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Charles S. Chihara [37]Charles Chihara [26]Charles Seiyo Chihara [2]
  1. Constructibility and mathematical existence.Charles S. Chihara - 1990 - New York: Oxford University Press.
    This book is concerned with `the problem of existence in mathematics'. It develops a mathematical system in which there are no existence assertions but only assertions of the constructibility of certain sorts of things. It explores the philosophical implications of such an approach through an examination of the writings of Field, Burgess, Maddy, Kitcher, and others.
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  2. Ontology and the vicious-circle principle.Charles S. Chihara - 1973 - Ithaca [N.Y.]: Cornell University Press.
  3. (1 other version)The worlds of possibility: modal realism and the semantics of modal logic.Charles S. Chihara - 1998 - New York: Oxford University Press.
    A powerful challenge to some highly influential theories, this book offers a thorough critical exposition of modal realism, the philosophical doctrine that many possible worlds exist of which our own universe is just one. Chihara challenges this claim and offers a new argument for modality without worlds.
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  4. (1 other version)The semantic paradoxes: A diagnostic investigation.Charles Chihara - 1979 - Philosophical Review 88 (4):590-618.
  5. Operationalism and ordinary language: A critique of Wittgenstein.Charles S. Chihara & Jerry A. Fodor - 1965 - American Philosophical Quarterly 2 (4):281-95.
    This paper explores some lines of argument in wittgenstein's post-Tractatus writings in order to indicate the relations between wittgenstein's philosophical psychology, On the one hand, And his philosophy of language, His epistemology, And his doctrines about the nature of philosophical analysis on the other. The authors maintain that the later writings of wittgenstein express a coherent doctrine in which an operationalistic analysis of confirmation and language supports a philosophical psychology of a type the authors call "logical behaviorism." they also maintain (...)
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  6.  77
    The dutch book argument: Its logical flaws, its subjective sources.Ralph Kennedy & Charles Chihara - 1979 - Philosophical Studies 36 (1):19 - 33.
  7. A Structural Account of Mathematics.Charles Chihara - 2005 - Bulletin of Symbolic Logic 11 (1):79-83.
     
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  8. Some problems for bayesian confirmation theory.Charles S. Chihara - 1987 - British Journal for the Philosophy of Science 38 (4):551-560.
  9. On the possibility of completing an infinite process.Charles S. Chihara - 1965 - Philosophical Review 74 (1):74-87.
  10. The Worlds of Possibility: Modal Realism and the Semantics of Modal Logic.Charles Chihara - 2001 - Philosophical Quarterly 51 (202):108-110.
  11.  73
    The semantic paradoxes: Some second thoughts.Charles Chihara - 1984 - Philosophical Studies 45 (2):223 - 229.
  12.  48
    Quine and the Confirmational Paradoxes.Charles Chihara - 1981 - Midwest Studies in Philosophy 6 (1):425-452.
  13.  86
    Wittgenstein's analysis of the paradoxes in his lectures on the foundations of mathematics.Charles S. Chihara - 1977 - Philosophical Review 86 (3):365-381.
  14.  74
    The surprise examination paradox.James McLelland & Charles Chihara - 1975 - Journal of Philosophical Logic 4 (1):71 - 89.
  15.  59
    Nominalism.Charles Chihara - 2005 - In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford and New York: Oxford University Press. pp. 483--514.
    Nominalism is the view that abstract mathematical objects like numbers, functions, and sets do not exist. The chapter articulates and defends a variety of nominalism, based on a reading of mathematical statements in terms of possible linguistic constructions. The chapter responds directly to a recent study of nominalism by Gideon Rosen and John Burgess, and develops a reply to the Quine-Putnam indispensability argument for the existence of mathematical objects.
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  16.  91
    The Burgess-Rosen critique of nominalistic reconstructions.Charles Chihara - 2007 - Philosophia Mathematica 15 (1):54--78.
    In the final chapter of their book A Subject With No Object, John Burgess and Gideon Rosen raise the question of the value of the nominalistic reconstructions of mathematics that have been put forward in recent years, asking specifically what this body of work is good for. The authors conclude that these reconstructions are all inferior to current versions of mathematics (or science) and make no advances in science. This paper investigates the reasoning that led to such a negative appraisal, (...)
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  17. A Gödelian Thesis Regarding Mathematical Objects: Do They Exist? And Can We Perceive Them?Charles S. Chihara - 1982 - Philosophical Review 91 (2):211-227.
  18. On alleged refutations of mechanism using Godel's incompleteness results.Charles S. Chihara - 1972 - Journal of Philosophy 69 (September):507-26.
