Re: Zenkin's paper on Cantor (reply of Dr. Zenkin)

From: Shmuel (Seymour J.) Metz (spamtrap_at_library.lspace.org.invalid)
Date: 11/23/04 

Date: Mon, 22 Nov 2004 20:15:34 -0500

In <320e992a.0411201803.345d1645@posting.google.com>, on 11/20/2004
   at 06:03 PM, examachine@gmail.com (Eray Ozkural exa) said:

>It is obvious what cardinality means,

Despite which you fail to understand.

>and it is not a definite thing,

See. I told you so.

>because THIS PARADOX EXISTS.

More handwaving.

>If you do not understand WHY this is a paradox this is your problem.

In other words, you know that there is no paradox but refuse to admit
it.

>Do you accept that there is a paradox or not?

I certainly don't. If you want o convince anyone that there is a
paradox, you will have to do so with rational arguments, not mere
assertions nostandard definitions and hand waving.

>Definitions are exactly that which are contested.

Prejudice against existing definitions is not evidence of a paradox.
An honest comment would have distinguish between dislike of a
definition and flaws in the arguments using that definition. In
Mathematics, all that is required of a definition is that the
arguments using it consistently are valid, although there are elements
of esthetics that come into play when evaluating a proposed new term. 

-- 
Shmuel (Seymour J.) Metz, SysProg and JOAT  <http://patriot.net/~shmuel>
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