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Michael D. Resnik [100]Michael David Resnik [27]
  1. Mathematics as a science of patterns.Michael David 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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  2. Choices: An Introduction to Decision Theory.Michael D. Resnik - 1987 - Univ of Minnesota Press.
  3.  38
    Science without Numbers.Michael D. Resnik - 1983 - Noûs 17 (3):514-519.
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  4.  50
    Aspects of Scientific Explanation.Michael D. Resnik - 1966 - Philosophy and Phenomenological Research 27 (1):139-140.
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  5. Frege and the philosophy of mathematics.Michael D. Resnik - 1980 - Ithaca, N.Y.: Cornell University Press.
  6. (1 other version)Choices: An Introduction to Decision Theory.Michael D. Resnik - 1990 - Behavior and Philosophy 18 (2):73-78.
     
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  7. (1 other version)Second-order logic still wild.Michael D. Resnik - 1988 - Journal of Philosophy 85 (2):75-87.
  8. Explanation, independence and realism in mathematics.Michael D. Resnik & David Kushner - 1987 - British Journal for the Philosophy of Science 38 (2):141-158.
  9. The Frege-Hilbert controversy.Michael David Resnik - 1974 - Philosophy and Phenomenological Research 34 (3):386-403.
  10. How nominalist is Hartry field's nominalism?Michael D. Resnik - 1985 - Philosophical Studies 47 (2):163 - 181.
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  11. Mathematics as a Science of Patterns.Michael D. Resnik & Stewart Shapiro - 1998 - British Journal for the Philosophy of Science 49 (4):652-656.
     
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  12. Against Logical Realism.Michael D. Resnik - 1999 - History and Philosophy of Logic 20 (3-4):181-194.
    This paper argues against Logical Realism, in particular against the view that there are facts of matters of logic that obtain independently of us, our linguistic conventions and inferential practices. The paper challenges logical realists to provide a non-intuition based epistemology, one which would be compatible with the empiricist and naturalist convictions motivating much recent anti-realist philosophy of mathematics.
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  13. Logic: Normative or descriptive? The ethics of belief or a branch of psychology?Michael D. Resnik - 1985 - Philosophy of Science 52 (2):221-238.
    By a logical theory I mean a formal system together with its semantics, meta-theory, and rules for translating ordinary language into its notation. Logical theories can be used descriptively (for example, to represent particular arguments or to depict the logical form of certain sentences). Here the logician uses the usual methods of empirical science to assess the correctness of his descriptions. However, the most important applications of logical theories are normative, and here, I argue, the epistemology is that of wide (...)
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  14. Immanent truth.Michael D. Resnik - 1990 - Mind 99 (395):405-424.
  15.  82
    On the philosophical significance of consistency proofs.Michael D. Resnik - 1974 - Journal of Philosophical Logic 3 (1/2):133 - 147.
    We have seen that despite Feferman's results Gödel's second theorem vitiates the use of Hilbert-type epistemological programs and consistency proofs as a response to mathematical skepticism. Thus consistency proofs fail to have the philosophical significance often attributed to them.This does not mean that consistency proofs are of no interest to philosophers. We know that a ‘non-pathological’ consistency proof for a system S will use methods which are not available in S. When S is as strong a system as we are (...)
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  16. Holistic realism: A response to Katz on holism and intuition.Michael D. Resnik & Nicoletta Orlandi - 2003 - Philosophical Forum 34 (3-4):301-315.
  17.  72
    Mathematical Knowledge and Pattern Cognition.Michael D. Resnik - 1975 - Canadian Journal of Philosophy 5 (1):25 - 39.
    This paper is concerned with the genesis of mathematical knowledge. While some philosophers might argue that mathematics has no real subject matter and thus is not a body of knowledge, I will not try to dissuade them directly. I shall not attempt such a refutation because it seems clear to me that mathematicians do know such things as the Mean Value Theorem, The Fundamental Theorem of Arithmetic, Godel's Theorems, etc. Moreover, this is much more evident to me than any philosophical (...)
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  18.  21
    Reasoning in Medicine: An Introduction to Clinical Inference.Daniel A. Albert, Ronald Munson & Michael D. Resnik - 1988
  19. Revising Logic.Michael D. Resnik - 2004 - In Graham Priest, Jc Beall & Bradley P. Armour-Garb (eds.), The law of non-contradiction : new philosophical essays. New York: Oxford University Press.
