Combining Texts

All the ideas for 'Models and Reality', 'talk' and 'Foundations of Geometry'

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7 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L

13655

The Löwenheim-Skolem theorems show that whether all sets are constructible is indeterminate [Putnam, by Shapiro]

9915	V = L just says all sets are constructible [Putnam]

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism

10053

Geometrical axioms imply the propositions, but the former may not be true [Russell]

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

9913	The Löwenheim-Skolem Theorem is close to an antinomy in philosophy of language [Putnam]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

10052

Geometry is united by the intuitive axioms of projective geometry [Russell, by Musgrave]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism

9914	It is unfashionable, but most mathematical intuitions come from nature [Putnam]

24. Political Theory / B. Nature of a State / 5. Culture

21432

Culture is the struggle to agree what is normal [Gibson,A]