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Ideas for 'Philosophical Fragments', 'Regressive Method for Premises in Mathematics' and 'Philebus'

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4 ideas

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

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

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic

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

6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics

17627

It seems absurd to prove 2+2=4, where the conclusion is more certain than premises [Russell]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism

17628

Arithmetic was probably inferred from relationships between physical objects [Russell]