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Proper classes as members of extended sets

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Conclusion

It might be argued that STC is superfluous. In defense we reply that STC seems the most natural theory for handling theM β andK β. In NBGAI the development is quite artificial. An even more fundamental reply is that those who wish to make puritannical restrictions on set theory forbidding inaccessible sets may have their holiday with inaccessible extended sets.

Inconsistent multiplicities (which Cantor called absolutely infinites) are themselves relative to a system, or briefly, the absolute is relative.

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Authors and Affiliations

  1. Philosophy Department, University of California, 95616, Davis, California

    Joel I. Friedman

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  1. Joel I. Friedman
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The author is deeply indebted to Professor A. Robinson for fruitful suggestions, general insights, and biting criticism.

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Friedman, J.I. Proper classes as members of extended sets. Math. Ann. 183, 232–240 (1969). https://doi.org/10.1007/BF01351382

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