Re: Mapping Reals to Natural numbers.

On May 8, 3:05 pm, Kyle Milliken <k2i...@xxxxxxxxxxx> wrote:
Consider it like this..

IF we take an irrational number n < 1, then in order to define it as irrational we must compare it to that 1.. Without the relation between the irrational number and 1 the irrational (yes i know it means ratio) properties of that number would never become apparent to us.

Nothing in that paragraph is true.


When ever we claim the existence of an irrational number n, we simultaneously suggest that we have compared that number to set for which the identity element is known.

You still haven't explained what the "identity element of a set" is.

Here is a number: sqrt(37). I claim this is irrational. Am I
simultaneously
suggesting that I compared sqrt(37) to a set? What set?

- Randy

.

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