Combining Philosophers
Ideas for Lynch,MP/Glasgow,JM, Jerrold J. Katz and Kurt Gdel
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5 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10043
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Mathematical objects are as essential as physical objects are for perception [Gödel]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
2521
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'Real' maths objects have no causal role, no determinate reference, and no abstract/concrete distinction [Katz]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
10271
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Basic mathematics is related to abstract elements of our empirical ideas [Gödel]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
10045
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Impredicative definitions are admitted into ordinary mathematics [Gödel]
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8747
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Realists are happy with impredicative definitions, which describe entities in terms of other existing entities [Gödel, by Shapiro]
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