Studia Logica 110 (1):189-218 (2022)

Authors
Giorgio Venturi
University of Campinas
Abstract
We present a generalization of the algebra-valued models of \ where the axioms of set theory are not necessarily mapped to the top element of an algebra, but may get intermediate values, in a set of designated values. Under this generalization there are many algebras which are neither Boolean, nor Heyting, but that still validate \.
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DOI 10.1007/s11225-021-09959-w
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References found in this work BETA

Generalized Algebra-Valued Models of Set Theory.Benedikt Löwe & Sourav Tarafder - 2015 - Review of Symbolic Logic 8 (1):192-205.
On Negation for Non-classical Set Theories.S. Jockwich Martinez & G. Venturi - 2021 - Journal of Philosophical Logic 50 (3):549-570.
Non-classical Models of ZF.S. Jockwich Martinez & G. Venturi - 2021 - Studia Logica 109 (3):509-537.

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Citations of this work BETA

Ideal Objects for Set Theory.Santiago Jockwich, Sourav Tarafder & Giorgio Venturi - 2022 - Journal of Philosophical Logic 51 (3):583-602.

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