Journal of Symbolic Logic
- J. Symbolic Logic
- Volume 50, Issue 1 (1985), 42-48.
Vopenka's Principle and Compact Logics
We study the effects of Vopenka's principle on properties of model theoretic logics. We show that Vopenka's principle is equivalent to the assumption that every finitely generated logic has a compact cardinal. We show also that it is equivalent to the assumption that every such logic has a global Hanf number.
J. Symbolic Logic, Volume 50, Issue 1 (1985), 42-48.
First available in Project Euclid: 6 July 2007
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Makowsky, J. A. Vopenka's Principle and Compact Logics. J. Symbolic Logic 50 (1985), no. 1, 42--48. https://projecteuclid.org/euclid.jsl/1183741773