Deductive reasoning
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
- 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
-searching for counter-examples -> if counter examples are not found, your original model seems fine
belief bias?
Limitations of mental model theory
- assumes that people try to falsify their models
syllogistic reasoning
example:
1) all humans are mortal
2) socrates is a human
3) socrates is mortal
wason selection task
modus tollens
- When we have ‘If A then B ‘ and we know B is false, A is also false
inductive reasoning
2 kinds of deductive reasoning
- syllogistic reasoning
propositional reasoning
fallacies (2)
rules that produce conclusions that are false even if the premises are true
affirmation (Beteuerung) of the consequences
-when the consequence is said to be true, the antecedent is also assumed to be true as well
denial of antecedent (Vordersatz)
types of inductive reasoning (2)
- hypothesis testing
analogical reasoning
Hypothesis testing
example: you are given 3 numbers (2,4,6) and you have to find out which rule this triplet follows
- cannot ask questions
- one has to offer own examples and get feedback on it
- most people fail to test their rule by giving counterexamples
confirmation bias
belief bias
which bias plays a role in the wason selection task?
modus ponens
PRIMA