Inductive generalisation Flashcards
Particular instances of things
e.g. you have a short temper, this carrot cake is delicious
Specific claims
Entire classes of things
e.g. emus can’t fly, all carrot cake is delicious
Universal claims
Making generalisation about universal claims based on specific claims
e.g. Sample 1, 2, 3, 4. general conclusion
Inductive generalisation
from general to specific claim
Deductive reasoning
from specific to general claim
Inductive reasoning
Induction if done badly risks the fallacy…
hasty generalisation
Problem with induction
Is in itself an inductive argument (essentially begging the question). If it has happened lots, doesn’t guarantee it will happen again.
no number of positive instances of a universal claim can guarantee the truth of a universal claim HOWEVER just one negative instance of a universal claim is sufficient to prove universal claim as false. This is called:
A logical asymmetry
checking all instances of a universal claim to ensure that there are no disconfirming examples (often hard to do though)
Complete enumeration
3 rules for good induction
- Sample should be sufficiently numerous and various
- Should look for both confirming and disconfirming examples
- Should consider whether a link between two classes is plausible
Are inductive arguments valid?
No
For good induction a sample should be sufficiently numerous and various because
more variation/numerous = more representative = more certainty
General rule for how much variation you should have:
If you want to claims that S’s are P, the sample of S’s should vary in every property (other than being S) that might be responsible for their being P
For good induction you should look for both confirming and disconfirming examples because
a single negative instance is enough to disprove a universal claim (and if we can’t find a negative, you can be more certain about the truth of the universal claim)
For good induction you should consider whether a link between two classes is plausible based on
based on other information we already know to show that it supports our claim e.g. sun rises in east (claim), see it rise in east (reason), earth rotation (related class supporting claim)