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  1. Deflating Existential Consequence: A Case for Nominalism.Jody Azzouni - 2006 - Oup Usa.
    If we must take mathematical statements to be true, must we also believe in the existence of abstract eternal invisible mathematical objects accessible only by the power of pure thought? Jody Azzouni says no, and he claims that the way to escape such commitments is to accept true statements which are about objects that don't exist in any sense at all. Azzouni illustrates what the metaphysical landscape looks like once we avoid a militant Realism which forces our commitment to anything (...)
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  • The Metaphysics of Space-Time Substantivalism.Carl Hoefer - 1996 - Journal of Philosophy 93 (1):5-27.
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  • 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 a (...)
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  • Absolute Versus Relational Space‐Time: An Outmoded Debate.Robert Rynasiewicz - 1996 - Journal of Philosophy 93 (6):279-306.
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  • The Metaphysics of Space‐Time Substantivalism.Carl Hoefer - 1996 - Journal of Philosophy 93 (1):5-27.
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  • Space, Time and Spacetime.David Malament - 1976 - Journal of Philosophy 73 (11):306-323.
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  • Geometry and Motion.Gordon Belot - 2000 - British Journal for the Philosophy of Science 51 (4):561--95.
    I will discuss only one of the several entwined strands of the philosophy of space and time, the question of the relation between the nature of motion and the geometrical structure of the world.1 This topic has many of the virtues of the best philosophy of science. It is of long-standing philosophical interest and has a rich history of connections to problems of physics. It has loomed large in discussions of space and time among contemporary philosophers of science. Furthermore, there (...)
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  • Substantivalism, Relationism, and Structural Spacetime Realism.Mauro Dorato - 2000 - Foundations of Physics 30 (10):1605-1628.
    Debates about the ontological implications of the general theory of relativity have long oscillated between spacetime substantivalism and relationism. I evaluate such debates by claiming that we need a third option, which I refer to as “structural spacetime realism.” Such a tertium quid sides with the relationists in defending the relational nature of the spacetime structure, but joins the substantivalists in arguing that spacetime exists, at least in part, independently of particular physical objects and events, the degree of “independence” being (...)
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  • Absolute Versus Relational Spacetime: For Better or Worse, the Debate Goes On.Carl Hoefer - 1998 - British Journal for the Philosophy of Science 49 (3):451-467.
    The traditional absolutist-relationist debate is still clearly formulable in the context of General Relativity Theory (GTR), despite the important differences between Einstein's theory and the earlier context of Newtonian physics. This paper answers recent arguments by Robert Rynasiewicz against the significance of the debate in the GTR context. In his (1996) (‘Absolute vs. Relational Spacetime: An Outmoded Debate?’), Rynasiewicz argues that already in the late nineteenth century, and even more so in the context of General Relativity theory, the terms of (...)
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  • The Hole Truth.Jeremy Butterfield - 1989 - British Journal for the Philosophy of Science 40 (1):1-28.
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  • Relational Concepts of Space and Time.Julian B. Barbour - 1982 - British Journal for the Philosophy of Science 33 (3):251-274.
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  • Foundations of Space-Time Theories.Michael Friedman - 1987 - Noûs 21 (4):595-601.
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  • Carnap and Logical Truth.W. V. O. Quine - 1960 - Synthese 12 (4):350--74.
    Kant's question 'How are synthetic judgments a priori possible?' pre- cipitated the Critique of Pure Reason. Question and answer notwith- standing, Mill and others persisted in doubting that such judgments were possible at all. At length some of Kant's own clearest purported.
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  • World Enough and Space‐Time: Absolute Versus Relational Theories of Space and Time.Robert Toretti & John Earman - 1989 - Philosophical Review 101 (3):723.
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  • Structural Realism: The Best of Both Worlds?John Worrall - 1989 - Dialectica 43 (1-2):99-124.
    The no-miracles argument for realism and the pessimistic meta-induction for anti-realism pull in opposite directions. Structural Realism---the position that the mathematical structure of mature science reflects reality---relieves this tension.
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  • Spacetime Theory as Physical Geometry.Robert DiSalle - 1995 - Erkenntnis 42 (3):317-337.
    Discussions of the metaphysical status of spacetime assume that a spacetime theory offers a causal explanation of phenomena of relative motion, and that the fundamental philosophical question is whether the inference to that explanation is warranted. I argue that those assumptions are mistaken, because they ignore the essential character of spacetime theory as a kind of physical geometry. As such, a spacetime theory does notcausally explain phenomena of motion, but uses them to construct physicaldefinitions of basic geometrical structures by coordinating (...)
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  • Science Without Numbers.Hartry Field - 1980 - Synthese 51 (2):283-291.
