Combining Philosophers
Ideas for B Hale / C Wright, Buddha (Siddhartha Gautama) and Jonathan Schaffer
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7 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
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If 'there are red roses' implies 'there are roses', then 'there are prime numbers' implies 'there are numbers' [Schaffer,J]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
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If a notion is ontologically basic, it should be needed in our best attempt at science [Schaffer,J]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
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Logicism is only noteworthy if logic has a privileged position in our ontology and epistemology [Hale/Wright]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
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The neo-Fregean is more optimistic than Frege about contextual definitions of numbers [Hale/Wright]
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Logicism might also be revived with a quantificational approach, or an abstraction-free approach [Hale/Wright]
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Neo-Fregeanism might be better with truth-makers, rather than quantifier commitment [Hale/Wright]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
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Are neo-Fregeans 'maximalists' - that everything which can exist does exist? [Hale/Wright]
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