  19.  64
    The many persons problem.Charles S. Chihara - 1994 - Philosophical Studies 76 (1):45 - 49.
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  20. Our ontological commitment to universals.Charles S. Chihara - 1968 - Noûs 2 (1):25-46.
  21.  56
    Church's thesis misconstrued.Jonathan Berg & Charles Chihara - 1975 - Philosophical Studies 28 (5):357 - 362.
  22.  66
    A simple type theory without platonic domains.Charles S. Chihara - 1984 - Journal of Philosophical Logic 13 (3):249 - 283.
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  23.  80
    Priest, the liar, and gödel.Charles S. Chihara - 1984 - Journal of Philosophical Logic 13 (2):117 - 124.
  24.  19
    The Howson-Urbach Proofs of Bayesian Principles.Charles Chihara - 1994 - In Ellery Eells & Brian Skyrms (eds.), Probability and Conditionals: Belief Revision and Rational Decision. New York: Cambridge University Press. pp. 161--178.
  25.  35
    Tarski's Thesis and the Ontology of Mathematics.Charles Chihara - 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. 157--172.
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  26. New directions for nominalist philosophers of mathematics.Charles Chihara - 2010 - Synthese 176 (2):153 - 175.
    The present paper will argue that, for too long, many nominalists have concentrated their researches on the question of whether one could make sense of applications of mathematics (especially in science) without presupposing the existence of mathematical objects. This was, no doubt, due to the enormous influence of Quine's "Indispensability Argument", which challenged the nominalist to come up with an explanation of how science could be done without referring to, or quantifying over, mathematical objects. I shall admonish nominalists to enlarge (...)
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  27.  72
    An interchange on the Popper-Miller argument.Charles S. Chihara & Donald A. Gillies - 1988 - Philosophical Studies 54 (1):1 - 8.
  28.  62
    Davidson's extensional theory of meaning.Charles S. Chihara - 1975 - Philosophical Studies 28 (1):1 - 15.
  29. A biological objection to constructive empiricism.Charles Chihara & Carol Chihara - 1993 - British Journal for the Philosophy of Science 44 (4):653-658.
  30.  55
    Olin, Quine, and the surprise examination.Charles S. Chihara - 1985 - Philosophical Studies 47 (2):191 - 199.
  31.  66
    Truth, meaning, and paradox.Charles S. Chihara - 1976 - Noûs 10 (3):305-311.
  32.  97
    Tharp's 'Myth and Mathematics'.Charles Chihara - 1989 - Synthese 81 (2):153 - 165.
  33.  71
    The mystery of Julius: A paradox in decision theory.Charles S. Chihara - 1995 - Philosophical Studies 80 (1):1 - 16.
  34.  98
    Burgess's `scientific' arguments for the existence of mathematical objects.Charles S. Chihara - 2006 - Philosophia Mathematica 14 (3):318-337.
    This paper addresses John Burgess's answer to the ‘Benacerraf Problem’: How could we come justifiably to believe anything implying that there are numbers, given that it does not make sense to ascribe location or causal powers to numbers? Burgess responds that we should look at how mathematicians come to accept: There are prime numbers greater than 1010That, according to Burgess, is how one can come justifiably to believe something implying that there are numbers. This paper investigates what lies behind Burgess's (...)
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  35.  8
    Cardinality and Number Theory.Charles S. Chihara - 1990 - In Constructibility and mathematical existence. New York: Oxford University Press.
    The fundamentals of cardinality theory are laid out within the framework of the Constructibility Theory. Finite cardinality theory is developed along the lines described by Frege in his Foundations of Arithmetic, and applications of theory are discussed.
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  36.  5
    Constructibility and Open‐Sentences.Charles S. Chihara - 1990 - In Constructibility and mathematical existence. New York: Oxford University Press.
    Since the constructibility quantifiers, used in the mathematical system to be developed, will all assert the constructibility of open sentences, an explanation is given of the kinds of open sentences that will be asserted to be constructible. Each of these open sentences will be assigned to a specific ‘level’, depending on the kind of objects or open sentences that can satisfy it, thus providing the basis for the Simple Type Theoretical characteristic of the system to be developed. The satisfaction relation (...)
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  37.  38
    Cohen's defense of cook.Charles S. Chihara - 1976 - Philosophical Studies 29 (5):353 - 355.
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  38.  8
    Deflationism and Mathematical Truth.Charles S. Chihara - 1990 - In Constructibility and mathematical existence. New York: Oxford University Press.
