Results for 'Structuralism'

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  1.  14
    Space, Structuralism, and Skepticism.Jonathan Vogel - 2019 - Oxford Studies in Epistemology 6.
    The chapter takes structuralism to be the thesis that if F and G are alike causally, then F and G are the same property. It follows that our beliefs about the world can be true in various brain-in-a-vat scenarios, giving us refuge from skeptical arguments. The trouble is that structuralism doesn’t do justice to certain metaphysical aspects of property identity having to do with fundamentality, intrinsicality, and the unity of the world. A closely related point is that the (...)
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  2. Structuralism and the Notion of Dependence.Øystein Linnebo - 2008 - Philosophical Quarterly 58 (230):59-79.
    This paper has two goals. The first goal is to show that the structuralists’ claims about dependence are more significant to their view than is generally recognized. I argue that these dependence claims play an essential role in the most interesting and plausible characterization of this brand of structuralism. The second goal is to defend a compromise view concerning the dependence relations that obtain between mathematical objects. Two extreme views have tended to dominate the debate, namely the view that (...)
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  3.  18
    Structuralism.Jean Piaget - 1970 - New York: Basic Books.
  4. The Structuralist View of Mathematical Objects.Charles Parsons - 1990 - Synthese 84 (3):303 - 346.
  5.  91
    The Structuralist View of Theories: A Possible Analogue of the Bourbaki Programme in Physical Science.Wolfgang Stegmüller - 1979 - Springer Verlag.
    This is the basis of the first part of the book.
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  6. Realistic Structuralism's Identity Crisis: A Hybrid Solution.Tim Button - 2006 - Analysis 66 (3):216–222.
    Keränen (2001) raises an argument against realistic (ante rem) structuralism: where a mathematical structure has a non-trivial automorphism, distinct indiscernible positions within the structure cannot be shown to be non-identical using only the properties and relations of that structure. Ladyman (2005) responds by allowing our identity criterion to include 'irreflexive two-place relations'. I note that this does not solve the problem for structures with indistinguishable positions, i.e. positions that have all the same properties as each other and exactly the (...)
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  7.  4
    Post-Structuralism and the Trinity: A Reading of The Brand New Testament.Anné H. Verhoef - 2019 - Hts Theological Studies 75 (1).
    From a post-structuralist position, it is problematic and seemingly impossible to refer to God as the Trinity. This article describes possibilities for thinking about the Trinity within a post-structuralist context. As an example of such thinking, the 2015 culture-critique film, The Brand New Testament, will be analysed. It is a creative retelling of the Christian story and of the Trinity in a secular and post-metaphysical vein. This ‘Brand New Testament’ reveals God as ‘one’ – as the encompassing love, hope and (...)
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  8.  94
    Structuralism with and Without Causation.Juha Saatsi - 2017 - Synthese 194 (7):2255-2271.
    This paper explores the status of causation in structuralist metaphysics of physics. What role (if any) does causation play in understanding ‘structure’ in ontological structural realism? I address this question by examining, in a structuralist setting, arguments for and against the idea that fundamental physics deals, perhaps exclusively, with causal properties. I will argue (against Esfeld, Dorato and others) that a structuralist interpretation of fundamental physics should diverge from ‘causal structuralism’. Nevertheless, causation outside fundamental physics, and the basic motivation (...)
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  9. Logical Structuralism and Benacerraf’s Problem.Audrey Yap - 2009 - Synthese 171 (1):157-173.
    There are two general questions which many views in the philosophy of mathematics can be seen as addressing: what are mathematical objects, and how do we have knowledge of them? Naturally, the answers given to these questions are linked, since whatever account we give of how we have knowledge of mathematical objects surely has to take into account what sorts of things we claim they are; conversely, whatever account we give of the nature of mathematical objects must be accompanied by (...)
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  10. Structuralism as a Response to Skepticism.David J. Chalmers - 2018 - Journal of Philosophy 115 (12):625-660.
