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Ideas for 'Thinking About Mathematics', 'The Power of Words' and 'Lectures 1930-32 (student notes)'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number

8763	The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro]

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 / 3. Nature of Numbers / h. Reals from Cauchy

18249

Cauchy gave a formal definition of a converging sequence. [Shapiro]

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]