Vopenka's Principle and Compact Logics
Makowsky, J. A.
J. Symbolic Logic, Tome 50 (1985) no. 1, p. 42-48 / Harvested from Project Euclid
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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.
Publié le : 1985-03-14
Classification:  Large Cardinals,  abstract model theory 
@article{1183741773,
     author = {Makowsky, J. A.},
     title = {Vopenka's Principle and Compact Logics},
     journal = {J. Symbolic Logic},
     volume = {50},
     number = {1},
     year = {1985},
     pages = { 42-48},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183741773}
}

Makowsky, J. A. Vopenka's Principle and Compact Logics. J. Symbolic Logic, Tome 50 (1985) no. 1, pp.  42-48. http://gdmltest.u-ga.fr/item/1183741773/