2012/11/21 by Federico Holik, Holik, Federico, A. Plastino +3 · 1 citation
Computer Science · #Advanced Algebra and Logic #FOS: Physical sciences #Logic, Reasoning, and Knowledge #Quantum Physics (quant-ph) #Rough Sets and Fuzzy Logic
paper · pdf · doi:10.48550/arxiv.1211.4952
openalex publication_date 2012/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the origin of quantum probabilities as arising from non-boolean propositional-operational structures. We apply the method developed by Cox to non distributive lattices and develop an alternative formulation of non-Kolmogorvian probability measures for quantum mechanics. By generalizing the method presented in previous works, we outline a general framework for the deduction of probabilities in general propositional structures represented by lattices (including the non-distributive case).