Ideas from 'Review of Chihara 'Struct. Accnt of Maths'' by John P. Burgess [2005], by Theme Structure
[found in 'Philosophia Mathematica' (ed/tr -) [- ,]].
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
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10185
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Set theory is the standard background for modern mathematics
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
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10184
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Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure
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10189
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There is no one relation for the real number 2, as relations differ in different models
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
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10186
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If set theory is used to define 'structure', we can't define set theory structurally
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10187
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Abstract algebra concerns relations between models, not common features of all the models
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10188
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How can mathematical relations be either internal, or external, or intrinsic?
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