Non-Reflexive Foundation for Quantum Mechanics

NEWTON DA COSTA; CHRISTIAN DE RONDE

Congreso; INTERNATIONAL UNILOG CONGRESS; 2013

Non-Reflexive Logics are logics in which the principle of identity does not hold in general. Quantum mechanics has difficulties regarding the interpretation of particles and their identity, in general these problems are known in the literature as the problems of indistinguishable particles. In this paper we will argue that non-reflexive logics can be a useful tool to account for such quantum indistinguishable particles. From a more general physical perspective we will analyze the limits of considering such indistinguishable particles. We will argue that the problem of identity regarding quantum mechanics is much deeper than commonly acknowledged and that already the Kochen-Specker theorem places limits to discuss about a single particle. We will end up arguing in favor of the possibility to develop an interpretation beyond the notion of ?entity? and the consideration of non-reflexive logics as an important tool for putting forward such a development.