Generalized algebra-valued models of set theory

Open Access
Authors
Publication date 2015
Journal Review of Symbolic Logic
Volume | Issue number 8 | 1
Pages (from-to) 192-205
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract We generalize the construction of lattice-valued models of set theory due to Takeuti, Titani, Kozawa and Ozawa to a wider class of algebras and show that this yields a model of a paraconsistent logic that validates all axioms of the negation-free fragment of Zermelo-Fraenkel set theory.
Document type Article
Note © Association for Symbolic Logic 2014
Language English
Published at https://doi.org/10.1017/S175502031400046X
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