𝒏−Fold 𝒎−Valued Logic

Abstract

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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 ‘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.