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'Thinking About Mathematics', 'Truth-makers' and 'Philosophy of Arithmetic'
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5 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 / 3. Nature of Numbers / l. Zero
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0 is not a number, as it answers 'how many?' negatively [Husserl, by Dummett]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
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Multiplicity in general is just one and one and one, etc. [Husserl]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
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Husserl said counting is more basic than Frege's one-one correspondence [Husserl, by Heck]
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