Lebesgue Commandment: Ignore all measure zero sets. Numerical Recipe: Only calculate measure zero sets. In the other thread, we are talking about computational practice, so I'm spinning this response another direction. See also the other thread "Loosing sleep because..." : https://mailman.xmission.com/cgi-bin/mailman/private/math-fun/2019-August/03... Instead of "0*Infinity = 0", perhaps it should be card(Z)*(1/card(R))=0. Then what if the function is allowed to take on a value f(0)=card(R)? Is it still okay to ignore the one-point set at t=0? You're welcome to keep up the antagonism, but please try not to make me look like too much of an idiot. Thanks --Brad On Fri, Aug 9, 2019 at 8:24 PM Andy Latto <andy.latto@pobox.com> wrote:
The definition of Lebesgue integration is a fairly fundamental part of analysis. What about it worries you? Andy