On Hilbert's Sixth Problem

On Hilbert's Sixth Problem

da Costa, Newton C. A.; Doria, Francisco Antonio

Springer Nature Switzerland AG

01/2022

191

Dura

Inglês

9783030838362

15 a 20 dias

483

Descrição não disponível.
Foreword.- 1. Preliminary.- Part I. Physics: A Primer. 2. Classical mechanics.- 3. Variational calculus.- 4. Lagrangian formulation.- 5. Hamilton's equations.- 6. Hamilton-Jacobi theory.- 7. Where the action is.- 8. From classical to quantum.- 9. Field theory.- 10. Electromagnetism.- 11. Special relativity.- 12. General relativity.- 13. Gauge field theories.- Part II. Axiomatics. 14. Axiomatizations in ZFC.- Part III. Technicalities. 15. Hierarchies.- Part IV. More applications. 16. Arnol'd's 1974 problems.- 17. Forcing and gravitation.- 18. Economics and ecology.- Part V. Computer science. 19. Fast-growing functions.- Part VI. Hypercomputation. 20. Hypercomputation.- References.
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Physics Formal Philosophy;Foundation Physics Philosophy Hilbert;Goedel Theorem Philosophy;analytico-canonical formalism;Lagrangian functional criticism;Lagrangian Formulation;Schroedinger Philosophy;Emmy Noether Philosophy;Euler-Lagrange Equations;Suppes Axiomatization;Logic Physics Hilbert;Mathematical Treatment of the Axioms of Physics;Axiomatic Method Physics;Axiomatic Method Philosophy