Thinking: Reasoning and Decisions. Flashcards
Define reasoning.
Reasoning has been defined as the process of drawing conclusions and the cognitive processes by which people start with information and come to conclusions to go beyond that information.
Cognitive psychologists often make a distinction between two different kinds of reasoning.
Much like philosophers, cognitive psychologists make a distinction between deductive and inductive reasoning.
What is deductive reasoning?
Deductive reasoning involves sequences of statements called syllogisms.
What is inductive reasoning?
Inductive reasoning is reaching conclusions from evidence. In inductive reasoning, conclusions are suggested, with varying degrees of certainty, but do not definitely follow from premises.
What is a syllogism? Give an example.
The basic form of deductive reasoning as introduced by Aristotle is called the syllogism. A syllogism includes two statements, called premises, followed by a third statement, called the conclusion.
Syllogism 1:
Premise 1: All birds are animals.
Premise 2: All animals eat food.
Conclusion: Therefore, all birds eat food.
Syllogism 1:
Premise 1: All birds are animals.
Premise 2: All animals eat food.
Conclusion: Therefore, all birds eat food.
If you were to evaluate this syllogism, what two factors would you look at?
Its validity and its truth.
What is validity in syllogisms?
A syllogism is valid when its conclusion follows logically from its two premises.
What is truth in syllogisms?
The truth of a syllogism depends on the truth of its premises. If the premises are false, the conclusion may also be false despite being logically valid.
Syllogism 3
All of the students are tired.
Some tired people are irritable.
Some of the students are irritable.
Evaluate the syllogism.
Statistically some students could be irritable, yes - because they are tired people. But they could also be not irritable because some tired people are not irritable. We just don’t know. Therefore the conclusion: “some of the students are irritable” is invalid.
The book teaches two different types of syllogisms. Which?
- Categorical syllogisms.
2. Conditional syllogisms.
What is a categorical syllogism?
A categorical syllogism is a syllogism in which the premises and the conclusion describe the relation between two categories by using statements that begin with all, no, or some.
What is a conditional syllogism?
Conditional syllogisms have two premises and a conclusion, just like categorical ones, but the first premise has the form “ if … then… “.
There are four different conditional syllogisms. Which?
- Affirming the antecedent.
- Denying the consequent.
- Affirming the consequent
- Denying the antecedent.
What is the antecedent?
The antecedent is the “if” term of the syllogism. E.g. “If i study”.
What is the consequent?
The consequent is the “then” term of the syllogism. E.g. “then I’ll get a good grade”.
If I study, then I’ll get a good grade.
I got a good grade.
Therefore, I studied.
Name the syllogism and its validity. Explain.
This is affirming the consequent because q is affirmed in the second premise (I got a good grade). The concluson of this syllogism (I studied) is invalid, because if if you didn’t study, it is still possible that you could have receieved a good grade. Perhaps the exam was easy, or maybe you knew the material because it was about your job experience.
If I study, then I’ll get a good grade.
I didn’t get a good grade.
Therefore, I didn’t study.
Name the syllogism and its validity. Explain.
This is denying the consequent because the consequent (I’ll get a good grade) is negated in the second premise (I didn’t get a good grade). The conclusion of this syllogism (I didn’t study) is valid.
If I study, then I’ll get a good grade.
I didn’t study.
Therefore, I didn’t get a good grade.
Name the syllogism and its validity. Explain.
This is denying the antecedent because p is negated in the second premise (I didn’t study). The conclusion of this syllogism (I didn’t get a good grade) is not valid. It is possible to get a good grade even though you don’t study.
If I study, then I’ll get a good grade.
I studied.
Therefore, I’ll get a good grade.
Name the syllogism and its validity. Explain.
This is affirming the antecedent because the antecedent, p (if I study), is affirmed in the second premise (I studied). The conclusion of this syllogism (I got a good grade) is valid.
Only about 40% of people correctly identify that the affirming the consequent syllogism is logically invalid. Use an example of this syllogism that clearly shows its invalidity.
If it’s a robin, then it’s a bird.
It’s a bird.
Therefore, It’s a robin.
Only about 40% of people correctly identify that the denying the antecedent syllogism is logically invalid. Use an example of this syllogism that clearly shows its invalidity.
If it’s a robin, then it’s a bird.
It’s not a robin.
Therefore, it’s not a bird.
What percentage of people correctly identify that affirming the antecedent syllogisms are valid?
About 97%.
What percentage of people correctly identify that denying the consequent syllogisms are valid?
About 60%.
Does abstraction, like using p and q, make it easier or more difficult to judge the validity of syllogisms?
Research shows that people are often better at judging the validity of syllogisms when real-world examples are substituted for abstract symbols.
A very common problem used in the research on conditional reasoning has been …
the Wason Four-Card Problem.
What is the Wason Four-Card Problem?
Four cards are shown. Each card has a letter on one side and a number on the other side. Your task is to indicate which cards you would need to turn over to test the following rule: If there is a vowel on one side, then there is an even number on the other side.
E - K - 4 - 7
How many percent of people correctly solved the Wason Four-Card Problem in the original study?
Only 7%.
Four cards are shown. Each card has a letter on one side and a number on the other side. Your task is to indicate which cards you would need to turn over to test the following rule: If there is a vowel on one side, then there is an even number on the other side.
E - K - 4 - 7
You need to turn over E and 7.
If you turn over the E and there is an odd number, the rule is falsified. If there is an even number however, the rule is not yet confirmed.
You also need to turn over 7.
If you turn over 7 and there is a vowel, the rule is falsified.
Four cards are shown. Each card has a letter on one side and a number on the other side. Your task is to indicate which cards you would need to turn over to test the following rule: If there is a vowel on one side, then there is an even number on the other side.
E - K - 4 - 7
You turn over E and the result is Even. How does this affect the rule?
It confirms it.
Four cards are shown. Each card has a letter on one side and a number on the other side. Your task is to indicate which cards you would need to turn over to test the following rule: If there is a vowel on one side, then there is an even number on the other side.
E - K - 4 - 7
You turn over E and the result is Odd. How does this affect the rule?
It falsifies it.