Combining Philosophers

Ideas for Anaxarchus, Plato and Tyler Burge

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6 ideas

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

8726	Geometry can lead the mind upwards to truth and philosophy [Plato]

9867	It is absurd to define a circle, but not be able to recognise a real one [Plato]

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 / f. Arithmetic

13155

If you add one to one, which one becomes two, or do they both become two? [Plato]

9865	Daily arithmetic counts unequal things, but pure arithmetic equalises them [Plato]