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Michael D. Resnik [92]Michael David Resnik [24]
  1. 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 (...)
  2.  12
    Science Without Numbers.Michael D. Resnik - 1983 - Noûs 17 (3):514-519.
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  3.  29
    Aspects of Scientific Explanation.Michael D. Resnik - 1966 - Philosophy and Phenomenological Research 27 (1):139-140.
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  4. Mathematics as a Science of Patterns: Ontology and Reference.Michael D. Resnik - 1981 - Noûs 15 (4):529-550.
  5.  91
    Frege and the Philosophy of Mathematics.Michael D. Resnik - 1980 - Cornell University Press.
  6. Second-Order Logic Still Wild.Michael D. Resnik - 1988 - Journal of Philosophy 85 (2):75-87.
  7.  19
    Frege in Perspective. [REVIEW]Michael D. Resnik - 1990 - Philosophical Review 101 (4):893-895.
  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.  11
    Choices: An Introduction to Decision Theory.Ellery Eells & Michael D. Resnik - 1990 - Philosophical Review 99 (2):272.
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  10. Choices: An Introduction to Decision Theory.Michael D. Resnik - 1990 - Behavior and Philosophy 18 (2):73-78.
     
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  11.  11
    Gottlob Frege. [REVIEW]Michael D. Resnik - 1983 - Philosophical Review 92 (1):122-125.
  12. Holistic Realism: A Response to Katz on Holism and Intuition.Michael D. Resnik & Nicoletta Orlandi - 2003 - Philosophical Forum 34 (3-4):301-315.
  13.  88
    Mathematics as a Science of Patterns: Epistemology.Michael D. Resnik - 1982 - Noûs 16 (1):95-105.
  14. How Nominalist is Hartry Field's Nominalism?Michael D. Resnik - 1985 - Philosophical Studies 47 (2):163 - 181.
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  15. Immanent Truth.Michael D. Resnik - 1990 - Mind 99 (395):405-424.
  16.  6
    Frege: Philosophy of Mathematics.Michael D. Resnik - 1993 - Philosophy and Phenomenological Research 53 (4):961-963.
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  17.  9
    Second-Order Logic Still Wild.Michael D. Resnik - 1988 - Journal of Philosophy 85 (2):75-87.
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  18. 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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  19.  79
    The Frege-Hilbert Controversy.Michael David Resnik - 1974 - Philosophy and Phenomenological Research 34 (3):386-403.
  20. 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.
  21.  37
    Bostock David. Logic and Arithmetic. Volume 1. Natural Numbers. The Clarendon Press, Oxford University Press, Oxford 1974, X + 219 Pp.Bostock David. Logic and Arithmetic. Volume 2. Rational and Irrational Numbers. The Clarendon Press, Oxford University Press, Oxford 1979, Ix + 307 Pp. [REVIEW]Michael D. Resnik - 1982 - Journal of Symbolic Logic 47 (3):708-713.
  22. 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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  23. Reasoning in Medicine an Introduction to Clinical Inference.Daniel A. Albert, Ronald Munson & Michael D. Resnik - 1988
  24.  47
    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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  25.  37
    On the Foundations of Geometry and Formal Theories of Arithmetic.Michael D. Resnik - 1973 - Philosophical Review 82 (2):266-269.
  26.  12
    Holistic Mathematics.Michael D. Resnik - 1998 - In Matthias Schirn (ed.), The Philosophy of Mathematics Today. Clarendon Press. pp. 227--46.
  27. Revising Logic.Michael D. Resnik - 2004 - In Graham Priest, J. C. Beall & Bradley Armour-Garb (eds.), The Law of Non-Contradiction. Clarendon Press.
  28.  8
    Frege and the Philosophy of Mathematics.Gottlob Frege.Michael D. Resnik & Hans D. Sluga - 1984 - Noûs 18 (2):340-346.
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  29.  48
    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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  30.  52
    Frege's Conception of Numbers as Objects. [REVIEW]Michael D. Resnik - 1984 - Journal of Philosophy 81 (12):778-783.
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  31.  18
    Ignacio Angelelli. Introduction. Two Soviet Studies on Frege, by B. V. Birjukov, Translated and Edited by Ignacio Angelelli, D. Reidel Publishing Company, Dordrecht, Holland, 1964, Pp. VII–XVIII. - B. V. Birjukov. On Frege's Works on Philosophical Problems of Mathematics. English Translation of XXXIX 366 by Ignacio Angelelli. D. Reidel Publishing Company, Dordrecht, Holland, 1964, Pp. 1–51. - B. V. Birjukov. The Theory of Sense of Gottlob Frege. English Translation of XXXIX 366 by Ignacio Angelelli. D. Reidel Publishing Company, Dordrecht, Holland, 1964, Pp. 52–99. [REVIEW]Michael D. Resnik - 1974 - Journal of Symbolic Logic 39 (2):355.
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  32.  58
    The Context Principle in Frege's Philosophy.Michael David Resnik - 1967 - Philosophy and Phenomenological Research 27 (3):356-365.
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  33.  15
    Review of J. Azzouni, Metaphysical Myths, Mathematical Practice: The Ontology and Epistemology of the Exact Sciences[REVIEW]Michael D. Resnik - 1995 - Philosophia Mathematica 3 (3).
  34.  58
    Computation and Mathematical Empiricism.Michael D. Resnik - 1989 - Philosophical Topics 17 (2):129-144.
  35.  33
    From Frege to Gödel. Jean van Heijenoort.Michael David Resnik - 1968 - Philosophy of Science 35 (1):72-72.
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  36.  97
    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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  37.  15
    Frege.Michael D. Resnik - 1993 - Philosophy and Phenomenological Research 53 (4):961-963.
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  38.  42
    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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  39.  23
    Review of M. Przelecki, The Logic of Empirical Theories[REVIEW]Michael David Resnik - 1972 - Philosophy of Science 39 (3):421-.
  40.  31
    Kleine Schriften. Gottlob Frege, Ignacio Angelelli. [REVIEW]Michael David Resnik - 1968 - Philosophy of Science 35 (4):424-425.
  41.  45
    A Naturalized Epistemology for a Platonist Mathematical Ontology.Michael D. Resnik - 1989 - Philosophica 43.
  42.  24
    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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  43.  46
    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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  44.  37
    A Restriction on a Theorem of Harsanyi.Michael D. Resnik - 1983 - Theory and Decision 15 (4):309-320.
  45.  26
    Constructibility and Mathematical Existence.Michael D. Resnik - 1992 - Journal of Philosophy 89 (12):648.
  46.  33
    Realistic Rationalism.Michael D. Resnik - 1999 - Journal of Philosophy 96 (4):207-211.
  47.  68
    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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  48.  54
    On Skolem's Paradox.Michael David Resnik - 1966 - Journal of Philosophy 63 (15):425-438.
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  49.  22
    A Study of Frege. Jeremy D. B. Walker. [REVIEW]Michael David Resnik - 1967 - Philosophy of Science 34 (3):296-298.
  50. Parsons on Mathematical Intuition and Obviousness.Michael D. Resnik - 2000 - In Gila Sher & Richard L. Tieszen (eds.), Between Logic and Intuition: Essays in Honor of Charles Parsons. Cambridge University Press. pp. 219--231.
     
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