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THE THEORIES OF QUASI-SETS Q AND Q−: A COMPARISON WITH ZFA ANDZFC, ALONG WITH A GLIMPSE INTO THEIR POSSIBLE APPLICATIONS IN THE QUANTUM DOMAIN

Krause, Décio and Jorge, Juan Pablo (2025) THE THEORIES OF QUASI-SETS Q AND Q−: A COMPARISON WITH ZFA ANDZFC, ALONG WITH A GLIMPSE INTO THEIR POSSIBLE APPLICATIONS IN THE QUANTUM DOMAIN. [Preprint]

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Abstract

Quasi-set theories are forms of quantum set theories that take into account the possibility of conceiving the basic entities as devoid of standard identity conditions. The main purpose of this article is to compare the two versions of
the theory: one with atoms and the other without them, thereby contributing to a clearer understanding of the role played by the different versions.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Krause, Déciodeciokrause@gmail.com
Jorge, Juan Pablojorgejpablo@gmail.com0000-0003-4517-8729
Keywords: Quasi-sets, ZFC, Quantum theory, Leibniz Law, Rigid Structure
Subjects: Specific Sciences > Mathematics > Foundations
Specific Sciences > Mathematics > Logic
Specific Sciences > Mathematics > Ontology
General Issues > Scientific Metaphysics
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Juan Pablo Jorge
Date Deposited: 21 Dec 2025 01:55
Last Modified: 21 Dec 2025 01:55
Item ID: 27573
DOI or Unique Handle: 10.13140/RG.2.2.28698.50882
Subjects: Specific Sciences > Mathematics > Foundations
Specific Sciences > Mathematics > Logic
Specific Sciences > Mathematics > Ontology
General Issues > Scientific Metaphysics
Specific Sciences > Physics > Quantum Mechanics
Date: 2025
URI: https://philsci-archive.pitt.edu/id/eprint/27573

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