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Ideas for 'Logicism and Ontological Commits. of Arithmetic', 'Review of Tait 'Provenance of Pure Reason'' and 'The Actual and the Virtual'

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2 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers

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Mathematics is higher-order modal logic [Hodes]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic

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Arithmetic must allow for the possibility of only a finite total of objects [Hodes]