Abstract Logic and Set Theory. II. Large Cardinals

Väänänen, Jouko

J. Symbolic Logic, Tome 47 (1982) no. 1, p. 335-346 / Harvested from Project Euclid

Résumé

The following problem is studied: How large and how small can the Lowenheim and Hanf numbers of unbounded logics be in relation to the most common large cardinals? The main result is that the Lowenheim number of the logic with the Hartig-quantifier can be consistently put in between any two of the first weakly inaccessible, the first weakly Mahlo, the first weakly compact, the first Ramsey, the first measurable and the first supercompact cardinals.

Publié le : 1982-06-14
Classification:

@article{1183741001,
     author = {V\"a\"an\"anen, Jouko},
     title = {Abstract Logic and Set Theory. II. Large Cardinals},
     journal = {J. Symbolic Logic},
     volume = {47},
     number = {1},
     year = {1982},
     pages = { 335-346},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183741001}
}

Väänänen, Jouko. Abstract Logic and Set Theory. II. Large Cardinals. J. Symbolic Logic, Tome 47 (1982) no. 1, pp.  335-346. http://gdmltest.u-ga.fr/item/1183741001/