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THE COMPACTNESS OF GÖDEL LOGIC

Part of: General logic Model theory

Published online by Cambridge University Press:  20 December 2024

J. P. AGUILERA
J. P. AGUILERA*
Affiliation:
KURT GÖDEL RESEARCH CENTER FOR MATHEMATICAL LOGIC INSTITUTE OF MATHEMATICS, UNIVERSITY OF VIENNA KOLINGASSE 14-16, 1090 VIENNA AUSTRIA INSTITUTE OF DISCRETE MATHEMATICS AND GEOMETRY VIENNA UNIVERSITY OF TECHNOLOGY WIEDNER HAUPTSTRASSE 8–10, 1040 VIENNA AUSTRIA DEPARTMENT OF MATHEMATICS WE16 GHENT UNIVERSITY KRIJGSLAAN 281-S8, B9000 GHENT BELGIUM
*
E-mail: aguilera@logic.at
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Abstract

If G is any infinite-valued Gödel logic with identity, then the compactness cardinal of G is the least $\omega _1$-strongly compact cardinal.

Keywords

Gödel logicfuzzy logiccompactness numberstrongly compact cardinal

MSC classification

Primary: 03B52: Fuzzy logic; logic of vagueness
Secondary: 03C07: Basic properties of first-order languages and structures 03C90: Nonclassical models (Boolean-valued, sheaf, etc.)

Information

Type
Article
Information
The Journal of Symbolic Logic , First View , pp. 1 - 10
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of The Association for Symbolic Logic

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References

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