Boolean Two Valued Logic: Its Implications To Epistemology

Abstract

Binary system of Arithmetic had its Philosophical foundation in ancient China but it was later developed by Leibniz whose consciousness of the system was rekindled by his correspondences with Father Jaochim. In his contributions to the intellectual debate that arose in 1848 that catapulted into the relation of mathematics to logic, Boole attempted to reduce logical processes into arithmetic operations by adopting the binary system values of 0 and 1 wherein he asserted that Logic only trains the mind but does not give us knowledge of reality. What is the epistemic implication(s) of Boole’s two valued logic? Can certainty of human knowledge be ascertained in such circumstance? Does Logic give us any knowledge about reality? This article titled: Booleans two valued Logic: its implications to Epistemology adopts the philosophical methods of analysis, criticality and exposition in its attempt to argue that contrary to Boole’s argument, two valued Logic guarantees certainty of knowledge as the negation of the false value (or one proposition) implies the certainty of the other (the true value).