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  1. Are quantum particles objects?Simon Saunders - 2006 - Analysis 66 (1):52-63.
    Particle indistinguishability has always been considered a purely quantum mechanical concept. In parallel, indistinguishable particles have been thought to be entities that are not properly speaking objects at all. I argue, to the contrary, that the concept can equally be applied to classical particles, and that in either case particles may (with certain exceptions) be counted as objects even though they are indistinguishable. The exceptions are elementary bosons (for example photons).
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  • Logique mathématique et philosophie des mathématiques.Yvon Gauthier - 1971 - Dialogue 10 (2):243-275.
    Pour le philosophe intéressé aux structures et aux fondements du savoir théorétique, à la constitution d'une « méta-théorétique «, θεωρíα., qui, mieux que les « Wissenschaftslehre » fichtéenne ou husserlienne et par-delà les débris de la métaphysique, veut dans une intention nouvelle faire la synthèse du « théorétique », la logique mathématique se révèle un objet privilégié.
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  • Logically possible machines.Eric Steinhart - 2002 - Minds and Machines 12 (2):259-280.
    I use modal logic and transfinite set-theory to define metaphysical foundations for a general theory of computation. A possible universe is a certain kind of situation; a situation is a set of facts. An algorithm is a certain kind of inductively defined property. A machine is a series of situations that instantiates an algorithm in a certain way. There are finite as well as transfinite algorithms and machines of any degree of complexity (e.g., Turing and super-Turing machines and more). There (...)
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  • (1 other version)Categories in context: Historical, foundational, and philosophical.Elaine Landry & Jean-Pierre Marquis - 2005 - Philosophia Mathematica 13 (1):1-43.
    The aim of this paper is to put into context the historical, foundational and philosophical significance of category theory. We use our historical investigation to inform the various category-theoretic foundational debates and to point to some common elements found among those who advocate adopting a foundational stance. We then use these elements to argue for the philosophical position that category theory provides a framework for an algebraic in re interpretation of mathematical structuralism. In each context, what we aim to show (...)
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  • (1 other version)Intrinsic local distances: a mixed solution to Weyl’s tile argument.Lu Chen - 2019 - Synthese:1-20.
    Weyl's tile argument purports to show that there are no natural distance functions in atomistic space that approximate Euclidean geometry. I advance a response to this argument that relies on a new account of distance in atomistic space, called "the mixed account," according to which local distances are primitive and other distances are derived from them. Under this account, atomistic space can approximate Euclidean space (and continuous space in general) very well. To motivate this account as a genuine solution to (...)
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  • Mathematical Abstraction, Conceptual Variation and Identity.Jean-Pierre Marquis - 2014 - In Peter Schroeder-Heister, Gerhard Heinzmann, Wilfred Hodges & Pierre Edouard Bour (eds.), Logic, Methodology and Philosophy of Science, Proceedings of the 14th International Congress. London, UK: pp. 299-322.
    One of the key features of modern mathematics is the adoption of the abstract method. Our goal in this paper is to propose an explication of that method that is rooted in the history of the subject.
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  • On stance and rationality.Bas C. van Fraassen - 2011 - Synthese 178 (1):155 - 169.
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  • Russell and the Newman Problem Revisited.Marc Champagne - 2012 - Analysis and Metaphysics 11:65 - 74.
    In his 1927 Analysis of Matter and elsewhere, Russell argued that we can successfully infer the structure of the external world from that of our explanatory schemes. While nothing guarantees that the intrinsic qualities of experiences are shared by their objects, he held that the relations tying together those relata perforce mirror relations that actually obtain (these being expressible in the formal idiom of the Principia Mathematica). This claim was subsequently criticized by the Cambridge mathematician Max Newman as true but (...)
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  • Replies to Deng, Lee, and Skow.Simon Prosser - 2018 - Inquiry: An Interdisciplinary Journal of Philosophy 61 (3):328-350.
    This paper is a contribution to a book symposium on my book Experiencing Time. I reply to comments on the book by Natalja Deng, Geoffrey Lee and Bradford Skow. Although several chapters of the book are discussed, the main focus of my reply is on Chapters 2 and 6. In Chapter 2 I argue that the putative mind-independent passage of time could not be experienced, and from this I develop an argument against the A-theory of time. In Chapter 6 I (...)
