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An Ontology of Quantum Mathematics
- Authors: Vasyukov VL1
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Affiliations:
- Institute of Philosophy Russian Academy of Sciences
- Issue: No 3 (2009)
- Pages: 57-70
- Section: Articles
- URL: https://journals.rudn.ru/philosophy/article/view/11724
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Abstract
A claim that mathematics would be formalized within the framework of a non-classical logic would be accepted in a twofold manner. It caused by the reason that non-classical mathematics ontology (universe) might be either global or local regarding not only classical but all other non-classical mathematics ontology. The construction of quantos (quantum topos) as categorical global universe allows to extend this claim for the case of quantum mathematics.
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About the authors
V L Vasyukov
Institute of Philosophy Russian Academy of SciencesКафедра истории и философии науки; Институт философии РАН; Institute of Philosophy Russian Academy of Sciences
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