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ElohimJD
reply to post by KrzYma
That video is exceptional thank you for the contribution.
KrzYma
reply to post by Soylent Green Is People
The answer people are looking for in the real world is not based on an average, but on a real straightforward sum. The answer of "-1/12" is a function of the math itself, NOT a function of what really happens when I add whole things together.
YES, but if you watch the vids thy claim it is -1/12
Miniscuzz
The Physicist in the video showed that in a 2013 Textbook the answer is indeed -1/12
Physics doesn't deal with "Infinity" as a number....infinity can't even be a number.
In order to apply string theory in a mathematical formula, you must have some sort of constant variable. There was no "trickery" involved in the equation the Professor showed in the video. It was all basic Algebra even a 5th grader could understand.
KnightLight
Basically this leans more to the universe not coming from 0 than anything else. Lets see it.
bastion
reply to post by KnightLight
This uses basic differentiation of n(n+1) / 2 when n = -1 and the induction method to arrive at the answer - brush up on these and it'll make sense.
The second video provides a full, easy to understand proof of the problem and the logic behind it, the first video doesn't though and jumps through steps making it seem illogical to someone not familiar with the maths involved.edit on 26-2-2014 by bastion because: (no reason given)
KnightLight
Basically this leans more to the universe not coming from 0 than anything else. Lets see it.
ElohimJD
Best and most accurate sentence in this thread. This truly summarizes what was proved by the math.
Exceptional post in total, but this one simple to understand concept was excellently described.
God Bless,
Soylent Green Is People
However, the answer of "-1/12" is still just a function of the maths itself (due to the attempt by the maths being used to define the virtually-impossible-to-define concept of infinity) rather than being what is truly there in the real world. I say this because in the real world, if I start putting apples in bushels, and even if I can conceptually do it for eternity, there will be no way that I will ever have -1/12 apples.
saneguy
Soylent Green Is People
However, the answer of "-1/12" is still just a function of the maths itself (due to the attempt by the maths being used to define the virtually-impossible-to-define concept of infinity) rather than being what is truly there in the real world. I say this because in the real world, if I start putting apples in bushels, and even if I can conceptually do it for eternity, there will be no way that I will ever have -1/12 apples.
This work is not applicable to counting apples - it applies to quantum mechanics etc. Its not about the reality of counting apples its about the reality of string theory etc.
bastion
reply to post by ElohimJD
That's precisely why -1 i chosen
You need to differentiate the function first (i.e 2n/2+ 1/2) as explained in the second video.
Continuing this process causes the S,..Sn, +/- alternating series which tends to -1/12.edit on 26-2-2014 by bastion because: (no reason given)
What the first video skips out is the letting n = -1 which is the crucial step made here as it's the only integer that makes the series converge (otherwise it tends to infinity).edit on 26-2-2014 by bastion because: (no reason given)edit on 26-2-2014 by bastion because: (no reason given)
Soylent Green Is People
They didn't really explain the point that because infinity cannot be truly defined, the answer is only a mathematical construct (a function of the maths used). It is "infinity" that is causing the problem here, because as soon as with put a finite end to this mathematical series, the sum collapses into a positive integer.
I watched the first video and it makes me cringe that the guy with the PhD in math doesn't seem as smart as the guy doing the interview who doesn't know math as well, yet seems smarter.
retirednature
It's truly the most amazing rabbit hole ever devised.
btw...
As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.
At the end of the first video there was a link to more and I clicked that link, then there was a link to more at the end of that video and I watched that. I checked that third video against your third video and they didn't match, but the second video did which I didn't check until reading your reply, so yes I watched it.
retirednature
reply to post by Arbitrageur
You should have watched the entire video and then the second part which I provided latter the former.
I love math, because we can do practical things like this with it:
Maybe maths aren't your thing, or you just dont get excited over the stuff.... but the fundamental principal being presented here is fairly significant.