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The subtraction argument(s)

Dialectica 60 (2):145–156 (2006)

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  1. World and Object: Metaphysical Nihilism and Three Accounts of Worlds.Geraldine Coggins - 2003 - Proceedings of the Aristotelian Society 103 (1):353-360.
    The study of metaphysical possibility involves two central questions: What are possible worlds? Is there an empty possible world? In looking at the first question we consider the different accounts of possible worlds—Lewisian realism, ersatzism, etc. In looking at the second question we consider the discussions of metaphysical nihilism, the modal ontological arguments, etc. In this paper I am drawing these two questions together in order to show how the position we hold on one of these issues affects the position (...)
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  • A Combinatorial Theory of Possibility.David Malet Armstrong - 1989 - Cambridge and New York: Cambridge University Press.
    David Armstrong's book is a contribution to the philosophical discussion about possible worlds. Taking Wittgenstein's Tractatus as his point of departure, Professor Armstrong argues that nonactual possibilities and possible worlds are recombinations of actually existing elements, and as such are useful fictions. There is an extended criticism of the alternative-possible-worlds approach championed by the American philosopher David Lewis. This major work will be read with interest by a wide range of philosophers.
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  • Truth and truthmakers.D. M. Armstrong - 2004 - New York: Cambridge University Press.
    Truths are determined not by what we believe, but by the way the world is. Or so realists about truth believe. Philosophers call such theories correspondence theories of truth. Truthmaking theory, which now has many adherents among contemporary philosophers, is the most recent development of a realist theory of truth, and in this book D. M. Armstrong offers the first full-length study of this theory. He examines its applications to different sorts of truth, including contingent truths, modal truths, truths about (...)
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  • (1 other version)There might be nothing: The subtraction argument improved.Gonzalo Rodriguez-Pereyra - 1997 - Analysis 57 (3):159–166.
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  • (1 other version)There might be nothing.Thomas Baldwin - 1996 - Analysis 56 (4):231–238.
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  • (1 other version)Metaphysical nihilism defended: Reply to Lowe and Paseau.Gonzalo Rodriguez-Pereyra - 2002 - Analysis 62 (2):172–180.
    I believe in metaphysical nihilism, the thesis that there could have been no concrete objects, because I believe in a version of the subtraction argument, the subtraction argument*, that proves it. But both Jonathan Lowe (2002) and Alexander Paseau (2002) express doubts about the subtraction argument*. Paseau thinks the argument is invalid, and Lowe argues that invoking concrete* objects is unnecessary. Furthermore Lowe attempts to rebut my objections (Rodriguez-Pereyra 2000) to his anti-nihilist argument (Lowe 1998). In this paper I defend (...)
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  • Metaphysical nihilism and the subtraction argument.E. J. Lowe - 2002 - Analysis 62 (1):62-73.
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  • A Combinatorial Theory of Possibility.M. J. Cresswell - 1992 - Philosophical Review 101 (3):660.
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  • Why the subtraction argument does not add up.A. Paseau - 2002 - Analysis 62 (1):73-75.
    Gonzalo Rodriguez-Pereyra (1997) has refined an argument due to Thomas Baldwin (1996), which claims to prove nihilism, the thesis that there could have been no concrete objects, and which apparently does so without reliance on any heavy-duty metaphysics of modality. This note will show that on either reading of its key premiss, the subtraction argument Rodriguez-Pereyra proposes is invalid. [A sequel to this paper, 'The Subtraction Argument(s)', was published in Dialectica in 2006.].
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