Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Hobbes' and 'Discipline and Punish'

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7 ideas

2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Without confidence in our beliefs, how should we actually live? [Tuck]
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]