Judgement, Decisions, and Reasoning Flashcards
What is reasoning
The process of drawing conclusions.
Cognitive process of starting with information and coming to conclusions that go beyond that information.
Deductive reasoning
Sequence of statements called syllogisms, used to reach a logical conclusion.
Inductive reasoning
Arrive at conclusions that are probably true.
Premises are based on observations and we generalise from these cases to more general conclusions with varying degrees of certainty.
Syllogism
Logical argument in which we deduce a conclusion on the basis of two other statements (premises).
Categorical and conditional syllogisms.
Categorical syllogisms
Describe a relationship using the words all, no or some.
Premise 1: all cog students are enrolled at UC
Premise 2: all students are UC have an id number
Conclusion: all cog students have an id number
Valid when the conclusion follows logically from two valid premises.
Validity
A syllogism is valid when the form of the syllogism indicates it’s conclusion follows logically from its two premises.
Not necessarily true.
Invalid syllogisms
Invalid when conclusion does not follow logically from two valid premises.
All of the students are tired. (All A are B)
Some tired people are irritable. (Some C are D)
Some of the students are irritable. (Some A are D)
Belief bias
The tendency to think a syllogism is valid if it’s conclusion is believable.
Mental model
A specific situation represented in a person’s mind that can be used to help determine the validity of syllogisms in deductive reasoning.
Mental model approach
Create a model of a situation.
Generate tentative conclusions about model.
Look for exceptions to falsify model.
Determine validity of syllogism.
Conditional syllogisms
Have 2 premises and a conclusion like categorical syllogisms, but the first premise has the form ‘If… then’.
Antecedent: the ‘if’ term (often called the ‘p’ term)
Consequent: the ‘then’ term (often called the ‘q’ term)
(See pg 391)
Syllogism 1: modus ponens
Affirming the antecedent
If I studied, I’ll get a good grade. I studied. Therefore, I’ll get a good grade. Second premise: p, conclusion: therefore, q. Valid: yes.
Syllogism 2: modus tollens
Denying the consequent
If I studied, then I’ll get a good grade.
I didn’t get a good grade.
Therefore, I didn’t study.
Second premise: not q, conclusion: therefore, not p.
Valid: yes.
Syllogism 3
Affirming the consequence
If I studied, I’ll get a good grade. I got a good grade. Therefore, I studied. Second premise: q, conclusion: therefore, p. Valid: no.
Syllogism 4
Denying the antecedent
If I studied, then I’ll get a good grade.
I didn’t study.
Therefore, I didn’t get a good grade.
Second premise: not q, conclusion: therefore, not q.
Valid: no.