n-Fold m-Valued Logic

Abstract

In this paper, the basic concepts of two valued logic, many valued logic and catuskoti logic are discussed. We comprehensively analyzed the statement in different branches of logic. We define a ‘fold’ and a ‘statement’ in catuskoti. We further defined a ‘fold’ in general, a ‘multi valued statement’ and ‘ fold   valued logic’ (where  are integers greater than or equal to two). We identify that every branch of logic could be expressed in the form of fold  valued logic. We explain the problem of drawing a tangent to a curve and Zeon's arrow paradox by using the fold  valued logic. Truth tables for negation, conjunction, disjunction and implication in the fold  valued logic are discussed in this paper.