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On the consistency of the generalized continuum hypothesis

✍ Scribed by Abian, Alexander ;Bainbridge, James


Book ID
105437948
Publisher
Springer-Verlag
Year
1972
Weight
215 KB
Volume
15
Category
Article
ISSN
0003-9268

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πŸ“œ SIMILAR VOLUMES


Weak Forms of the Axiom of Choice and th
✍ Arthur L. Rubin; Jean E. Rubin πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 789 KB

## Abstract In this paper we study some statements similar to the Partition Principle and the Trichotomy. We prove some relationships between these statements, the Axiom of Choice, and the Generalized Continuum Hypothesis. We also prove some independence results. MSC: 03E25, 03E50, 04A25, 04A50.

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Distributing the elements of ~1 within a unit interval, intuitive arguments are given to justify the Continuum Hypothesis, suggesting that it should be accepted.