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Ideas for 'Logicism and Ontological Commits. of Arithmetic', 'Vagaries of Definition' and 'Frege philosophy of mathematics'

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

8203	All the arithmetical entities can be reduced to classes of integers, and hence to sets [Quine]

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]