    Takes up Field's version of Logicism—a position that he calls ‘deflationism’. Unlike traditional Logicists, Field does not analyse mathematical propositions into purely logical ones, but he does analyse mathematical knowledge into logical knowledge. Several objections are raised to deflationism, revolving around Field's contention that mathematics consists mostly of falsehoods. Contends that, although mathematics, literally and platonically construed, is not true, it does convey genuine information.
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  39.  40
    Frege's and Bolzano's rationalist conceptions of arithmetic.Charles Chihara - 1999 - Revue d'Histoire des Sciences 52 (3):343-362.
    In this article, I compare Gottlob Frege's and Bernard Bolzano's rationalist conceptions of arithmetic. Each philosopher worked out a complicated system of propositions, all of which were set forth as true. The axioms, or basic truths, make up the foundations of the subject of arithmetic. Each member of the system which is not an axiom is related (objectively) to the axioms at the base. Even though this relation to the base may not yet be scientifically proven, the propositions of the (...)
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  40.  46
    Guest editors' preface.Charles Chihara & Brian Skyrms - 1989 - Synthese 81 (2):139-139.
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  41.  84
    Horwich's justification of induction.Charles S. Chihara - 1985 - Philosophical Studies 48 (1):107 - 110.
  42.  5
    Kitcher's Ideal Agents.Charles S. Chihara - 1990 - In Constructibility and mathematical existence. New York: Oxford University Press.
    Compares and contrasts Philip Kitcher's Ideal Agent account of mathematics with the constructibility view of this work. Raises a variety of doubts about the cogency of Kitcher's account and points out several weaknesses in the account.
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  43.  67
    Mathematical discovery and concept formation.Charles S. Chihara - 1963 - Philosophical Review 72 (1):17-34.
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  44.  5
    Measurable Quantities and Analysis.Charles S. Chihara - 1990 - In Constructibility and mathematical existence. New York: Oxford University Press.
    Briefly sketches a standard form of the development of analysis within the Constructibility Theory. Then develops an axiomatized theory of lengths, in terms of which a system of rational and real numbers is specified. These developments are used to provide the basis for a theory of functions of real and complex variables.
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  45.  3
    Mathematical Structuralism.Charles S. Chihara - 1990 - In Constructibility and mathematical existence. New York: Oxford University Press.
    The first of six chapters in which rival views are critically evaluated and compared with the Constructibility view described in earlier chapters. The views considered here are those of Stewart Shapiro and Michael Resnik. A number of difficulties with these two views are detailed and it is explained how the Constructibility Theory is not troubled by the problems that Structuralism was explicitly developed to resolve.
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  46.  6
    Maddy's Solution to the Problem of Reference.Charles S. Chihara - 1990 - In Constructibility and mathematical existence. New York: Oxford University Press.
    Penelope Maddy has attempted to develop a form of realism in mathematics that is not plagued by the sort of epistemological problems that beset traditional Platonism. Maddy advances the radical doctrine that we can and do causally interact with sets. We can see them, feel them, smell them, and even taste them. This chapter raises a series of objections to Maddy's version of realism.
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  47.  67
    Operationalism and ordinary language revisited.Charles Chihara - 1973 - Philosophical Studies 24 (3):137 - 157.
    In "human beings", "studies in the philosophy of wittgenstein" (ed. By p winch), J cook presents a radical solution to the problem of other minds and then suggests that this treatment of the problem is to be found in the writings of wittgenstein. According to cook's interpretation, Wittgenstein's analysis of the problem does not involve in any essential way any special doctrines about criteria, Nor does it commit him to any form of behaviorism. In the course of arguing these theses, (...)
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  48. Operationalism and Ordinary Language a Critique of Wittgenstein.Charles Seiyo Chihara & Jerry A. Fodor - 1965 - Bobbs-Merrill.
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  49.  30
    (2 other versions)4. Quine's Lecture on Nominalism from the Perspective of a Nominalist.Charles Chihara - 2008 - Oxford Studies in Metaphysics: Volume 4 4:79.
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  50.  7
    Science Without Numbers.Charles S. Chihara - 1990 - In Constructibility and mathematical existence. New York: Oxford University Press.
    Focuses on Hartry Field's Instrumentalism. The ‘Conservation Theorems’, upon which Field bases so much of his form of Instrumentalism, are examined in detail, as is Field's attempt to ‘nominalize’ physics. Doubts are raised about the adequacy of Field's views of mathematics and physics, and a detailed comparison with the Constructibility Theory is presented.
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