An Ontology of Quantum Mathematics

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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.

V L Vasyukov

Institute of Philosophy Russian Academy of Sciences

Кафедра истории и философии науки; Институт философии РАН; Institute of Philosophy Russian Academy of Sciences

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