Date: Nov 17, 2012 4:23 PM
Subject: Re: Matheology § 152

On 17 Nov., 21:21, William Hughes <> 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

Piffle. Mathematics serves as a tool to predict scientific results.
Therefore its results must be independent of the method and of the
If the value of the continued fraction
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