Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Nihilism without Self-Contradiction' and 'How there could be a private language'

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8 ideas

2. Reason / D. Definition / 8. Impredicative Definition
10882 Predicative definitions only refer to entities outside the defined collection [Horsten]
2. Reason / F. Fallacies / 7. Ad Hominem
14231 We should always apply someone's theory of meaning to their own utterances [Liggins]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
14232 We normally formalise 'There are Fs' with singular quantification and predication, but this may be wrong [Liggins]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10884 A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10885 Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881 The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
14233 Nihilists needn't deny parts - they can just say that some of the xs are among the ys [Liggins]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
2604 We must have expressive power BEFORE we learn language [Fodor]