Krause, Décio (2021) Non-Reflexive Logics: Logics that Derogate the Standard Theory of Identity. [Preprint]

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Abstract

In this paper an outline of a class of heterodox logics is presented. These systems, roughly speaking, question the standard notion of iden- tity as given by classical logic and standard mathematics. Due to the apparent fundamentality of this notion, it is necessary to provide a strong motivation for the elaboration of such systems, and perhaps the main one comes from quantum mechanics. This link is mentioned, and some refer- ences are made, but no details are presented; the references provide more detailed works. We just describe some non-reflexive logics and mathemat- ics, ending with a general discussion about the necessity of identity.

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Item Type:	Preprint
Creators:	Creators Email ORCID Krause, Décio 0000-0003-0463-2796
Keywords:	non-reflexive logics, non-classical logics, principle of identity, classical theory of identity
Subjects:	Specific Sciences > Mathematics > Logic
Depositing User:	Prof. Décio Krause
Date Deposited:	23 Jun 2021 19:04
Last Modified:	23 Jun 2021 19:04
Item ID:	19222
Subjects:	Specific Sciences > Mathematics > Logic
Date:	22 June 2021
URI:	https://philsci-archive.pitt.edu/id/eprint/19222

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