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'Thinking About Mathematics', 'The Theory of Communicative Action' and 'Letter to Shumacher'
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3 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
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The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
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Cauchy gave a formal definition of a converging sequence. [Shapiro]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
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Actual infinities are not allowed in mathematics - only limits which may increase without bound [Gauss]
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