Reasoning Flashcards
Logic
Enables judgement of how good someones reasoning is
Allows identification of the properties of an argument and allows analysis
2 Components of an Argument
- Info that provides the argument: premise
2. Statement following premise: conclusion
Conditional Reasoning
If (antecedent)
Then (Consequent)
Conclusion
If conclusion follows logically from premise then the proposition is logical
Types of Inference
2 logically valid 1. Modus Pollens: affirms 'if' 2. Modus Tollens: denies 'then' 2 logically invalid: 1. Denial of antecedent: denies 'if' 2. Affirmation of consequent: affirms 'if'
Mental Rules Theory (Rips, 1994)
The mind has built-in rules and logic representations in a language-like way
1. Represent underlying logical forms of argument
2. Access appropriate rules
3. Evaluate argument components
Harder to do with MT argument as you have to deconstruct the MP version first
Mental Model Theory (Johnson & Laird, 1983)
Assumes: Mind has no mental rules
Model constructed to make sense of the premise
1. Comprehension of premise
2. Conclusion based on mental models
3. Search for counter-examples
Errors: occur as a failure to keep track on mental models
Testing Reasoning of 4 Inferences (Evan, Handley & Buck, 1998)
Test to see how good p’s reasoning was for the 4 inferences
Modus pollens: 98% correct
Modus tollens: 60% correct
Worse logical reasoning for MT because its hard to judge when negation is involved - longer response and have to think of alternatives
Wason Selection Task (1966)
Studies performance on conditional reasoning using 4 playing cards
2 show vowel or consonant
2 show odd or even digit
‘IF a card has a vowel on one side, THEN it was an even number on the other side’
Task: turn the two cards that will check if the rule is true
70% p’s chose wrong: E (logical) and 4 (not logical as does not permit denial of consequent (MT)
Logic would be E & 7
Why are logically valid cards not chosen very often? Confirmation Bias
P’s tend to prefer to look for evidence that confirms beliefs/theories
‘Drinking Age’ Version of WST (Evans & Over, 1996)
People are more likely to to make logical choices when the conditional proposition concerns everyday rules/events
‘IF a person is drinking beer, THEN they must be over 18’
Each card has drink on one side, age on other side
90% p’s chose correctly
Reasoning improved because of familiarity with real-world context
Wason (1965) Effect of Negation on Reasoning
P’s significantly more accurate and faster at positively worded propositions
With negation, affirmation of the consequent is incorrect reasoning
With negation, you need to think of alternatives to the premises and conclusion which takes times and cognitive resources
Problems with Reasoning
- Competence: worse at reasoning without training in logic
- Bias: we respond to non-logical features of a task
- Content: reasoning is dependent on task content and context
- Knowledge: prior experience affects logical reasoning
Rationality
Thinking consistent with logic
HOW we reason, not what conclusions we draw
Simon (1957) Bounded Rationality
We are rational beings WITH cognitive restraint, everyday reasoning gets us through day-to-day life successfully even if it violates logic
2 Types of Rationality
System 1: non logical reasoning to achieve goals and meet needs
System 2: Logical according to normative standards
-both systems distinct, but can be used together