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Ideas for 'Parmenides', 'Enquiry Conc Human Understanding' and 'Contemporary theories of Knowledge (2nd)'

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11 ideas

14. Science / C. Induction / 1. Induction
Enumerative induction gives a universal judgement, while statistical induction gives a proportion [Pollock/Cruz]
     Full Idea: Enumerative induction examines a sample of objects, observes they all have a property, and infers that they all have that property; statistical induction observes a proportion of the objects having the property, and infers that proportion in general.
     From: J Pollock / J Cruz (Contemporary theories of Knowledge (2nd) [1999], §1.4.6)
     A reaction: There is also induction by elimination, where it is either p or q, and observation keeps saying it isn't p. A small sample is very unreliable, but a huge sample (e.g. cigarettes and cancer) is almost certain, so where is the small/huge boundary?
14. Science / C. Induction / 2. Aims of Induction
We assume similar secret powers behind similar experiences, such as the nourishment of bread [Hume]
     Full Idea: We always presume, when we see like sensible qualities, that they have like secret powers, and expect that effects, similar to those which we have experienced, will follow from them. …Thus, we expect bread to nourish us, from previous experience.
     From: David Hume (Enquiry Conc Human Understanding [1748], IV.II.29)
14. Science / C. Induction / 3. Limits of Induction
Reason cannot show why reliable past experience should extend to future times and remote places [Hume]
     Full Idea: The main question on which I would insist is why reliable past experience should be extended to future times, and to other objects, which for ought we know, may be only in appearance similar. …No reasoning can show this.
     From: David Hume (Enquiry Conc Human Understanding [1748], IV.II.30)
Fools, children and animals all learn from experience [Hume]
     Full Idea: It is certain that the most ignorant and stupid peasants - nay infants, nay even brute beasts - improve by experience.
     From: David Hume (Enquiry Conc Human Understanding [1748], IV.II.33)
All inferences from experience are effects of custom, not reasoning [Hume]
     Full Idea: All inferences from experience are effects of custom, not reasoning.
     From: David Hume (Enquiry Conc Human Understanding [1748], V.I.36)
Induction can't prove that the future will be like the past, since induction assumes this [Hume]
     Full Idea: It is impossible that any arguments from experience can prove the resemblance of the past to the future, since all these arguments are founded on the supposition of this resemblance.
     From: David Hume (Enquiry Conc Human Understanding [1748], IV.II.32)
If we infer causes from repetition, this explains why we infer from a thousand objects what we couldn't infer from one [Hume]
     Full Idea: If after the constant conjunction of two objects (e.g. heat and flame) we are determined by custom alone to expect the one from the appearance of the other,this explains why we can draw an inference from a thousand objects which we couldn't draw from one.
     From: David Hume (Enquiry Conc Human Understanding [1748], V.I.36)
     A reaction: This is Hume's best statement of the problem of the difficulty of demonstration the logic of induction.
14. Science / C. Induction / 4. Reason in Induction
Premises can support an argument without entailing it [Pollock/Cruz on Hume]
     Full Idea: Contrary to what Hume supposed, it must be possible for the premises of an argument to support a conclusion without logically entailing it.
     From: comment on David Hume (Enquiry Conc Human Understanding [1748]) by J Pollock / J Cruz - Contemporary theories of Knowledge (2nd) §1.2
     A reaction: This seems to me an extremely important point, made with nice clarity. It is why people who are good at logic are not necessarily good at philosophy. The latter is about thinking rationally, not following the laws of deduction.
Hume just shows induction isn't deduction [Williams,M on Hume]
     Full Idea: All that Hume has really shown with his argument is that induction is not deduction.
     From: comment on David Hume (Enquiry Conc Human Understanding [1748], IV.II.29) by Michael Williams - Problems of Knowledge Ch.18
14. Science / C. Induction / 6. Bayes's Theorem
Since every tautology has a probability of 1, should we believe all tautologies? [Pollock/Cruz]
     Full Idea: It follows from the probability calculus that every tautology has probability 1; it then follows in Bayesian epistemology that we are justified in believing every tautology.
     From: J Pollock / J Cruz (Contemporary theories of Knowledge (2nd) [1999], §4.3.1.5)
     A reaction: If I say 'a bachelor is a small ant' you wouldn't believe it, but if I said 'I define a bachelor as a small ant' you would have to believe it. 'Bachelors are unmarried' men is a description of English usage, so is not really a simple tautology.
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
Scientific confirmation is best viewed as inference to the best explanation [Pollock/Cruz]
     Full Idea: The confirmation of scientific theories is probably best viewed in terms of inference to the best explanation.
     From: J Pollock / J Cruz (Contemporary theories of Knowledge (2nd) [1999], §2.3.3.3)
     A reaction: A simple claim, but one with which I strongly agree. 'Inference', of course, implies that there is some fairly strict logical thinking going on, which may not be so. I suspect that dogs can move to the best explanation. It is, though, a rational process.