Two, many, and differently many

Diderik Batens

pp. 213-242

in: Arnold Koslow, Arthur Buchsbaum (eds), The road to universal logic II, Basel, Birkhäuser, 2015

Abstract

This paper is a modest contribution to a universal logic approach to many-valued semantic systems. The main focus is on the relation between such systems and two-valued ones. The matter is discussed for usual many-valued semantic systems. These turn out to exist for more logics than expected. A new type of many-valued semantics is devised and its use has been illustrated. The discussion that involves truth functionality and the syntactic rendering of truth-values leads to philosophical conclusions.