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  1. Definable Categorical Equivalence.Laurenz Hudetz - 2019 - Philosophy of Science 86 (1):47-75.
    This article proposes to explicate theoretical equivalence by supplementing formal equivalence criteria with preservation conditions concerning interpretation. I argue that both the internal structure of models and choices of morphisms are aspects of formalisms that are relevant when it comes to their interpretation. Hence, a formal criterion suitable for being supplemented with preservation conditions concerning interpretation should take these two aspects into account. The two currently most important criteria—gener-alized definitional equivalence and categorical equivalence—are not optimal in this respect. I put (...)
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  • Theoretical Equivalence in Physics.James Owen Weatherall - unknown
    I review the philosophical literature on the question of when two physical theories are equivalent. This includes a discussion of empirical equivalence, which is often taken to be necessary, and sometimes taken to be sufficient, for theoretical equivalence; and "interpretational" equivalence, which is the idea that two theories are equivalent just in case they have the same interpretation. It also includes a discussion of several formal notions of equivalence that have been considered in the recent philosophical literature, including definitional equivalence (...)
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  • Is the Classical Limit “Singular”?Jeremy Steeger & Benjamin H. Feintzeig - 2021 - Studies in History and Philosophy of Science Part A 88:263-279.
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  • Comparing the Structures of Mathematical Objects.Isaac Wilhelm - forthcoming - Synthese:1-13.
    A popular method for comparing the structures of mathematical objects, which I call the ‘subset approach’, says that X has more structure than Y just in case X’s automorphisms form a proper subset of Y’s automorphisms. This approach is attractive, in part, because it seems to yield the right results in some comparisons of spacetime structure. But as I show, it yields the wrong results in a number of other cases. The problem is that the subset approach compares structure using (...)
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  • Invariance or Equivalence: A Tale of Two Principles.Caspar Jacobs - forthcoming - Synthese:1-21.
    The presence of symmetries in physical theories implies a pernicious form of underdetermination. In order to avoid this theoretical vice, philosophers often espouse a principle called Leibniz Equivalence, which states that symmetry-related models represent the same state of affairs. Moreover, philosophers have claimed that the existence of non-trivial symmetries motivates us to accept the Invariance Principle, which states that quantities that vary under a theory’s symmetries aren’t physically real. Leibniz Equivalence and the Invariance Principle are often seen as part of (...)
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  • The Curvature Argument.Thomas William Barrett - 2021 - Studies in History and Philosophy of Science Part A 88:30-40.
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  • On Representational Redundancy, Surplus Structure, and the Hole Argument.Clara Bradley & James Owen Weatherall - 2020 - Foundations of Physics 50 (4):270-293.
    We address a recent proposal concerning ‘surplus structure’ due to Nguyen et al.. We argue that the sense of ‘surplus structure’ captured by their formal criterion is importantly different from—and in a sense, opposite to—another sense of ‘surplus structure’ used by philosophers. We argue that minimizing structure in one sense is generally incompatible with minimizing structure in the other sense. We then show how these distinctions bear on Nguyen et al.’s arguments about Yang-Mills theory and on the hole argument.
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  • How to Count Structure.Thomas William Barrett - forthcoming - Noûs.
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  • Some Philosophical Prehistory of the (Earman-Norton) Hole Argument.James Owen Weatherall - 2020 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 70:79-87.
    The celu of the philosophical literature on the hole argument is the 1987 paper by Earman \& Norton ["What Price Space-time Substantivalism? The Hole Story" Br. J. Phil. Sci.]. This paper has a well-known back-story, concerning work by Stachel and Norton on Einstein's thinking in the years 1913-15. Less well-known is a connection between the hole argument and Earman's work on Leibniz in the 1970s and 1980s, which in turn can be traced to an argument first presented in 1975 by (...)
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  • Part 2: Theoretical Equivalence in Physics.James Owen Weatherall - 2019 - Philosophy Compass 14 (5).
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