach to solve a given problem. In a study of Overmars et al. [ 25 ], the results showed that a deductive approach explicitly illustrated causal relations and processes in 39 geographic contexts and it was appropriate for evaluating various possible scenarios; whereas an inductive approach presented associations that did not guarantee causality and was more useful for identifying relatively detailed changes.

Sharma et al. [ 26 ] found that inductive or deductive approaches can both be useful depending on the characteristics of the tasks and resources available to solve problems. An inductive approach is considered a data-driven approach, which is a way to find possible outcomes based on rules detected from undoubted facts [ 26 ]. Therefore, if there is a lot of available data and an output hypothesis, then it is effective to use an inductive approach to discover solutions or unexpected and interesting findings [ 26 , 27 ]. An inductive approach makes it possible to directly reach conclusions via thorough reasoning that involves the following procedures: (1) recognize, (2) select, and (3) act [ 28 ]. These procedures are recurrent, but one cannot know how long they should be continued to complete a task, because a goal is not specified [ 26 ]. Consequently, an inductive approach is useful when analyzing an unstructured data set or system [ 29 ].

On the other hand, a deductive approach sets up a desired goal first, then finds a supporting basis—such as information and rules—for the goals [ 26 ]. For this, a backward approach, which is considered deductive reasoning, gradually gets rid of things proved unnecessary for achieving the goal while reasoning; therefore, it is regarded as a goal-driven approach [ 28 ]. If the output hypothesis is limited and it is necessary to find supporting facts from data, then a deductive approach would be effective [ 26 , 28 ]. This implies that a deductive approach is more appropriate when a system or phenomenon is well-structured and relationships between the components are clearly present [ 29 ]. Table 1 shows a summary of the features and differences of the inductive and deductive reasoning processes.

Features of Inductive and Deductive Reasoning Processes

Inductive reasoningDeductive reasoning
Information processingBottom-upTop-down
Reasoning directionForwardBackward
Data processing strategiesData drivenGoal driven
Appropriate data typeUnstructured dataWell-structured data
Appropriate task typeExploratory tasksDiagnostic and classification tasks
How to reach a conclusionCollecting evidence from cases then building a general principle (specific cases → general principle)Setting up a hypothesis then reaching a logical conclusion (hypothesis → cases)
Validity of conclusionA conclusion can be false even if all the premises are trueA conclusion cannot be false if the premises are true
Required abilityThe ability to recognize meaningful patterns and connectionsThe ability to logically reason
Purpose of reasoningFormation of hypotheses and theoriesPrediction of consequences

The classification according to the reasoning processes in the table is dichotomous, but they do not always follow this classification absolutely. This means that each reasoning process shows such tendencies.

Considering the attributes of the two reasoning processes, an inductive approach is effective for exploratory tasks that do not have distinct goals—for example, planning, design, process monitoring, and so on, while a deductive approach is more useful for diagnostic and classification tasks [ 26 ]. In addition, an inductive approach is more useful for discovering solutions from an unstructured system. On the other hand, a deductive approach can be better used to identify root causes in a well-structured context. While both reasoning approaches are useful in particular contexts, it can be suggested that inductive reasoning is more appropriate than deductive reasoning in clinical situations, which focus on diagnosis and treatment of diseases rather than on finding their causes.

Reasoning processes by novices and experts

As mentioned above, which reasoning process is more effective for reaching conclusions can be generally determined depending on the context and purpose of the problem solving. In reality, however, learners’ choices are not always consistent with this suggestion, because they are affected not only by the problem itself, but also by the learner. Assuming that learners or individuals can be categorized into two types, novices and experts, based on their level of prior knowledge and structural knowledge, much research has shown that novices and experts use a different reasoning process for problem solving. For example, in a study of Eseryel et al. [ 30 ], novice instructional designers who possessed theoretical knowledge but little experience showed different patterns of ill-structured problem solving compared to experts with real-life experience. Given that each learner has a different level of prior knowledge relating to particular topics and critical thinking skills, selecting the proper reasoning process for each problem is quite complex. This section focuses on which reasoning process an individual uses depending on their content and structural knowledge.

Numerous studies have examined which reasoning processes are used by experts, who have sufficient content and structural knowledge, and novices, who have little content and structural knowledge, for problem solving. The result of a study of Hong et al. [ 31 ] showed that children generally performed better when using cause-effect inferences (inductive approach) than effect-cause inferences (considered a deductive approach). According to Anderson [ 17 ], people are faced with some difficulties when they solve problems using induction. The first difficulty is in formulating proper hypotheses and the second is that people do not know how to interpret negative evidence when it is given and reach a conclusion based on that evidence [ 17 ]. Nevertheless, most students use a type of inductive reasoning to solve problems that they have not previously faced [ 32 ]. Taken together, the studies suggest that novices generally prefer an inductive approach to a deductive approach for solving problems because they may feel comfortable and natural using an inductive approach but tend to experience difficulties during problem-solving processes. From these findings, it can be concluded that novices are more likely to use inductive reasoning, but it is not always productive.

Nevertheless, there is still a controversy about which reasoning processes are used by experts or novices [ 33 ]. For example, experts in specific domains use an inductive approach to solving problems, but novices, who have a lower level of prior knowledge in specific domains, tend to use a deductive approach [ 23 ]. In contrast, according to Smith [ 34 ], studies in which more familiar problems were used concluded that experts preferred an inductive approach, whereas in studies that employed relatively unfamiliar problems that required more time and effort to solve, experts tended to prefer a deductive approach. In line with this finding, in solving physics problems, experts mostly used inductive reasoning that was faster and had fewer errors for problem solving only when they encountered easy or familiar problems where they could gain a full understanding of the situation quickly, but novices took more time to deductively reason by planning and solving each step in the process of problem solving [ 35 ].

