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Ideas for 'fragments/reports', 'Philebus' and 'Begriffsschrift'

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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 / 4. Axioms for Number / f. Mathematical induction

17855

It may be possible to define induction in terms of the ancestral relation [Frege, by Wright,C]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory

10607

Frege's logic has a hierarchy of object, property, property-of-property etc. [Frege, by Smith,P]