Combining Texts

Ideas for 'Through the Looking Glass', 'De Corpore (Elements, First Section)' and 'The Republic'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
Geometry can lead the mind upwards to truth and philosophy [Plato]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
If we just say one, one, one, one, we don't know where we have got to [Hobbes]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
We aim for elevated discussion of pure numbers, not attaching them to physical objects [Plato]
In pure numbers, all ones are equal, with no internal parts [Plato]
Geometry is not an activity, but the study of unchanging knowledge [Plato]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The same thing is both one and an unlimited number at the same time [Plato]