Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Open Society and Its Enemies:Hegel and Marx' and 'Modern Moral Philosophy'

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8 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]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Popper felt that ancient essentialism was a bar to progress [Popper, by Mautner]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
It would be better to point to failings of character, than to moral wrongness of actions [Anscombe]
23. Ethics / D. Deontological Ethics / 1. Deontology
'Ought' and 'right' are survivals from earlier ethics, and should be jettisoned [Anscombe]
Between Aristotle and us, a Judaeo-Christian legal conception of ethics was developed [Anscombe]