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Non-Reflexive Logics: Logics that Derogate the Standard Theory of Identity

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:
CreatorsEmailORCID
Krause, Décio0000-0003-0463-2796
Keywords: non-reflexive logics, non-classical logics, principle of identity, classical theory of identity
Subjects: Specific Sciences > Mathematics > Logic
Depositing User: 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: http://philsci-archive.pitt.edu/id/eprint/19222

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