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  1.  37
    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.
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  2.  32
    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, (...)
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  3.  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.
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  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.
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  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.
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  6. 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 revisits the debate between Mach and Husserl on thought economy and argues that the latter rejected thought economy as a principle of theoretical rationality, whereas the former conceived of it as a principle of practical rationality. This is further supported by their correspondingly different readings of the principle of permanence.
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  7.  77
    “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 discusses Weylean invariantism, the view that scientific objectivity requires categoricity, and shows that it may correctly be attributed to Weyl, who took this condition to express a type of theoretical completeness. The condition appears to be satisfied by quantum mechanics, for the Stone-von Neumann theorem can be naturally interpreted as a categoricity result. However, quantum field theory invalidates the theorem due to unitary inequivalence, so either Weylean invariantism is false and should be rejected, or categoricity can be established (...)
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  8.  78
    Spacetime Singularities and Invariance.O. Cristinel Stoica & Iulian D. Toader - 2016 - Belgrade Philosophical Annual 29:67-78.
    This paper discusses a novel approach to singularities, based on a recent extension of general relativity that shows why singularities do not constitute a breakdown of physical laws: it is not only the case that physical laws are valid, but they also remain invariant at singularities. The paper describes this kind of invariance, and draws its consequences for our understanding of equivalence in general relativity. In particular, it points out that the difference between the metrics at singularities and those outside (...)
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  9. 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 discusses an intriguing, though rather overlooked case of normative disagreement in the history of philosophy of mathematics: Weyl's criticism of Dedekind’s famous principle that "In science, what is provable ought not to be believed without proof." This criticism, as I see it, 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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  10.  13
    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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  11. 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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  12.  71
    Editorial: New Perspectives in the Philosophy of Physics.Iulian D. Toader - 2015 - Foundations of Physics 45 (9):1.
    This contains brief summaries of the papers collected in the special issue, authored by Carsten Held, Elise Crull, Johanna Wolff, Elay Shech, Richard Dawid, and Gábor Hofer-Szabó.
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  13.  30
    New Perspectives in the Philosophy of Physics.Iulian D. Toader (ed.) - 2015 - Foundations of Physics.
    This special issue includes several papers authored by Carsten Held, Elise Crull, Johanna Wolff, Elay Shech, Richard Dawid, and Gábor Hofer-Szabó.
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  14. 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 epistemological 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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  15.  55
    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.
    It has been contended that it is unjustified to believe, as Weyl did, that formalism's victory against intuitionism entails a defeat of the phenomenological approach to mathematics. The reason for this contention is that, unlike intuitionistic Anschauung, phenomenological intuition could ground classical mathematics. Against this, I argue that Weyl did not take formalism to prevail over intuitionism with respect to grounding classical mathematics, and that if intuitionism fails in the way he thought it did, i.e., with respect to supporting scientific (...)
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  16.  64
    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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  17.  91
    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, and more particularly the connection between objectivity and evidence (understood in a Husserlian sense as a satisfaction of meaning intentions).
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  18. 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.
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  19. 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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  20. 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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  21.  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.
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  22. Objectivity Sans Intelligibility. Hermann Weyl's Symbolic Constructivism.Iulian D. Toader - 2011 - Dissertation, University of Notre Dame
  23.  73
    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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  24.  37
    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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  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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