deduction, induction, abduction Flashcards
deduction
to what extent is human reasoning context dependent
D: Syllogistic reasoning
o Accepting things that are known from the facts
o Premise and a conclusion
o Reliant on known-ness of the facts and the linguistic understanding of reasoners
D: Syllogisms can be
linear or categorical
D: Linear
• You are taller than john, john is taller than bill, therefore you are taller than bill
D: Categorical –
two premises with a conclusion that automatically follows
D: Categorical –• Affirmative uni
• All a are b, all b are c, all a are c
D: Categorical – • Affirmative particular
• Some a are b, some b are c, some are are c
D:Categorical – • Negative uni
• No a are b, no b are c, no a are c
D: Categorical – • Negative particular
• Some a are not b, some b are not c, some a are not c
D: Conditional reasoning: o If p then q
- P is antecedent, q is c onsequent
* If bill writes with left hand (p) then bill is left handed (q)
D:Conditional reasoning: Modus ponens (affirmation of the antecedent)
• If p then q. given q, deduce p
D:Conditional reasoning: o Modus tollens (denial of consequent)
- If p then q
- Not q
- Not p
- If charley eats a 7 course meal he will be full. Charley is not full, charley did not eat a 7 course meal
D:Wason selection test
o Cards with associated rules, performance improves when rules are relevant to context
D: Accounting for deductive reasoning
o Rips’ mental rules
• People solve D problems by constructing mental proofs
• Not following rules occurs as a result of cognitive limitations such as working memory capacity
o Johnson-laird’s mental models
• Construct a mental model based on premises in argument
• People attempt to solve problem by attempting to construct alternatives – if can’t create alternative then accept the initial
CRITIQUE: DEDUCTION
- Does not take us beyond assertion or premise – cannot learn anything new
Induction
- Continuous adjustment and updating of ones confidence in a belief
- Allows generation of assertions beyond the data to be used in reasonin
I: strong assertion
where there is good reason to accept the assertion under consideration
I: weak assertion
here there is poor or weak support (if there is no support than we should not accept the assertion)
i:main method of deriving causal relations
induction: observe many instances and so the events become paired – a causes b
i: Confirmation bias
o Belief persistence or resist belief change
o Wason’s 2 5 6 numbers
- What rule do these conform to
- Rule was just 3 ascending numbers
- People don’t suggest this, as they don’t want to disconfirm their hypothesis of three ascending even numbers
o People much more likely to ask confirmatory questions than disconfirmatory ones
Abduction
best explanatory hypothesis for a known set of facts
reverse of deduction - conclusion is accepted and then look for explanation
CRITIQUE
humans shw good reasoning and poor reasoning
intersection of uncertainty, novelty and bounded rationality