Combining Texts

All the ideas for 'fragments/reports', 'Philosophy of Mathematics' and 'On the Genealogy of Ethics'

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10 ideas

1. Philosophy / B. History of Ideas / 2. Ancient Thought
Early Greeks cared about city and companions; later Greeks concentrated on the self [Foucault]
2. Reason / C. Styles of Reason / 1. Dialectic
Like spiderswebs, dialectical arguments are clever but useless [Ariston, by Diog. Laertius]
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]
22. Metaethics / B. Value / 2. Values / h. Fine deeds
Why couldn't a person's life become a work of art? [Foucault]
22. Metaethics / C. The Good / 3. Pleasure / b. Types of pleasure
Greeks and early Christians were much more concerned about food than about sex [Foucault]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean
The chief good is indifference to what lies midway between virtue and vice [Ariston, by Diog. Laertius]
23. Ethics / D. Deontological Ethics / 1. Deontology
Ariston says rules are useless for the virtuous and the non-virtuous [Ariston, by Annas]