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  • Science Without Numbers.Hartry Field - 1980 - Princeton University Press.
    Science Without Numbers caused a stir in 1980, with its bold nominalist approach to the philosophy of mathematics and science. It has been unavailable for twenty years and is now reissued in a revised edition with a substantial new preface presenting the author's current views and responses to the issues raised in subsequent debate.
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  • Mathematics Without Numbers: Towards a Modal-Structural Interpretation.Geoffrey Hellman - 1989 - Oxford University Press.
    Develops a structuralist understanding of mathematics, as an alternative to set- or type-theoretic foundations, that respects classical mathematical truth while ...
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  • Mathematics as a Science of Patterns.Michael D. Resnik - 1997 - New York ;Oxford University Press.
    This book expounds a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has a factual subject-matter and that mathematical knowledge is on a par with other scientific knowledge; in calling it a science of patterns he expresses his commitment to a structuralist philosophy of mathematics. He links this to a defense of realism about the metaphysics of mathematics--the view that mathematics (...)
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  • Philosophy of Mathematics: Structure and Ontology.Stewart Shapiro - 1997 - Oxford University Press.
    Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that standard realist and antirealist accounts of mathematics are both problematic. As Benacerraf first noted, we are confronted with the following powerful dilemma. The desired continuity between mathematical and, say, scientific language suggests realism, but realism in this context suggests seemingly intractable epistemic (...)
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  • A Structural Account of Mathematics.Charles S. Chihara - 2003 - Oxford University Press UK.
    Charles Chihara's new book develops and defends a structural view of the nature of mathematics, and uses it to explain a number of striking features of mathematics that have puzzled philosophers for centuries. The view is used to show that, in order to understand how mathematical systems are applied in science and everyday life, it is not necessary to assume that its theorems either presuppose mathematical objects or are even true. Chihara builds upon his previous work, in which he presented (...)
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  • Foundations of Space-Time Theories.Robert Weingard - 1986 - Philosophy of Science 53 (2):286-299.
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  • Philosophy and Spacetime Physics.Roberto Torretti - 1991 - Noûs 25 (4):574-578.
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  • Science Without Numbers.Michael D. Resnik - 1983 - Noûs 17 (3):514-519.
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  • Philosophy and Spacetime Physics.Lawrence Sklar - 1985 - University of California Press.
    Twelve essays explore the philosophy of science in general and the physical sciences in particular A common theme unites all twelve essays: In discussing the ...
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  • Space, Time, and Spacetime.Lawrence Sklar - 1974 - University of California Press.
    In this book, Lawrence Sklar demonstrates the interdependence of science and philosophy by examining a number of crucial problems on the nature of space and ...
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  • The End of Time: The Next Revolution in Physics.Julian Barbour - 1999 - Weidenfeld & Nicholson.
    In a revolutionary new book, a theoretical physicist attacks the foundations of modern scientific theory, including the notion of time, as he shares evidence of ...
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  • Structural Realism: The Best of Both Worlds?John Worrall - 1989 - Dialectica 43 (1-2):99-124.
    SummaryThe main argument for scientific realism is that our present theories in science are so successful empirically that they can't have got that way by chance ‐ instead they must somehow have latched onto the blueprint of the universe. The main argument against scientific realism is that there have been enormously successful theories which were once accepted but are now regarded as false. The central question addressed in this paper is whether there is some reasonable way to have the best (...)
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  • Space, Time, and Spacetime.L. Sklar - 1976 - Revue Philosophique de la France Et de l'Etranger 172 (3):545-555.
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  • Buckets of Water and Waves of Space: Why Spacetime is Probably a Substance.Tim Maudlin - 1993 - Philosophy of Science 60 (2):183-203.
    This paper sketches a taxonomy of forms of substantivalism and relationism concerning space and time, and of the traditional arguments for these positions. Several natural sorts of relationism are able to account for Newton's bucket experiment. Conversely, appropriately constructed substantivalism can survive Leibniz's critique, a fact which has been obscured by the conflation of two of Leibniz's arguments. The form of relationism appropriate to the Special Theory of Relativity is also able to evade the problems raised by Field. I survey (...)
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  • What Price Spacetime Substantivalism? The Hole Story.John Earman & John Norton - 1987 - British Journal for the Philosophy of Science 38 (4):515-525.
    Spacetime substantivalism leads to a radical form of indeterminism within a very broad class of spacetime theories which include our best spacetime theory, general relativity. Extending an argument from Einstein, we show that spacetime substantivalists are committed to very many more distinct physical states than these theories' equations can determine, even with the most extensive boundary conditions.
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  • Thinking About Mathematics: The Philosophy of Mathematics.Stewart Shapiro - 2000 - Oxford University Press.
