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Book Review: Cardinal and ordinal numbers

โœ Scribed by Oxtoby, J. C.

Book ID
118144838
Publisher
American Mathematical Society
Year
1959
Tongue
English
Weight
337 KB
Volume
65
Category
Article
ISSN
0273-0979

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The theorem of the means for cardinal an
The theorem of the means for cardinal and ordinal numbers
โœ George Rousseau ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 382 KB

## Abstract The theorem that the arithmetic mean is greater than or equal to the geometric mean is investigated for cardinal and ordinal numbers. It is shown that whereas the theorem of the means can be proved for __n__ pairwise comparable cardinal numbers without the axiom of choice, the inequalit