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On the set of finite subsets of a set
Published online by Cambridge University Press: 09 April 2009
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We sometimes think of medial (that is, infinite Dedekind-finite) sets as being “small” infinite sets. Medial cardinals can be defined as those cardinals that are incomparable to ℵℴ; hence we tend to think of them as being spread out on a plane “just above” the natural numbers, which seems to lend support to the view expressed above that medial sets are “small”.
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- Copyright © Australian Mathematical Society 1975
References
Monro, G. P. (1973), ‘Small sets with large powersets’, Bull. Austral. Math. Soc. 8, 413–422.CrossRefGoogle Scholar
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Truss, J. K. (to appear), ‘The well-ordered and well-orderable subsets of a set’, Zeit. f. math. Logik.Google Scholar
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