    This unique book by Stewart Shapiro looks at a range of philosophical issues and positions concerning mathematics in four comprehensive sections. Part I describes questions and issues about mathematics that have motivated philosophers since the beginning of intellectual history. Part II is an historical survey, discussing the role of mathematics in the thought of such philosophers as Plato, Aristotle, Kant, and Mill. Part III covers the three major positions held throughout the twentieth century: the idea that mathematics is logic (logicism), (...)
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  • Geometry and Motion.Gordon Belot - 2003 - In Peter Clark & Katherine Hawley (eds.), Philosophy of Science Today. Clarendon Press.
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  • Space and Time in Particle and Field Physics.Dennis Dieks - 2001 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 32 (2):217-241.
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  • Space and Time in Particle and Field Physics.Dennis Dieks - 2001 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 32 (2):217-241.
    Textbooks present classical particle and field physics as theories of physical systems situated in Newtonian absolute space. This absolute space has an influence on the evolution of physical processes, and can therefore be seen as a physical system itself; it is substantival. It turns out to be possible, however, to interpret the classical theories in another way. According to this rival interpretation, spatiotemporal position is a property of physical systems, and there is no substantival spacetime. The traditional objection that such (...)
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  • Varieties of Realism: A Rationale for the Natural Sciences.Rom Harré - 1986 - Blackwell.
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  • The Principle of Relativity.Albert Einstein - 1923 - Dover Publications.
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  • On the Space-Time Ontology of Physical Theories.Kenneth L. Manders - 1982 - Philosophy of Science 49 (4):575-590.
    In the correspondence with Clarke, Leibniz proposes to construe physical theory in terms of physical (spatio-temporal) relations between physical objects, thus avoiding incorporation of infinite totalities of abstract entities (such as Newtonian space) in physical ontology. It has generally been felt that this proposal cannot be carried out. I demonstrate an equivalence between formulations postulating space-time as an infinite totality and formulations allowing only possible spatio-temporal relations of physical (point-) objects. The resulting rigorous formulations of physical theory may be seen (...)
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  • Substance, Relations, and Arguments About the Nature of Space-Time.Paul Teller - 1991 - Philosophical Review 100 (3):363-397.
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  • Philosophy of Mathematics: Structure and Ontology.Stewart Shapiro - 2002 - Philosophy and Phenomenological Research 65 (2):467-475.
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  • World Enough and Space-Time: Absolute Versus Relational Theories of Space and Time.John S. Earman - 1992 - British Journal for the Philosophy of Science 43 (4):573-580.
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  • A Structural Account of Mathematics.Charles Chihara - 2005 - Bulletin of Symbolic Logic 11 (1):79-83.
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  • Beyond Positivism and Relativism.Larry Laudan - 1998 - Mind 107 (425):233-235.
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  • Pre-Socratic Quantum Gravity.Belot Gordon & Earman John - 2001 - In Craig Callender & Nick Huggett (eds.), Physics Meets Philosophy at the Planck Scale. Cambridge University Press. pp. 213--55.
    Physicists who work on canonical quantum gravity will sometimes remark that the general covariance of general relativity is responsible for many of the thorniest technical and conceptual problems in their field.1 In particular, it is sometimes alleged that one can trace to this single source a variety of deep puzzles about the nature of time in quantum gravity, deep disagreements surrounding the notion of ‘observable’ in classical and quantum gravity, and deep questions about the nature of the existence of spacetime (...)
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  • Thinking About Mathematics: The Philosophy of Mathematics.Stewart Shapiro - 2002 - Philosophical Quarterly 52 (207):272-274.
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  • Philosophy of Mathematics: Structure and Ontology.Stewart Shapiro - 2000 - Philosophical Quarterly 50 (198):120-123.
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  • Book Reviews-Social Empiricism.Stathis Psillos - 2002 - Philosophy of Science 69 (3):545.
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  • 1. Preface Preface (Pp. I-Ii).Laura Ruetsche, Chris Smeenk, Branden Fitelson, Patrick Maher, Martin Thomson‐Jones, Bas C. van Fraassen, Steven French, Juha Saatsi, Stathis Psillos & Katherine Brading - 2006 - Philosophy of Science 73 (5).
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  • Science and Partial Truth: A Unitary Approach to Models and Scientific Reasoning.Newton C. A. Da Costa & Steven French - 2003 - Oxford University Press USA.
    In the past thirty years, two fundamental issues have emerged in the philosophy of science. One concerns the appropriate attitude we should take towards scientific theories--whether we should regard them as true or merely empirically adequate, for example. The other concerns the nature of scientific theories and models and how these might best be represented. In this ambitious book, da Costa and French bring these two issues together by arguing that theories and models should be regarded as partially rather than (...)
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