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.