Combining Texts

All the ideas for 'Mathematics without Numbers', 'Discipline and Punish' and 'On the Concept of Number'

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6 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]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter]
24. Political Theory / C. Ruling a State / 4. Changing the State / a. Centralisation
Power is localised, so we either have totalitarian centralisation, or local politics [Foucault, by Gutting]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Prisons gradually became our models for schools, hospitals and factories [Foucault, by Gutting]