Square of Opposition Under Coherence

Pfeifer, Niki und Sanfilippo, Giuseppe (2017): Square of Opposition Under Coherence. In: Soft Methods for Data Science, Bd. 456: S. 407-414

Abstract

Various semantics for studying the square of opposition have been proposed recently. So far, only [14] studied a probabilistic version of the square where the sentences were interpreted by (negated) defaults. We extend this work by interpreting sentences by imprecise (set-valued) probability assessments on a sequence of conditional events. We introduce the acceptability of a sentence within coherence-based probability theory. We analyze the relations of the square in terms of acceptability and show how to construct probabilistic versions of the square of opposition by forming suitable tripartitions. Finally, as an application, we present a new square involving generalized quantifiers.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Philosophie, Wissenschaftstheorie und Religionswissenschaft > Munich Center for Mathematical Philosophy (MCMP)
• Themengebiete: 100 Philosophie und Psychologie > 100 Philosophie ; 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 2194-5357
• Sprache: Englisch