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A choice-semantical approach to theoretical truth
Authors:Holger Andreas  Georg Schiemer
Affiliation:1. Department of Philosophy, University of British Columbia, Canada;2. Munich Center for Mathematical Philosophy, LMU, Munich, Germany;3. Department of Philosophy, University of Vienna, Austria;1. Johannes Kepler University Linz, Altenberger Straße 69, 4040 Linz, Austria;2. IIIA-CSIC, Campus of the UAB s/n, 08193 Bellaterra, Spain
Abstract:A central topic in the logic of science concerns the proper semantic analysis of theoretical sentences, that is sentences containing theoretical terms. In this paper, we present a novel choice-semantical account of theoretical truth based on the epsilon-term definition of theoretical terms. Specifically, we develop two ways of specifying the truth conditions of theoretical statements in a choice functional semantics, each giving rise to a corresponding logic of such statements. In order to investigate the inferential strength of these logical systems, we provide a translation of each truth definition into a modal definition of theoretical truth. Based on this, we show that the stronger notion of choice-semantical truth captures more adequately our informal semantic understanding of scientific statements.
Keywords:Theoretical truth  Theoretical terms  Rudolf Carnap  Logic of science  Epsilon logic  Choice semantics
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