Results for 'Weyl'

16 found
Order:
  1.  36
    Why Did Weyl Think That Emmy Noether Made Algebra the Eldorado of Axiomatics?Iulian D. Toader - forthcoming - Hopos: The Journal of the International Society for the History of Philosophy of Science.
    The paper discusses Weyl's early view on axiomatics, then focuses on his remarks on Noether's work, and argues against assimilating her use of the axiomatic method in algebra to his late view on axiomatics, on the ground of Weyl's resistance to Noether's principle of detachment.
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  2. Objectivity Sans Intelligibility. Hermann Weyl's Symbolic Constructivism.Iulian D. Toader - 2011 - Dissertation, University of Notre Dame
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  3. The Continuum East and West.Peter Jones - 2014 - Philosophy Pathways (185).
    We often speak of 'Eastern' and 'Western' philosophy, yet it is not always easy to distinguish the key factors that justify this distinction. This essay explores the very different conceptions of the continuum that underlie these two traditions of thought and knowledge. The views of Hermann Weyl are given and it is proposed that they are correct. Attention is drawn to the mutually-exclusive visions of the continuum that separate the philosophies of East and West, and that give us a (...)
    Download  
     
    Export citation  
     
    Bookmark  
  4.  93
    Hilbert's Objectivity.Lydia Patton - 2014 - Historia Mathematica 41 (2):188-203.
    Detlefsen (1986) reads Hilbert's program as a sophisticated defense of instrumentalism, but Feferman (1998) has it that Hilbert's program leaves significant ontological questions unanswered. One such question is of the reference of individual number terms. Hilbert's use of admittedly "meaningless" signs for numbers and formulae appears to impair his ability to establish the reference of mathematical terms and the content of mathematical propositions (Weyl (1949); Kitcher (1976)). The paper traces the history and context of Hilbert's reasoning about signs, which (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  5.  39
    An Elementary System of Axioms for Euclidean Geometry Based on Symmetry Principles.Boris Čulina - 2018 - Axiomathes 28 (2):155-180.
    In this article I develop an elementary system of axioms for Euclidean geometry. On one hand, the system is based on the symmetry principles which express our a priori ignorant approach to space: all places are the same to us, all directions are the same to us and all units of length we use to create geometric figures are the same to us. On the other hand, through the process of algebraic simplification, this system of axioms directly provides the (...)’s system of axioms for Euclidean geometry. The system of axioms, together with its a priori interpretation, offers new views to philosophy and pedagogy of mathematics: it supports the thesis that Euclidean geometry is a priori, it supports the thesis that in modern mathematics the Weyl’s system of axioms is dominant to the Euclid’s system because it reflects the a priori underlying symmetries, it gives a new and promising approach to learn geometry which, through the Weyl’s system of axioms, leads from the essential geometric symmetry principles of the mathematical nature directly to modern mathematics. (shrink)
    Download  
     
    Export citation  
     
    Bookmark  
  6. Time's Arrow in a Quantum Universe: On the Status of Statistical Mechanical Probabilities.Eddy Keming Chen - 2020 - In Valia Allori (ed.), Statistical Mechanics and Scientific Explanation: Determinism, Indeterminism and Laws of Nature. World Scientific. pp. 479–515.
    In a quantum universe with a strong arrow of time, it is standard to postulate that the initial wave function started in a particular macrostate---the special low-entropy macrostate selected by the Past Hypothesis. Moreover, there is an additional postulate about statistical mechanical probabilities according to which the initial wave function is a ''typical'' choice in the macrostate. Together, they support a probabilistic version of the Second Law of Thermodynamics: typical initial wave functions will increase in entropy. Hence, there are two (...)
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  7.  44
    From Einstein's Physics to Neurophilosophy: On the Notions of Space, Time and Field as Cognoscitive Conditions Under Kantian-Husserlian Approach in the General Relativity Theory.Ruth Castillo - forthcoming - Bitácora-E.
    The current technoscientific progress has led to a sectorization in the philosophy of science. Today the philosophy of science isn't is informal interested in studying old problems about the general characteristics of scientific practice. The interest of the philosopher of science is the study of concepts, problems and riddles of particular disciplines. Then, within this progress of philosophy of science, neuroscientific research stands out, because it invades issues traditionally addressed by the humanities, such as the nature of consciousness, action, knowledge, (...)
    Download  
     
    Export citation  
     
    Bookmark  
  8. From Physics to Biology by Extending Criticality and Symmetry Breakings.Giuseppe Longo & Maël Montévil - 2011 - Progress in Biophysics and Molecular Biology 106:340 - 347.
    Symmetries play a major role in physics, in particular since the work by E. Noether and H. Weyl in the first half of last century. Herein, we briefly review their role by recalling how symmetry changes allow to conceptually move from classical to relativistic and quantum physics. We then introduce our ongoing theoretical analysis in biology and show that symmetries play a radically different role in this discipline, when compared to those in current physics. By this comparison, we stress (...)
    Download  
     
