Re: Galileo's Paradox


Tony Orlow ha escrito:

Eckard Blumschein wrote:
On 12/4/2006 9:56 PM, Bob Kolker wrote:
Eckard Blumschein wrote:


2*oo is not larger than oo. Infinity is not a quantum but a quality.
But aleph-0 is a quantity.

Bob Kolker


To those who belive in the usefulness of that illusion.



Aleph_0 is a phantom. The aleph_0th natural starting from 1 would be
aleph_0. It's not a count of the naturals. There is no smallest infinity
but, sorry to have to tell you, Eckard, a whole spectrum of infinities
that extend above and below any given infinite expression. Sure,
transfinitology is quasi-religious. Actual infinity can be quite
sensible, though. :)

Tony
***********************************************************
Just like good'ol Mad Journal with Spy vs Spy, but here it is "Troll vs
Troll"...fascinating.
Tonio

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