Combining Texts

All the ideas for 'Leibniz: Guide for the Perplexed', 'The Myth of the Aesthetic Attitude' and 'Philosophy of Mathematics'

expand these ideas     |    start again     |     specify just one area for these texts


6 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 / B. Unity of Objects / 2. Substance / d. Substance defined
Substance needs independence, unity, and stability (for individuation); also it is a subject, for predicates [Perkins]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
The aesthetic attitude is nothing more than paying close attention [Dickie, by Giovannelli]