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Socratic Proofs for Quantifiers
Authors:Andrzej Wiśniewski  Vasilyi Shangin
Institution:(1) Section of Logic and Cognitive Science, Institute of Psychology, Adam Mickiewicz University, Szamarzewskiego 89, 60-589 Poznań, Poland;(2) Department of Logic, Philosophy Faculty, Moscow State University, Leninskie Gory, 119992 Moscow, Russia
Abstract:First-order logic is formalized by means of tools taken from the logic of questions. A calculus of questions which is a counterpart of the Pure Calculus of Quantifiers is presented. A direct proof of completeness of the calculus is given. *Research for this paper was supported by The Foundation for Polish Science (both authors), and indirectly (in the case of the first author) by a bilateral exchange project funded by the Ministry of the Flemish Community (project BIL 01/80) and the State Committee for Scientific Research, Poland.
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