    Cartesian arguments for global skepticism about the external world start from the premise that we cannot know that we are not in a Cartesian scenario such as an evil-demon scenario, and infer that because most of our empirical beliefs are false in such a scenario, these beliefs do not constitute knowledge. Veridicalist responses to global skepticism respond that arguments fail because in Cartesian scenarios, many or most of our empirical beliefs are true. Some veridicalist responses have been motivated using verificationism, (...)
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  11. The Structuralist Conception of Objects.Anjan Chakravartty - 2003 - Philosophy of Science 70 (5):867-878.
    This paper explores the consequences of the two most prominent forms of contemporary structural realism for the notion of objecthood. Epistemic structuralists hold that we can know structural aspects of reality, but nothing about the natures of unobservable relata whose relations define structures. Ontic structuralists hold that we can know structural aspects of reality, and that there is nothing else to know—objects are useful heuristic posits, but are ultimately ontologically dispensable. I argue that structuralism does not succeed in ridding (...)
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  12. Structuralism and Since: From Lévi-Strauss to Derrida.John Sturrock (ed.) - 1979 - Oxford University Press.
  13.  75
    Univalent Foundations as Structuralist Foundations.Dimitris Tsementzis - 2017 - Synthese 194 (9):3583-3617.
    The Univalent Foundations of Mathematics provide not only an entirely non-Cantorian conception of the basic objects of mathematics but also a novel account of how foundations ought to relate to mathematical practice. In this paper, I intend to answer the question: In what way is UF a new foundation of mathematics? I will begin by connecting UF to a pragmatist reading of the structuralist thesis in the philosophy of mathematics, which I will use to define a criterion that a formal (...)
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  14.  70
    Structuralism in the Idiom of Determination.Kerry McKenzie - 2020 - British Journal for the Philosophy of Science 71 (2):497-522.
    Ontic structural realism is a thesis of fundamentality metaphysics: the thesis that structure, not objects, has fundamental status. Claimed as the metaphysic most befitting of modern physics, OSR first emerged as an entreaty to eliminate objects from the metaphysics of fundamental physics. Such elimination was urged by Steven French and James Ladyman on the grounds that only it could resolve the ‘underdetermination of metaphysics by physics’ that they claimed reduced any putative objectual commitment to a merely ‘ersatz’ form of realism. (...)
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  15. Scientific Structuralism: Structuralism(s) About Science: Some Common Problems.Bas C. van Fraassen - 2007 - Aristotelian Society Supplementary Volume 81 (1):45–61.
  16. Scientific Structuralism: Presentation and Representation.Katherine Brading & Elaine Landry - 2006 - Philosophy of Science 73 (5):571-581.
    This paper explores varieties of scientific structuralism. Central to our investigation is the notion of `shared structure'. We begin with a description of mathematical structuralism and use this to point out analogies and disanalogies with scientific structuralism. Our particular focus is the semantic structuralist's attempt to use the notion of shared structure to account for the theory-world connection, this use being crucially important to both the contemporary structural empiricist and realist. We show why minimal scientific structuralism (...)
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  17.  21
    Structuralist Knowledge Representation: Paradigmatic Examples.P. Lorenzano, W. Balzer, C. U. Moulines & J. Sneed - 2000 - In Joseph D. Sneed, Wolfgang Balzer & C.-U. Moulines (eds.), Structuralist Knowledge Representation: Paradigmatic Examples. Rodopi.
    Contents: Foreword. Wolfgang BALZER and C. ULISES MOULINES: Introduction. José A. DÍEZ CALZADA: Structuralist Analysis of Theories of Fundamental Measurement. Adolfo GARCÍA DE LA SIENRA and Pedro REYES: The Theory of Finite Games in Extensive Form. Hans Joachim BURSCHEID und Horst STRUVE: The Theory of Stochastic Fairness - its Historical Development, Formulation and Justification. Wolfgang BALZER and Richard MATTESSICH: Formalizing the Basis of Accounting. Werner DIEDERICH: A Reconstruction of Marxian Economics. Bert HAMMINGA and Wolfgang BALZER: The Basic Structure of Neoclassical (...)
