Logica Universalis Webinar - July 10, 4pm - CET Speaker: Fabien Schang Title: Quantifying Statements (Why ‘Every Thing’ is Not ‘Everything’, Among Other ‘Thing’s) Abstract: The present paper wants to develop a formal semantics about a special class of formulas: quantifying statements, which are a kind of predicative statements where both subject- and predicate terms are quantifier expressions like ‘everything’, ‘something’, and ‘nothing’. After showing how talking about nothingness makes sense despite philosophical objections, I contend that there are two sorts of meaning in phrases including ‘thing’, viz. as an individual (e.g. ‘some thing’) or as a property (e.g. ‘something’). Then I display two kinds of logical forms for quantifying statements, depending on how these ‘thing’s are ordered into a whole prediction. Finally, an algebraic semantics is proposed for the finite set of quantifying statements to order these into a (fragmentary) dodecagon of logical relations. The corresponding Sub-Model Semantics (hereafter: SMS) aims to update the usual theory of opposition whilst leading to a research program for other kinds of statements like categorical and even modal propositions. https://link.springer.com/article/10.1007/s11787-024-00352-4
Associate Organization: Archives Henri Poincaré presented by Andrei Rodin with the participation of Frida Trotter, publishing editor of Publications des Archives Henri Poincaré Publications of the Henri Poincaré Archives https://www.springer.com/series/6872 Chair: Sayantan Roy Editorial Assistant Logica Universalis Everybody is welcome to attend, register here: https://cassyni.com/s/logica-universalis/seminars/ Jean-Yves Beziau Editor-in-Chief Logica Universalis Organizer Logica Universalis Webinar http://www.jyb-logic.org/
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