Assuming that an individual’s prior knowledge consists of content knowledge such as knowledge of specific domains as well as structural knowledge such as the critical thinking skills required for problem solving in the relevant field, it seems experts use an inductive approach when faced with relatively easy or familiar problems; while a deductive approach is used for relatively challenging, unfamiliar, or complex problems. In the case of novices, it may be better to use deductive reasoning for problem solving considering that they have a lower level of prior knowledge and that even experts use deductive reasoning to solve complex problems.

Inductive and deductive reasoning in clinical reasoning

In medicine, concepts of inductive and deductive reasoning apply to gathering appropriate information and making a clinical diagnosis considering that the medical treatment process is a form of problem solving. Inductive reasoning is used to make a diagnosis by starting with an analysis of observed clinical data [ 36 , 37 ]. Inductive reasoning is considered as scheme-inductive problem solving in medicine [ 36 ], because in inductive reasoning, one first constructs his/her scheme (also considered a mental model) based on one’s experiences and knowledge. It is generally used for a clinical presentation-based model, which has been most recently applied to medical education [ 38 ].

In contrast, deductive reasoning entails making a clinical diagnosis by testing hypotheses based on systematically collected data [ 39 ]. Deductive reasoning is considered an information-gathering method, because one constructs a hypothesis first then finds supporting or refuting facts from data [ 36 , 40 ]. It has been mostly used for discipline-based, system-based, and case-based models in medical education [ 38 ].

Inductive and deductive reasoning by novice and expert physicians

A growing body of research explores which reasoning processes are mainly used by novices and experts in clinical reasoning. Novice physicians generally use deductive reasoning, because limited knowledge restricts them from using deductive reasoning [ 1 , 38 ]. Also, it is hard to consider deductive reasoning as an approach generally used by experts, since they do not repeatedly test a hypothesis based on limited knowledge in order to move on to the next stage in the process of problem solving [ 38 ]. Therefore, it seems that deductive reasoning is generally used by novices, while inductive reasoning is used by expert physicians in general. However, this may be too conclusive and needs to be further examined in the context of clinical reasoning.

In clinical reasoning, inductive reasoning is more intuitive and requires a holistic view based on a full understanding of content knowledge, including declarative and procedural knowledge, but also structural knowledge; thus, it occurs only when physicians’ knowledge structures of given problems are highly organized [ 38 ]. Expert physicians recognize particular patterns of symptoms through repeated application of deductive reasoning, and the pattern recognition process makes it possible for them to apply inductive reasoning when diagnosing patients [ 10 ]. As experts automate a number of cognitive sequences required for problem solving in their own fields [ 35 ], expert physicians automatically make appropriate diagnoses following a process of clinical reasoning when they encounter patients who have familiar or typical diseases. Such a process of problem solving is called recognition-primed decision making (RPDM) [ 41 , 42 ]. It is a process of finding appropriate solutions to ill-structured problems in a limited timeframe [ 10 ]. In RPDM, expert physicians are aware of what actions should be taken when faced with particular situations based on hundreds of prior experiences [ 10 ]. These prior experiences are called illness scripts in diagnostic medicine [ 10 ], and this is a concept similar to a mental model or schema in problem solving.

However, expert physicians do not always use inductive reasoning in their clinical reasoning. Jonassen [ 10 ] categorized RPDM into three forms of variations in problem solving by experts, and the first form of variation is the simplest and easiest one based on inductive reasoning, as mentioned above. The second type of variation occurs when an encountered problem is somewhat atypical [ 10 ]. Even expert physicians are not always faced with familiar or typical diseases when treating patients. Expert physicians’ RPDM does not work automatically when faced with atypical symptoms, because they do not have sufficient experiences relevant to the atypical symptoms. In this case, it can be said that they have weak illness scripts or mental models of the given symptoms. In the second variation, experts need more information and will attempt to connect it to their prior knowledge and experiences [ 10 ]. Deductive reasoning is involved in this process so that problem solvers can test their hypotheses in order to find new patterns and construct new mental models based on the newly collected data and previous experiences. The third variation of RPDM is when expert physicians have no previous experience or prior knowledge of given problem situations; in other words, no illness script or mental model [ 10 ]. Jonassen [ 10 ] argued that a mental simulation is conducted to predict the consequences of various actions by experts in the third variation. This process inevitably involves repetitive deductive reasoning to test a larger number of hypotheses when making a diagnosis.

Similarly, from the perspective of dual process theory as a decision-making process, decision making is classified into two approaches based on the reasoning style: type 1 and type 2 (or system 1 and system 2) [ 43 , 44 ]. According to Croskerry [ 44 ], the type 1 decision-making process is intuitive and based on experiential-inductive reasoning, while type 2 is an analytical and hypothetico-deductive decision-making process [ 44 , 45 ]. A feature that distinguishes the two processes is whether a physician who encounters a patient’s symptoms succeeds in pattern recognition. If a physician recognizes prominent features of the visual presentation of illness, type 1 processes (or system 1) are operated automatically, whereas type 2 (or system 2) processes work if any distinct feature of illness presentation is not recognized [ 44 ].

Only experienced expert physicians can use RPDM [ 10 , 46 ] or type 1 and 2 processes [ 43 ], because it can occur solely based on various experiences and a wide range of prior knowledge that can be gained as a result of a huge amount of deductive reasoning since they were novices. Consequently, it can be concluded that expert physicians generally use more inductive reasoning when they automatically recognize key patterns of given problems or symptoms, while sometimes they also use deductive reasoning when they additionally need processes of hypothesis testing to recognize new patterns of symptoms.

