Re: abundance of irrationals

From: Robin Chapman (rjc_at_ivorynospamtower.freeserve.co.uk)
Date: 01/13/05 

Date: Thu, 13 Jan 2005 19:02:10 +0000

mueckenh@rz.fh-augsburg.de wrote:

> I have not
> introduced the argument that there are no irrationals at all, but
> accepted that there may be as much as you desire:

No. Whether anyone desires it or not, there are uncountably many
irrationals. You have not accepted that. Your non-acceptance
tells us nothing about numbers but much about your intellectual limits.

> In any case there are
> not more than rationals.

No.

> (In fact, there is none, but that does not matter.)

No. There are (uncountably many) irrational numbers. 

-- 
Robin Chapman, www.maths.ex.ac.uk/~rjc/rjc.html
"Lacan, Jacques, 79, 91-92; mistakes his penis for a square root, 88-9"
Francis Wheen, _How Mumbo-Jumbo Conquered the World_

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