Combining Philosophers

Ideas for Anaxarchus, Mark Colyvan and Tyler Burge

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5 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry

16901

The equivalent algebra model of geometry loses some essential spatial meaning [Burge]

9159	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 / e. Ordinal numbers

17928

Ordinal numbers represent order relations [Colyvan]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

17923

Intuitionists only accept a few safe infinities [Colyvan]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility

17941

Infinitesimals were sometimes zero, and sometimes close to zero [Colyvan]