Combining Philosophers
Ideas for Lynch,MP/Glasgow,JM, Mark Steiner and Mark Colyvan
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8 ideas
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
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13229
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Maybe an instance of a generalisation is more explanatory than the particular case [Steiner,M]
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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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17934
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Proof by cases (by 'exhaustion') is said to be unexplanatory [Colyvan]
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13231
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Explanatory proofs rest on 'characterizing properties' of entities or structure [Steiner,M]
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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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