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Ideas for 'Lectures 1930-32 (student notes)', 'Begriffsschrift' and 'Democracy in America (abr Renshaw)'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

18738

We don't get 'nearer' to something by adding decimals to 1.1412... (root-2) [Wittgenstein]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

18708

Infinity is not a number, so doesn't say how many; it is the property of a law [Wittgenstein]

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]