From: Philippe Verdy (email@example.com)
Date: Fri Jul 04 2008 - 05:46:51 CDT
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
> ... 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;
So the aleph there is not the Hebrew letter but a symbol... just like the
other maths letters that are encoded. Now there's a good question: are the
maths formulas directionaly oriented and do they follow the BiDi algorthm ?
I hope they don't because it would become severely ambiguous (but they may
contain pseudo-variables deonted as embedded substrings of text written in
natural language; your "aleph" notation here does not qualify as it is used
just as a symbol).
Note that maths letters would also be good candidates as well for variants
as superscripts/subscripts. This is endless!
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