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Ideas for 'Lectures 1930-32 (student notes)', 'Structuralism Reconsidered' and 'Of Organum or Ars Magna of Thinking'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers

8923	Numbers are identified by their main properties and relations, involving the successor function [MacBride]

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 / 7. Mathematical Structuralism / e. Structuralism critique

8926	For mathematical objects to be positions, positions themselves must exist first [MacBride]