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'Function and Concept', 'Ideas' and 'Universal Arithmetick'
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3 ideas
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
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Mesopotamian numbers applied to specific things, and then became abstract [Watson]
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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 / C. Sources of Mathematics / 6. Logicism / a. Early logicism
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Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism [Frege]
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