From the perspective of cognitive processes, clinical reasoning is considered as one of the decision-making processes that finds the best solutions to patients’ illnesses. As a form of decision making for problem solving, two reasoning processes have been considered: inductive and deductive reasoning. Deductive reasoning can be used to make a diagnosis if physicians have insufficient knowledge, sufficient time, and the ability to analyze the current status of their patients. However, in reality, it is inefficient to conduct thorough deductive reasoning at each stage of clinical reasoning because only a limited amount of time is allowed for both physicians and patients to reach a conclusion in most cases. A few researchers have suggested that using deductive reasoning is more likely to result in diagnostic errors than inductive reasoning, because evidence-based research, such as deductive reasoning, focuses mainly on available and observable evidence and rules out the possibility of any other possible factors influencing the patient’s symptoms [ 37 , 38 ]. However, when a physician encounters unfamiliar symptom and the degree of uncertainty is high, deductive reasoning is required to reach the correct diagnosis through analytical and slow diagnostic processes by collecting data from resources [ 44 ]. Taken together, in order to make the most of a limited timeframe and reduce diagnostic errors, physicians should be encouraged to use inductive reasoning in their clinical reasoning as far as possible given that patterns of illness presentation are recognized.

Unfortunately, it is not always easy for novice physicians to apply inductive or deductive reasoning in all cases. Expert physicians have sufficient capabilities to use both inductive and deductive reasoning and can also automate their clinical reasoning based on inductive reasoning, because they have already gathered the wide range of experiences and knowledge required to diagnose various symptoms. Novice physicians should make a greater effort to use inductive reasoning when making diagnoses; however, it takes experiencing countless deductive reasoning processes to structure various illness scripts or strong mental models until they reach a professional level. As a result, teaching not only clinical reasoning as a whole process but also the critical thinking skills required for clinical reasoning is important in medical schools [ 47 ]. For this, medical schools should pursue problem-based learning by providing students with various opportunities to gain content knowledge as well as develop the critical thinking skills —such as data analysis skills, metacognitive skills, causal reasoning, systems thinking, and so forth—required for problem solving in a holistic manner so that they can improve their reasoning skills and freely use both inductive and deductive approaches in any context. Further studies will be reviewed to provide detailed guidelines or teaching tips on how to develop medical students’ critical thinking skills.

Acknowledgments

Conflicts of interest

No potential conflict of interest relevant to this article was reported.

Author contributions

All work was done by HS.

Middle Way Society

An ethical approach to a better life, by integrating desires and avoiding dogmatic extremes, critical thinking 2: induction and deduction.

There was a great response to my first post in this series, so thanks to everyone who contributed to that. For my second one I’ve decided to tackle an issue that’s quite crucial to how Critical Thinking relates to the Middle Way.

There are two types of argument, normally known as induction and deduction. Deductive argument is what is classically formulated as argument and abstracted into logic. Deductive argument begins with assumed claims known as premises, and draws a conclusion from those premises. Within the terms of interpretation and the beliefs it assumes, the logical link between the premises and conclusion in deductive argument is absolute. If the premises are correct, then the conclusion must be correct if the reasoning is valid (i.e. follows the laws of logic).

For example:

All engineers are human beings.

So John must be a human being.

This valid argument must be correct if John is indeed an engineer, and if indeed all engineers are human beings. But I might have false information about John, and robotic engineers may be under development right now in Japanese laboratories. My assumptions may be false, but if they happen to be true then the conclusion must also be true.

That’s what we’re traditionally told about deductive argument. However, if you take into account embodied meaning, then we are all also going to have slightly different meanings for ‘John’, ‘engineer’, ‘human being’ etc. experienced in different bodies. It’s only if we further assume that these meanings are sufficiently shared and stable that a deductive argument can be ‘valid’ in this way.

The other type of argument, however, is far more common and far more useful. Inductive argument is imperfect argument that begins with limited information and draws further conclusions from it. Sometimes such reasoning can sometimes be grossly over-stated and prejudiced. For example:

My neighbour was burgled by a man from Norfolk.

Norfolk people are all criminals.

This is a crude example of prejudiced reasoning. It takes just one example and draws a conclusion about a whole class of people that are extremely varied. It’s obviously not taking into account all the reasons why it might be wrong.

However, inductive reasoning is what we rely upon constantly. If we take into account its limitations it can be a justified way of reasoning. For example:

Tom has failed to fulfil his promises to his mother on ten successive occasions within a month.

His mother should not place any further reliance on Tom’s promises.

It’s still possible that Tom is trustworthy, and has just had ten unfortunate sets of events that stopped him fulfilling his promises, or that he was at fault in the past but has now completely reformed. However, it’s unlikely. We are usually obliged to trust the weight of our experience in cases like this. We could have confidence in the conclusion here as long as we also took into account the possibility that we could be wrong.

So, my argument here is that deductive argument, though perfect in theory, is not really different from inductive in the way we should treat it in practice. Deductive logic, though it may be perfect in the abstract, is in practice dependent both on the assumptions made and on the interpretation of the words of the argument to be applied in our lives. In practice, then deductive reasoning is just as fallible as inductive. If we use inductive reasoning with awareness of its limitations, though, it can provide us with justified beliefs. This kind of reasoning is justified because of its fallibility, not in spite of it.

How well justified are the following (inductive or deductive) arguments?

1. The no. 37 bus that I take to work has been more than ten minutes late on three successive days. This is an unacceptable standard of punctuality, and it has made me late for work. I shall write to the bus company to complain.

2. If the UK economy continues to grow at the rate it managed during the last quarter of 2013 (a rate unmatched since the crash of 2008) then we can conclude that economic recovery is well under way.