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  • Structures in Real Theory Application: A Study in Feasible Epistemology.Robert H. C. Moir - 2013 - Dissertation, University of Western Ontario
    This thesis considers the following problem: What methods should the epistemology of science use to gain insight into the structure and behaviour of scientific knowledge and method in actual scientific practice? After arguing that the elucidation of epistemological and methodological phenomena in science requires a method that is rooted in formal methods, I consider two alternative methods for epistemology of science. One approach is the classical approaches of the syntactic and semantic views of theories. I show that typical approaches of (...)
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  • (1 other version)Talking at Cross-Purposes. How Einstein and Logical Empiricists never Agreed on what they were Discussing about.Marco Giovanelli - unknown
    By inserting the dialogue between Einstein, Schlick and Reichenbach in a wider network of debates about the epistemology of geometry, the paper shows, that not only Einstein and Logical Empiricists came to disagree about the role, principled or provisional, played by rods and clocks in General Relativity, but they actually, in their life-long interchange, never clearly identified the problem they were discussing. Einstein’s reflections on geometry can be understood only in the context of his “measuring rod objection” against Weyl. Logical (...)
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  • Mechanism and vitalism. A history of the controversy.Geert Jan M. De Klerk - 1979 - Acta Biotheoretica 28 (1):1-10.
    This is an attempt to interpret the history of mechanism vs. vitalism in relation to the changing framework of culture and to show the interrelation between both these views and experimental science. After the scientific revolution of the seventeenth century, causal mechanism of classical physics provided the framework for the study of nature. The teleological and holistic properties of life, however, which are incompatible with this theory yielded — as a result both of internal developments within biology and of a (...)
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  • Discerning Fermions.Simon Saunders & F. A. Muller - 2008 - British Journal for the Philosophy of Science 59 (3):499 - 548.
    We demonstrate that the quantum-mechanical description of composite physical systems of an arbitrary number of similar fermions in all their admissible states, mixed or pure, for all finite-dimensional Hilbert spaces, is not in conflict with Leibniz's Principle of the Identity of Indiscernibles (PII). We discern the fermions by means of physically meaningful, permutation-invariant categorical relations, i.e. relations independent of the quantum-mechanical probabilities. If, indeed, probabilistic relations are permitted as well, we argue that similar bosons can also be discerned in all (...)
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  • The Logos Categorical Approach to Quantum Mechanics: I. Kochen-Specker Contextuality and Global Intensive Valuations.Christian de Ronde & Cesar Massri - unknown
    In this paper we present a new categorical approach which attempts to provide an original understanding of QM. Our logos categorical approach attempts to consider the main features of the quantum formalism as the standpoint to develop a conceptual representation that explains what the theory is really talking about —rather than as problems that need to be bypassed in order to allow a restoration of a classical “common sense” understanding of what there is. In particular, we discuss a solution to (...)
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  • Do simple infinitesimal parts solve Zeno’s paradox of measure?Lu Chen - 2019 - Synthese 198 (5):4441-4456.
    In this paper, I develop an original view of the structure of space—called infinitesimal atomism—as a reply to Zeno’s paradox of measure. According to this view, space is composed of ultimate parts with infinitesimal size, where infinitesimals are understood within the framework of Robinson’s nonstandard analysis. Notably, this view satisfies a version of additivity: for every region that has a size, its size is the sum of the sizes of its disjoint parts. In particular, the size of a finite region (...)
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  • Some problems concerning language and physics.Adonai Sant’Anna & Gabriel Guerrer - 2007 - Synthese 154 (3):467-484.
    We discuss three problems concerning the use of formal languages in theoretical physics: (i) the definability of time and spacetime in classical physical theories; (ii) how to cope with indistinguishable elementary particles in quantum mechanics without labeling them; and (iii) how to get a formal picture of quantum states jumping.
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  • 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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  • Hermann Weyl on Minkowskian Space–Time and Riemannian Geometry.Yvon Gauthier - 2005 - International Studies in the Philosophy of Science 19 (3):261 – 269.
    Hermann Weyl as a founding father of field theory in relativistic physics and quantum theory always stressed the internal logic of mathematical and physical theories. In line with his stance in the foundations of mathematics, Weyl advocated a constructivist approach in physics and geometry. An attempt is made here to present a unified picture of Weyl's conception of space-time theories from Riemann to Minkowski. The emphasis is on the mathematical foundations of physics and the foundational significance of a constructivist philosophical (...)
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  • Heisenberg and the transformation of Kantian philosophy.Kristian Camilleri - 2005 - International Studies in the Philosophy of Science 19 (3):271 – 287.
