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ALGEBRAIC NEW FOUNDATIONS

Published online by Cambridge University Press:  05 February 2019

PAUL K. GORBOW
PAUL K. GORBOW*
Affiliation:
DEPARTMENT OF PHILOSOPHY, LINGUISTICS, AND THEORY OF SCIENCE UNIVERSITY OF GOTHENBURG BOX 200, 405 30GÖTEBORG, SWEDENE-mail: [email protected]
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Abstract

This paper consists in the formulation of a novel categorical set theory, MLCat, which is proved to be equiconsistent to New Foundations (NF), and which can be modulated to correspond to intuitionistic (denoted with an “I” on the left) or classical NF, with atoms (denoted with a “U” on the right) or not:

Keywords

03C6203E3003E3503G3018C50category theoryset theorynew foundationsNFNFUINFINFUalgebraic set theorytoposendofunctorcategorical semanticsintuitionistic logic
Type
Articles
Information
The Journal of Symbolic Logic , Volume 84 , Issue 2 , June 2019 , pp. 798 - 832
Copyright
Copyright © The Association for Symbolic Logic 2019 

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