PhilSci Archive

Non-Reflexive Logical Foundation for Quantum Mechanics

da Costa, Newton C. A. and de Ronde, Christian (2014) Non-Reflexive Logical Foundation for Quantum Mechanics.

[img]
Preview
PDF
Non-ReflexiveQM_REVISED_-_FOP_IIQM.pdf

Download (245kB)

Abstract

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.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
da Costa, Newton C. A.
de Ronde, Christiancderonde@gmail.com
Keywords: identity, non-reflexive logic, interpretation of quantum mechanics.
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Christian de Ronde
Date Deposited: 09 Dec 2014 15:11
Last Modified: 09 Dec 2014 15:11
Item ID: 11188
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: December 2014
URI: https://philsci-archive.pitt.edu/id/eprint/11188

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item