Titlebook: On Hilbert‘s Sixth Problem; Newton C. A. da Costa,Francisco Antonio Doria Book 2022 Springer Nature Switzerland AG 2022 Physics Formal Phi

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ElectromagnetismWe deal now with classical electromagnetic theory. We restrict our attention to the so-called vacuum fields. We start from another sacred spot, . which describe the electromagnetic field.

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Special RelativityThe basic criterion is: as we suppose that electromagnetic theory is the fundamental theory, we keep that theory as it is, and make the required changes in particle mechanics. “As it is” means: the Lorentz–Poincaré group is the symmetry group of electromagnetism, while the Galilean group is classical mechanics’ symetry group.

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Axiomatizations in ZFCThis unification was attained in the domains we just described through a least-effort principle (Hamilton’s Principle) applied to some kind of basic field, a scalar field, namely the Lagrangian or Lagrangian density, from which all known fields should be derived.

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Synthese Libraryhttp://image.papertrans.cn/o/image/701002.jpg

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https://doi.org/10.1007/978-3-030-83837-9Physics Formal Philosophy; Foundation Physics Philosophy Hilbert; Gödel Theorem Philosophy; analytico–c

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0166-6991 inthe axiomatization and examples from the usual theories in physics. For applications, a whole plethora of results from logic that lead to interesting, and sometimes unexpected, consequences..This volume look978-3-030-83839-3978-3-030-83837-9Series ISSN 0166-6991 Series E-ISSN 2542-8292