Permutation Models of Second Order

Fuente: arXiv
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Autor principal: Gaßner, Christine
Formato: Preprint
Publicado: 2024
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author Gaßner, Christine
author_facet Gaßner, Christine
contents Günter Asser (1981) introduced second-order permutation models. In this way, the Fraenkel-Mostowski-Specker method for defining models of ZFA was transferred to a new application area. To investigate the strength of second-order principles of choice in second-order predicate logic (PLII) with Henkin interpretation (HPL), we have extended the Fraenkel-Mostowski-Specker-Asser method. Here we discuss many details, including some useful references. Finally, we address a question raised by Stephen Mackereth.
format Preprint
id arxiv_https___arxiv_org_abs_2409_14211
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Permutation Models of Second Order
Gaßner, Christine
Logic
Günter Asser (1981) introduced second-order permutation models. In this way, the Fraenkel-Mostowski-Specker method for defining models of ZFA was transferred to a new application area. To investigate the strength of second-order principles of choice in second-order predicate logic (PLII) with Henkin interpretation (HPL), we have extended the Fraenkel-Mostowski-Specker-Asser method. Here we discuss many details, including some useful references. Finally, we address a question raised by Stephen Mackereth.
title Permutation Models of Second Order
topic Logic
url https://arxiv.org/abs/2409.14211