3. Romanians in the UK are arrested at seven times the rate of Britons ( Daily Mail ), so if more Romanians come to the UK we can expect an increase in crime.

4. If God exists and God is good, he would not allow people to suffer without making the truth available to them. So he must have sent divinely-inspired prophets to guide people.

5. I’ve been practising this difficult piano piece for two months now, but I seem to be making no progress. I keep making the same mistakes. I should give up this piece and learn something else.

Picture: Engineer at work by Angelsman (Wikimedia Commons)

5 thoughts on “ Critical Thinking 2: Induction and deduction ”

I have made an attempt to answer the questions. 1. An inductive argument, not well justified. 2. Also inductive reasoning, probably justified. 3. Deductive logic (an absolute claim) not well justified. No matter what theorythe Daily Mail supports 4. Also deductive and not well jusified. 5. Inductive argument which is not well jsutified, hard peices take longer to learn. I’ll post this now, but will have another think about my answers.

I’m going to rate the justification of each argument from 0 (not justified at all) to 10 (as justifiable as is possible).

1. Rate = 4. This seems fairly justified, but three times in a row does not seem excessive and might not indicate a systemic problem with the bus company. It is quite probable that three separate and unavoidable random events took place, causing the bus to be late each time.

2. Rate = 6. I found this difficult. The argument only states that the economy continues to grow, but not for how long. It also says that the recovery is well under way, rather than just under way. Either way, since it has not grown as much since 2008, if it continues to then it is reasonable to claim that a recovery is well under way.

3. Rate = 4. This one is challenging. It does not take into account the possibility of discrimination by the police, or the fact that Romanians might not be as good as evading arrest. However, I can understand how – presented as it is – this conclusion can be reached.

4. Rate = 1. This one scores low because the conclusion seems quite wild – it assumes that revelation of the truth can only be achieved by God, via prophets.

5. Rate = 3. It would be reasonable to wish to give up but making the same mistake for two months does not mean that you will continue to make this mistake, and the best way to enable oneself to overcome this difficulty is to practice.

🙁 I feel a bit upset that I have given my highest score to the daily mail example, but I suppose this is an emotional, rather than logical response.

Hi Robert, 1. Using Rich’s 1-10 ratings I would say this is fairly justified: Rating 6 out of 10. There are arguably more mitigating circumstance for a bus to be late than say a train, such as heavy early morning traffic, passengers searching for change while paying etc. One should also take into account to what degree the bus service guarantees punctuality. However, given the fact that the person uses the present simple tense to express habitual action (the bus I take to work), I feel one can make the reasonable assumption that the person normally relies on this service rather than other forms of transport to get them to work on time and that reliability has to be backed up by a certain degree of confidence (presumably base on experience) in the punctuality of the service, otherwise they would choose another mode of transport. My degree of justification in this example has also been influenced by the fairly punctual timetable that buses operate to in my neck of the woods.

2. I found this a difficult one as I don’t have a good grasp of economics and to what degree of confidence one can have in an upward economic trend continuing and for what period. You’ve mentioned that Nicholas Taleb in his book “Antifragile” suggests that , economists and market analysts often put far too much faith in their economic predictions that don’t take sufficient account of the complexity of market forces and other unpredictable influencing factors . Also, why should it be a given that the UK will remain one of the top world economies, especially if you take into account the rise of economies such as India, Brazil, Russia etc. So I think I’ll giving this a rating of 4.

3. At first glance this argument appears strong in a deductive sense. However, one would need to question what these Romanians were arrested for eg. maybe for being illegal immigrants? – which now would be no longer the case, given the new EU Law. Also, what size of control group did they use, 7 people out of 10, or 70,000 out of 100,000 and where did they take that control group from and what deciding factors did they use? Arguably, in any argument as well, one needs to take into account to some extent not just what is being judged, but also the judger. Does the Daily Mail place great importance in providing their readers with a balanced view when putting forward an argument? Would the Daily Mail possibly have a vested interest in wanting their readers to feel that 70% of Romanians living this country are criminals? Is this me employing an Ad Hominim argument though? Rating 2 out of 10

4. Another example of a seductive deductive argument, if the premises are true then the conclusion must be true. However, I think what’s important is how well the premises stand up. It’s a bit like saying, If all polar bears could play the piano, and were classically trained then at some stage in the training they would most likely learn “Fur Elise” by Beethoven. I think I can say with a strong degree of justification that there is no way of knowing whether God exists or not (given that concept is not subject to experience), so any hypothesizing about it is arguably irrelevant (unless one is playing safe of course). Rating 0 out of 10

5. I feel this is fairly well justified and give it a rating of 7 out of 10. Admittedly, the piano player could conceivably be giving up too early as Norma and Rich point out . However, given the fact that they are attempting a difficult piece (‘difficult’ is also relative of course), one could make the reasonable assumption that they are fairly proficient and would not have reached that degree of proficiency without plenty of practice and some experience of when to accept that some pieces at their stage of learning are too challenging (and therefore potentially demotivating) for them. I feel it is quite reasonable to assume that they have reached that point here and are making a pragmatic decision to move on.

‘I feel a bit upset that I have given my highest score to the daily mail example, but I suppose this is an emotional, rather than logical response’

Interestingly, this is a false statement. I believed it at the time of writing my last post (above), but having read my answer again I can see that I gave a rating of 6 to the economy argument and only 4 to the daily mail argument. It is amazing how quickly a false memory can occur. Giving a 4 to the daily mail argument was enough to disturb me into this error!!

