>I had a similar problem with accepting that 1/inf = 0; to me, there could always be a smaller number The issue here (the same issue as the .9999=1 debate) is

>I had a similar problem with accepting that 1/inf = 0; to me, there could always be a smaller number The issue here (the same issue as the .9999=1 debate) is that people intuitively perceive the hyperreal numbers. It is absolutely not wrong to intuitively perceive the hyperreal numbers; it's not like one number system is more correct than others. http://en.wikipedia.org/wiki/Hyperreal_number http://en.wikipedia.org/wiki/Hyperreal_number http://theassayer.org/cgi-bin/asbook.cgi?book=770 http://theassayer.org/cgi-bin/asbook.cgi?book=770 is a textbook of the calculus constructed rigorously using infinitesimals.