INVESTIGADORES
DE RONDE Christian
artículos
Título:
Non-Reflexive Logical Foundation for Quantum Mechanics
Autor/es:
NEWTON DA COSTA; CHRISTIAN DE RONDE
Revista:
FOUNDATIONS OF PHYSICS
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2014 vol. 44 p. 1369 - 1380
ISSN:
0015-9018
Resumen:
On the one hand, non-reflexive logics are logics in which the principle of identity does not hold in general. On the other hand, quantum mechanics has difficulties regarding the interpretation of ?particles? and their identity, also known in the literature as ?the problem of indistinguishable particles?. In this article, we will argue that non-reflexive logics can be a useful tool to account for such quantum indistinguishability. In particular, we will provide a particular non-reflexive logic that can help us to analyze and discuss this problem. From a more general physical perspective, we will also analyze the limits imposed by the orthodox quantum formalism to consider the existence of indistinguishable particles in the first place, and argue that non-reflexive logics can also help us to think beyond the limits of classical identity.