Combining Texts

All the ideas for 'Philosophy of Mathematics', 'True Believers' and 'Artistic Value and Opportunistic Moralism'

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9 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]
18. Thought / C. Content / 1. Content
States have content if we can predict them well by assuming intentionality [Dennett, by Schulte]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
The works we value most are in sympathy with our own moral views [John,E]
We should understand what is morally important in a story, without having to endorse it [John,E]
We value morality in art because that is what we care about - but it is a contingent fact [John,E]
A work can be morally and artistically excellent, despite rejecting moral truth [John,E]