Combining Texts

All the ideas for 'works', 'Frege on Apriority' and 'Structuralism Reconsidered'

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4 ideas

5. Theory of Logic / D. Assumptions for Logic / 3. Contradiction
Contradiction is not a sign of falsity, nor lack of contradiction a sign of truth [Pascal]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
You can't simply convert geometry into algebra, as some spatial content is lost [Burge]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
Numbers are identified by their main properties and relations, involving the successor function [MacBride]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
For mathematical objects to be positions, positions themselves must exist first [MacBride]