Combining Texts
Ideas for
'Perception', 'Remarks on axiomatised set theory' and 'Introduction to the Philosophy of Mathematics'
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9 ideas
14. Science / C. Induction / 6. Bayes's Theorem
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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 / 1. Explanation / b. Aims of explanation
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6515
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An explanation presupposes something that is improbable unless it is explained [Robinson,H]
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6517
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If all possibilities are equal, order seems (a priori) to need an explanation - or does it? [Robinson,H]
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14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
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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
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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
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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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17934
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Proof by cases (by 'exhaustion') is said to be unexplanatory [Colyvan]
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