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  18.  17
    Structuralism.Jean Piaget - 1971 - London: Routledge and Kegan Paul.
  19.  7
    Structuralism About Science: Some Common Problems.Bas C. van Fraassen - 2007 - Proceedings of the Aristotelian Society, Supplementary Volumes( 81:45-61.
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  20.  83
    Structuralism and Metaphysics.Charles Parsons - 2004 - Philosophical Quarterly 54 (214):56--77.
    I consider different versions of a structuralist view of mathematical objects, according to which characteristic mathematical objects have no more of a 'nature' than is given by the basic relations of a structure in which they reside. My own version of such a view is non-eliminative in the sense that it does not lead to a programme for eliminating reference to mathematical objects. I reply to criticisms of non-eliminative structuralism recently advanced by Keränen and Hellman. In replying to the (...)
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  21.  31
    A Structuralist Theory of Logic.Arnold Koslow - 1992 - Cambridge University Press.
    In this 1992 book, Professor Koslow advances an account of the basic concepts of logic. A central feature of the theory is that it does not require the elements of logic to be based on a formal language. Rather, it uses a general notion of implication as a way of organizing the formal results of various systems of logic in a simple, but insightful way. The study has four parts. In the first two parts the various sources of the general (...)
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  22. Structuralism as a Form of Scientific Realism.Anjan Chakravartty - 2004 - International Studies in the Philosophy of Science 18 (2 & 3):151 – 171.
    Structural realism has recently re-entered mainstream discussions in the philosophy of science. The central notion of structure, however, is contested by both advocates and critics. This paper briefly reviews currently prominent structuralist accounts en route to proposing a metaphysics of structure that is capable of supporting the epistemic aspirations of realists, and that is immune to the charge most commonly levelled against structuralism. This account provides an alternative to the existing epistemic and ontic forms of the position, incorporating elements (...)
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  23.  64
    Structuralism Reconsidered.Fraser MacBride - 2005 - In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford University Press. pp. 563--589.
    The basic relations and functions that mathematicians use to identify mathematical objects fail to settle whether mathematical objects of one kind are identical to or distinct from objects of an apparently different kind, and what, if any, intrinsic properties mathematical objects possess. According to one influential interpretation of mathematical discourse, this is because the objects under study are themselves incomplete; they are positions or akin to positions in patterns or structures. Two versions of this idea are examined. It is argued (...)
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  24. Structuralism and Its Ontology.Marc Gasser - 2015 - Ergo: An Open Access Journal of Philosophy 2:1-26.
    A prominent version of mathematical structuralism holds that mathematical objects are at bottom nothing but "positions in structures," purely relational entities without any sort of nature independent of the structure to which they belong. Such an ontology is often presented as a response to Benacerraf's "multiple reductions" problem, or motivated on hermeneutic grounds, as a faithful representation of the discourse and practice of mathematics. In this paper I argue that there are serious difficulties with this kind of view: its (...)
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  25. Structuralism.Geoffrey Hellman - manuscript
    With the rise of multiple geometries in the nineteenth century, and in the last century the rise of abstract algebra, of the axiomatic method, the set-theoretic foundations of mathematics, and the influential work of the Bourbaki, certain views called “structuralist” have become commonplace. Mathematics is seen as the investigation, by more or less rigorous deductive means, of “abstract structures”, systems of objects fulfilling certain structural relations among themselves and in relation to other systems, without regard to the particular nature of (...)
     
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  26. Challenging the Spacetime Structuralist.Christian Wuthrich - 2009 - Philosophy of Science 76 (5):1039-1051.
    Structural realist interpretations of generally relativistic spacetimes have recently come to enjoy a remarkable degree of popularity among philosophers. I present a challenge to these structuralist interpretations that arises from considering cosmological models in general relativity. As a consequence of their high degree of spacetime symmetry, these models resist a structuralist interpretation. I then evaluate the various strategies available to the structuralist to react to this challenge. †To contact the author, please write to: Department of Philosophy, 9500 Gilman Drive, 0119, (...)
