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On the set of finite subsets of a set

Published online by Cambridge University Press:  09 April 2009

J. L Hickman
J. L Hickman
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Australian National University, Canberra.
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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”.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 20 , Issue 1 , August 1975 , pp. 38 - 45
Copyright
Copyright © Australian Mathematical Society 1975

References

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