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Forthcoming articles
  1.  19
    Carlo Cellucci (forthcoming). Frege on Thinking and Its Epistemic Significance. History and Philosophy of Logic:1-3.
  2. Phil Corkum (forthcoming). Is Aristotle's Syllogistic a Logic? History and Philosophy of Logic.
    Much of the last fifty years of scholarship on Aristotle’s syllogistic suggests a conceptual framework under which the syllogistic is a logic, a system of inferential reasoning, only if it is not a theory or formal ontology, a system concerned with general features of the world. In this paper, I will argue that this a misleading interpretative framework. The syllogistic is something sui generis: by our lights, it is neither clearly a logic, nor clearly a theory, but rather exhibits certain (...)
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  3. Panu Raatikainen (forthcoming). Neo-Logicism and its Logic. History and Philosophy of Logic.
    The rather unrestrained use of second-order logic in the neo-logicist program is critically examined. It is argued in some detail that it brings with it genuine set-theoretical existence assumptions, and that the mathematical power that Hume’s Principle seems to provide, in the derivation of Frege’s Theorem, comes largely from the “logic” assumed rather than from Hume’s principle. It is shown that Hume’s principle is in reality not stronger than the very weak Robinson Arithmetic Q. Consequently, only few rudimentary facts of (...)
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  4. Stefan Heßbrüggen-Walter (forthcoming). Thinking About Persons: Loci Personarum in Humanist Dialectic Between Agricola and Keckermann. History and Philosophy of Logic:1-23.
    Loci personarum, ‘topics for persons’ were used in Latin rhetoric for the description of persons, their external circumstances, physical attributes, or qualities of character. They stood in the way of fusing rhetoric and dialectic, the goal of sixteenth-century ‘humanistic’ logic: the project of a unified theory of invention depends on the exclusion of loci personarum from the domain of dialectic proper. But still they cannot easily be replaced in the class room. Bartholomaeus Keckermann resolved these difficulties: he proposed to abandon (...)
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  5.  2
    Laureano Luna (forthcoming). Rescuing Poincaré From Richard’s Paradox. History and Philosophy of Logic:1-15.
    Poincaré in a 1909 lecture in Göttingen proposed a solution to the apparent incompatibility of two results as viewed from a definitionist perspective: on the one hand, Richard?s proof that the definitions of real numbers form a countable set and, on the other, Cantor?s proof that the real numbers make up an uncountable class. Poincaré argues that, Richard?s result notwithstanding, there is no enumeration of all definable real numbers. We apply previous research by Luna and Taylor on Richard?s paradox, indefinite (...)
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  6. Mendelsohn Joshua (forthcoming). Term Kinds and the Formality of Aristotelian Modal Logic. History and Philosophy of Logic:1-28.
    Recent formalizations of Aristotle's modal syllogistic have made use of an interpretative assumption with precedent in traditional commentary: That Aristotle implicitly relies on a distinction between two classes of terms. I argue that the way Rini employs this distinction undermines her attempt to show that Aristotle gives valid proofs of his modal syllogisms. Rini does not establish that Aristotle gives valid proofs of the arguments which she takes to best represent Aristotle's modal syllogisms, nor that Aristotle's modal syllogisms are instances (...)
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  7.  4
    Madeline Muntersbjorn (forthcoming). Mathematical Knowledge and the Interplay of Practices. History and Philosophy of Logic:1-4.
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  8.  2
    David Parsons (forthcoming). R. M. Martin’s Logic of Belief. History and Philosophy of Logic:1-15.
    In this paper I revisit R. M. Martin?s logic of belief. As with much of Martin?s work, his formal studies into belief and belief reports have gone largely unnoticed. However, in my article I suggest reasons for thinking that these studies warrant revisiting. One reason is that Martin adopted an account of the notion of belief which was more comprehensive than that employed by most rival theorists. Another reason is that Martin couched his theory in a formal pragmatics which utilised (...)
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  9.  3
    F. Pataut (forthcoming). Le Nécessaire Et L’Universel—Analyse Et Critique de Leur Corrélation. History and Philosophy of Logic:1-3.
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  10.  11
    Shahid Rahman (forthcoming). Essay on Russell on Modalities and Frege on Judgement. History and Philosophy of Logic.
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  11.  14
    Mark Van Atten & Göran Sundholm (forthcoming). L.E.J. Brouwer's ‘Unreliability of the Logical Principles’: A New Translation, with an Introduction. History and Philosophy of Logic:1-24.
    We present a new English translation of L.E.J. Brouwer's paper?De onbetrouwbaarheid der logische principes? of 1908, together with a philosophical and historical introduction. In this paper Brouwer for the first time objected to the idea that the Principle of the Excluded Middle is valid. We discuss the circumstances under which the manuscript was submitted and accepted, Brouwer's ideas on the principle of the excluded middle, its consistency and partial validity, and his argument against the possibility of absolutely undecidable propositions. We (...)
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  12.  2
    George Weaver (forthcoming). König's Infinity Lemma and Beth's Tree Theorem. History and Philosophy of Logic:1-9.
    König, D. [1926. ‘Sur les correspondances multivoques des ensembles’, Fundamenta Mathematica, 8, 114–34] includes a result subsequently called König's Infinity Lemma. Konig, D. [1927. ‘Über eine Schlussweise aus dem Endlichen ins Unendliche’, Acta Litterarum ac Scientiarum, Szeged, 3, 121–30] includes a graph theoretic formulation: an infinite, locally finite and connected graph includes an infinite path. Contemporary applications of the infinity lemma in logic frequently refer to a consequence of the infinity lemma: an infinite, locally finite tree with a root has (...)
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