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  27. Causal Structuralism.John Hawthorne - 2001 - In James Tomberlin (ed.), Metaphysics. Blackwell. pp. 361--78.
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  28.  75
    Structuralism's Unpaid Epistemological Debts.Bob Hale - 1996 - Philosophia Mathematica 4 (2):124--47.
    One kind of structuralism holds that mathematics is about structures, conceived as a type of abstract entity. Another denies that it is about any distinctively mathematical entities at all—even abstract structures; rather it gives purely general information about what holds of any collection of entities conforming to the axioms of the theory. Of these, pure structuralism is most plausibly taken to enjoy significant advantages over platonism. But in what appears to be its most plausible—modalised—version, even restricted to elementary (...)
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  29.  51
    Structuralist Neologicism†.Francesca Boccuni & Jack Woods - 2020 - Philosophia Mathematica 28 (3):296-316.
    ABSTRACT Neofregeanism and structuralism are among the most promising recent approaches to the philosophy of mathematics. Yet both have serious costs. We develop a view, structuralist neologicism, which retains the central advantages of each while avoiding their more serious costs. The key to our approach is using arbitrary reference to explicate how mathematical terms, introduced by abstraction principles, refer. Focusing on numerical terms, this allows us to treat abstraction principles as implicit definitions determining all properties of the numbers, achieving (...)
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  30. Michel Foucault: Beyond Structuralism and Hermeneutics.Hubert L. Dreyfus & Paul Rabinow - 1983 - Routledge.
    This book is the first to provide a sustained, coherent analysis of Foucault's work as a whole. To demonstrate the sense in which Foucault's work is beyond structuralism and hermeneutics, the authors unfold a careful, analytical exposition of his oeuvre. They argue that during the of Foucault's work became a sustained and largely successful effort to develop a new method - "interpretative analytics" - capable of explaining both the logic of structuralism's claim to be an objective science and (...)
     
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  31. Criteria of Identity and Structuralist Ontology.Hannes Leitgeb & James Ladyman - 2008 - Philosophia Mathematica 16 (3):388-396.
    In discussions about whether the Principle of the Identity of Indiscernibles is compatible with structuralist ontologies of mathematics, it is usually assumed that individual objects are subject to criteria of identity which somehow account for the identity of the individuals. Much of this debate concerns structures that admit of non-trivial automorphisms. We consider cases from graph theory that violate even weak formulations of PII. We argue that (i) the identity or difference of places in a structure is not to be (...)
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  32. Structuralism, Invariance, and Univalence.Steve Awodey - 2014 - Philosophia Mathematica 22 (1):1-11.
    The recent discovery of an interpretation of constructive type theory into abstract homotopy theory suggests a new approach to the foundations of mathematics with intrinsic geometric content and a computational implementation. Voevodsky has proposed such a program, including a new axiom with both geometric and logical significance: the Univalence Axiom. It captures the familiar aspect of informal mathematical practice according to which one can identify isomorphic objects. While it is incompatible with conventional foundations, it is a powerful addition to homotopy (...)
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  33.  98
    Computational Structuralism &Dagger.Volker Halbach & Leon Horsten - 2005 - Philosophia Mathematica 13 (2):174-186.
    According to structuralism in philosophy of mathematics, arithmetic is about a single structure. First-order theories are satisfied by models that do not instantiate this structure. Proponents of structuralism have put forward various accounts of how we succeed in fixing one single structure as the intended interpretation of our arithmetical language. We shall look at a proposal that involves Tennenbaum's theorem, which says that any model with addition and multiplication as recursive operations is isomorphic to the standard model of (...)
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  34. Against Structuralist Theories of Computational Implementation.Michael Rescorla - 2013 - British Journal for the Philosophy of Science 64 (4):681-707.
