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Ideas for 'Defending the Axioms', 'Lecture on Applicability of Mathematics' and 'Frege on Apriority'

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2 ideas

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 / 5. The Infinite / g. Continuum Hypothesis
Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]