An Ontology of Quantum Mathematics

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.

Keywords

• онтология
• квантовая математика
• неклассическая логика
• теория множеств
• квантосы