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Forthcoming articles
  1. 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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  2.  13
    David Merry (forthcoming). The Philosopher and the Dialectician in Aristotle's Topics. History and Philosophy of Logic:1-23.
    I claim that, in the Topics, Aristotle advises dialectical questioners to intentionally argue fallaciously in order to escape from some dialectically awkward positions, and I work through the consequences of that claim. It will turn out that, although there are important exceptions, the techniques for finding arguments described in Topics I–VII are, by and large, locations that Aristotle thought of as appropriate for use in philosophical inquiry. The text that grounds this claim, however, raises a further problem: it highlights the (...)
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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.  4
    Francesco Bellucci (forthcoming). Charles S. Peirce and the Medieval Doctrine of Consequentiae. History and Philosophy of Logic:1-25.
    In 1898 C. S. Peirce declares that the medieval doctrine of consequences had been the starting point of his logical investigations in the 1860s. This paper shows that Peirce studied the scholastic theory of consequentiae as early as 1866–67, that he adopted the scholastics’ terminology, and that that theory constituted a source of logical doctrine that sustained Peirce for a lifetime of creative and original work.
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  5.  5
    Luca Castagnoli (forthcoming). Aristotle on the Non-Cause Fallacy. History and Philosophy of Logic:1-24.
    When in classical formal logic the notions of deduction, valid inference and logical consequence are defined, causal language plays no role. The founder of western logic, Aristotle, identified ‘non-cause’, or ‘positing as cause what is not a cause’, as a logical fallacy. I argue that a systematic re-examination of Aristotle's analysis of NCF, and the related language of logical causality, in the Sophistical Refutations, Topics, Analytics and Rhetoric, helps us to understand his conception of. It reveals that Aristotle's syllogismhood is (...)
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  6.  11
    Matthew Duncombe & Catarina Dutilh Novaes (forthcoming). Dialectic and Logic in Aristotle and His Tradition. History and Philosophy of Logic:1-8.
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  7.  10
    Günther Eder (forthcoming). Boolos and the Metamathematics of Quine's Definitions of Logical Truth and Consequence. History and Philosophy of Logic:1-24.
    The paper is concerned with Quine's substitutional account of logical truth. The critique of Quine's definition tends to focus on miscellaneous odds and ends, such as problems with identity. However, in an appendix to his influential article On Second Order Logic, George Boolos offered an ingenious argument that seems to diminish Quine's account of logical truth on a deeper level. In the article he shows that Quine's substitutional account of logical truth cannot be generalized properly to the general concept of (...)
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  8.  8
    Elena Ficara (forthcoming). Treatise on Consequences. History and Philosophy of Logic:1-4.
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  9.  18
    L. M. Geerdink & C. Dutilh Novaes (forthcoming). Varieties of Logic. History and Philosophy of Logic:1-3.
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  10.  1
    Stamatios Gerogiorgakis (forthcoming). Mind the Croc! Rationality Gaps Vis-À-Vis the Crocodile Paradox. History and Philosophy of Logic:1-13.
    This article discusses rationality gaps triggered by self-referential/cyclic choice, the latter being understood as choosing according to a norm that refers to the choosing itself. The Crocodile Paradox is reformulated and analyzed as a game—named CP—whose Nash equilibrium is shown to trigger a cyclic choice and to invite a rationality gap. It is shown that choosing the Nash equilibrium of CP conforms to the principles Wolfgang Spohn and Haim Gaifman introduced to, allegedly, guarantee acyclicity but, in fact, does not prevent (...)
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  11.  7
    M. Hartimo (forthcoming). Essays on Gödel's Reception of Leibniz, Husserl, and Brouwer. History and Philosophy of Logic:1-3.
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  12.  2
    John Kadvany (forthcoming). Pāṇini's Grammar and Modern Computation. History and Philosophy of Logic:1-22.
    Pāṇini's fourth century BC Sanskrit grammar uses rewrite rules utilizing an explicit formal language defined through a semi-formal metalanguage. The grammar is generative, meaning that it is capable of expressing a potential infinity of well-formed Sanskrit sentences starting from a finite symbolic inventory. The grammar's operational rules involve extensive use of auxiliary markers, in the form of Sanskrit phonemes, to control grammatical derivations. Pāṇini's rules often utilize a generic context-sensitive format to identify terms used in replacement, modification or deletion operations. (...)
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  13.  3
    Gregory Landini (forthcoming). Whitehead's Emended Principia. History and Philosophy of Logic:1-56.
    There are many wonderful puzzles concerning Principia Mathematica, but none are more striking than those arising from the crisis that befell Whitehead in November of 1910. Volume 1 appeared in December of 1910. Volume 2 on cardinal numbers and Russell's relation arithmetic might have appeared in 1911 but for Whitehead's having halted the printing. He discovered that inferences involving the typically ambiguous notation ‘Nc‘α’ for the cardinal number of α might generate fallacies. When the volume appeared in 1912, it was (...)
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  14.  7
    M. Marion & H. Rückert (forthcoming). Aristotle on Universal Quantification: A Study From the Point of View of Game Semantics. History and Philosophy of Logic:1-29.
    In this paper we provide an interpretation of Aristotle's rule for the universal quantifier in Topics Θ 157a34–37 and 160b1–6 in terms of Paul Lorenzen's dialogical logic. This is meant as a contribution to the rehabilitation of the role of dialectic within the Organon. After a review of earlier views of Aristotle on quantification, we argue that this rule is related to the dictum de omni in Prior Analytics A 24b28–29. This would be an indication of the dictum’s origin in (...)
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  15.  8
    Shahid Rahman (forthcoming). Essay on Russell on Modalities and Frege on Judgement. History and Philosophy of Logic.
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  16.  7
    James T. Smith (forthcoming). The Philosophy of Mathematics and Logic in the 1920s and 1930s in Poland. History and Philosophy of Logic:1-4.
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  17.  5
    Carrie Swanson (forthcoming). Begging the Question as a Criticism of an Argument in Itself in Topics 8.11. History and Philosophy of Logic:1-45.
    At Topics 8.11 161b19–33 Aristotle lists five criticisms () which may be leveled against a dialectical argument ‘in itself’ (). The five criticisms correspond in many respects to the familiar conditions Aristotle places on syllogism and refutation. However, begging the question —the violation of the condition that the conclusion of a syllogism be something different () from the premises—seems not to appear on the list of five criticisms. That this omission is only apparent becomes clear once it is seen that (...)
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  18.  3
    Paul Thom (forthcoming). Robert Kilwardby's Disputational Logic. History and Philosophy of Logic:1-14.
    The article is concerned with the account of Aristotle's theory of disputation given by Robert Kilwardby in his commentary, composed in Paris during the 1240s, on Aristotle's Prior Analytics. Specifically, I show that Kilwardby covers demonstrative as well as dialectical disputations, and gives an elementary account of the rules governing such disputations, in their adversarial forms as well as in an idealized form where the interlocutors engage in a cooperative activity. I describe the resemblances and the differences between disputations as (...)
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  19.  2
    Russell Wahl (forthcoming). The Palgrave Centenary Companion to Principia Mathematica. History and Philosophy of Logic:1-4.
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