26 found
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  1. On the categoricity of quantum mechanics.Iulian D. Toader - 2021 - European Journal for Philosophy of Science 11 (1):1-14.
    The paper offers an argument against an intuitive reading of the Stone-von Neumann theorem as a categoricity result, thereby pointing out that this theorem does not entail any model-theoretical difference between the theories that validate it and those that don't.
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  2. Permanence as a Principle of Practice.Iulian D. Toader - 2021 - Historia Mathematica 54:77-94.
    The paper discusses Peano's defense and application of permanence as a principle of practice, and Hahn's further point that, even if it were a principle of logic, permanence would not eliminate all logical ambiguity. Dedicated to the memory of Mic Detlefsen.
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  3. Objectivity Sans Intelligibility. Hermann Weyl's Symbolic Constructivism.Iulian D. Toader - 2011 - Dissertation, University of Notre Dame
    A new form of skepticism is described, which holds that objectivity and understanding are incompossible ideals of modern science. This is attributed to Weyl, hence its name: Weylean skepticism. Two general defeat strategies are then proposed, one of which is rejected as a failure.
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  4.  81
    “Above the Slough of Despond”: Weylean Invariantism and Quantum Physics.Iulian D. Toader - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 61:18-24.
    This paper considers Weylean invariantism, i.e., the view that objectivity requires categoricity, and argues that since the Stone-von Neumann theorem can be naturally interpreted as a categoricity result, the view is falsified by quantum field theory.
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  5.  99
    Concept Formation and Scientific Objectivity: Weyl’s Turn Against Husserl.Iulian D. Toader - 2013 - Hopos: The Journal of the International Society for the History of Philosophy of Science 3 (2):281-305.
    This paper argues that Weyl's view that scientific objectivity requires that concepts be freely created, i.e., introduced via Hilbert-style axiomatizations, led him to abandon the phenomenological view of objectivity.
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  6. Why Did Weyl Think That Emmy Noether Made Algebra the Eldorado of Axiomatics?Iulian D. Toader - 2021 - Hopos: The Journal of the International Society for the History of Philosophy of Science 11 (1):122-142.
    This paper argues that Noether's axiomatic method in algebra cannot be assimilated to Weyl's late view on axiomatics, for his acquiescence to a phenomenological epistemology of correctness led Weyl to resist Noether's principle of detachment.
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  7. Objectivity and Understanding: A New Reading of Carnap’s Aufbau.Iulian D. Toader - 2015 - Synthese 192 (5):1543-1557.
    This paper argues that Carnap's project in the Aufbau is best considered as an attempt to determine the conditions for both objectivity and understanding, thus aiming at refuting the skeptical contention that objectivity and understanding are incompossible ideals of science.
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  8. Against Harmony: Infinite Idealizations and Causal Explanation.Iulian D. Toader - 2015 - In Romanian Studies in Philosophy of Science. Boston Studies in the Philosophy and History of Science, vol. 313,. pp. 291-301.
    This paper argues against the view that the standard explanation of phase transitions in statistical mechanics may be considered a causal explanation, a distortion that can nevertheless successfully represent causal relations.
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  9.  66
    Why Did Weyl Think That Formalism's Victory Against Intuitionism Entails a Defeat of Pure Phenomenology?Iulian D. Toader - 2014 - History and Philosophy of Logic 35 (2):198-208.
    This paper argues that Weyl took formalism to prevail over intuitionism with respect to supporting scientific objectivity, rather than grounding classical mathematics, and that he thought this was enough for rejecting pure phenomenology as well.
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  10.  26
    Varieties of Humeanism: An Introduction.László Kocsis, Tamás Demeter & Iulian D. Toader - 2021 - Synthese 199 (Humeanisms):15069-15086.
  11. A Carnapian Approach to Counterexamples to Modus Ponens.Constantin C. Brîncuș & Iulian D. Toader - 2013 - Romanian Journal of Analytic Philosophy 7:78-85.
    This paper attempts to motivate the view that instead of rejecting modus ponens as invalid in certain situations, one could preserve its validity by associating such situations with non-normal interpretations of logical connectives.
     
