36 found
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  1. 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 of forms as a principle of practice. Dedicated to the memory of Mic Detlefsen.
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  2. Einstein Completeness as Categoricity.Iulian D. Toader - 2023 - Foundations of Physics 53 (2):1-15.
    This paper provides an algebraic reconstruction of Einstein’s argument for the incompleteness of quantum mechanics, in order to clarify the assumptions that underlie an understanding of Einstein completeness as categoricity.
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  3. On the Categoricity of Quantum Mechanics.Iulian D. Toader - 2021 - European Journal for Philosophy of Science 11 (1):1-14.
    The paper argues 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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  4. Structural Realism and the Problem of Inequivalent Representations in Quantum Field Theory.Iulian D. Toader - manuscript
    This unpublished paper, written in 2005 in the PhD philosophy program at Notre Dame, argues that algebraic structural realism faces a difficulty raised by the existence of inequivalent representations in quantum field theory.
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  5.  71
    Quantum Mechanics as a Carnapian Language.Iulian D. Toader - manuscript
    The paper discusses Carnap's claim that a proper philosophical analysis of quantum mechanics, including a determination of whether its logic has to be revised, requires rational reconstruction, and considers the possibility of formulating quantum mechanics as a Carnapian language with an inferentialist semantics.
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  6. “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 if 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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  7. 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.
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  8.  75
    Is Bohr’s Correspondence Principle just Hankel’s Principle of Permanence?Iulian D. Toader - 2024 - Studies in History and Philosophy of Science 103 (C):137-145.
    No, but the paper argues that Bohr understood his correspondence principle, or at least an aspect of that principle expressed by the notion of rational generalization, as grounded in Hankel’s principle of permanence.
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  9. Carnap on Quantum Mechanics.Sebastian Horvat & Iulian D. Toader - forthcoming - In Christian Damboeck & Georg Schiemer (eds.), The Carnap Handbook. J. B. Metzler.
    This entry reviews Rudolf Carnap's philosophical views on the quantum mechanics of his time. It also offers some thoughts on how Carnap might have reacted to some recent developments in the foundations of quantum mechanics.
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  10.  43
    Quantum logic and meaning.Sebastian Horvat & Iulian D. Toader - manuscript
    This paper gives a formulation of quantum logic in the abstract algebraic setting laid out by Dunn and Hardegree (2001). On this basis, it provides a comparative analysis of viable quantum logical bivalent semantics and their classical counterparts, thereby showing that the truth-functional status of classical and quantum connectives is not as different as usually thought. Then it points out that bivalent semantics for quantum logic - compatible with realism about quantum mechanics - can be maintained, albeit at the price (...)
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  11. Categoricity and Negation. A Note on Kripke’s Affirmativism.Constantin C. Brîncuș & Iulian D. Toader - 2019 - In Igor Sedlár & Martin Blicha (eds.), The Logica Yearbook 2018. 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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  12. 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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  13. 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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  14.  52
    An Alleged Tension between non-Classical Logics and Applied Classical Mathematics.Sebastian Horvat & Iulian D. Toader - 2024 - The Philosophical Quarterly 1:1-19.
    Timothy Williamson has maintained that the applicability of classical mathematics in science raises a problem for the endorsement, in non-mathematical domains, of a wide range of non-classical logics. We show that this is false.
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  15.  95
    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 this was what he thought was enough for rejecting pure phenomenology as well.
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  16. Against Harmony: Infinite Idealizations and Causal Explanation.Iulian D. Toader - 2015 - In Ilie Parvu, Gabriel Sandu & Iulian D. Toader (eds.), Romanian Studies in Philosophy of Science. Boston Studies in the Philosophy and History of Science, vol. 313: Springer. 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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  17. Categoricity and Possibility. A Note on Williamson's Modal Monism.Iulian D. Toader - 2020 - In Martin Blicha & Igor Sedlar (eds.), The Logica Yearbook 2019. 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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  18. Physical Order and the Existence of God.Iulian D. Toader - 2013 - In Balan Marin (ed.), 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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  19. 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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  20. 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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  21. Fictionalism and Mathematical Objectivity.Iulian D. Toader - 2012 - In Mircea Dumitru, Mircea Flonta & Valentin Muresan (eds.), Metaphysics and Science. Dedicated to professor Ilie Pârvu. Universty 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. Varieties of Humeanism: an introduction.László Kocsis, Tamás Demeter & Iulian D. Toader - 2021 - Synthese 199 (Humeanisms):15069-15086.
  23. 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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  24.  89
    Talking Past Each Other: Mach and Husserl on Thought Economy.Iulian D. Toader - 2019 - In Friedrich Stadler (ed.), 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. The distinction is further supported by their correspondingly different readings of the principle of permanence.
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  25. Why Did Weyl Think that Dedekind’s Norm of Belief in Mathematics is Perverse?Iulian D. Toader - 2016 - In Sorin Costreie (ed.), Early Analytic Philosophy – New Perspectives on the Tradition. Cham, Switzerland: Springer Verlag. 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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  26. 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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  27.  96
    Talking past each other: Mach and Husserl on thought economy.Iulian D. Toader - 2019 - In Toader Iulian D. (ed.), Ernst Mach: Life, Work, and Influence. Vienna Circle Institute Yearbook. pp. 213-221.
    This note revisits the debate between Mach and Husserl on thought economy and argues that, to a considerable extent, they talked past each other, insofar as 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 so-called principle of the permanence of forms.
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  28.  93
    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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  29.  49
    Romanian Studies in Philosophy of Science.Ilie Parvu, Gabriel Sandu & Iulian D. Toader (eds.) - 2015 - Boston Studies in the Philosophy and History of Science, vol. 313: Springer.
    This book presents a collection of studies by Romanian philosophers, addressing foundational issues currently debated in contemporary philosophy of science. It offers a historical survey of the tradition of scientific philosophy in Romania. It examines some problems in the foundations of logic, mathematics, linguistics, the natural and social sciences. Among the more specific topics, it discusses scientific explanation, models, and mechanisms, as well as memory, artifacts, and rules of research. The book is useful to those interested in the philosophy of (...)
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  30.  42
    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 in the Aufbau and then explains on that basis why Quine's criticism of Carnap's constitution of physical space fails.
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  31. An Outline of Weylean Skepticism.Iulian D. Toader - 2012 - In Concha Martínez Vidal (ed.), Proceedings of the 7th Conference of the Spanish Society for Logic, Methodology and Philosophy of Science.
    This paper introduces Weylean skepticism, the view that objectivity and intelligibility are opposite ideals of science, explains the motivation for it and the argument that justifies it. The paper indicates also a couple of ways in which this skepticism could be resisted.
     
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  32. 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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  33. 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 the cognitive features that allow us to navigate the physical world.
     
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  34.  51
    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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  35.  62
    On Frege's Logical Diagrams.Iulian D. Toader - 2004 - In A. Blackwell, K. Marriott & A. Shimojima (eds.), Diagrammatic Representation and Inference. Springer. 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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  36. Rules and Meaning in Quantum Mechanics.Iulian D. Toader - manuscript
    This book concerns the metasemantics of quantum mechanics (QM). Roughly, it pursues an investigation at an intersection of the philosophy of physics and the philosophy of semantics, and it offers a critical analysis of rival explanations of the semantic facts of standard QM. Two problems for such explanations are discussed: categoricity and permanence of rules. New results include 1) a reconstruction of Einstein's incompleteness argument, which concludes that a local, separable, and categorical QM cannot exist, 2) a reinterpretation of Bohr's (...)
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