Re: infinity
- From: "Jonathan Hoyle" <jonhoyle@xxxxxxx>
- Date: 17 Oct 2005 11:55:46 -0700
>> There are obviously two types of infinities, discrete and
>> continuous, or counting and measure related, so the use
>> of N and R is not unlike the use of aleph_0 and c.
It is certainly understandable to think that the differences between
aleph_0 (naturals) and c (reals) is related to the differences between
the discrete and continuous. Surprisingly though, they are unrelated.
For example, the rationals are continuous, but are only of size
aleph_0.
Hope that helps,
Jonathan Hoyle
.
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