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Ideas for 'On What Grounds What', 'works' and 'The Architecture of Mathematics'

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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

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From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]

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]