On Saturday, 12 January 2019 03:23:51 UTC-5, bassam king karzeddin wrote:
> On Wednesday, January 2, 2019 at 3:45:21 AM UTC+3, Jew Lover wrote:
> > There are still morons on sci.math who are denying Euler defined S = Lim S. Well, here is yet more evidence Euler did exactly this!
> >
> >
https://www.linkedin.com/feed/update/urn:li:activity:6486028326468227072
>
> Thanks to the free internet, where I found an answer by (conifold) that was highly voted (despite "Conifold" did not understand what he wrote...) FOR SURE
>
> But it seems that he is very knowledgeable about the history of many other issues in mathematics as well much better than so many resident trolls here on sci. math, who try hopelessly to keep Euler away from this scandal for sure
>
> But, so what? Euler had many other useful contributions in number theory or geometry, where that didn't guarantee him of making fatal mistakes for sure
Actually I think that Euler was a very good mathematician, except for S = Lim S and the really stupid claims he makes about infinity, that is, 1/oo = 0, etc.
Euler did not have my depth of understanding. No one in the history of humans did. Even my ancestors who were smarter than anyone else, didn't quite succeed in writing down the perfect derivation of number given that they understood it very well. What I am saying is the Euclid (don't confuse with Euler!) made some vague and circular definitions, but I have fixed all of that. There were some cracks in his foundations, but now they are solid - thanks to me.
Euler's greatest contribution was his method of solving first order differential equations from which all other methods such as the well-known Runge-Kutta numeric integration were realised.
No. The answer to this became evident when the first series approximations were realised. It all started with Newton and his interpolation polynomial.
That the measure of an incommensurable magnitude (NOT an irrational number) in ANY radix results in non-terminating non-repeating digits is a property of the fact that it has NO measure in any radix system.
On the other hand, rational numbers have the property that a repeating pattern will be noticed when measure is attempted in a radix that does not contain all the prime factors of the denominator, for example 1/3 =/= 0.333... However, 1/3 has an exact measure in many other radix systems, e.g. 1/3 = 0.1 (base 3).
So NOTHING is remarkable about these properties and they DO NOT define rational and irrational numbers.
>
> BKK