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Beth number
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{{short description|Infinite Cardinal number}} In [[mathematics]], particularly in [[set theory]], the '''beth numbers''' are a certain sequence of [[infinite set|infinite]] [[cardinal number]]s (also known as [[transfinite number]]s), conventionally written <math>\beth_0, \beth_1, \beth_2, \beth_3, \dots</math>, where <math>\beth</math> is the [[Hebrew alphabet|Hebrew letter]] [[bet (letter)|beth]]. The beth numbers are related to the [[aleph number]]s (<math>\aleph_0, \aleph_1, \dots</math>), but unless the [[generalized continuum hypothesis]] is true, there are numbers indexed by <math>\aleph</math> that are not indexed by <math>\beth</math> or <math>\gimel</math>. See: [[Gimel function]]
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