[FOM] "Mathematician in the street" on AC
Thomas Forster
T.Forster at dpmms.cam.ac.uk
Sun Aug 16 19:45:56 EDT 2009
Vaughan,
Thank you for this nice exposition. The notion you are using is
the one that Conway coined the phrase *counted set* for. However, i
think you are being far too charitable in your description of normal
mathematical practice. I think you are crediting these good people
with using the notion of counted set *consistently* (in which case,
as you observe, no AC is needed). Sadly what i think is going on is
that the mathematician-in-the-trailer-park is engaged in a fallacy of
equivocation between the two notions. Worse, they do not take kindly
to having this equivocation pointed out to them.
--
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