On the Strangeness of Quantum Mechanics

Abstract

The extravagances of quantum mechanics (QM) never fail to enrich daily the debate around natural philosophy. Entanglement, non-locality, collapse, many worlds, many minds, and subjectivism have challenged generations of thinkers. Its approach can perhaps be placed in the stream of quantum logic, in which the “strangeness” of QM is “measured” through the violation of Bell’s inequalities and, from there, attempts an interpretative path that preserves realism yet ends up overturning it, restating the fundamental mechanisms of QM as a logical necessity for a strong realism.

Appendix 1: Fuzzy Logic Violates WE

Given T, the chosen t-norm and S, the corresponding s-norm, WE is written as

$$\begin{aligned} T(a,c)\leqslant S(T(a,b),T(1-b,c)) \end{aligned}$$

Let $b=0.5<a<c$. And let t-norm $T(x,y)=min(x,y)$ be given, hence s-norm $S(x,y)=max(a,b)$. So:

$$\begin{aligned} \begin{aligned} a&=min(a,c) \\&>max(min(a,b),min(1-b,c)) \\&=max(b,b) \\&=b \end{aligned} \end{aligned}$$