INTERNAL CATEGORICITY AND THE GENERIC MULTIVERSE

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.

Authors

Publication Details

Journal
The Review of Symbolic Logic
Published
2026-11-06
DOI
https://doi.org/10.1017/s1755020326101440
Citations
1
Primary Topic
Advanced Topology and Set Theory
Type
article
Field-Weighted Citation Impact
2.04
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article

INTERNAL CATEGORICITY AND THE GENERIC MULTIVERSE

Toby Meadows
1 citations
The Review of Symbolic Logic
Advanced Topology and Set Theory
2.04
article

INTERNAL CATEGORICITY AND THE GENERIC MULTIVERSE

Toby Meadows
article en
1 citations

Abstract

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.

The Review of Symbolic Logic
Openalex Percentile: Top 19%
Advanced Topology and Set Theory
2.04
DOIOpen Access PDFOpenAlex
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INTERNAL CATEGORICITY AND THE GENERIC MULTIVERSE — Toby Meadows · The Review of Symbolic Logic (2026) | TGRS Research Map | TGRS