Combining Texts

All the ideas for 'Roman Law', 'Notice of Fine's 'Limits of Abstraction'' and 'Mathematics without Numbers'

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5 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstraction theories build mathematics out of second-order equivalence principles [Cook/Ebert]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
No crime and no punishment without a law [Roman law]