Problem 4 - reasoning Flashcards
Deductive reasoning
- assumptions from general to specific
- conclusions can add new information
- > conclusions have deductive validity: if and only if it is impossible for the premise to be true and the conclusion to be false
Dual-systems Theory
1) heuristic system, autonomous, does not require working memory, fast, high capacity
2) analytic system, deliberative, requires working memory, slow, analytic, resource demanding, able to operate only serially
Problems dual systems theory
- boarder between different processes isn’t clear
- system 2 is not well explained
Broca’s area
-deductive reasoning
Left dorsolateral prefrontal gyrus
-inductive reasoning
Left prefrontal cortex
-integrating relations
Mental model theory -key word
-constructing different models in your mind depending on the problem
- principle of truth -> construct models concerning what is true but not what is false
- > many errors occur because of that
- constructing involves working memory
-searching for counter-examples -> if counter examples are not found, your original model seems fine
belief bias?
Limitations of mental model theory
- not a real model because it is so vague
- assumes that people try to falsify their models
syllogistic reasoning
- categorical syllogism
- 2 premises
- 1 conclusion
example:
1) all humans are mortal
2) socrates is a human
3) socrates is mortal
wason selection task
- logic puzzle for study of deductive reasoning
- 4 cards lying on table
- each card has a letter on one side and a number on the other
- participant is told that a rule applies to cards (e.g. if a card has a vowel on one side it must have an even number on the other)
- task is to select only those cards that would need to be turned over to decide whether or not the rule is followed
- > need to select a card that would fail to obey the rule
modus tollens
- TOLLWUT-> BÖSE-> nein und nein
- When we have ‘If A then B ‘ and we know B is false, A is also false
inductive reasoning
- goes from specific to general
- new information is added
- conclusions represent information that was already implicit in the premises
- inductive strength: an argument has inductive strength if it is improbable (but not impossible) for premises to be true and the conclusion false
2 kinds of deductive reasoning
- propositional reasoning
- syllogistic reasoning
propositional reasoning
- drawing conclusions from premises that are in the form of propositions (Aussagen) that are either true of false (i.e. today is Friday)
- simple propositions can be hooked together into more complicated (compound) ones by using certain logical connectives (and,not, if-then)
fallacies (2)
rules that produce conclusions that are false even if the premises are true
- > affirming the consequent
- > denying the antecedent