Date: Nov 17, 2012 4:23 PM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 152
On 17 Nov., 21:21, William Hughes <wpihug...@gmail.com> wrote:

> (nor is there a problem that WM two limits are different)-

Interesting. A nice claim.

The limit of a sequence may depend on the method which is used to

calculate it? Perhaps it may even depend on the person who calculates

it?

Piffle. Mathematics serves as a tool to predict scientific results.

Therefore its results must be independent of the method and of the

person.

If the value of the continued fraction

((((((10^0)/10)+10^1)/10)+10^2)/10)+?

is infinite, then set theory cannot yield a result < 1 (because for no

digit left to the decimal point there remains an index - but digits of

decimal representations cannot exist without indexes). If both results

were tolerated, then mathematics would lose its state of being a

useful tool for scientific applications.

Therefore the result of set theory is humbug.

Regards, WM