From: Mark E. Shoulson (mark@kli.org)
Date: Fri Jul 04 2008 - 11:22:40 CDT
Philippe Verdy wrote:
> philip chastney wrote:
>
>> if the set S has cardinality n, then its powerset has cardinality 2©ú
>> if the cardinality of the set of natural numbers is denoted by
>> aleph-null, then the cardinality of the powerset is
>> 2-to-the-power-of-aleph-null
>> ... which requires a subscripted superscript Hebrew exponent
>>
>
> How do you note "aleph-null" ? Do you mean "aleph<sub>0</sub>" i.e.
> followed by a subscript zero? Where do you note the subscript (to the left
> or to the right?) I think it would go to the left per the linguistic aspect
> of hebrew letter aleph, but its use in mathematical notation may ignore the
> directionality and also note the indice as a subscript on the right;
>
In mathematical usage, the subscript goes on the right. There is no
disagreement on this. Properly speaking, this isn't even a U+05D0 HEBREW
LETTER ALEF, it's really a U+2135 ALEF SYMBOL (even annotated as "first
transfinite cardinal", which is what we're dealing with here).
~mark
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