Combining Texts

All the ideas for 'Roman Law', 'Philosophy of Mathematics' and 'There are no ordinary things'

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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]
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
Vague predicates lack application; there are no borderline cases; vague F is not F [Unger, by Keefe/Smith]
9. Objects / A. Existence of Objects / 5. Simples
There are no objects with proper parts; there are only mereological simples [Unger, by Wasserman]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
No crime and no punishment without a law [Roman law]