FOM: Re: Arbitrary Objects

[Gordon Fisher]

Kanovei wrote:

> >Date: Thu, 07 Feb 2002 14:00:40 -0500
> From: Gordon Fisher <gfisher at shentel.net>
>
> >What about "let x and y be any two real numbers"?
>
> No the problem has no relation to the number of
> arbitrary objects, be it 1, 2, 10^6, etc., the question
> is what is "arbitrary x in (some given) X", actually,
> you have difficulties in understanding what is an
> arbitrary member of the 2-element set {0,1}.
> What is it?
>
> V.Kanovei

Well, then, how about:  an arbitrary member of {0.1}
is 0 or it is 1.  An arbitary member of Z+ (the positive
integers) is 1 or it is -1 or it is 2 or it is -2 or .....
Is the problem now with the 5 dots?  If so, how about:
1 is an arbitrary member of Z, and if n is an arbitary member
of Z, then n+1 is an arbitrary member of Z.

Gordon Fisher     gfisher at shentel.net