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A System of Logistic

Cambridge, MA, USA: Harvard University Press (1934)

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  1. The Genealogy of ‘∨’.Landon D. C. Elkind & Richard Zach - 2022 - Review of Symbolic Logic 16 (3):862-899.
    The use of the symbol ∨for disjunction in formal logic is ubiquitous. Where did it come from? The paper details the evolution of the symbol ∨ in its historical and logical context. Some sources say that disjunction in its use as connecting propositions or formulas was introduced by Peano; others suggest that it originated as an abbreviation of the Latin word for “or,” vel. We show that the origin of the symbol ∨ for disjunction can be traced to Whitehead and (...)
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  • Cognitive metaphysics.Lieven Decock - 2018 - Frontiers in Psychology 11:1700.
    In recent years philosophers have been interested in the methodology of metaphysics. Most of these developments are related to formal work in logic or physics, often against the backdrop of the Carnap-Quine debate on ontology. Drawing on Quine’s later work, I argue that a psychological or cognitive perspective on metaphysical topics may be a valuable addition to contemporary metametaphysics. The method is illustrated by means of cognitive studies of the notions “identity,” “vagueness,” and “object” and is compared to other extant (...)
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  • Sign and Object : Quine’s forgotten book project.Sander Verhaegh - 2019 - Synthese 196 (12):5039-5060.
    W. V. Quine’s first philosophical monograph, Word and Object, is widely recognized as one of the most influential books of twentieth century philosophy. Notes, letters, and draft manuscripts at the Quine Archives, however, reveal that Quine was already working on a philosophical book in the early 1940s; a project entitled Sign and Object. In this paper, I examine these and other unpublished documents and show that Sign and Object sheds new light on the evolution of Quine’s ideas. Where “Two Dogmas (...)
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  • (1 other version)Ruth Barcan Marcus and quantified modal logic.Frederique Janssen-Lauret - 2021 - British Journal for the History of Philosophy 30 (2):353-383.
    Analytic philosophy in the mid-twentieth century underwent a major change of direction when a prior consensus in favour of extensionalism and descriptivism made way for approaches using direct reference, the necessity of identity, and modal logic. All three were first defended, in the analytic tradition, by one woman, Ruth Barcan Marcus. But analytic philosophers now tend to credit them to Kripke, or Kripke and Carnap. I argue that seeing Barcan Marcus in her historical context – one dominated by extensionalism and (...)
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  • (1 other version)Ruth Barcan Marcus and quantified modal logic.Frederique Janssen-Lauret - 2022 - British Journal for the History of Philosophy 30 (2):353-383.
    ABSTRACT Analytic philosophy in the mid-twentieth century underwent a major change of direction when a prior consensus in favour of extensionalism and descriptivism made way for approaches using direct reference, the necessity of identity, and modal logic. All three were first defended, in the analytic tradition, by one woman, Ruth Barcan Marcus. But analytic philosophers now tend to credit them to Kripke, or Kripke and Carnap. I argue that seeing Barcan Marcus in her historical context – one dominated by extensionalism (...)
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  • Analytical Critiques of Whitehead's Metaphysics.Leemon B. Mchenry & George W. Shields - 2016 - Journal of the American Philosophical Association 2 (3):483-503.
    ABSTRACT:Analytic philosophers have criticized A. N. Whitehead's metaphysics for being obscure, yet several such philosophers have espoused positions in metaphysics and philosophy of mind that were advanced by Whitehead in the 1920s. In this paper, we evaluate the merits and demerits of these criticisms by Bertrand Russell, W. V. Quine, Karl Popper, and others and then demonstrate the affinities and contrasts in the positions advanced by Galen Strawson, David Chalmers, Thomas Nagel, and Whitehead regarding so-called ‘analytic panexperientialism’.
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  • Constructibility as a criterion for existence.Barkley Rosser - 1936 - Journal of Symbolic Logic 1 (1):36-39.
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  • (1 other version)The empty set, the Singleton, and the ordered pair.Akihiro Kanamori - 2003 - Bulletin of Symbolic Logic 9 (3):273-298.
    For the modern set theorist the empty set Ø, the singleton {a}, and the ordered pair 〈x, y〉 are at the beginning of the systematic, axiomatic development of set theory, both as a field of mathematics and as a unifying framework for ongoing mathematics. These notions are the simplest building locks in the abstract, generative conception of sets advanced by the initial axiomatization of Ernst Zermelo [1908a] and are quickly assimilated long before the complexities of Power Set, Replacement, and Choice (...)
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  • (1 other version)A minimum calculus for logic.Frederic B. Fitch - 1944 - Journal of Symbolic Logic 9 (4):89-94.
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  • (1 other version)On the theory of types.W. V. Quine - 1938 - Journal of Symbolic Logic 3 (4):125-139.
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  • An interpretation of logical formulas.Jean A. Phillips - 1959 - Theoria 25 (3):158-172.
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