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  1. Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: 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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  • The Character of Physical Law.Richard Phillips Feynman - 1965 - MIT Press.
    The law of gravitation, an example of physical law The relation of mathematics to physics The great conservation principles Symmetry in physical law The distinction of past and future Probability and uncertainty: the quantum mechanical view of nature Seeking new laws.
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  • The principles of quantum mechanics.Paul Dirac - 1930 - Oxford,: Clarendon Press.
    THE PRINCIPLE OF SUPERPOSITION. The need for a quantum theory Classical mechanics has been developed continuously from the time of Newton and applied to an ...
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  • Philosophy of Logic.Hilary Putnam - 1971 - New York, NY, USA: Routledge. Edited by Stephen Laurence & Cynthia Macdonald.
    First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist. He also deals with the question of whether or not reference to these abstract entities is really indispensible in logic and whether it is necessary in physical science in general.
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  • Indispensability and Practice.Penelope Maddy - 1992 - Journal of Philosophy 89 (6):275.
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  • Science without Numbers.Michael D. Resnik - 1983 - Noûs 17 (3):514-519.
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  • Mathematical Thought from Ancient to Modern Times.M. Kline - 1978 - British Journal for the Philosophy of Science 29 (1):68-87.
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  • Ontology and the vicious-circle principle.Charles S. Chihara - 1973 - Ithaca [N.Y.]: Cornell University Press.
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  • Mathematics and indispensability.Elliott Sober - 1993 - Philosophical Review 102 (1):35-57.
    Realists persuaded by indispensability arguments af- firm the existence of numbers, genes, and quarks. Van Fraassen's empiricism remains agnostic with respect to all three. The point of agreement is that the posits of mathematics and the posits of biology and physics stand orfall together. The mathematical Platonist can take heart from this consensus; even if the existence of num- bers is still problematic, it seems no more problematic than the existence of genes or quarks. If the two positions just described (...)
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  • Scientific vs. mathematical realism: The indispensability argument.Michael Resnik - 1995 - Philosophia Mathematica 3 (2):166-174.
    Penelope Maddy and Elliott Sober recently attacked the confirmational indispensability argument for mathematical realism. We cannot count on science to provide evidence for the truth of mathematics, they say, because either scientific testing fails to confirm mathematics (Sober) or too much mathematics occurs in false scientific theories (Maddy). I present a pragmatic indispensability argument immune to these objections, and show that this argument supports mathematical realism independently of scientific realism. Mathematical realism, it turns out, may be even more firmly established (...)
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  • The Principles of Quantum Mechanics.P. A. M. Dirac - 1936 - Revue de Métaphysique et de Morale 43 (2):5-5.
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  • Ontology and the Vicious Circle Principle.Stanley C. Martens - 1976 - Philosophical Review 85 (2):256.
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  • Confirmation theory and indispensability.Mark Colyvan - 1999 - Philosophical Studies 96 (1):1-19.
    In this paper I examine Quine''s indispensability argument, with particular emphasis on what is meant by ''indispensable''. I show that confirmation theory plays a crucial role in answering this question and that once indispensability is understood in this light, Quine''s argument is seen to be a serious stumbling block for any scientific realist wishing to maintain an anti-realist position with regard to mathematical entities.
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  • On the most open question in the history of mathematics: A discussion of Maddy.Adrian Riskin - 1994 - Philosophia Mathematica 2 (2):109-121.
    In this paper, I argue against Penelope Maddy's set-theoretic realism by arguing (1) that it is perfectly consistent with mathematical Platonism to deny that there is a fact of the matter concerning statements which are independent of the axioms of set theory, and that (2) denying this accords further that many contemporary Platonists assert that there is a fact of the matter because they are closet foundationalists, and that their brand of foundationalism is in radical conflict with actual mathematical practice.
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  • Ontology and the Vicious Circle Principle. [REVIEW]Mark Steiner - 1975 - Journal of Philosophy 72 (7):184-196.
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