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Ideas for 'On What Grounds What', 'On Platonism in Mathematics' and 'Grundgesetze der Arithmetik 2 (Basic Laws)'

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5 ideas

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

10303

Restricted Platonism is just an ideal projection of a domain of thought [Bernays]

13741

If 'there are red roses' implies 'there are roses', then 'there are prime numbers' implies 'there are numbers' [Schaffer,J]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

10306

Mathematical abstraction just goes in a different direction from logic [Bernays]

6. Mathematics / C. Sources of Mathematics / 7. Formalism

9887	Formalism misunderstands applications, metatheory, and infinity [Frege, by Dummett]

8751	Only applicability raises arithmetic from a game to a science [Frege]