Re: Epistemology 201: The Science of Science
From: Allan C Cybulskie (allan.c.cybulskie_at_yahoo.ca)
Date: 02/18/05
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Date: Fri, 18 Feb 2005 16:49:56 -0500
"robert j. kolker" <nowhere@nowhere.net> wrote in message
news:37ebq0F5bcpooU1@individual.net...
>
>
> Allan C Cybulskie wrote:
> > I've already dealt clearly with that. It's merely a word game, since
> > infinity is the largest number that we can talk about. But that does
not
> > allow us to go beyond that and draw any inferences beyond "we can't talk
> > about the extra elements because we don't have a terminology for it).
>
> Not a word game. A < B (in the sense of cardinality)
In short, the cardinality is less in this case. What does this have to do
with number of elements, or any of the analysis I provided?
> According to you anything you cannot comprehend is a word game.
Stephen asked me what infinity + infinity was. Since I expect that he would
not have approved of an answer of "2 * infinity", I saw the question as only
possible leading to the answer "infinity", and then to the reply that
therefore the set (0,1) has a number of elements equalling infinity and the
set (0,2) has a number of elements equalling infinity, and so there was no
reason to claim that the set (0,2) had to have more elements. But that's a
word game based on the fact that we won't say "2 * infinity", not an actual
argument.
Surely
> the sign of a less than first rate intellected. I suggest you give up on
> mathematics and take up floor polishing, dish washing or even computer
> programming.
This is probably more ironic than you know.
Besides, who said I was all that interested in mathematics? I merely
exercise my right to not allow people playing word games to pull the wool
over my eyes.
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