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Finite sequences of classes

Published online by Cambridge University Press:  12 March 2014

Raphael M. Robinson
Raphael M. Robinson*
Affiliation:
University of California
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Extract

Consider an axiomatic set theory in which there is a distinction between “sets” and “classes,” only sets being allowable as elements. How can one define a finite sequence of classes? This problem was proposed to me by A. Tarski, and a solution is given in this note. We shall assume the axiom system Σ used by Godei in his study of the continuum hypothesis, and shall use the same notation.1

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 10 , Issue 4 , December 1945 , pp. 125 - 126
Copyright
Copyright © Association for Symbolic Logic 1946

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References

1 Gödel, K., The consistency of the continuum hypothesis, Princeton University Press, Princeton 1940. The axioms appear in Chapter I; an index of notation is given on pp. 63–64.Google Scholar