    In this paper, I argue that Heisenberg's mature philosophy of quantum mechanics must be understood in the context of his epistemological project to reinterpret and redefine Kant's notion of the a priori. After discussions with Weizsäcker and Hermann in Leipzig in the 1930s, Heisenberg attempted to ground his interpretation of quantum mechanics on what might be termed a 'practical' transformation of Kantian philosophy. Taking as his starting point, Bohr's doctrine of the indispensability of classical concepts, Heisenberg argued that concepts such (...)
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  • Taking Mermin's Relational Interpretation of QM Beyond Cabello's and Seevinck's No-Go Theorems.Christian de Ronde, Raimundo Fernández Mouján & Massri Cesar - unknown
    In this paper we address a deeply interesting debate that took place at the end of the last millennia between David Mermin, Adan Cabello and Michiel Seevinck, regarding the meaning of relationalism within quantum theory. In a series of papers, Mermin proposed an interpretation in which quantum correlations were considered as elements of physical reality. Unfortunately, the very young relational proposal by Mermin was too soon tackled by specially suited no-go theorems designed by Cabello and Seevinck. In this work we (...)
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  • Leibniz Equivalence. On Leibniz's Influence on the Logical Empiricist Interpretation of General Relativity.Marco Giovanelli - unknown
    Einstein’s “point-coincidence argument'” as a response to the “hole argument” is usually considered as an expression of “Leibniz equivalence,” a restatement of indiscernibility in the sense of Leibniz. Through a historical-critical analysis of Logical Empiricists' interpretation of General Relativity, the paper attempts to show that this labeling is misleading. Logical Empiricists tried explicitly to understand the point-coincidence argument as an indiscernibility argument of the Leibnizian kind, such as those formulated in the 19th century debate about geometry, by authors such as (...)
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  • Absoliutizmo ir Reliacionizmo kontroversija: Newtonas vs. Leibnizas.Jonas Čiurlionis - 2016 - Problemos 90:126-136.
    Straipsnyje nagrinėjama absoliutistinės ir reliacionistinės erdvės ir laiko koncepcijų kontroversija. Lyginamos Newtono ir Leibnizo teorijos, pateikiami kitų diskusijoje dalyvavusių filosofų požiūriai. Atskleidžiami abiejų teorijų argumentacijų trūkumai ir privalumai. Straipsniu nesiekiama atstovauti kuriai nors pozicijai, lyginamoji abiejų požiūrių analizė leidžia skaitytojui susidaryti nešališką vertinimą. Teigiama, kad abiejų erdvės ir laiko sampratų prielaidos yra greičiau metafizinės nei fizikinės. Nurodoma, kad klasikinė diskusija yra vis dar aktuali šiuolaikiniame moksliniame kontekste.
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  • The perils of Perrin, in the hands of philosophers.Bas C. van Fraassen - 2009 - Philosophical Studies 143 (1):5 - 24.
    The story of how Perrin’s experimental work established the reality of atoms and molecules has been a staple in (realist) philosophy of science writings (Wesley Salmon, Clark Glymour, Peter Achinstein, Penelope Maddy, …). I’ll argue that how this story is told distorts both what the work was and its significance, and draw morals for the understanding of how theories can be or fail to be empirically grounded.
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  • Symmetry, structure, and the constitution of objects.Steven French - 2001 - PhilSci Archive.
    In this paper I focus on the impact on structuralism of the quantum treatment of objects in terms of symmetry groups and, in particular, on the question as to how we might eliminate, or better, reconceptualise such objects in structural terms. With regard to the former, both Cassirer and Eddington not only explicitly and famously tied their structuralism to the development of group theory but also drew on the quantum treatment in order to further their structuralist aims and here I (...)
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  • Rota on Mathematical Identity: Crossing Roads with Husserl and Frege.Demetra Christopoulou - 2019 - Axiomathes 29 (4):383-396.
    In this paper I address G. C. Rota’s account of mathematical identity and I attempt to relate it with aspects of Frege as well as Husserl’s views on the issue. After a brief presentation of Rota’s distinction among mathematical facts and mathematical proofs, I highlight the phenomenological background of Rota’s claim that mathematical objects retain their identity through different kinds of axiomatization. In particular, I deal with Rota’s interpretation of the ontological status of mathematical objects in terms of ideality. Then (...)
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  • Einstein, Meyerson and the role of mathematics in physical discovery.Elie Zahar - 1980 - British Journal for the Philosophy of Science 31 (1):1-43.
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