Abstract. In previous papers by the author, schemes were used to specify some new axioms for set theory, to give a lower bound on the Mahlo rank of a weakly compact cardinal, and to give a chain in the Galvin-Hajnal order with properties of interest. Here, various improvements are made.

Received: August 10, 2011

AMS Subject Classification: 03E55

Key Words and Phrases: scheme, axioms for set theory, weakly compact cardinal, Mahlo rank, Galvin-Hajnal order, Mitchell order

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 76
Issue: 2

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