On Hilbert's Sixth Problem
Springer International Publishing (Verlag)
978-3-030-83839-3 (ISBN)
lt;b>Francisco Antonio Doria is Professor Emeritus, UFRJ. PhD (mathematical physics, advisor Leopoldo Nachbin, 1977, CBPF, Rio Brazil). With Newton da Costa settled the 1976 Arnol'd Hilbert Symposium Problems; proved that chaos in dynamical systems theory is undecidable.
Newton C. A. da Costa is a well-known expert in the field of nonclassical logics, developed the theory of paraconsistent logics.
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.
"This book is a compilation, 'an essay', of the bulk of their work from 1990 to the present. This 191 page essay includes some historical background and lots of snippets and parts of da Costa and Doria's work on the meta-mathematics of mathematical physics. It starts with a primer on graduate-level basic physics ... ending with a consideration of hypercomputation." (Deborah Konkowski, zbMATH 1494.00005, 2022)
“This book is a compilation, ‘an essay’, of the bulk of their work from 1990 to the present. This 191 page essay includes some historical background and lots of snippets and parts of da Costa and Doria’s work on the meta-mathematics of mathematical physics. It starts with a primer on graduate-level basic physics … ending with a consideration of hypercomputation.” (Deborah Konkowski, zbMATH 1494.00005, 2022)
Erscheinungsdatum | 30.01.2023 |
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Reihe/Serie | Synthese Library |
Zusatzinfo | XIII, 191 p. 1 illus. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 303 g |
Themenwelt | Geisteswissenschaften ► Philosophie ► Allgemeines / Lexika |
Naturwissenschaften | |
Schlagworte | analytico-canonical formalism • analytico–canonical formalism • Axiomatic Method Philosophy • Axiomatic Method Physics • Emmy Noether Philosophy • Euler-Lagrange equations • Euler–Lagrange Equations • Foundation Physics Philosophy Hilbert • Gödel Theorem Philosophy • Lagrangian formulation • Lagrangian functional criticism • Logic Physics Hilbert • Mathematical Treatment of the Axioms of Physics • Physics Formal Philosophy • Schrödinger Philosophy • Suppes Axiomatization |
ISBN-10 | 3-030-83839-0 / 3030838390 |
ISBN-13 | 978-3-030-83839-3 / 9783030838393 |
Zustand | Neuware |
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