    Export citation  
     
    Bookmark   6 citations  
  9. Physical Order and the Existence of God.Iulian D. Toader - 2013 - In Athens and/or Jerusalem: Essays on the Relationship Between Science and Religion. University of Bucharest Press. pp. 133-142.
    This paper, written in Romanian, explains why the eutaxiological argument, endorsed by scientists like Newton, Einstein, and Weyl, and recently defended by Richard Swinburne, is not defensible.
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  10. Grete Hermann as Neo-Kantian Philosopher of Space and Time.Erik C. Banks - manuscript
    This paper for an upcoming journal volume examines Grete Hermann's Naturphilosophischen Grundlagen der Quantenmechanik (1935) and the relative context, or perspectival, interpretation of standard quantum mechanics found therein. I find an argument for the emergence of limited spatio-temporal and retrocausal stories, from a chosen experimental perspective, within a larger set of entangled systems not subject to a spatio-temporal interpretation. This argument can be read in reverse as giving some of the necessary preconditions of spatio-temporal representations as based upon perspectival relations, (...)
    Download  
     
    Export citation  
     
    Bookmark  
  11. Dirac-Type Equations in a Gravitational Field, with Vector Wave Function.Mayeul Arminjon - 2008 - Foundations of Physics 38 (11):1020-1045.
    An analysis of the classical-quantum correspondence shows that it needs to identify a preferred class of coordinate systems, which defines a torsionless connection. One such class is that of the locally-geodesic systems, corresponding to the Levi-Civita connection. Another class, thus another connection, emerges if a preferred reference frame is available. From the classical Hamiltonian that rules geodesic motion, the correspondence yields two distinct Klein-Gordon equations and two distinct Dirac-type equations in a general metric, depending on the connection used. Each of (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  12. Universal One-Way Light Speed From a Universal Light Speed Over Closed Paths.Ettore Minguzzi & Alan Macdonald - 2003 - Foundations Of Physics Letters 16:593-604.
    This paper gives two complete and elementary proofs that if the speed of light over closed paths has a universal value c, then it is possible to synchronize clocks in such a way that the one-way speed of light is c. The first proof is an elementary version of a recent proof. The second provides high precision experimental evidence that it is possible to synchronize clocks in such a way that the one-way speed of light has a universal value. We (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  13.  29
    The Kochen - Specker Theorem in Quantum Mechanics: A Philosophical Comment (Part 1).Vasil Penchev - 2013 - Philosophical Alternatives 22 (1):67-77.
    Non-commuting quantities and hidden parameters – Wave-corpuscular dualism and hidden parameters – Local or nonlocal hidden parameters – Phase space in quantum mechanics – Weyl, Wigner, and Moyal – Von Neumann’s theorem about the absence of hidden parameters in quantum mechanics and Hermann – Bell’s objection – Quantum-mechanical and mathematical incommeasurability – Kochen – Specker’s idea about their equivalence – The notion of partial algebra – Embeddability of a qubit into a bit – Quantum computer is not Turing machine (...)
    Download  
     
    Export citation  
     
    Bookmark  
  14.  41
    Epistemologia gravitației cuantice.Nicolae Sfetcu - manuscript
    Din punct de vedere metodologic, atât Newton cât și Einstein, și ulterior Dirac, au susținut fără rezerve principiul simplității matematice în descoperirea noilor legi fizice ale naturii. Lor li s-au alăturat și Poincaré și Weyl. Eduard Prugovecki afirmă că gravitația cuantică a impus luarea în considerare a unor întrebări epistemologice fundamentale, care pot fi identificate în filosofie cu problema minții-corp și cu problema liberului arbitru. Aceste întrebări au influențat epistemologia mecanicii cuantice sub forma "paralelismului psiho-fizic" al lui von Neumann (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  15.  47
    The Ontology of General Relativity.Nicolae Sfetcu - manuscript
    General Relativity generated various early philosophical interpretations. His adherents have highlighted the "relativization of inertia" and the concept of simultaneity, Kantians and Neo-Kantians have underlined the approach of certain synthetic "intellectual forms" (especially the principle of general covariance, and logical empirics have emphasized the philosophical methodological significance of the theory. Reichenbach approached the GR through the "relativity of geometry" thesis, trying to build a "constructive axiomatization" of relativity based on "elementary matters of fact" (Elementartatbestande) for the observable behavior of light (...)
    Download  
     
    Export citation  
     
    Bookmark  
  16. Mecanica cuantică fenomenologică.Nicolae Sfetcu - 2019 - Drobeta Turnu Severin: MultiMedia Publishing.
    Previzualizare carte -/- O introducere la nivel fenomenologic, cu un aparat matematic minimal, în mecanica cuantică. Un ghid pentru cine dorește să înțeleagă cea mai modernă, mai complexă și mai neconformă disciplină fizică, un domeniu care a schimbat fundamental percepțiile oamenilor de știință despre Lume. În 1900, Max Planck a introdus ideea că energia este cuantificată, pentru a obţine o formulă la energia emisă de un corp negru. În 1905, Einstein a explicat efectul fotoelectric postulând că energia luminii vine în (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark