Foundations of Mathematics from the Negation of Set Theory and the Redefinition of Category Theory Based on κ–Update Categories

Zenodo (CERN European Organization for Nuclear Research) 2026 Open access

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Authors: Shinichiro Honda
DOI: 10.5281/zenodo.19027558
Cited by: 0

Abstract

This text does not extend ZFC, type theory, or topos theory.It starts by denying their ontological starting point. No primitive notion of: element set membership space time is assumed. Only the following primitives are admitted: E(existence),0(non-existence),U(update) All mathematical structure must be derived, not postulated.

Fields of Study & Subjects

Advanced Topology and Set Theory History and Theory of Mathematics Advanced Algebra and Logic

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
22 February 2026
Language
EN