Logical Paradox and Unsoundness in Quantum Physics

Ying Zhang

Iulian D. Toader

Abstract Most believe that there are no empirical grounds that make the adoption of quantum logic necessary. Ian Rumfitt has further argued that this adoption is not possible either, for the proof that distribution fails in quantum mechanics is rule-circular or unsound. I respond to Rumfitt, by showing that neither is the case: rule-circularity disappears when an appropriate semantics is considered, and soundness is restored by slightly modifying standard quantum mechanics. Thus, although this is indeed not necessary, it is however possible to rationally adjudicate against classical logic.

Luigi E. Picasso

Lola Young

The Smarandache Quantum Paradoxes [Nature, Vol. 413, No. 6854] and Smarandache Hypothesis (FTL) are defined as a formal set of (anti-logic) statements inclusive in modern quantum theory. To determine whether they constitute theoretical artifacts or can be considered true physical paradoxes, G Dimensional Theory, a unique, logical and physically congruent system of physics, at significant variance with modern and classical theory, is presented in Sections 3-4. A comparative analysis of the Smarandache quantum paradoxes within context of the two theories follows in Section 5.

Van der Merwe, Alwyn, Gino Tarozzi

Nait Abdallah, M.A.

In this paper, we consider three landmark experiments of quantum physics and discuss the related wave particle duality paradox. We present a formalization, in terms of formal logic, of single photon self-interference. We show that the wave particle duality paradox appears, from the logic point of view, in the form of two distinct fallacies: the hard information fallacy and the exhaustive disjunction fallacy. We show that each fallacy points out some fundamental aspect of quantum physical systems and we present a logic solution to the paradox.