Whether the arguments are inductive or deductive is rather less open to argument here than how well justified they are! Part of the point of the exercise, though, is to think about the different ways that inductive and deductive arguments are justified. These are my answers:

1. This is an inductive argument, generalising from three occasions. If you compare it with generalisation from three examples elsewhere, it becomes clearer how weak this is. For example, if I went to a business conference and met three Russian businessmen, and concluded from this experience that all Russians were businessmen. I think this argument is weaker than Rich or Barry are recognising.

2. This is a deductive argument. It is entirely hypothetical, stating that *if* one thing is the case then the other must be. The two things are “the economy continues to grow at the same rate it managed in the last quarter of 2013” and “economic recovery is well under way”. This seems to me obviously the case. No assumptions are being made about whether the recovery will continue – the hypothetical event is just being re-described. This can be seen as a valid deductive argument, regardless of whether you know anything about economics, and regardless of whether you agree with the hypothesis.

3. You could interpret this either inductively or deductively. Inductively, it would be arguing from a higher rate of arrests amongst Romanians already in the UK to an overall increase in crime if further Romanians arrive in future. If you take it this way it is weak, because the new Romanians might be quite different from the current Romanians. The rate of arrests amongst current Romanians compared to the rest of the population also tells you nothing about how many arrests have been made (there might be a very small number), so even if it was true (as no doubt many Daily Mail readers assume) that Romanians in general are 7 times more inclined to criminality than average, the impact on crime rates in general might still be negligible because the number of Romanians is very small when compared to the numbers in the general population.

If you take this as a deductive argument, it’s even worse. It certainly doesn’t follow from the arrest rates of current Romanians that there will necessarily be an increase in crime of future Romanians.

4. This is a deductive argument that seems entirely valid. As Barry points out, however, it’s only of any relevance if you accept the assumptions it begins with.

5. This is inductive. I was interested in the variety of responses this got, as this is a real dilemma that I have encountered as an amateur pianist! How strong it is depends on other assumptions, I think, such as how much you really want to learn the piece, particularly when compared to others that you could more realistically learn. In general (on the basis of individual experience) I’m inclined to agree with Barry that it’s quite a strong argument (though not overwhelmingly so). If I’ve made little progress with a piece in two months then I may be ‘flogging a dead horse’ to continue.

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Inductive reasoning: conclusion merely likely Inductive reasoning begins with observations that are specific and limited in scope, and proceeds to a generalized conclusion that is likely, but not certain, in light of accumulated evidence. You could say that inductive reasoning moves from the specific to the general. Much scientific research is carried out by the inductive method: gathering evidence, seeking patterns, and forming a hypothesis or theory to explain what is seen.

Conclusions reached by the inductive method are not logical necessities; no amount of inductive evidence guarantees the conclusion. This is because there is no way to know that all the possible evidence has been gathered, and that there exists no further bit of unobserved evidence that might invalidate my hypothesis. Thus, while the newspapers might report the conclusions of scientific research as absolutes, scientific literature itself uses more cautious language, the language of inductively reached, probable conclusions:

What we have seen is the ability of these cells to feed the blood vessels of tumors and to heal the blood vessels surrounding wounds. The findings suggest that these adult stem cells may be an ideal source of cells for clinical therapy. For example, we can envision the use of these stem cells for therapies against cancer tumors [...].

Because inductive conclusions are not logical necessities, inductive arguments are not simply true. Rather, they are cogent: that is, the evidence seems complete, relevant, and generally convincing, and the conclusion is therefore probably true. Nor are inductive arguments simply false; rather, they are  not cogent .

It is an important difference from deductive reasoning that, while inductive reasoning cannot yield an absolutely certain conclusion, it can actually increase human knowledge (it is  ampliative ). It can make predictions about future events or as-yet unobserved phenomena.

For example, Albert Einstein observed the movement of a pocket compass when he was five years old and became fascinated with the idea that something invisible in the space around the compass needle was causing it to move. This observation, combined with additional observations (of moving trains, for example) and the results of logical and mathematical tools (deduction), resulted in a rule that fit his observations and could predict events that were as yet unobserved.

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Methodology

Inductive Reasoning | Types, Examples, Explanation

Published on January 12, 2022 by Pritha Bhandari . Revised on June 22, 2023.

Inductive reasoning is a method of drawing conclusions by going from the specific to the general. It’s usually contrasted with deductive reasoning , where you go from general information to specific conclusions.

Inductive reasoning is also called inductive logic or bottom-up reasoning.

Note Inductive reasoning is often confused with deductive reasoning. However, in deductive reasoning, you make inferences by going from general premises to specific conclusions.

Table of contents

What is inductive reasoning, inductive reasoning in research, types of inductive reasoning, inductive generalization, statistical generalization, causal reasoning, sign reasoning, analogical reasoning, inductive vs. deductive reasoning, other interesting articles, frequently asked questions about inductive reasoning.

Inductive reasoning is a logical approach to making inferences, or conclusions. People often use inductive reasoning informally in everyday situations.

Inductive Reasoning

You may have come across inductive logic examples that come in a set of three statements. These start with one specific observation, add a general pattern, and end with a conclusion.

Examples: Inductive reasoning
Stage Example 1 Example 2
Specific observation Nala is an orange cat and she purrs loudly. Baby Jack said his first word at the age of 12 months.
Pattern recognition Every orange cat I’ve met purrs loudly. All babies say their first word at the age of 12 months.
General conclusion All orange cats purr loudly. All babies say their first word at the age of 12 months.

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what is deductive reasoning in critical thinking

In inductive research, you start by making observations or gathering data. Then , you take a broad view of your data and search for patterns. Finally, you make general conclusions that you might incorporate into theories.

You distribute a survey to pet owners. You ask about the type of animal they have and any behavioral changes they’ve noticed in their pets since they started working from home. These data make up your observations.

