Ultraproducts of finite sets

1 June 1967

journal article
Published by Cambridge University Press (CUP) in The Journal of Symbolic Logic

Vol. 32 (1) , 47-57
https://doi.org/10.2307/2271241

Abstract

It is shown in [1] that an ultraproduct of finite sets can be of arbitrarily large cardinality, but if it is infinite then it must have at least the power of the continuum. In this paper we shall take a closer look at the cardinality of ultraproducts of finite sets. Our results were announced without proof in [5]. A discussion of the cardinality of ultraproducts of infinite sets, and another theorem about ultraproducts of finite sets, can be found in [3].

Keywords

This publication has 7 references indexed in Scilit:

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