Combining Texts
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'works', 'Contemporary Philosophy of Mind' and 'Introduction to the Philosophy of Mathematics'
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8 ideas
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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14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
3232
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Abduction could have true data and a false conclusion, and may include data not originally mentioned [Rey]
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14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
3128
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It's not at all clear that explanation needs to stop anywhere [Rey]
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