  20. The context principle in Frege's philosophy.Michael David Resnik - 1967 - Philosophy and Phenomenological Research 27 (3):356-365.
  21.  90
    On Skolem's paradox.Michael David Resnik - 1966 - Journal of Philosophy 63 (15):425-438.
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  22.  33
    Frege and the Philosophy of Mathematics.Gottlob Frege.Michael D. Resnik & Hans D. Sluga - 1984 - Noûs 18 (2):340-346.
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  23.  79
    II. Frege as Idealist and then Realist.Michael D. Resnik - 1979 - Inquiry: An Interdisciplinary Journal of Philosophy 22 (1-4):350-357.
    Michael Dummett argued that Frege was a realist while Hans Sluga countered that he was an objective idealist in the rationalist tradition of Kant and Lotze. Sluga ties Frege's idealism to the context principle which he argues Frege never gave up. It is argued that Sluga has correctly interpreted the pre?1891 Frege while Dummett is correct concerning the later period. It is also claimed that the context principle was dropped prior to 1891 to be replaced by the doctrine of unsaturated (...)
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  24.  31
    Frege's proof of referentiality.Michael D. Resnik - 1986 - In Leila Haaparanta & Jaakko Hintikka (eds.), Frege Synthesized: Essays on the Philosophical and Foundational Work of Gottlob Frege. Dordrecht, Netherland: Kluwer Academic Publishers. pp. 177--195.
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  25.  25
    Holistic mathematics.Michael D. Resnik - 1998 - In Matthias Schirn (ed.), The Philosophy of Mathematics Today: Papers From a Conference Held in Munich From June 28 to July 4,1993. Oxford, England: Clarendon Press. pp. 227--46.
  26.  48
    Mathematics from the Structural Point of View.Michael D. Resnik - 1988 - Revue Internationale de Philosophie 42 (4):400-424.
    This paper is a nontechnical exposition of the author's view that mathematics is a science of patterns and that mathematical objects are positions in patterns. the new elements in this paper are epistemological, i.e., first steps towards a postulational theory of the genesis of our knowledge of patterns.
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  27.  65
    A Naturalized Epistemology for a Platonist Mathematical Ontology.Michael D. Resnik - 1989 - Philosophica 43.
  28.  75
    (1 other version)Between Mathematics and Physics.Michael D. Resnik - 1990 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:369 - 378.
    Nothing has been more central to philosophy of mathematics than the distinction between mathematical and physical objects. Yet consideration of quantum particles shows the inadequacy of the popular spacetime and causal characterizations of the distinction. It also raises problems for an assumption used recently by Field, Hellman and Horgan, namely, that the mathematical realm is metaphysically independent of the physical one.
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  29.  80
    (1 other version)Computation and Mathematical Empiricism.Michael D. Resnik - 1989 - Philosophical Topics 17 (2):129-144.
  30.  58
    More on Skolem's paradox.Michael David Resnik - 1969 - Noûs 3 (2):185-196.
  31.  7
    Quine and the Web of Belief.Michael D. Resnik - 2005 - In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford and New York: Oxford University Press.
    The chapter presents a largely sympathetic account of W. V. O. Quine’s account of mathematics and logic. The themes of naturalism, confirmational holism, and ontological relativity are discussed in detail, along with the indispensability argument for the truth of mathematical theories and the existence of mathematical objects.
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  32.  55
    A restriction on a theorem of Harsanyi.Michael D. Resnik - 1983 - Theory and Decision 15 (4):309-320.
  33.  41
    Beyond Analytic Philosophy. Doing Justice to What we Know.Michael D. Resnik & Hao Wang - 1988 - Journal of Symbolic Logic 54 (4):1484.
  34.  75
    Frege's theory of incomplete entities.Michael David Resnik - 1965 - Philosophy of Science 32 (3/4):329-341.
    This paper examines four arguments in support of Frege's theory of incomplete entities, the heart of his semantics and ontology. Two of these arguments are based upon Frege's contributions to the foundations of mathematics. These are shown to be question-begging. Two are based upon Frege's solution to the problem of the relation of language to thought and reality. They are metaphysical in nature and they force Frege to maintain a theory of types. The latter puts his theory of incomplete entities (...)
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  35.  29
    Explanation and Realism: Interwoven Themes in the Philosophy of Mathematics.Mark Colyvan & Michael D. Resnik - 2023 - In Carl Posy & Yemima Ben-Menahem (eds.), Mathematical Knowledge, Objects and Applications: Essays in Memory of Mark Steiner. Springer. pp. 41-58.
