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