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OK, this is ridiculous (I don't care if physicists use it, I only care about it mathematically) and I doubt it's mathematically correct for the following reasons. If someone knows about the subject please inform me, because I think this is some bs. So here we go:
Objection 1:
Proof of first video:
S = 1+2+3+4+5+... is not a valid statement because he is assuming that the sum has a real value and he is doing operations that are true only in R (real number set).
If the sum was infinite then when he says 2S-S it would be ∞-∞ which is undefined and not S.
Objection 2:
Proof of second video:
What he writes at some point is true for |x|<1 AND NOT x<1 and therefore he can't substitute x= -1 as he later does.
Wikipedia clearly states here that:
Re(s) > 1 and again he can't substitute x = -1 because Re(-1) = -1<1
It gets even worse...
Objection 3:
Another youtuber clearly using a similar method arrives to the conclusion that 1+2+3+4+... = -1
So obviously -1 =/= -1/12
Therefore something is really wrong here.
Objection 4:
I can use the same method to prove that 0 = -1
Let S = 1+2+3+4+...
then 2S = 2+4+6+8+10+...
S = 2S-S = 2+4+6+8+... -(1+2+3+4+...) = 2+3+4+5+6+... = S-1
Hence S = S-1 =>
0 = -1
Good job, Einstein!
Obviously this is not true. If physicists use this then I am really dissapointed and I have lost all the respect I had for them.
Am I right or what?
NOTE: I have changed opinions since I opened this thread. Apparently I rushed on making conclusions.
•I have found the answer to the universe and everything, but this sign is too small to contain it.
(This post was last modified: 04-03-2014, 01:35 PM by BAndrew.)