> -----Original Message----- > From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] On > Behalf Of Alberto Vieira Ferreira Monteiro > Sent: Thursday, September 28, 2006 9:00 PM > To: Killer Bs Discussion > Subject: Re: Infinities large and small > > Nick Arnett wrote: > > > > No... some infinities are smaller than others, as is easily > demonstrated. > > > > There are an infinite number of even numbers and an infinite number of > odd > > numbers. Those two infinities are the same size. However, there are an > > infinite number of even AND odd numbers and that infinity is twice as > big > > as the first two. > > > > Makes your head hurt, doesn't it? > > > No, it doesn't, and you didn't quite express the paradox. > > There are infinite even numbers, there are infinite odd numbers, > there are as much even as odd numbers. The paradox is that > there as many integer number as even numbers, even though only > half of the integer numbers are even.
Right, but there are not as many integers as there are real numbers between 0 and 1. :-) Dan M. _______________________________________________ http://www.mccmedia.com/mailman/listinfo/brin-l