To analyze your data, you create a procedure to categorize the survey responses so you can pick up on repeated themes. You notice a pattern : most pets became more needy and clingy or agitated and aggressive.

Inductive reasoning is commonly linked to qualitative research , but both quantitative and qualitative research use a mix of different types of reasoning.

There are many different types of inductive reasoning that people use formally or informally, so we’ll cover just a few in this article:

Inductive reasoning generalizations can vary from weak to strong, depending on the number and quality of observations and arguments used.

Inductive generalizations use observations about a sample to come to a conclusion about the population it came from.

Inductive generalizations are also called induction by enumeration.

  • The flamingos here are all pink.
  • All flamingos I’ve ever seen are pink.
  • All flamingos must be pink.

Inductive generalizations are evaluated using several criteria:

  • Large sample: Your sample should be large for a solid set of observations.
  • Random sampling: Probability sampling methods let you generalize your findings.
  • Variety: Your observations should be externally valid .
  • Counterevidence: Any observations that refute yours falsify your generalization.

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Statistical generalizations use specific numbers to make statements about populations, while non-statistical generalizations aren’t as specific.

These generalizations are a subtype of inductive generalizations, and they’re also called statistical syllogisms.

Here’s an example of a statistical generalization contrasted with a non-statistical generalization.

Example: Statistical vs. non-statistical generalization
Specific observation 73% of students from a sample in a local university prefer hybrid learning environments. Most students from a sample in a local university prefer hybrid learning environments.
Inductive generalization 73% of all students in the university prefer hybrid learning environments. Most students in the university prefer hybrid learning environments.

Causal reasoning means making cause-and-effect links between different things.

A causal reasoning statement often follows a standard setup:

  • You start with a premise about a correlation (two events that co-occur).
  • You put forward the specific direction of causality or refute any other direction.
  • You conclude with a causal statement about the relationship between two things.
  • All of my white clothes turn pink when I put a red cloth in the washing machine with them.
  • My white clothes don’t turn pink when I wash them on their own.
  • Putting colorful clothes with light colors causes the colors to run and stain the light-colored clothes.

Good causal inferences meet a couple of criteria:

  • Direction: The direction of causality should be clear and unambiguous based on your observations.
  • Strength: There’s ideally a strong relationship between the cause and the effect.

Sign reasoning involves making correlational connections between different things.

Using inductive reasoning, you infer a purely correlational relationship where nothing causes the other thing to occur. Instead, one event may act as a “sign” that another event will occur or is currently occurring.

  • Every time Punxsutawney Phil casts a shadow on Groundhog Day, winter lasts six more weeks.
  • Punxsutawney Phil doesn’t cause winter to be extended six more weeks.
  • His shadow is a sign that we’ll have six more weeks of wintery weather.

It’s best to be careful when making correlational links between variables . Build your argument on strong evidence, and eliminate any confounding variables , or you may be on shaky ground.

Analogical reasoning means drawing conclusions about something based on its similarities to another thing. You first link two things together and then conclude that some attribute of one thing must also hold true for the other thing.

Analogical reasoning can be literal (closely similar) or figurative (abstract), but you’ll have a much stronger case when you use a literal comparison.

Analogical reasoning is also called comparison reasoning.

  • Humans and laboratory rats are extremely similar biologically, sharing over 90% of their DNA.
  • Lab rats show promising results when treated with a new drug for managing Parkinson’s disease.
  • Therefore, humans will also show promising results when treated with the drug.

Inductive reasoning is a bottom-up approach, while deductive reasoning is top-down.

In deductive reasoning, you make inferences by going from general premises to specific conclusions. You start with a theory, and you might develop a hypothesis that you test empirically. You collect data from many observations and use a statistical test to come to a conclusion about your hypothesis.

Inductive research is usually exploratory in nature, because your generalizations help you develop theories. In contrast, deductive research is generally confirmatory.

Sometimes, both inductive and deductive approaches are combined within a single research study.

Inductive reasoning approach

You begin by using qualitative methods to explore the research topic, taking an inductive reasoning approach. You collect observations by interviewing workers on the subject and analyze the data to spot any patterns. Then, you develop a theory to test in a follow-up study.

Deductive reasoning approach

If you want to know more about statistics , methodology , or research bias , make sure to check out some of our other articles with explanations and examples.

  • Chi square goodness of fit test
  • Degrees of freedom
  • Null hypothesis
  • Discourse analysis
  • Control groups
  • Mixed methods research
  • Non-probability sampling
  • Quantitative research
  • Inclusion and exclusion criteria

Research bias

  • Rosenthal effect
  • Implicit bias
  • Cognitive bias
  • Selection bias
  • Negativity bias
  • Status quo bias

Inductive reasoning is a method of drawing conclusions by going from the specific to the general. It’s usually contrasted with deductive reasoning, where you proceed from general information to specific conclusions.

In inductive research , you start by making observations or gathering data. Then, you take a broad scan of your data and search for patterns. Finally, you make general conclusions that you might incorporate into theories.

Inductive reasoning takes you from the specific to the general, while in deductive reasoning, you make inferences by going from general premises to specific conclusions.

There are many different types of inductive reasoning that people use formally or informally.

Here are a few common types:

  • Inductive generalization : You use observations about a sample to come to a conclusion about the population it came from.
  • Statistical generalization: You use specific numbers about samples to make statements about populations.
  • Causal reasoning: You make cause-and-effect links between different things.
  • Sign reasoning: You make a conclusion about a correlational relationship between different things.
  • Analogical reasoning: You make a conclusion about something based on its similarities to something else.

