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A theorem on cardinal numbers

Published online by Cambridge University Press:  31 October 2008

W. F. Newns
W. F. Newns
Affiliation:
The Department of Pure Mathematics, the University, Liverpool.
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Extract

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A classical theorem of Cantor states that the class of all sub-classes of a given class has a cardinal greater than that of the given class. This theorem is here established in a sharpened form, which was suggested to me by a question set by Professor J. M. Whittaker, F.R.S, in the 1950 examination for the Honours B.Sc. Degree at Liverpool.

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 39 , January 1954 , pp. 4 - 5
Copyright
Copyright © Edinburgh Mathematical Society 1954

References

1 The question was as follows:— “Let A be any class and let T be the class of all subclasses of A which contain more than one member. If A has more than two-members, prove that T has a greater cardinal than A.”