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  1. Naturalism in mathematics.Penelope Maddy - 1997 - New York: Oxford University Press.
    Naturalism in Mathematics investigates how the most fundamental assumptions of mathematics can be justified. One prevalent philosophical approach to the problem--realism--is examined and rejected in favor of another approach--naturalism. Penelope Maddy defines this naturalism, explains the motivation for it, and shows how it can be successfully applied in set theory. Her clear, original treatment of this fundamental issue is informed by current work in both philosophy and mathematics, and will be accessible and enlightening to readers from both disciplines.
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  • How the laws of physics lie.Nancy Cartwright - 1983 - New York: Oxford University Press.
    In this sequence of philosophical essays about natural science, the author argues that fundamental explanatory laws, the deepest and most admired successes of modern physics, do not in fact describe regularities that exist in nature. Cartwright draws from many real-life examples to propound a novel distinction: that theoretical entities, and the complex and localized laws that describe them, can be interpreted realistically, but the simple unifying laws of basic theory cannot.
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  • On "on what there is".Jody Azzouni - 1998 - Pacific Philosophical Quarterly 79 (1):1–18.
    All sides in the recent debates over the Quine‐Putnam Indispensability thesis presuppose Quine's criterion for determining what a discourse is ontologically committed to. I subject the criterion to scrutiny, especially in regard to the available competitor‐criteria, asking what means of evaluation there are for comparing alternative criteria against each other. Finding none, the paper concludes that ontological questions, in a certain sense, are philosophically indeterminate.
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  • Applied mathematics, existential commitment and the Quine-Putnam indispensability thesis.Jody Azzouni - 1997 - Philosophia Mathematica 5 (3):193-209.
    The ramifications are explored of taking physical theories to commit their advocates only to ‘physically real’ entities, where ‘physically real’ means ‘causally efficacious’ (e.g., actual particles moving through space, such as dust motes), the ‘physically significant’ (e.g., centers of mass), and the merely mathematical—despite the fact that, in ordinary physical theory, all three sorts of posits are quantified over. It's argued that when such theories are regimented, existential quantification, even when interpreted ‘objectually’ (that is, in terms of satisfaction via variables, (...)
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  • Abstract objects.Bob Hale - 1988 - New York, NY, USA: Blackwell.
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  • Truth and objectivity.Brian David Ellis - 1990 - Cambridge, Mass., USA: Blackwell.
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  • Realism, Mathematics & Modality.Hartry H. Field - 1989 - New York, NY, USA: Blackwell.
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  • Deflating Existential Consequence: A Case for Nominalism.Jody Azzouni - 2004 - New York, US: OUP Usa.
    What in our theoretical pronouncements commits us to objects? The Quinean standard for ontological commitment involves (nearly enough) commitments when we utter “there is” or “there are” statements without hope of eliminating these by paraphrase. Coupled with the indispensability of the truth of applied mathematical doctrine, the result is that the ontologically hard-nosed scientist is a Platonist—haplessly commited to abstracta. In this book Azzouni offers a way around the Quinean straitjacket: ontological commitment turns on how theories are (nearly enough) nailed (...)
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  • From a Logical Point of View.Willard Orman Quine - 1953 - Harvard University Press.
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  • Words and Objects.Achille C. Varzi - 2002 - In Andrea Bottani, Massimiliano Carrara & Daniele Giaretta (eds.), Individuals, Essence, and Identity. Themes of Analytic Metaphysics. Kluwer Academic Publishers. pp. 49–75.
    A lot of work in metaphysics relies on linguistic analysis and intuitions. Do we want to know what sort of things there are or could be? Then let’s see what sort of things there must be in order for what we truthfully say to be true. Do we want to see whether x is distinct from y? Then let’s see whether there is any statement that is true of x but not of y. And so on. In this paper I (...)
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  • A paradox of existence.Stephen Yablo - 2000 - In T. Hofweber & A. Everett (eds.), Empty Names, Fiction, and the Puzzles of Non-Existence. CSLI Publications. pp. 275--312.
    ontology metaontology wright platonism fregean existence epistemology.
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