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The Julio césar problem

Dialectica 59 (2):223–236 (2005)

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  1. Realistic Rationalism.Jerrold J. Katz - 1998 - Bradford.
    In _Realistic Rationalism_, Jerrold J. Katz develops a new philosophical position integrating realism and rationalism. Realism here means that the objects of study in mathematics and other formal sciences are abstract; rationalism means that our knowledge of them is not empirical. Katz uses this position to meet the principal challenges to realism. In exposing the flaws in criticisms of the antirealists, he shows that realists can explain knowledge of abstract objects without supposing we have causal contact with them, that numbers (...)
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  • Frege: Philosophy of Language.Michael Dummett - 1973 - London: Duckworth.
    This highly acclaimed book is a major contribution to the philosophy of language as well as a systematic interpretation of Frege, indisputably the father of ...
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  • Speaking with Shadows: A Study of Neo‐Logicism.Fraser MacBride - 2003 - British Journal for the Philosophy of Science 54 (1):103-163.
    According to the species of neo-logicism advanced by Hale and Wright, mathematical knowledge is essentially logical knowledge. Their view is found to be best understood as a set of related though independent theses: (1) neo-fregeanism-a general conception of the relation between language and reality; (2) the method of abstraction-a particular method for introducing concepts into language; (3) the scope of logic-second-order logic is logic. The criticisms of Boolos, Dummett, Field and Quine (amongst others) of these theses are explicated and assessed. (...)
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  • Speaking with Shadows: A Study of Neo‐logicism.Fraser MacBride - 2003 - British Journal for the Philosophy of Science 54 (1):103-163.
  • The Varieties of Reference.Gareth Evans - 1982 - Oxford University Press.
    Covering the work of Frege, Russell, and more recent work on singular reference, this important book examines the concepts of perceptually-based demonstrative identification, thought about oneself, and recognition-based demonstrative identification.
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  • On the Philosophical Interest of Frege Arithmetic.William Demopoulos - 2003 - Philosophical Books 44 (3):220-228.
  • Finitude and Hume’s Principle.Richard Heck - 1997 - Journal of Philosophical Logic 26 (6):589-617.
    The paper formulates and proves a strengthening of 'Frege's Theorem', which states that axioms for second-order arithmetic are derivable in second-order logic from Hume's Principle, which itself says that the number of Fs is the same as the number of Gs just in case the Fs and Gs are equinumerous. The improvement consists in restricting this claim to finite concepts, so that nothing is claimed about the circumstances under which infinite concepts have the same number. 'Finite Hume's Principle' also suffices (...)
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  • Could Nothing Matter?F. MacBride - 2002 - Analysis 62 (2):125-135.
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  • On Finite Hume.Fraser Macbride - 2000 - Philosophia Mathematica 8 (2):150-159.
    Neo-Fregeanism contends that knowledge of arithmetic may be acquired by second-order logical reflection upon Hume's principle. Heck argues that Hume's principle doesn't inform ordinary arithmetical reasoning and so knowledge derived from it cannot be genuinely arithmetical. To suppose otherwise, Heck claims, is to fail to comprehend the magnitude of Cantor's conceptual contribution to mathematics. Heck recommends that finite Hume's principle be employed instead to generate arithmetical knowledge. But a better understanding of Cantor's contribution is achieved if it is supposed that (...)
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  • Peano, Russell, and Logicism.Herbert Hochberg - 1955 - Analysis 16 (5):118 - 120.
    The author addresses the question as to whether russell and whitehead "provide an explication of the idea that arithmetical truths are tautologies." he thinks their achievement was in developing an axiomatic system in which the "interpreted propositions are tautologies," but not in proving this of mathematics. He thinks the real problem here is the attempt to explicate ordinary language via formally constructed languages. (staff).
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  • Belief and the Basis of Meaning.Donald Davidson - 1974 - Synthese 27 (July-August):309-323.
    A theory of radical interpretation gives the meanings of all sentences of a language, and can be verified by evidence available to someone who does not understand the language. Such evidence cannot include detailed information concerning the beliefs and intentions of speakers, and therefore the theory must simultaneously interpret the utterances of speakers and specify (some of) his beliefs. Analogies and connections with decision theory suggest the kind of theory that will serve for radical interpretation, and how permissible evidence can (...)
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  • Abstract Objects.BOB HALE - 1988 - Blackwell.
  • Could Nothing Matter?Fraser MacBride - 2002 - Analysis 62 (2):125–135.
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  • Frege: Tradition & Influence.Crispin Wright (ed.) - 1984 - Blackwell.
     
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