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  12. 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.
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  13. 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.
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  14.  99
    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.
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  15. Talking Past Each Other: Mach and Husserl on Thought Economy.Iulian D. Toader - 2019 - In Ernst Mach – Life, Work, Influence. Springer Verlag. pp. 213-221.
    This paper argues that whereas Mach understood thought economy as a principle of practical rationality, Husserl rejected it as a principle of theoretical rationality, which is further supported by their correspondingly different readings of the principle of permanence.
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  16. 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.
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  17. Is Mathematics the Theory of Instantiated Structural Universals?Iulian D. Toader - 2013 - Transylvanian Review 22:132-142.
    This paper rejects metaphysical realism about structural universals as a basis for mathematical realism about numbers, and argues that one construal of structural universals via non-well-founded sets should be resisted by the mathematical realist.
     
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  18.  80
    Spacetime Singularities and Invariance.O. Cristinel Stoica & Iulian D. Toader - 2016 - Belgrade Philosophical Annual 29:67-78.
    This paper explains why spacetime singularities do not constitute a breakdown of physical laws, and points out that the difference between the metrics at singularities and those outside of singularities is factual, rather than nomological.
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  19. Why Did Weyl Think That Dedekind’s Norm of Belief in Mathematics is Perverse?Iulian D. Toader - 2016 - In Early Analytic Philosophy – New Perspectives on the Tradition. The Western Ontario Series in Philosophy of Science, vol. 80,. pp. 445-451.
    This paper argues that Weyl's criticism of Dedekind’s principle that "In science, what is provable ought not to be believed without proof." challenges not only a logicist norm of belief in mathematics, but also a realist view about whether there is a fact of the matter as to what norms of belief are correct.
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  20.  73
    Editorial: New Perspectives in the Philosophy of Physics.Iulian D. Toader - 2015 - Foundations of Physics 45 (9):1.
    A one-page editorial including one-sentence summaries of papers authored by Carsten Held, Elise Crull, Johanna Wolff, Elay Shech, Richard Dawid, and Gábor Hofer-Szabó.
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  21.  75
    A Diagrammatic Reconstruction of Carnap's Quasianalysis.Iulian D. Toader - 2004 - Synthese 142 (1):43-59.
    This paper proposes a diagrammatic reconstruction of Carnap's formal method of quasianalysis, then it explains on that basis why Quine's criticism of Carnap's constitution of physical space fails, and finally sketches a system designed to construct qualities in continuous domains.
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  22.  15
    Romanian Studies in Philosophy of Science.Ilie Pȃrvu, Gabriel Sandu & Iulian D. Toader (eds.) - 2015 - Boston Studies in the Philosophy and History of Science, vol. 313: Springer.
    This is a collection of studies by contemporary Romanian philosophers of science. As it happens, it ruffled a lot of feathers, to the extent that the book is largely ignored in Romania, although it does quite well internationally, with some really good citations. Check it out!
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  23. Logic and its Philosophy.Iulian D. Toader & G. Stefanov (eds.) - 2013 - Romanian Journal of Analytic Philosophy.
    This a special issue collecting papers on the philosophy of logic, written by some young Romanian philosophers, on a variety of topics like the grammar of first-order logic and the axiomatization of evolutionary biology.
     
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  24.  30
    New Perspectives in the Philosophy of Physics.Iulian D. Toader (ed.) - 2015 - Foundations of Physics.
    This special issue includes papers authored by Carsten Held, Elise Crull, Johanna Wolff, Elay Shech, Richard Dawid, and Gábor Hofer-Szabó.
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  25. Mathematical Diagrams in Practice: An Evolutionary Account.Iulian D. Toader - 2002 - Logique Et Analyse 179:341-355.
    This paper analyzes some examples of diagrammatic proofs in elementary mathematics. It suggests that the cognitive features that allow us to understand such proofs are extensions of those responsible for our navigating the physical world.
     
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  26.  43
    On Frege's Logical Diagrams.Iulian D. Toader - 2004 - In Diagrammatic Representation and Inference. Springer: Lecture Notes in Computer Science, vol. 2980,. pp. 22-25.
    This paper argues that a particular point raised by Schröder – that Frege's logical notation fails to be modelled on arithmetical notation – is based on a misunderstanding, for the modelling was meant as conceptual, rather than notational.
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