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3 ideas
16576 | Science is based on induction, for general truths about fire, rhubarb and magnets [Buridan] |
Full Idea: Induction should be regarded as a principle of natural science. For otherwise you could not prove that every fire is hot, that all rhubarb is purgative of bile, that every magnet attracts iron. | |
From: Jean Buridan (Questions on Aristotle's Physics [1346], I.15 f. 18vb), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 02.3 | |
A reaction: He is basing this on Aristotle, and refers to 'Physics' 190a33-b11. |
2798 | Probability of H, given evidence E, is prob(H) x prob(E given H) / prob(E) [Horwich] |
Full Idea: Bayesianism says ideally rational people should have degrees of belief (not all-or-nothing beliefs), corresponding with probability theory. Probability of H, given evidence E, is prob(H) X prob(E given H) / prob(E). | |
From: Paul Horwich (Bayesianism [1992], p.41) |
2799 | Bayes' theorem explains why very surprising predictions have a higher value as evidence [Horwich] |
Full Idea: Bayesianism can explain the fact that in science surprising predictions have greater evidential value, as the equation produces a higher degree of confirmation. | |
From: Paul Horwich (Bayesianism [1992], p.42) |