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Ideas for
'The Evolution of Modern Metaphysics', 'Counting and the Natural Numbers' and 'Realistic Rationalism'
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4 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
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The essence of natural numbers must reflect all the functions they perform [Sicha]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
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To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]
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Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
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'Real' maths objects have no causal role, no determinate reference, and no abstract/concrete distinction [Katz]
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