Combining Texts

All the ideas for 'Carving Content at the Joints', 'A priori/A posteriori' and 'Philosophy of Mathematics'

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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]
12. Knowledge Sources / A. A Priori Knowledge / 10. A Priori as Subjective
Maybe imagination is the source of a priori justification [Casullo]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
A sentence should be recarved to reveal its content or implication relations [Yablo]