Combining Texts

All the ideas for 'fragments/reports', 'Philosophy of Mathematics' and 'Identity through Possible Worlds'

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7 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 / C. Structure of Objects / 6. Constitution of an Object
If someone squashed a horse to make a dog, something new would now exist [Mnesarchus]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
If there are essential properties, how do you find out what they are? [Chisholm]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
Could possible Adam gradually transform into Noah, and vice versa? [Chisholm]