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An Aleph Hypothesis, and its Consequences for Beths, Sums of Beths, and Infinite Products of Alephs

✍ Scribed by Frederick Bagemihl


Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
230 KB
Volume
34
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis


Throughout this paper we shall assume that the following proposition is true:

(P) There exists a constant ordinal number Q such that, for every ordinal number a,

We shall obtain consequences of (P) for beths [I, p. 1291 and sums of beths [l, p. 1601 that are remarkably similar to those that follow [l, pp. 173, 1751 from the apparently much stronger hypothesis that = N a+1 for every a ; we shall show also that for