9 found
Order:
  1.  47
    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.  36
    On the Categoricity of Quantum Mechanics.Iulian D. Toader - forthcoming - European Journal for Philosophy of Science.
    The paper offers an argument against an intuitive reading of the Stone-von Neumann theorem as a categoricity result, thereby pointing out that, against what is usually taken to be the case, this theorem does not entail any model-theoretical difference between the theories that validate it and those that don't.
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  3.  26
    Permanence as a Principle of Practice.Iulian D. Toader - forthcoming - Historia Mathematica.
    The paper discusses Peano's argument for preserving familiar notations. The argument reinforces the principle of permanence, articulated in the early 19th century by Peacock, then adjusted by Hankel and adopted by many others. Typically regarded as a principle of theoretical rationality, permanence was understood by Peano, following Mach, and against Schubert, as a principle of practical rationality. The paper considers how permanence, thus understood, was used in justifying Burali-Forti and Marcolongo's notation for vectorial calculus, and in rejecting Frege's logical notation, (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  4.  30
    Categoricity and Possibility. A Note on Williamson's Modal Monism.Iulian D. Toader - 2020 - In The Logica Yearbook 2019. London: College Publications. pp. 221-231.
    The paper sketches an argument against modal monism, more specifically against the reduction of physical possibility to metaphysical possibility. The argument is based on the non-categoricity of quantum logic.
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  5. Categoricity and Negation. A Note on Kripke’s Affirmativism.Constantin C. Brîncuș & Iulian D. Toader - 2019 - In The Logica Yearbook 2018. London: College Publications. pp. 57-66.
    We argue that, if taken seriously, Kripke's view that a language for science can dispense with a negation operator is to be rejected. Part of the argument is a proof that positive logic, i.e., classical propositional logic without negation, is not categorical.
    Download  
     
    Export citation  
     
    Bookmark  
  6. Objectivity Sans Intelligibility. Hermann Weyl's Symbolic Constructivism.Iulian D. Toader - 2011 - Dissertation, University of Notre Dame
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  7. 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  
  8. Is Mathematics the Theory of Instantiated Structural Universals?Iulian D. Toader - 2013 - Transylvanian Review 22:132-142.
    This paper rejects metaphysical realism about instantiated structural universals as a basis for mathematical realism about numbers. After considering several responses to Lewis’s criticism of Armstrong’s theory of structural properties, it argues that one possible construal of structural universals via non-well-founded sets should be resisted by the mathematical realist.
    Download  
     
    Export citation  
     
    Bookmark  
  9.  83
    Fictionalism and Mathematical Objectivity.Iulian D. Toader - 2012 - In Metaphysics and Science. University of Bucharest Press. pp. 137-158.
    This paper, written in Romanian, compares fictionalism, nominalism, and neo-Meinongianism as responses to the problem of objectivity in mathematics, and then motivates a fictionalist view of objectivity as invariance.
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark