On Thursday, November 2, 2017 at 6:49:06 PM UTC+1, j4n bur53 wrote:
> 3) Real numbers don't exist
On the other hand, he just justified the existence of the sum of a certain infinite series by referring to the LUB! :-)
Indeed:
"If a sequence of real numbers is increasing and bounded above,
then its supremum (LUB) is the limit." (Wikipedia)
With other words, he obviously adopted the notion of /limit/ in disguise. Now it's clear that this approch "in general" only works in the context of real numbers (but not in the context of the rational numbers).
Actually,
1/1 + 1/2 + 1/6 + 1/24 + 1/120 + ... = e .