Re: Cantor and the binary tree

Matt Gutting wrote:

> I am using real math. "As x approaches infinity" is a shorthand for "as x
> increases without bound". As x increases without bound, x remains finite. You
> are thus noting a property of finite numbers, and generalizing the property
> to something that is not finite.

I don't think any careful person says "x _approaches_ infinity", as it
makes no sense. The normal (sloppy) 'shorthand' might be "x goes to
infinity", but this is a bit like says "as the cursor goes off the
screen" - no-one tries to argue there must be a cursor position called
"off the screen".

Anyway, good luck with Orlovia.

Brian Chandler
http://imaginatorium.org

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