Combining Texts
Ideas for
'Classical Cosmology (frags)', 'Enquiry Conc Human Understanding' and 'Introduction to the Philosophy of Mathematics'
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15 ideas
14. Science / C. Induction / 2. Aims of Induction
2198
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We assume similar secret powers behind similar experiences, such as the nourishment of bread [Hume]
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14. Science / C. Induction / 3. Limits of Induction
2199
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Reason cannot show why reliable past experience should extend to future times and remote places [Hume]
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2202
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Fools, children and animals all learn from experience [Hume]
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2204
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All inferences from experience are effects of custom, not reasoning [Hume]
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2201
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Induction can't prove that the future will be like the past, since induction assumes this [Hume]
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2203
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If we infer causes from repetition, this explains why we infer from a thousand objects what we couldn't infer from one [Hume]
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14. Science / C. Induction / 4. Reason in Induction
6350
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Premises can support an argument without entailing it [Pollock/Cruz on Hume]
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3598
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Hume just shows induction isn't deduction [Williams,M on Hume]
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14. Science / C. Induction / 6. Bayes's Theorem
17943
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Probability supports Bayesianism better as degrees of belief than as ratios of frequencies [Colyvan]
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14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
17939
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Mathematics can reveal structural similarities in diverse systems [Colyvan]
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14. Science / D. Explanation / 2. Types of Explanation / f. Necessity in explanations
17938
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Mathematics can show why some surprising events have to occur [Colyvan]
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14. Science / D. Explanation / 2. Types of Explanation / m. Explanation by proof
17934
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Proof by cases (by 'exhaustion') is said to be unexplanatory [Colyvan]
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17933
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Reductio proofs do not seem to be very explanatory [Colyvan]
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17935
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If inductive proofs hold because of the structure of natural numbers, they may explain theorems [Colyvan]
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17942
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Can a proof that no one understands (of the four-colour theorem) really be a proof? [Colyvan]
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