Re: small but infinite sets
- From: mjtg@xxxxxxxxxxxxx (M.J.T. Guy)
- Date: 22 Sep 2005 17:28:10 GMT
David R Tribble <david@xxxxxxxxxxx> wrote:
>
>But how can this be done using sets of the natural numbers (instead
>of subsets of real points)? I.e., what is an easy example of
>removing aleph_0 elements from set N, resulting in a subset that
>still has aleph_0 elements?
The classic example is
a) remove 1
b) remove all multiples ( > 1 ) of the smallest number left
c) repeat (b)
You may recognise this example.
Mike Guy
.
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