    Under what conditions does a physical system implement or realize a computation? Structuralism about computational implementation, espoused by Chalmers and others, holds that a physical system realizes a computation just in case the system instantiates a pattern of causal organization isomorphic to the computation’s formal structure. I argue against structuralism through counter-examples drawn from computer science. On my opposing view, computational implementation sometimes requires instantiating semantic properties that outstrip any relevant pattern of causal organization. In developing my argument, (...)
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  35. Causal Structuralism, Dispositional Actualism, and Counterfactual Conditionals.Antony Eagle - 2009 - In Toby Handfield (ed.), Dispositions and Causes. Oxford University Press. pp. 65--99.
    Dispositional essentialists are typically committed to two claims: that properties are individuated by their causal role (‘causal structuralism’), and that natural necessity is to be explained by appeal to these causal roles (‘dispositional actualism’). I argue that these two claims cannot be simultaneously maintained; and that the correct response is to deny dispositional actualism. Causal structuralism remains an attractive position, but doesn’t in fact provide much support for dispositional essentialism.
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  36.  63
    A Structuralist Theory of Belief Revision.Holger Andreas - 2011 - Journal of Logic, Language and Information 20 (2):205-232.
    The present paper aims at a synthesis of belief revision theory with the Sneed formalism known as the structuralist theory of science. This synthesis is brought about by a dynamisation of classical structuralism, with an abductive inference rule and base generated revisions in the style of Rott (2001). The formalism of prioritised default logic (PDL) serves as the medium of the synthesis. Why seek to integrate the Sneed formalism into belief revision theory? With the hybrid system of the present (...)
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  37.  46
    Structuralism and Representation Theorems.George Weaver - 1998 - Philosophia Mathematica 6 (3):257-271.
    Much of the inspiration for structuralist approaches to mathematics can be found in the late nineteenth- and early twentieth-century program of characterizing various mathematical systems upto isomorphism. From the perspective of this program, differences between isomorphic systems are irrelevant. It is argued that a different view of the import of the differences between isomorphic systems can be obtained from the perspective of contemporary discussions of representation theorems and that from this perspective both the identification of isomorphic systems and the reduction (...)
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  38. Mathematical Structuralism and the Identity of Indiscernibles.James Ladyman - 2005 - Analysis 65 (3):218–221.
  39.  30
    Structuralism About Scientific Representation.Martin Thomson-Jones - 2011 - In Alisa Bokulich & Peter Bokulich (eds.), Scientific Structuralism. Springer Science+Business Media. pp. 119--141.
  40. Structuralism and the Identity of Indiscernibles.Jeffrey Ketland - 2006 - Analysis 66 (4):303-315.
  41. Structuralism as a Philosophy of Mathematical Practice.Jessica Carter - 2008 - Synthese 163 (2):119 - 131.
    This paper compares the statement ‘Mathematics is the study of structure’ with the actual practice of mathematics. We present two examples from contemporary mathematical practice where the notion of structure plays different roles. In the first case a structure is defined over a certain set. It is argued firstly that this set may not be regarded as a structure and secondly that what is important to mathematical practice is the relation that exists between the structure and the set. In the (...)
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  42.  11
    The Structuralist Thesis Reconsidered.Georg Schiemer & John Wigglesworth - 2019 - British Journal for the Philosophy of Science 70 (4):1201-1226.
    Øystein Linnebo and Richard Pettigrew have recently developed a version of non-eliminative mathematical structuralism based on Fregean abstraction principles. They argue that their theory of abstract structures proves a consistent version of the structuralist thesis that positions in abstract structures only have structural properties. They do this by defining a subset of the properties of positions in structures, so-called fundamental properties, and argue that all fundamental properties of positions are structural. In this article, we argue that the structuralist thesis, (...)
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  43. Scientific Structuralism: On the Identity and Diversity of Objects in a Structure.James Ladyman - 2007 - Aristotelian Society Supplementary Volume 81 (1):23–43.
  44.  22
    The Structuralist Thesis Reconsidered.Georg Schiemer & John Wigglesworth - 2017 - British Journal for the Philosophy of Science:axy004.
