A fascinating issue from the AMS http://www.ams.org/notices/200811/
The preview:
"Using computers in proofs both extends mathematics with new
results and creates new mathematical questions about the nature and
technique of such proofs. This special issue features a collection of
articles by practitioners and theorists of such formal proofs which
explore both aspects."
A problem a few of us have been discussing at The Complex is the
division between computing and mathematics, between algorithms and
equations.
For example: Is current mathematical notation today's roman numerals,
a syntax we have to leave behind or enhance to integrate with
algorithms or "scripts".
Fascinating folks in the past like Ken Iverson have made serious
inroads with APL, a formalized mathematical computing language.
(currently advanced by his son Ralph in a new, more modern form as J: http://www.jsoftware.com/)
-- Owen
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