𝒏−Fold 𝒎−Valued Logic

Abstract

attachedIn 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 ‘𝑛𝑛 −fold 𝑚𝑚 − valued logic’ (where 𝑛𝑛, 𝑚𝑚 are integers greater than or equal to two). We identify that every branch of logic could be expressed in the form of 𝑛𝑛 −fold 𝑚𝑚 − valued logic. We explain the problem of drawing a tangent to a curve and Zeon's arrow paradox by using the 4 −fold 2 − valued logic. Truth tables for negation, conjunction, disjunction and implication in the 4 −fold 2 − valued logic are discussed in this paper.