书目名称 | On Hilbert‘s Sixth Problem |
编辑 | Newton C. A. da Costa,Francisco Antonio Doria |
视频video | |
概述 | New work by two of the most renowned philosophers from Brazil.Explores which mathematical universe is required for the description of concrete physical events.Stresses that classical mechanics in its |
丛书名称 | Synthese Library |
图书封面 |  |
描述 | This book explores the premise that a physical theory is an interpretation of the analytico–canonical formalism. Throughout the text, the investigation stresses that classical mechanics in its Lagrangian formulation is the formal backbone of theoretical physics. The authors start from a presentation of the analytico–canonical formalism for classical mechanics, and its applications in electromagnetism, Schrödinger‘s quantum mechanics, and field theories such as general relativity and gauge field theories, up to the Higgs mechanism..The analysis uses the main criterion used by physicists for a theory: to formulate a physical theory we write down a Lagrangian for it. A physical theory is a particular instance of the Lagrangian functional. So, there is already an unified physical theory. One only has to specify the corresponding Lagrangian (or Lagrangian density); the dynamical equations are the associated Euler–Lagrange equations. The theory of Suppes predicates as the main tool 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 look |
出版日期 | Book 2022 |
关键词 | Physics Formal Philosophy; Foundation Physics Philosophy Hilbert; Gödel Theorem Philosophy; analytico–c |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-83837-9 |
isbn_softcover | 978-3-030-83839-3 |
isbn_ebook | 978-3-030-83837-9Series ISSN 0166-6991 Series E-ISSN 2542-8292 |
issn_series | 0166-6991 |
copyright | Springer Nature Switzerland AG 2022 |