Combining Philosophers

Ideas for Hermarchus, Tyler Burge and Michael Morris

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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 / 4. Using Numbers / c. Counting procedure

23460

To count, we must distinguish things, and have a series with successors in it [Morris,M]

23451

Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M]

23452

Discriminating things for counting implies concepts of identity and distinctness [Morris,M]