History and Philosophy of Logic 37 (3):201-229 (2016)

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 the context of dialectical games. One consequence of our approach is a novel explanation of the doctrine of the existential import of the quantifiers in dialectical terms. After a brief survey of Lorenzen's dialogical logic, we offer a set of rules for dialectical games based on previous work by Castelnérac and Marion, to which we add here the rule for the universal quantifier, as interpreted in terms of its counterpart in dialogical logic. We then give textual evidence of the use of that rule in Plato's dialogues, thus showing that Aris...
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DOI 10.1080/01445340.2015.1089043
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References found in this work BETA

Philosophical Investigations.Ludwig Josef Johann Wittgenstein - 1953 - New York, NY, USA: Wiley-Blackwell.
Fallacies.Charles Leonard Hamblin - 1970 - London, England: Vale Press.
Introduction to Mathematical Logic.Alonzo Church - 1944 - Princeton: Princeton University Press.

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Citations of this work BETA

Dialogical Logic.Laurent Keiff - 2010 - Stanford Encyclopedia of Philosophy.
Impossibility in the Prior Analytics and Plato's Dialectic.B. Castelnérac - 2015 - History and Philosophy of Logic 36 (4):303-320.
Game Semantics, Quantifiers and Logical Omniscience.Bruno Ramos Mendonça - forthcoming - Logic and Logical Philosophy:1-22.

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