To What Type of Logic Does the "Tetralemma" Belong?

TL;DR

This paper explores how the tetralemma, a traditional logical structure, aligns with non-classical logics inspired by quantum physics, suggesting historical recognition of such logics in Indian philosophy.

Contribution

It links the tetralemma to anhomomorphic logics from quantum physics, proposing a historical perspective on non-classical logics in Indian thought.

Findings

Tetralemma aligns with anhomomorphic quantum logics

Non-classical logics may have been recognized in ancient India

Quantum-inspired logics can explain traditional logical structures

Abstract

Although the so called tetralemma might seem to be incompatible with any recognized scheme of logical inference, its four alternatives arise naturally within the anhomomorphic logics which have been proposed in order to accommodate certain features of microscopic (i.e. quantum) physics. This suggests that the possibility of similar, "non-classical" logics might have been recognized in India at the time when Buddhism arose.