Re: Infinity,Intelligent Life, New Worlds

Ross A. Finlayson wrote:
> Hey stooopid,
>
> Infinite sets are equivalent [meaning that all infinite sets have a one-to-one correspondence].

No they're not.
There exists no one-to-one correspondence between the real numbers and
the integers. The infinity comprising the real numbers (Aleph_one) is
much larger than that comprising the integers (Aleph_null). That's a
standard textbook result taught in college mathematics. There are, in
fact, more distinct sizes of infinite sets than can be enumerated by
any of the infinities, themselves ... which is not only the exact
opposite of what you said, but *WAY THE FRIGGIN HELL* the exact
opposite of it!

http://en.wikipedia.org/wiki/Transfinite_cardinal_numbers
http://en.wikipedia.org/wiki/Infinite_set
http://en.wikipedia.org/wiki/Aleph_null
http://en.wikipedia.org/wiki/Aleph_one

> Idiot.

Let's see. He's the stupid one and idiot and you're the one (by your
own admission in as many words above with your incredible gaffe above)
who hasn't even a grasp of college-level math.

.

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