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Topic:
The objects that Newton played with were called infinite series but had ZERO to do with infinity. The name infinite series is a misnomer.
Replies:
3
Last Post:
Sep 30, 2017 3:10 PM




Re: The objects that Newton played with were called infinite series but had ZERO to do with infinity. The name infinite series is a misnomer.
Posted:
Sep 30, 2017 2:42 PM


Formally you can multiply two series, even if they are not coverging. For example by the box method,
you can multiply the following two series:
s = 1  1 + 1  1 ... = diverges
t = 0 + 1  1 + 1 ... = diverges
By the box method you get:
s*t = 0 + 0 + 0 + 0 + ... = 0
So Newton and all these guys that don't use convergence criteria, might get converging series as some endproduct, maybe claiming wrong poperties about these series.
For example if Newton would believe that s had a value and that t had a value, he would have believed that he had found a factoring of zero:
s*t = 0
Or there are bird brains such as John Gabriel, who believe they have found a new calculus, by not working rigorously.
Am Samstag, 30. September 2017 20:36:47 UTC+2 schrieb John Gabriel: > The piece of shit Cauchy wasn't even born when Newton pondered these things. > You consistently misunderstand the crux of my comments. It would help if you tried to at least improve your reading comprehension skills.



