January 24, 2001
Eric Rasmusen notes, erasmuse@indiana.edu
Http://Php.Indiana.edu/~erasmuse
44. Philip Davis, Reuben Hersh & Elena Marchisotto,"The Creation
of New Mathematics: An Application of the
Lakatos Heuristic," pp. 291-298 of The Mathematical Experience, Boston:
Houghton-Mifflin (1981).
p. 224. In the proof of the theorem at the top of the page, remember
that Q=0 is allowed.
The conjecture that p=q is the condition for magic numbers is
indeed a sufficient condition. It is not both necessary *and*
sufficient, though, which is what we're looking for here.
p. 225. 1,2,5,25 and 125 are 1, 2^1, 5^1, 5^2, and 5^3, using the h-
values just found to be valid.