Truth determinants. Another theory of meaning for propositional connectives

Abstract

The truth-functional theory of meaning for the propositional connectives is contrasted with a truth-determinantal theory that does not see the compound as a function of the truth value of the components, but nonetheless as related in conformity with the truth tables. this gives rise to a different propositional logic where we cannot conclude from a denial of a conditional or a disjunction to specific truth values of the components. it is thus not overtly unsound like traditional truth-functional logic, but able to validate a fair number of inferences within mathematics and daily life.