Re: Epistemology 201: The Science of Science

From: Albert Wagner (albertwagner_at_cox.net)
Date: 03/15/05 

Date: Tue, 15 Mar 2005 16:12:35 -0600

robert j. kolker wrote:
>
>
> Lester Zick wrote:
>
>>
>> Which is undefined.
>
>
> Aleph-0 is the class of all sets that can be mapped one to one onto the
> set of integers. It is quite well defined.

So that's how it works. Simply avoid the word 'infinity' in the
definition and the problem is solved. LOL. "Pay no attention to
that undefined man behind the curtain." Sorry, Bob. The emperor
has no clothes. Infinity remains undefined as does anything
defined in terms of it. 

-- 
"I consider it quite possible that physics cannot be based
on the field concept, i. e., on continuous structures. In that
case nothing remains of my entire castle in the air,
gravitation theory included, [and of] the rest of modern physics."
	-- Albert Einstein in a 1954 letter to Michele Besso.

Relevant Pages

  • Re: Epistemology 201: The Science of Science
    ... > Lester Zick wrote: ... > Aleph-0 is the class of all sets that can be mapped one to one onto the ... Infinity remains undefined as does anything ... In that case nothing remains of my entire castle in the air, gravitation theory included, the rest of modern physics." ...
    (sci.physics)
  • Re: Epistemology 201: The Science of Science
    ... > Lester Zick wrote: ... > Aleph-0 is the class of all sets that can be mapped one to one onto the ... Infinity remains undefined as does anything ... In that case nothing remains of my entire castle in the air, gravitation theory included, the rest of modern physics." ...
    (sci.math)
  • Re: Photographers-Do you think outside the box?
    ... artistic imagination is an infinity of greater power. ... I have to admit) aleph-0 times aleph-0 is still aleph-0. ...
    (rec.photo.digital.slr-systems)
  • Re: Photographers-Do you think outside the box?
    ... photographic images. ... artistic imagination is an infinity of greater power. ... I have to admit) aleph-0 times aleph-0 is still aleph-0. ...
    (rec.photo.digital.slr-systems)
  • Re: Epistemology 201: The Science of Science
    ... kolker wrote: ... > Daryl McCullough wrote: ... Infinity is not a fact in this universe. ... In that case nothing remains of my entire castle in the air, gravitation theory included, the rest of modern physics." ...
    (sci.math)
Loading