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'fragments/reports', 'The Philosophy of Mathematics' and 'Universal Arithmetick'
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3 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
9191
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Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett]
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6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
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A number is not a multitude, but a unified ratio between quantities [Newton]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
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The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]
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