We present a generalization of the algebra-valued models of ZF 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 ZF.
ZF between classicality and non-classicality
Venturi G
2022-01-01
Abstract
We present a generalization of the algebra-valued models of ZF 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 ZF.File in questo prodotto:
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ZF Between Classicality and non-classicality.pdf
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