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L-Mahlo Cardinals

โœ Scribed by Paul E. Cohen


Publisher
John Wiley and Sons
Year
1974
Tongue
English
Weight
169 KB
Volume
20
Category
Article
ISSN
0044-3050

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๐Ÿ“œ SIMILAR VOLUMES


Local sentences and Mahlo cardinals
โœ Olivier Finkel; Stevo Todorcevic ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 107 KB

## Abstract Local sentences were introduced by Ressayre in [6] who proved certain remarkable stretching theorems establishing the equivalence between the existence of finite models for these sentences and the existence of some infinite well ordered models. Two of these stretching theorems were only

cover
โœ Tremble, William ๐Ÿ“‚ Fiction ๐Ÿ“… 2021 ๐ŸŒ English โš– 173 KB ๐Ÿ‘ 1 views
Tall cardinals
โœ Joel D. Hamkins ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 216 KB

## Abstract A cardinal __ฮบ__ is __tall__ if for every ordinal __ฮธ__ there is an embedding __j__: __V__ โ†’ __M__ with critical point __ฮบ__ such that __j__ (__ฮบ__) > __ฮธ__ and __M^ฮบ^__ โІ __M__. Every strong cardinal is tall and every strongly compact cardinal is tall, but measurable cardinals are not

On Compact Cardinals
โœ J. L. Bell ๐Ÿ“‚ Article ๐Ÿ“… 1974 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 332 KB

ON COMPACT CARDINALS by J. L. BELL in London (Great Britain) Let x be a cardinal and L a language. x is said to be L-compact if whenever ,Z is a set of sentences of L such that any subset of L' of power < x has a model, so does Z. If 9 is a class of languages, we say that x is 9-compact if x is L-co

Weakly measurable cardinals
โœ Jason A. Schanker ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 194 KB

In this article, we introduce the notion of weakly measurable cardinal, a new large cardinal concept obtained by weakening the familiar concept of a measurable cardinal. Specifically, a cardinal ฮบ is weakly measurable if for any collection A containing at most ฮบ + many subsets of ฮบ, there exists a n

Boundedness Properties of Cardinals
โœ John L. Hickman ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 153 KB