| M. Magidor, On the role of supercompact and extendible cardinals in logic, Israel J. Math. 10 (1971) 147-157. |
....L [a] It follows that a # exists. Thus the existence of a with LST ( for L(I) is proof theoretically a strong assumption. Exactly how strong, remains open. If one goes all the way up to a supercompact cardinal, one can get LST ( for L(I) and much more: 28 Theorem 59 (M. Magidor [7]) If is a supercompact cardinal, then the in nitary second order logic L 2 satis es LST ( Conversely, if L 2 satis es LST ( there is a supercompact cardinal . Returning to the topic of this paper, we shall elaborate Magidor s proof of Theorem 59 to get a model of set theory ....
M. Magidor, On the role of supercompact and extendible cardinals in logic, Israel J. Math. 10(1971) 147-157.
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M. Magidor, On the role of supercompact and extendible cardinals in logic, Israel J. Math. 10 (1971) 147-157.
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