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Ideas for 'Metaphysics', 'Pragmatism and Deflationism' and 'Frege philosophy of mathematics'

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6 ideas

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic

17850

Each many is just ones, and is measured by the one [Aristotle]

17851

Number is plurality measured by unity [Aristotle]

17843

The idea of 'one' is the foundation of number [Aristotle]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

9793	Mathematics studies abstracted relations, commensurability and proportion [Aristotle]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique

9829	The identity of a number may be fixed by something outside structure - by counting [Dummett]

9828	Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett]