Re: Epistemology 201: The Science of Science

From: aeo6 (aeo6_at_cornell.edu)
Date: 02/11/05 

Date: Fri, 11 Feb 2005 10:17:12 -0500

stephen@nomail.com said:
> In sci.math Tony Orlow (aeo6) <aeo6@cornell.edu> wrote:
> : Or, you can simply admit that there are more real numbers between 0 and
> : 2 than there are between 0 and 1, even if the "cardinality" is the same,
> : for instance, 1.5.
> : --
> : Smiles,
>
> : Tony
>
> Whoever said that there were not numbers in [0,2] that were not in [0,1]?
> What is true is that every element in [0,1] can be uniquely mapped to
> an element in [0,2]. Why won't you simply admit that? :)
>
> Stephen
>
I never denied that. Cantor's cardinality is significant, and
distinguishes between classes of infinity. I am making a valid point
that there are details of infinity that it does not capture. There is a
problem when idiots say there are the same number of reals between 0 and
1 as between 0 and 2, when one obvious has more reals than the other as
a proper superset, just because there is the same Cantorian cardinality.
Why can't you simply admit that?

This is why Lester calls you people mathematikers. All you can do is
spew what your professor spewed, because you know it got a good mark on
the exam. If you ever want to create anything original, you need to be
able to question what you've been taught, when you see a discrepancy.
You need to learn about truth outside your particular field. You need to
try to represent things in more than one way, and make sure the
representations are consistent with each other. Not just reject anything
you haven't heard just because you're an expert in your field.

Mathematikers ARE dense. Thank god i went into computer science where
numbers are at least electronically real and ideas testable. 

-- 
Smiles,
Tony

Relevant Pages

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  • Re: Epistemology 201: The Science of Science
    ... that there are details of infinity that it does not capture. ... as between 0 and 2, when one obvious has more reals than the other as ... just because there is the same Cantorian cardinality. ... This is why Lester calls you people mathematikers. ...
    (sci.math)
  • Re: Epistemology 201: The Science of Science
    ... that there are details of infinity that it does not capture. ... as between 0 and 2, when one obvious has more reals than the other as ... just because there is the same Cantorian cardinality. ... This is why Lester calls you people mathematikers. ...
    (sci.physics)
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  • Re: Epistemology 201: The Science of Science
    ... > that there are details of infinity that it does not capture. ... just because there is the same Cantorian cardinality. ... Can a valid bijection be invented between the set of reals ...
    (sci.physics)
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