
Re: What is infinity minus one?
Posted:
Oct 11, 2004 3:50 PM


g_vagor@hotmail.com (Beston Kader) wrote in news://vdfob6vb0f6a@legacy:
> answer to your question: > > infinity = 1/0 > 1=0*infinity
A slight wave of the hand here, no? For surely you are not saying 0*infinity is 1, I could understand saying it is zero, I could understand saying it is infinity. But surely not one.
How about this then:
infinity = 2/0 > 2 = 0*infinity = 1 > 2 = 1 > 0 = 1
Uh oh.
> infinity  1 = infinity0*infinity = infinity(10) = infinity > > > > > > infinity  1 = infinity > >
Perhaps this will work better...
1 + 2 + 3 + 4 + 5 + 6 +.... tends towards infinity
Subtracting 1 gives
1  1 + 2 + 3 + 4 + 5 + 6 + .... = 2 + 3 + 4 + 5 + 6 + ...
which also tends towards infinity. By this logic, infinity less any finite number is still infinite. And infinity  infinity is not defined. (You know why?)
 Tim
 Timothy M. Brauch NSF Fellow Department of Mathematics University of Louisville
email is: news (dot) post (at) tbrauch (dot) com

