Published: Friday, 17 June, 2016 10:00 AM
Premises + Assumptions = Conclusions
Logical Reasoning and Critical Reasoning questions in an MBA entrance exam, invariably, have the following structure:
b. Question Stem
c. Answer Choices
Premise, Assumption and Conclusion, together form a part of a typical argument.
A premise is a stated reason or evidence that supports the conclusion. An assumption is an unstated premise that supports the conclusion. Both premise and assumption are unquestionable facts but the assumption, unlike the premise, is not explicitly stated and needs to be deciphered.A conclusion is the claim, the main point of the argument. It is the proposition that is affirmed on the basis of the other propositions of the argument. Thus, the conclusion is drawn based on the stated premise and the unstated assumptions, in other words, Premises+Assumptions= Conclusion.
After reading the argument, the first step is to identify the conclusion. It is not necessary for conclusion to come at the end of the argument, it may even precede the premise. For instance, ‘Amazon.com is the largest online bookstore with over 3,00,000 titles available. Hence, you will be able to find the book you want,’ can be written as, ‘You will find the book you want at Amazon.com. It is the largest online bookstore with over 3,00,000 titles.’ Some of the indicators through which a conclusion can be identified are, ‘therefore,’ ‘hence,’ ‘thus,’ ‘so,’ ‘accordingly,’ ‘consequently,’ ‘as a result’ and so on. Some of the indicators through which a premise can be identified are, ‘since,’ ‘because,’ ‘for,’ ‘as,’ ‘follows from’ and so on. After identifying the conclusion, identify the premises and assumptions, if any. The premises and the assumptions must provide enough evidence for the conclusion.
3. Types of questions
Critical reasoning questions can be of the following types:
-Identify the assumption
-Strengthen/Weaken the argument/conclusion
-Complete the argument
To tackle all these type of questions, the candidate must know what is a premise, assumption and conclusion because it is these three components that make up an argument.
Let’s look at the following:
-Statement- Virat has been elected as captain of the Indian cricket team, so he must be a cricketer of calibre.
Assumptions- i. Only cricketers of calibre can be members of the Indian cricket team
ii. Only cricketers of calibre can be captain of the Indian cricket team
iii. Only members of the Indian cricket team can be cricketers of calibre
In the above question, identify the assumption of the given argument. Mark the best answer out of the choices: a. i only, b. ii only, c. iii only, d. i and iii only, e. i, ii and iii
In this question, since the prerequisite of becoming captain of the Indian cricket team is to be a cricketer of calibre, so only ii is the right choice. Hence, the answer is b.
-All children are happy when they get new clothes. Therefore, Amar will be thrilled when he gets the new leather jacket.
In this argument, the premise is about children and the conclusion is about Amar. The hidden premise (or assumption) here is that Amar is a child. Without this assumption, the argument will make no sense.
Thus, in critical and logical reasoning, it is imperative that the candidate understands the three parts of the argument, which will help solve the question.
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To be skilled in critical thinking is to be able to take one’s thinking apart systematically, to analyze each part, assess it for quality and then improve it. The first step in this process is understanding the parts of thinking, or elements of reasoning.
These elements are: purpose, question, information, inference, assumption, point of view, concepts, and implications. They are present in the mind whenever we reason. To take command of our thinking, we need to formulate both our purpose and the question at issue clearly. We need to use information in our thinking that is both relevant to the question we are dealing with, and accurate. We need to make logical inferences based on sound assumptions. We need to understand our own point of view and fully consider other relevant viewpoints. We need to use concepts justifiably and follow out the implications of decisions we are considering. (For an elaboration of the Elements of Reasoning, see a Miniature Guide to the Foundations of Analytic Thinking.)
In this article we focus on two of the elements of reasoning: inferences and assumptions. Learning to distinguish inferences from assumptions is an important intellectual skill. Many confuse the two elements. Let us begin with a review of the basic meanings:
- Inference: An inference is a step of the mind, an intellectual act by which one concludes that something is true in light of something else’s being true, or seeming to be true. If you come at me with a knife in your hand, I probably would infer that you mean to do me harm. Inferences can be accurate or inaccurate, logical or illogical, justified or unjustified.
- Assumption: An assumption is something we take for granted or presuppose. Usually it is something we previously learned and do not question. It is part of our system of beliefs. We assume our beliefs to be true and use them to interpret the world about us. If we believe that it is dangerous to walk late at night in big cities and we are staying in Chicago, we will infer that it is dangerous to go for a walk late at night. We take for granted our belief that it is dangerous to walk late at night in big cities. If our belief is a sound one, our assumption is sound. If our belief is not sound, our assumption is not sound. Beliefs, and hence assumptions, can be unjustified or justified, depending upon whether we do or do not have good reasons for them. Consider this example: “I heard a scratch at the door. I got up to let the cat in.” My inference was based on the assumption (my prior belief) that only the cat makes that noise, and that he makes it only when he wants to be let in.
We humans naturally and regularly use our beliefs as assumptions and make inferences based on those assumptions. We must do so to make sense of where we are, what we are about, and what is happening. Assumptions and inferences permeate our lives precisely because we cannot act without them. We make judgments, form interpretations, and come to conclusions based on the beliefs we have formed.
If you put humans in any situation, they start to give it some meaning or other. People automatically make inferences to gain a basis for understanding and action. So quickly and automatically do we make inferences that we do not, without training, notice them as inferences. We see dark clouds and infer rain. We hear the door slam and infer that someone has arrived. We see a frowning face and infer that the person is upset. If our friend is late, we infer that she is being inconsiderate. We meet a tall guy and infer that he is good at basketball, an Asian and infer that she will be good at math. We read a book, and interpret what the various sentences and paragraphs — indeed what the whole book — is saying. We listen to what people say and make a series of inferences as to what they mean.
