TASK 4 - REASONING Flashcards
reasoning
= cognitive processes that transform given information (a set of premises) in order to reach conclusions
deductive reasoning
= general –> specific
- deductive validity = when premises are true, you reason according to logical principles, then your conclusion cannot be wrong
inductive reasoning
= specific –> general
- conclusion can contain new information
- inductive strength = argument has inductive strength if it is impossible for premises to be true and conclusion to be false
inductive
- analogical reasoning
- apply found relationship/analogy to determine a solution
- verbal (“A is to B what C is to ___) + pictorial analogies
- series & matrix completion
inductive
- hypothesis testing
- people tend to first develop a general idea of the rule, then construct examples
- 2-4-6 task (Wason): given a bunch of numbers; have to determine the rule only by offering examples, not by asking direct questions about the rule
- confirmation bias: people try to confirm their rule is true rather than trying to test/ falsify it
- positive testing: generating numbers that are instance for hypothesis
deductive
- conditional/propositional reasoning
= if-then relations (A: antecedent, B: conclusion)
- proposition = claim that can be either true or false
- compound propositions: propositions formed by using logical connectives
a) affirming antecedent = modus ponen: A √, B √
b) denying antecedent: A x, B x
c) affirming consequence: B √, A √
d) denying consequence = modus tollens: B x, A x
deductive
- syllogistic reasoning
= categorical syllogism: 3 premises that deal with classes of entities (include quantifiers)
1&2: state premises
- premises = propositions about which arguments are made
3: conclusion based on premises
- belief bias: tendency to accept invalid conclusions that are believable rather than believe valid conclusions that are unbelievable
deductive/conditional reasoning
- Wason selection task
- must affirm modus ponens + tollens
- matching bias: tendency to select those cards explicitly mentioned in the rule
- confirmation bias: tendency to confirm own hypothesis rather than looking for other options
conditional reasoning
- 2 systems, 4 processing strategies
system 1:
- pragmatic strategy: causal processing during conversation
- semantic strategy: use background knowledge
system 2:
- inhibitory strategy: inhibit pragmatic strategy and background knowledge
- generative strategy: combine inhibitory with abstract analytic processing; BEST ONE
everyday reasoning
- implicit premises
- problems are not self-contained
- several possible answers which vary in quality
- rarely established procedures
- personal relevance
- goal-directed
deductive
- mental model theory
mental model = representation of a possible state of affairs in the world
- principle of truth: construct mental models that represent explicitly only what is true + not what is false; minimise WM load
- -> confirmation bias
- people should use falsification
limitations of mental model theory
x overestimate deductive reasoning + falsification
x processes are under-specified
x ignores individual differences
x doesn’t explain which pieces of background knowledge are used
deductive
- dual-systems theory
- Kahneman
associative system 1: - unconscious, fast - heuristic-based - parallel processing - unlimited capacity - independent of general intelligence analytical system 2: - deliberate, active, analytic - rule-based - serial processing (one problem at a time) - limited by WM - dependent on general intelligence
heuristic-analytic theory
- Evans
heuristic processes (I): task features, current goal and background knowledge to construct single hypothetical possibility analytic process (II): may or may not intervene to revise or replace mental model
principles of heuristic-analytic theory
- singularity principle: one model at a time
- relevance principle: only consider what is relevant for mental model
- satisfying principle: decide if mental model satisfies needs (analytic thinking)