Internal Categoricity and the Generic Multiverse

Fuente: arXiv
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Main Author: Meadows, Toby
Format: Preprint
Published: 2025
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author Meadows, Toby
author_facet Meadows, Toby
contents John Steel's theory, MV, of the generic multiverse provides a foundation for mathematics that aims to neutralize the effects of incompleteness brought on by forcing arguments. Jouko Väänänen's development of internal categoricity arguments provides opportunities to argue that the subject matter of some theory is, in some sense, determined. This paper investigates whether MV is internally categorical.
format Preprint
id arxiv_https___arxiv_org_abs_2508_21202
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Internal Categoricity and the Generic Multiverse
Meadows, Toby
Logic
John Steel's theory, MV, of the generic multiverse provides a foundation for mathematics that aims to neutralize the effects of incompleteness brought on by forcing arguments. Jouko Väänänen's development of internal categoricity arguments provides opportunities to argue that the subject matter of some theory is, in some sense, determined. This paper investigates whether MV is internally categorical.
title Internal Categoricity and the Generic Multiverse
topic Logic
url https://arxiv.org/abs/2508.21202