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Ideas for 'works', 'Intuitionism and Formalism' and 'Lectures 1930-32 (student notes)'

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5 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 / 4. Using Numbers / g. Applying mathematics

12451

Scientific laws largely rest on the results of counting and measuring [Brouwer]

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 / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism

12454

Intuitionists only accept denumerable sets [Brouwer]

12453

Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]