Equal cost of computation for truth and falsity of experimental quantum propositions necessitates quantum parallel computing

Algebraic assignments of truth values to experimental quantum propositions

Of what are experimental quantum propositions primary bearers? As it is widely accepted in the modern literature, rather than being bearers of truth and falsity, these entities are bearers of probability values. Consequently, their truth values can be regarded as no more than degenerate probabilities (i.e., ones that have only the values 0 and 1). The mathematical motivation for precedence of probabilistic semantics over propositional semantic for the logic of experimental quantum propositions is Gleason's theorem. It proves that the theory of probability measures on closed linear subspaces of…

Propositional counter-factual definiteness and the EPR paradox

In an empirical logic, an experimentally verifiable proposition P relating to a quantum system is assigned the value of either true of false if the system is in the pure state that belongs or, respectively, does not belong to the Hilbert subspace that represents P. Determined in such a way truth or falsity of P can be termed a factual truth-value of P. In the present paper, it is proposed to consider a counter-factual truth-value of P, i.e., either of the values, true or false, that would have been taken by P if the system had been in a pure state belonging to a Hilbert subspace that does not …

中介模糊逻辑：从类型-1基础到类型-2、类型-3和量子扩展

Mediative Fuzzy Logic: From Type-1 Foundations to Type-2, Type-3 and Quantum Extensions

本文提出中介模糊逻辑的统一框架，通过中介算子处理犹豫和矛盾，建立从类型-1到类型-2、类型-3及量子扩展的语义基础，并证明其可靠性和保守性。