A Finitely Axiomatized Non-Classical First-Order Theory Incorporating Category Theory and Axiomatic Set Theory

It is well known that Zermelo-Fraenkel Set Theory (ZF), despite its usefulness as a foundational theory for mathematics, has two unwanted features: it cannot be written down explicitly due to its infinitely many axioms, and it has a countable model due to the Löwenheim–Skolem theorem. This paper pre...

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Bibliographic Details
Main Author: Marcoen J. T. F. Cabbolet
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/10/2/119