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Ideas for
'Thinking About Mathematics', 'Ontology and the Ambitions of Metaphysics' and 'Inference to the Best Explanation (2nd)'
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6 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
21644
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Numbers are used as singular terms, as adjectives, and as symbols [Hofweber]
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21646
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The Amazonian Piraha language is said to have no number words [Hofweber]
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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 / 4. Using Numbers / f. Arithmetic
21665
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The fundamental theorem of arithmetic is that all numbers are composed uniquely of primes [Hofweber]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
21649
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How can words be used for counting if they are objects? [Hofweber]
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