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In a number of publications, John Earman has advocated a tertium quid to the usual dichotomy between substantivalism and relationism concerning the nature of spacetime. The idea is that the structure common to the members of an equivalence class of substantival models is captured by a Leibniz algebra which can then be taken to directly characterize the intrinsic reality only indirectly represented by the substantival models. An alleged virtue of this is that, while a substantival interpretation of spacetime theories falls (...) |
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Formal criteria of theoretical equivalence are mathematical mappings between specific sorts of mathematical objects, notably including those objects used in mathematical physics. Proponents of formal criteria claim that results involving these criteria have implications that extend beyond pure mathematics. For instance, they claim that formal criteria bear on the project of using our best mathematical physics as a guide to what the world is like, and also have deflationary implications for various debates in the metaphysics of physics. In this paper, (...) |
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I argue that Hume’s philosophy of time is relationist in the following two senses. 1) Standard definition of relationism. Time is a succession of indivisible moments. Hence there is no time independent of change. Time is a relational, not substantial feature of the world. 2) Rigid relationism. There is no evidence of uniform natural standard for synchronization of clocks. No absolute temporal metric is available. There are countless times, and no time is privileged. Combining 1) and 2) shows that Hume’s (...) |
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I discuss several issues related to "classical" spacetime structure. I review Galilean, Newtonian, and Leibnizian spacetimes, and briefly describe more recent developments. The target audience is undergraduates and early graduate students in philosophy; the presentation avoids mathematical formalism as much as possible. |
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In this article, I examine whether or not the Hamiltonian and Lagrangian formulations of classical mechanics are equivalent theories. I do so by applying a standard for equivalence that was recently introduced into philosophy of science by Halvorson and Weatherall. This case study yields three general philosophical payoffs. The first concerns what a theory is, while the second and third concern how we should interpret what our physical theories say about the world. 1Introduction 2When Are Two Theories Equivalent? 3Preliminaries on (...) |
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In this paper, we examine the relationship between general relativity and the theory of Einstein algebras. We show that according to a formal criterion for theoretical equivalence recently proposed by Halvorson and Weatherall, the two are equivalent theories. |
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I review some recent work on applications of category theory to questions concerning theoretical structure and theoretical equivalence of classical field theories, including Newtonian gravitation, general relativity, and Yang-Mills theories. |
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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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En este artículo examinamos los aspectos más relevantes de la concepción del espacio de Leibniz. A través de un enfoque genético, nuestro propósito es mostrar que, en su desarrollo evolutivo, dicha concepción sufre dos transiciones destacables, las que separan y distinguen tres versiones teóricas. En su juventud, Leibniz defiende una concepción substancialista del espacio. Sin embargo, debido a la adopción del nominalismo, dicha concepción sufre un primer giro que decanta en un monismo substancialoide, el que se consolida en el período (...) |
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