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Von Rimscha's Transitivity Conditions

✍ Scribed by Paul Howard; Jean E. Rubin; Adrienne Stanley

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
129 KB
Volume
46
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis

In Zermelo-Fraenkel set theory with the axiom of choice every set has the same cardinal number as some ordinal. Von Rimscha has weakened this condition to "Every set has the same cardinal number as some transitive set". In set theory without the axiom of choice, we study the deductive strength of this and similar statements introduced by von Rimscha.

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