*Contributed by
Arturo Magidin, UNAM, Mexico*
"A computer makes a deal with the devil, with the
usual escape clause: if it can ask a question the devil cannot answer, the
computer gets the information for free. As the devil puts it, no logical
paradoxes, no infinite tasks, no undecidable propositions, no solutions of
unsolved problems are allowed. So the computer in the end asks for a
display of the exact number of terms required to compute the sum of a
particular infinite series to two decimal places. The series was
sum_{n=2}^{infty} (1/(n log(n(log log(n))^2))
The number needed is 10^{87}." |