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Mastering Reasoning: How to Develop Reasoning Skills for Critical Thinking in Reasoning

Learn how to develop reasoning skills for critical thinking through practical tips and strategies. Enhance your analytical abilities and make better decisions.

  • Aug 19, 2024

Critical thinking and reasoning skills are essential in today’s fast-paced world. Whether you are a student, a professional, or just someone who wants to make better decisions, honing your reasoning abilities can significantly improve your thinking process. This article explores how to develop reasoning skills for critical thinking, presenting practical tips and strategies to enhance your analytical capabilities.

Understanding Reasoning Skills

Before delving into developing these skills, it’s crucial to understand what reasoning entails. Reasoning involves the ability to analyze information, evaluate different perspectives, and make logical connections between ideas. It encompasses inductive reasoning, deductive reasoning, and abductive reasoning:

  • Inductive Reasoning: Making generalizations based on specific observations.
  • Deductive Reasoning: Drawing specific conclusions from general principles or premises.
  • Abductive Reasoning: Formulating the most likely explanation based on available evidence.

The Importance of Reasoning Skills

Developing reasoning skills is pivotal for several reasons:

  • Improved Decision-Making: Enhanced reasoning helps in making informed and rational decisions.
  • Problem-Solving: Facilitates effective problem-solving by enabling structured analysis of issues.
  • Effective Communication: Strengthens the ability to articulate thoughts logically and persuasively.
  • Academic and Professional Success: Contributes to better academic performance and professional competence.

Strategies to Develop Reasoning Skills

1. foster a curious mindset.

Curiosity is the foundation of critical thinking. Cultivate a keen interest in learning new things by asking questions, seeking out new information, and exploring different viewpoints. Embrace a mindset of continuous learning and intellectual curiosity.

2. Engage in Reflective Thinking

Reflective thinking involves analyzing your own thoughts and beliefs. Take time to reflect on your conclusions, question your assumptions, and consider alternative perspectives. This self-examination helps in recognizing biases and thinking more objectively.

3. Practice Active Listening

Active listening is essential for understanding different viewpoints and gathering relevant information. Focus on fully understanding what others are saying, ask clarifying questions, and avoid premature judgments. This skill significantly contributes to better reasoning.

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  • Cardi B Urges Americans to Stop Making Fun of Vybz Kartel's Look After His Prison Release
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4. Study Logical Fallacies

Logical fallacies are errors in reasoning that undermine the logic of an argument. Familiarize yourself with common fallacies such as ad hominem, straw man, and appeal to authority. Recognizing these fallacies helps in evaluating arguments more critically.

5. Reading and Writing Regularly

Engage in regular reading and writing activities. Reading diverse materials exposes you to different ideas and trains your mind to understand complex arguments. Writing, on the other hand, helps in organizing your thoughts and articulating them clearly.

6. Solve Puzzles and Brain Teasers

Puzzles and brain teasers are excellent tools for sharpening your reasoning skills. They challenge your brain to find solutions through logical thinking. Engage in activities like crosswords, Sudoku, and other problem-solving games to enhance your analytical skills.

7. Interact with Diverse Groups

Interacting with people from different backgrounds and perspectives broadens your understanding and enhances your reasoning abilities. Engage in discussions, debates, and group activities to expose yourself to varying viewpoints and ideas.

8. Take Reasoning and Logic Courses

Enrolling in courses focused on logic, philosophy, or critical thinking can significantly improve your reasoning skills. These courses provide structured learning and practical exercises that help in mastering complex reasoning tasks.

Tools and Resources

To further develop reasoning skills for critical thinking, utilize the following tools and resources:

  • Books: "Critical Thinking" by Richard Paul and Linda Elder, "Thinking, Fast and Slow" by Daniel Kahneman
  • Online Courses: Coursera, edX, Khan Academy
  • Software: Brain training apps like Lumosity, Peak, and Elevate
  • Communities: Join forums and groups focused on critical thinking and reasoning.

Developing reasoning skills for critical thinking is a rewarding pursuit that can greatly enhance your intellectual capabilities and decision-making process. By fostering a curious mindset, engaging in reflective thinking, practicing active listening, and utilizing various strategies and resources, you can significantly improve your reasoning skills. These skills will not only aid in your personal and professional growth but also empower you to navigate the complexities of the modern world with confidence and clarity.

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COMMENTS

  1. What Is Deductive Reasoning?

    Deductive reasoning is commonly used in scientific research, and it's especially associated with quantitative research. In research, you might have come across something called the hypothetico-deductive method. It's the scientific method of testing hypotheses to check whether your predictions are substantiated by real-world data.

  2. Guide To Inductive & Deductive Reasoning

    In fact, inductive reasoning usually comes much more naturally to us than deductive reasoning. Inductive reasoning moves from specific details and observations (typically of nature) to the more general underlying principles or process that explains them (e.g., Newton's Law of Gravity). It is open-ended and exploratory, especially at the beginning.

  3. What Is Deductive Reasoning? Learn the Definition of Deductive

    There's nothing better than deductive reasoning to win an argument or test a belief. But, while this type of logical argument produces rock-solid conclusions, not everyone can use it with certainty. Deductive arguments have to meet strict conditions. Knowing the ins and outs of deductive reasoning, and how to spot an invalid form of deduction, is a good way to sharpen your critical thinking ...

  4. Deduction

    Deductive reasoning starts with the assertion of a general rule and proceeds from there to a guaranteed specific conclusion. Deductive reasoning moves from the general rule to the specific application: In deductive reasoning, if the original assertions are true, then the conclusion must also be true. For example, math is deductive: In this ...

  5. Critical Thinking

    Although critical thinking is widely regarded as a type of informal reasoning, it nevertheless makes substantial use of formal reasoning strategies. Formal reasoning is deductive , which means an arguer intends to infer or derive a proposition from one or more propositions on the basis of the form or structure exhibited by the premises.

