Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Truth' and 'Amphitheatrum'

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7 ideas

2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
True sentences says the appropriate descriptive thing on the appropriate demonstrative occasion [Austin,JL]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
Correspondence theorists shouldn't think that a country has just one accurate map [Austin,JL]
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]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
Prime matter is nothing but its parts [Vanini]