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Inferentializing Consequence
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SYSNO ASEP 0343032 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Inferentializing Consequence Author(s) Peregrin, Jaroslav (FLU-F) RID, ORCID, SAI Source Title The Logica Yearbook 2008. - London : College Publications, 2009 / Peliš M. - ISBN 978-1-904987-46-8 Pages s. 147-160 Number of pages 14 s. Action Logica 2008 Event date 16.06.2008-20.06.2008 VEvent location Hejnice Country CZ - Czech Republic Event type EUR Language eng - English Country GB - United Kingdom Keywords inferentializability ; semantic systems Subject RIV AA - Philosophy ; Religion R&D Projects GA401/07/0904 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z90090514 - FLU-F (2005-2011) Annotation We know that the relation of inference as instituted by any of the common axiom systems of the classical propositional calculus coincides with the relation of consequence defined in terms of the truth tables; whereas the situation is a little bit more complicated w.r.t. the first-order predicate calculus; no coincidence obtains for second-order predicate calculus (with the standard semantics). This makes us consider the problem of "inferentializability": Which kinds of relation of consequence are "inferentializable" in the sense that they coincide with a relation of inferability by means of some collection of rules? In this paper we develop a general framework for the investigation of this problem and prove some results. Workplace Institute of Philosophy Contact Chlumská Simona, chlumska@flu.cas.cz ; Tichá Zuzana, asep@flu.cas.cz Tel: 221 183 360 Year of Publishing 2011
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