Combining Philosophers

Ideas for Weisberg/Needham/Hendry, Pythagoras and Plato

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5 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
Geometry can lead the mind upwards to truth and philosophy [Plato]
It is absurd to define a circle, but not be able to recognise a real one [Plato]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
If you add one to one, which one becomes two, or do they both become two? [Plato]
Daily arithmetic counts unequal things, but pure arithmetic equalises them [Plato]