    Mathematical explanation is a topic of great contemporary interest in the philosophy of mathematics. The question of whether mathematics can play an explanatory role in empirical science is thought by many to be the key to making progress on the realism versus anti-realism debate in the philosophy of mathematics. Questions about explanation within mathematics are also interesting and are important for the development of a general account of explanation. In a series of groundbreaking papers from 1978 to 1983, Mark Steiner (...)
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  36.  40
    Mathematical Objects and Mathematical Knowledge.Michael D. Resnik - 1995 - Dartmouth Publishing Company.
    The International research Library of Philosophy collects in book form a wide range of important and influential essays in philosophy, drawn predominantly from English-language journals. Each volume in the library deals with a field of enquiry which has received significant attention in philosophy in the last 25 years and is edited by a philosopher noted in that field.
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  37. Meeting of the association for symbolic logic: Atlanta 1973.C. Ward Henson, Bjarni Jónsson, E. G. K. Lopez-Escobar & Michael D. Resnik - 1974 - Journal of Symbolic Logic 39 (2):390-405.
  38. Ontology and logic: remarks on hartry field's anti-platonist philosophy of mathematics.Michael D. Resnik - 1985 - History and Philosophy of Logic 6 (1):191-209.
    In Science without numbers Hartry Field attempted to formulate a nominalist version of Newtonian physics?one free of ontic commitment to numbers, functions or sets?sufficiently strong to have the standard platonist version as a conservative extension. However, when uses for abstract entities kept popping up like hydra heads, Field enriched his logic to avoid them. This paper reviews some of Field's attempts to deflate his ontology by inflating his logic.
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  39.  47
    Science nominalized?Susan C. Hale & Michael D. Resnik - 1987 - Philosophy of Science 54 (2):277-280.
    We argue that Horgan's program for nominalizing science fails, because its translation of quantitative statements destroys the inferential structures of explanations, predictions and retrodictions of nonquantitative scientific facts.
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  40.  31
    Logic and Scientific Methodology in the Writings of Mencius.Michael David Resnik - 1968 - International Philosophical Quarterly 8 (2):212-230.
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  41. Mathematics from the Structural Point of View in Philosophie des Mathématiques.Michael D. Resnik - 1988 - Revue Internationale de Philosophie 42 (167):400-424.
     
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  42. Parsons on mathematical intuition and obviousness.Michael D. Resnik - 2000 - In Gila Sher & Richard Tieszen (eds.), Between logic and intuition: essays in honor of Charles Parsons. New York: Cambridge University Press. pp. 219--231.
     
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  43.  67
    You can't trust an ideal theory to tell the truth.Michael D. Resnik - 1987 - Philosophical Studies 52 (2):151--60.
  44. Structuralism and the Independence of Mathematics.Michael D. Resnik - 2004 - The Harvard Review of Philosophy 12 (1):39-51.
    Mathematical objects, if they exist at all, exist independently of our proofs, constructions and stipulations. For example, whether inaccessible cardinals exist or not, the very act of our proving or postulating that they do doesn’t make it so. This independence thesis is a central claim of mathematical realism. It is also one that many anti-realists acknowledge too. For they agree that we cannot create mathematical truths or objects, though, to be sure, they deny that mathematical objects exist at all. I (...)
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  45.  17
    (1 other version)Logic and Arithmetic. Volume 1. Natural Numbers.Michael D. Resnik - 1982 - Journal of Symbolic Logic 47 (3):708-713.
  46.  86
    Ontic commitment and the empty universe.Chung-Ying Cheng & Michael David Resnik - 1965 - Journal of Philosophy 62 (14):359-364.
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  47.  35
    A decision procedure for positive implication.Michael D. Resnik - 1962 - Notre Dame Journal of Formal Logic 3 (3):179-186.
  48.  23
    A note on natural deduction.Michael D. Resnik - 1966 - Notre Dame Journal of Formal Logic 7 (2):206-208.
  49.  38
    Frege and Analytic Philosophy: Facts and Speculations.Michael D. Resnik - 1981 - Midwest Studies in Philosophy 6 (1):83-104.
  50.  19
    A. J. Baker. Presupposition and types of clause. Mind, n.s. vol. 65 , pp. 368–378.Michael D. Resnik - 1972 - Journal of Symbolic Logic 37 (1):179.
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