    Øystein Linnebo and Richard Pettigrew have recently developed a version of non-eliminative mathematical structuralism based on Fregean abstraction principles. They argue that their theory of abstract structures proves a consistent version of the structuralist thesis that positions in abstract structures only have structural properties. They do this by defining a subset of the properties of positions in structures, so-called fundamental properties, and argue that all fundamental properties of positions are structural. In this paper, we argue that the structuralist thesis, (...)
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  45.  46
    Modal Structuralism and Reflection.Sam Roberts - 2019 - Review of Symbolic Logic 12 (4):823-860.
    Modal structuralism promises an interpretation of set theory that avoids commitment to abstracta. This article investigates its underlying assumptions. In the first part, I start by highlighting some shortcomings of the standard axiomatisation of modal structuralism, and propose a new axiomatisation I call MSST (for Modal Structural Set Theory). The main theorem is that MSST interprets exactly Zermelo set theory plus the claim that every set is in some inaccessible rank of the cumulative hierarchy. In the second part (...)
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  46. Structuralism Without Structures.Hellman Geoffrey - 1996 - Philosophia Mathematica 4 (2):100-123.
    Recent technical developments in the logic of nominalism make it possible to improve and extend significantly the approach to mathematics developed in Mathematics without Numbers. After reviewing the intuitive ideas behind structuralism in general, the modal-structuralist approach as potentially class-free is contrasted broadly with other leading approaches. The machinery of nominalistic ordered pairing (Burgess-Hazen-Lewis) and plural quantification (Boolos) can then be utilized to extend the core systems of modal-structural arithmetic and analysis respectively to full, classical, polyadic third- and fourthorder (...)
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  47.  84
    Metatheoretical Structuralism: A General Program for Analyzing Science. [REVIEW]C. U. Moulines - 2010 - Axiomathes 20 (2-3):255-268.
    In spite of the ‘experimental turn’ now fashionable in the philosophy of science, the question of the structure and identity criteria of scientific theories continues to be a central issue for the philosophical analysis of empirical science. We need a precise metatheory of empirical theories to deal with this issue. Metatheoretical structuralism appears to offer the most adequate approach in this sense so far. First, some basic intuitions about what empirical theories are, and how they are structured, are laid (...)
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  48. Ontic Structuralism and the Symmetries of Particle Physics.Aharon Kantorovich - 2009 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 40 (1):73-84.
    According to structural realism, in mature science there is structural continuity along theoretical change. A major counterexample to this thesis is the transition from the Eightfold Way to the Standard Model in particle physics. Nevertheless, the notion of structure is significantly important in comprehending the theoretical picture of particle physics, where particles change and undergo transmutations, while the only thing which remains unchanged is the basic structure, i.e. the symmetry group which controls the transmutations. This kind of view agrees with (...)
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  49. What a Structuralist Theory of Properties Could Not Be.Nora Berenstain - 2016 - In Anna Marmodoro & David Yates (ed.), The Metaphysics of Relations. OUP. Oxford University Press.
    Causal structuralism is the view that, for each natural, non-mathematical, non-Cambridge property, there is a causal profile that exhausts its individual essence. On this view, having a property’s causal profile is both necessary and sufficient for being that property. It is generally contrasted with the Humean or quidditistic view of properties, which states that having a property’s causal profile is neither necessary nor sufficient for being that property, and with the double-aspect view, which states that causal profile is necessary (...)
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  50.  40
    Structuralism in the Philosophy of Physics.Vincent Lam - 2017 - Philosophy Compass 12 (6):e12421.
    Ontic structuralism or ontic structural realism in the philosophy of physics can be broadly considered as an interpretative strategy providing a set of conceptual and metaphysical tools—or, more ambitiously, an ontological framework—in order to account for central features of current fundamental physics. This article aims to review the main structuralist interpretative moves in the context of our two best fundamental physical theories of matter and spacetime, namely, quantum theory and general relativity. We highlight in particular the structuralist understanding of (...)
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