  6. 3.3: Inductive and Deductive Reasoning

    Deductive reasoning, on the other hand, begins with a general premise or principle and derives specific conclusions from it. It is also known as formal logic. This method is more rigid and structured, ensuring that if the premises are true, the conclusion must also be true. ... In critical thinking, both inductive and deductive reasoning are ...

  7. CRITICAL THINKING

    In this Wireless Philosophy video, Geoff Pynn (Northern Illinois) follows up on his introduction to critical thinking by exploring how deductive arguments gi...

  8. Deductive Reasoning: Explanation and Examples

    I. Definition Deductive reasoning, or deduction, is one of the two basic types of logical inference. A logical inference is a connection from a first statement (a "premise") to a second statement ("the conclusion") for which the rules of logic show that if the first statement is true, the second statement should be true. Specifically, deductions are inferences which must be true—at ...

  9. Inductive vs Deductive Reasoning

    The main difference between inductive and deductive reasoning is that inductive reasoning aims at developing a theory while deductive reasoning aims at testing an existing theory. Inductive reasoning moves from specific observations to broad generalisations, and deductive reasoning the other way around. Both approaches are used in various types ...

  10. Inductive VS Deductive Reasoning

    Deductive reasoning gives you a certain and conclusive answer to your original question or theory. A deductive argument is only valid if the premises are true. And the arguments are sound when the conclusion, following those valid arguments, is true. To me, this sounds a bit more like the scientific method.

  11. What Is Deductive Reasoning? + Examples

    Deductive reasoning is a great tool for critical thinking, but it's also prone to several common mistakes. Here are a few and how to avoid them: ... Final thoughts on deductive reasoning: a tool for critical thinking. As you can see, deductive reasoning is a valuable tool for critical thinking. It helps you make smart decisions based on true ...

  12. Think Again II: How to Reason Deductively

    Welcome to the Course. Module 1 • 14 minutes to complete. Welcome to Think Again: How to Reason Deductively! This course is the second in the specialization Introduction to Logic and Critical Thinking, based on our original Coursera course titled Think Again: How to Reason and Argue. We are excited that you are taking this course, and we hope ...

  13. Deductive, Inductive and Abductive Reasoning

    Reasoning is the process of using existing knowledge to draw conclusions, make predictions, or construct explanations. Three methods of reasoning are the deductive, inductive, and abductive approaches. Deductive reasoning starts with the assertion of a general rule and proceeds from there to a guaranteed specific conclusion.

  14. Deductive Reasoning: What It Is, Why It's Important, and Examples

    Deductive reasoning, also referred to as deductive logic or top-down thinking, is a type of logical thinking that's used in various industries and is often sought after by employers in new talent. The following is a formula often used in deduction: If A = B and B = C, then in most cases A = C. So, for example, if traffic gets bad starting at ...

  15. Inductive vs. Deductive Research Approach

    Revised on June 22, 2023. The main difference between inductive and deductive reasoning is that inductive reasoning aims at developing a theory while deductive reasoning aims at testing an existing theory. In other words, inductive reasoning moves from specific observations to broad generalizations. Deductive reasoning works the other way around.

  16. What is Deductive Reasoning? Definition and Examples

    Syllogism. Syllogism is probably the most simple of the 3 types of deductive reasoning. In simplest terms syllogism states that if A=B and B=C, then A=C. It takes two separate clauses and connects them together. A more creative example would be: a puma is a cat, cats are mammals, therefore pumas are mammals. Modus Ponens.

  17. Deductive Reasoning: What Is It?

    Deductive reasoning starts with a general idea and reaches a specific conclusion. Learn more about deductive reasoning and its value in the workplace. ... Deductive reasoning is a form of logical thinking that's widely applied in many different industries and valued by employers. It relies on a general statement or hypothesis—sometimes called ...

  18. Reasoning processes in clinical reasoning: from the perspective of

    This paper reviews the reasoning processes involved in clinical reasoning from the perspective of cognitive psychology. To properly use clinical reasoning, one requires not only domain knowledge but also structural knowledge, such as critical thinking skills. In this paper, two types of reasoning process required for critical thinking are ...

  19. Critical Thinking 2: Induction and deduction

    There are two types of argument, normally known as induction and deduction. Deductive argument is what is classically formulated as argument and abstracted into logic. Deductive argument begins with assumed claims known as premises, and draws a conclusion from those premises. Within the terms of interpretation and the beliefs it assumes, the ...

  20. Inductive Reasoning: Definition, Examples, & Methods

    Critical thinking: Inductive reasoning requires you to analyze evidence, identify weaknesses, and consider alternative explanations. ... As they mature, they develop deductive reasoning, allowing them to apply established principles to specific situations. However, the ability to balance both forms of reasoning remains crucial throughout life. ...

  21. Induction

    Inductive reasoning begins with observations that are specific and limited in scope, and proceeds to a generalized conclusion that is likely, but not certain, in light of accumulated evidence. You could say that inductive reasoning moves from the specific to the general. Much scientific research is carried out by the inductive method: gathering ...

  22. Inductive Reasoning

    Inductive vs. deductive reasoning. Inductive reasoning is a bottom-up approach, while deductive reasoning is top-down. In deductive reasoning, you make inferences by going from general premises to specific conclusions. You start with a theory, and you might develop a hypothesis that you test empirically. You collect data from many observations ...

  23. Mastering Reasoning: How to Develop Reasoning Skills for Critical

    Critical thinking and reasoning skills are essential in today's fast-paced world. Whether you are a student, a professional, or just someone who wants to make better decisions, honing your ...

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