Combining Texts

All the ideas for 'fragments/reports', 'Among the Dead Cities' and 'Philosophy of Mathematics'

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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]
20. Action / C. Motives for Action / 5. Action Dilemmas / b. Double Effect
It is legitimate to do harm if it is the unintended side-effect of an effort to achieve a good [Grayling]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
Virtue comes more from habit than character [Critias]
25. Social Practice / E. Policies / 1. War / a. Just wars
War must also have a good chance of success, and be waged with moderation [Grayling]
28. God / C. Attitudes to God / 5. Atheism
Fear of the gods was invented to discourage secret sin [Critias]