Model Theory and the Philosophy of Mathematical Practice

Model Theory and the Philosophy of Mathematical Practice

Formalization without Foundationalism

Baldwin, John T.

Cambridge University Press

01/2018

362

Dura

Inglês

9781107189218

15 a 20 dias

780

Descrição não disponível.
Part I. Refining the Notion of Categoricity: 1. Formalization; 2. The context of formalization; 3. Categoricity; Part II. The Paradigm Shift: 4. What was model theory about?; 5. What is contemporary model theory about?; 6. Isolating tame mathematics; 7. Infinitary logic; 8. Model theory and set theory; Part III. Geometry: 9. Axiomatization of geometry; 10. ?, area, and circumference of circles; 11. Complete: the word for all seasons; Part IV. Methodology: 12. Formalization and purity in geometry; 13. On the nature of definition: model theory; 14. Formalism-freeness; 15. Summation.
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