PP-2018-15: Constructing illoyal algebra-valued models of set theory

PP-2018-15: Löwe, Benedikt and Passmann, Robert and Tarafder, Sourav (2018) Constructing illoyal algebra-valued models of set theory. [Pre-print] (Submitted)

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An algebra-valued model of set theory is called loyal to its algebra if the model and its algebra have the same propositional logic; it is called faithful if all elements of the algebra are truth values of a sentence of the language of set theory in the model. We observe that non-trivial automorphisms of the algebra result in models that are not faithful and apply this to construct three classes of illoyal models: the tail stretches, the transposition twists, and the maximal twists.

Item Type: Pre-print
Report Nr: PP-2018-15
Series Name: Prepublication (PP) Series
Year: 2018
Subjects: Logic
Depositing User: Robert Passmann
Date Deposited: 02 Dec 2018 11:19
Last Modified: 02 Dec 2018 11:19
URI: https://eprints.illc.uva.nl/id/eprint/1647

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