Abstract
When for a given axiom (∀α)A(α), one wishes to build a model of ZF + (∀α)A(α), he is often lead to the existence of complete Boolean algebras B β , for which
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1.
VBβ satisfies ZF + (∀α < β)A(α), and
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2.
The cardinality of |Bβ| increases as β increases.
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© 1973 Springer-Verlag New York Inc.
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Takeuti, G., Zaring, W.M. (1973). Boolean Algebras That Are Not Sets. In: Axiomatic Set Theory. Graduate Texts in Mathematics, vol 8. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-8751-0_24
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DOI: https://doi.org/10.1007/978-1-4684-8751-0_24
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90050-6
Online ISBN: 978-1-4684-8751-0
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