Re: How to do magic with infinity
From: Leonard Blackburn (blackbur_at_math.umn.edu)
Date: 10/06/04
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Date: 6 Oct 2004 09:59:09 -0700
mtx014@linux.services.coventry.ac.uk (Robert Low) wrote in message news:<cjuj4o$f7b$1@sunbeam.coventry.ac.uk>...
> Craig Feinstein <cafeinst@msn.com> wrote:
> >Here's an interesting paradox in geometry, if one believes that
> >infinity exists.
>
> Where's the paradox? I usually think of some kind of
> self-contradiction when I hear that word. Or did
> you mean paradoxical in the sense of counter-intuitive?
As you, I don't see a contradiction. But I also don't find the result
counter-intuitive. I wonder why so many people (not you) say that
dealing with infinity in mathematics is counterintuitive. I find it
all quite intuitive. This geometric example agrees with my intuition.
Also, facts like that the set of even naturals has the same
cardinality as the set of naturals are all quite intuitive.
-Leonard
P.S. With regards to another post, I think Stephen Hawking says that
there was no beginning to time, and at the same time he agrees with
the big bang theory.
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