FOM: non-standard analysis
P.Percival at philosophy.arts.gla.ac.uk
Mon Jun 12 04:44:01 EDT 2000
Could someone help me with some basis questions? I need to
know whether non-standard analysis affords a way of dealing with
infinite products of reals (in the unit interval).
In general, are infinite products of such reals infinitesimals, and do
different infinite products of reals yield different infinitesimals? In
(1) is, say, .5 to the power omega an infinitesimal?
(2) if so, is .6 to the power omega a larger infinitesimal?
(3) if so, does every infinite product of reals (so to speak, no matter
how diverse) yield an infinitesimal?
I really need to know this quickly! Please reply off list and many
thanks in advance.
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