2025/10/01 by Partha Ghose, Ghose, Partha
Arts and Humanities · Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Mathematical Identities #Context (archaeology) #FOS: Physical sciences #Indian and Buddhist Studies #Meaning (existential) #Paraconsistent logic #Proposition #Propositional calculus #Quantum #Quantum Physics (quant-ph) #Quantum logic #Semantics (computer science) #Unitary state
paper · pdf · doi:10.48550/arxiv.2510.01120
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2025/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The quantum measurement problem is often presented as a conflict between unitary evolution and non-unitary collapse. Drawing on Wittgenstein's later philosophy of language and Bohr's principle of complementarity, we argue that this conflict is a grammatical illusion arising from cross-context conflations. To address this, we introduce a contextual seven-valued logic modeled on the Jaina doctrine of saptabhangīnaya (sevenfold predication). In one formulation, each proposition is assigned a triplet (t,f,u) indicating its status as true, false, or unsayable within a given context, with paraconsistent rules blocking triviality. In another, contexts are explicitly formalized through quantified conditionals, aligning directly with Bohr's view that meaning derives from experimental arrangements. By comparing these two complementary approaches, we show how canonical paradoxes--including Schrödinger's cat and Wigner's friend--dissolve once context is made explicit. The result is a flexible logical framework that reconciles Wittgensteinian conceptual therapy, Bohr's complementarity, and the Jaina pluralistic tradition, offering a coherent semantics for quantum discourse.