what is thinking?
what is deductive reasoning
thinking
general–> specific
what is inductive reasoning
specific –> general
2 components of inductive reasonng
1) specific induction
2) general induction
what is specific induction
when is specific induction useful?
specific induction and hockey example
on TV see very first hockey game, see a lot of violence
- know next time watch there will be violence
what is general induction
- induce general rule
inducing general rule in general induction problems
2 problems of deductive reasoning
syllogisms
conditional reasoning
what is deductive reasoning?
what are syllogisms?
what matters in a syllogisms?
veracity does not matter
example of a syllogism (carlos, bird, fly)
all birds can fly
carlos is a bird
therefore carlos can fly
3 ways to judge conclusion using syllogism
valid
invalid
indeterminate
syllogism- when do you use type 1 processing
type 1: automatically say its valid
type 2: re-examine the syllogism, and realize that the strict rules of deductive reasoning require you to answer ‘conclusion is indeterminate’
2 types of syllogism
universal
specific
what is a universal syllogism
includes “all”
ex: all birds can fly
what is a specific syllogism
“some” birds can fly
syllogisms can be 2 things
affirmative and negative
ex: neg- no birds can fly, carlos is a bird, therefore carlos cannot fly (valid)
ex: neg- some birds cannot fly, carlos is a burd, therefore carlos cannot fly (indeterminate)
what is conditional reasoning?
judge conditional reasoning to be either
valid or invalid
what do you use to represent conditional reasoning
propositional calculus
2 parts to if- then statement
antecedent (P)- “if”
consequent (Q) – “then”