Re: Epistemology 201: The Science of Science

From: aeo6 (aeo6_at_cornell.edu)
Date: 03/17/05 

Date: Thu, 17 Mar 2005 14:38:49 -0500

Daryl McCullough said:
> Tony says...
> >
> >Daryl McCullough said:
>
> >> Are you saying that if I write down
> >>
> >> 3 1 4
> >>
> >> that suddenly 3 has lost its meaning? *I* still remember what it
> >> means, even if you don't. With a little practice, you can learn
> >> to recite your telephone number, or the digits of pi, even when
> >> the digits are out of order. The digits don't lose their meaning.
> >
> >If you are saying 3 comes before 1, which immediately precedes 4 in a number
> >system, then you are changing the meaning of the numerals.
>
> Who said anything about a number system? I am talking about orderings
> of the natural number system. Sometimes, we write 3 before 1; for example,
> when we are writing out the decimal expansion of pi. That doesn't mean
> that 3 has lost its meaning.
>
> --
> Daryl McCullough
> Ithaca, NY
>
>
That is entirely unrelated to the reordering of the number system that I was
cautioning against. The use of digits to form numbers is a matter of a digital
system for expressing numbers as numerals. If you write 3.1415, that's a number
between 3.1 and 3.2. Do you think I am saying that all 1's should come before
all 2's? I have never made any such stupid assertion. My statement was
specifically in the context of cardinality and concerning arbitrary reorderings
of the number system in general to achieve a mapping function. And people
accuse me of being confused....... 

-- 
Smiles,
Tony

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