FOM: feasibility discussion
kanovei at wminf2.math.uni-wuppertal.de
Sat Oct 17 04:21:50 EDT 1998
mellon at pobox.com writes:
<but you did
<prove that n(3)>A7(184). What does *that* mean?
Most likely 9^9^9... (8 times) < 8^8^8...(9 times).
If so what does it mean ? And is it less meaningful
than n(3)>A7(184), mathematically ? The only clear
differences I see are
1) everybody knows what is 8^8^... but much less people
know what is, say, n(3), so n(3)>A7(184) has some fresh
attraction and the constructions involved seem to
reflect some nontrivial combinatorics
2) perhaps, the proof of n(3)>A7(184) is much more complicated
If, in some future, a thousand of meaningful mathematical
facts will be proved, in matters of the notions involved
in n(3)>A7(184), then everobody agrees that this has given
new insights in the nature of numbers.
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