[FOM] Use of AC
a_mani_sc_gs at yahoo.co.in
Wed Aug 12 12:29:56 EDT 2009
On Tuesday 11 August 2009 03:19:41 Thomas Forster wrote:
> This is spiralling out of control, so this will be my last post. Implicit
> use of AC is everywhere, of course. What is not everywhere is the kind of
> understanding of AC that FOM listmembers have. Arnon's illustration is a
> good one. I ask: how many of the people who learn this fact as u/gs can
> identify and explain the use of DC in its proof? Precious few, i bet.
> Our preoccupations and concerns (as instance Freiling's argument) are
> not shared by most people who are considered mathematicians.
I think most books in applied mathematics and some in pure mathematics do not
lay much or any emphasis on the issue. We should put up a wiki somewhere for
building up a detailed classification.
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