Re: Well Ordering the Reals

Tony Orlow wrote:
> You see, as far as I am concerned, there is no smallest infinite,
> as one can subtract a finite, or divide by a finite, and get a smaller infinite
> number, just like you say there is no largest finite. So, omega means nothing
> to me. I deal with a unit infinity which I generally call N, which represents,
> not some definite number, but the 1-1 correspondence between element count and
> element value, 1 element per unit of value, across the infinite real line. It
> can be thought of as the length of the infinite line, and the number of unit
> segments and natural numbers in the line, but isn't really a particular number.
> It's more of a variable which can take on infinite values.

Now you are contradicting yourself. You have stated that 'N' is your
"standard unit infinity", and that it is:
N = 1 + 1 + 1 + 1 + ...

This makes your 'N' a distinct NON-variable value.
Or have you changed your mind about it?

.

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