As we write, we make inferences as to what readers will make of what we are writing. We make inferences as to the clarity of what we are saying, what requires further explanation, what has to be exemplified or illustrated, and what does not. Many of our inferences are justified and reasonable, but some are not.
As always, an important part of critical thinking is the art of bringing what is subconscious in our thought to the level of conscious realization. This includes the recognition that our experiences are shaped by the inferences we make during those experiences. It enables us to separate our experiences into two categories: the raw data of our experience in contrast with our interpretations of those data, or the inferences we are making about them. Eventually we need to realize that the inferences we make are heavily influenced by our point of view and the assumptions we have made about people and situations. This puts us in the position of being able to broaden the scope of our outlook, to see situations from more than one point of view, and hence to become more open-minded.
Often different people make different inferences because they bring to situations different viewpoints. They see the data differently. To put it another way, they make different assumptions about what they see. For example, if two people see a man lying in a gutter, one might infer, “There’s a drunken bum.” The other might infer, “There’s a man in need of help.” These inferences are based on different assumptions about the conditions under which people end up in gutters. Moreover, these assumptions are connected to each person’s viewpoint about people. The first person assumes, “Only drunks are to be found in gutters.” The second person assumes, “People lying in the gutter are in need of help.”
The first person may have developed the point of view that people are fundamentally responsible for what happens to them and ought to be able to care for themselves. The second may have developed the point of view that the problems people have are often caused by forces and events beyond their control. The reasoning of these two people, in terms of their inferences and assumptions, could be characterized in the following way:
Situation: A man is lying in the gutter.
Situation: A man is lying in the gutter.
|Inference: That man’s a bum.||Inference: That man is in need of help.|
Assumption: Only bums lie in gutters.
Assumption: Anyone lying in the gutter is in need of help.
Critical thinkers notice the inferences they are making, the assumptions upon which they are basing those inferences, and the point of view about the world they are developing. To develop these skills, students need practice in noticing their inferences and then figuring the assumptions that lead to them.
As students become aware of the inferences they make and the assumptions that underlie those inferences, they begin to gain command over their thinking. Because all human thinking is inferential in nature, command of thinking depends on command of the inferences embedded in it and thus of the assumptions that underlie it. Consider the way in which we plan and think our way through everyday events. We think of ourselves as preparing for breakfast, eating our breakfast, getting ready for class, arriving on time, leading class discussions, grading student papers, making plans for lunch, paying bills, engaging in an intellectual discussion, and so on. We can do none of these things without interpreting our actions, giving them meanings, making inferences about what is happening.
This is to say that we must choose among a variety of possible meanings. For example, am I “relaxing” or “wasting time?” Am I being “determined” or “stubborn?” Am I “joining” a conversation or “butting in?” Is someone “laughing with me” or “laughing at me?” Am I “helping a friend” or “being taken advantage of?” Every time we interpret our actions, every time we give them a meaning, we are making one or more inferences on the basis of one or more assumptions.
As humans, we continually make assumptions about ourselves, our jobs, our mates, our students, our children, the world in general. We take some things for granted simply because we can’t question everything. Sometimes we take the wrong things for granted. For example, I run off to the store (assuming that I have enough money with me) and arrive to find that I have left my money at home. I assume that I have enough gas in the car only to find that I have run out of gas. I assume that an item marked down in price is a good buy only to find that it was marked up before it was marked down. I assume that it will not, or that it will, rain. I assume that my car will start when I turn the key and press the gas pedal. I assume that I mean well in my dealings with others.
Humans make hundreds of assumptions without knowing it---without thinking about it. Many assumptions are sound and justifiable. Many, however, are not. The question then becomes: “How can students begin to recognize the inferences they are making, the assumptions on which they are basing those inferences, and the point of view, the perspective on the world that they are forming?”
There are many ways to foster student awareness of inferences and assumptions. For one thing, all disciplined subject-matter thinking requires that students learn to make accurate assumptions about the content they are studying and become practiced in making justifiable inferences within that content. As examples: In doing math, students make mathematical inferences based on their mathematical assumptions. In doing science, they make scientific inferences based on their scientific assumptions. In constructing historical accounts, they make historical inferences based on their historical assumptions. In each case, the assumptions students make depend on their understanding of fundamental concepts and principles.
As a matter of daily practice, then, we can help students begin to notice the inferences they are making within the content we teach. We can help them identify inferences made by authors of a textbook, or of an article we give them. Once they have identified these inferences, we can ask them to figure out the assumptions that led to those inferences. When we give them routine practice in identifying inferences and assumptions, they begin to see that inferences will be illogical when the assumptions that lead to them are not justifiable. They begin to see that whenever they make an inference, there are other (perhaps more logical) inferences they could have made. They begin to see high quality inferences as coming from good reasoning.
We can also help students think about the inferences they make in daily situations, and the assumptions that lead to those inferences. As they become skilled in identifying their inferences and assumptions, they are in a better position to question the extent to which any of their assumptions is justified. They can begin to ask questions, for example, like: Am I justified in assuming that everyone eats lunch at 12:00 noon? Am I justified in assuming that it usually rains when there are black clouds in the sky? Am I justified in assuming that bumps on the head are only caused by blows?
The point is that we all make many assumptions as we go about our daily life and we ought to be able to recognize and question them. As students develop these critical intuitions, they increasingly notice their inferences and those of others. They increasingly notice what they and others are taking for granted. They increasingly notice how their point of view shapes their experiences.
This article was adapted from the book, Critical Thinking: Tools for Taking Charge of Your Learning and Your Life, by Richard Paul and Linda Elder.
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