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Richard Deeming wrote: Ramanujan: Making sense of 1+2+3+... = -1/12 and Co. - YouTube[^]
Thanks! Very Interesting!
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Government can give you nothing but what it takes from somebody else. A government big enough to give you everything you want is big enough to take everything you've got, including your freedom.-Ezra Taft Benson
You must accept 1 of 2 basic premises: Either we are alone in the universe or we are not alone. Either way, the implications are staggering!-Wernher von Braun
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Seems like that's an integer underflow problem -- you need a bigger processor.
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Government can give you nothing but what it takes from somebody else. A government big enough to give you everything you want is big enough to take everything you've got, including your freedom.-Ezra Taft Benson
You must accept 1 of 2 basic premises: Either we are alone in the universe or we are not alone. Either way, the implications are staggering!-Wernher von Braun
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Google it and you'll find the "proof" (as in mathematical proof) that shows how the number was derived.
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Richard Deeming had a link and I was being facetious and snarky.  Pretty cool math.
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Government can give you nothing but what it takes from somebody else. A government big enough to give you everything you want is big enough to take everything you've got, including your freedom.-Ezra Taft Benson
You must accept 1 of 2 basic premises: Either we are alone in the universe or we are not alone. Either way, the implications are staggering!-Wernher von Braun
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F-ES Sitecore wrote: The sum of all positive integer numbers from 1 to infinity is -1/12. Proven by science
When I was a kid, I wanted to see what the largest integer the PDP-11 could count to. Then I wondered what happened when you added 1 to that. It was amusing to discover that I then found the smallest negative number.
Marc
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Learning to code with python is like learning to swim with those little arm floaties. It gives you undeserved confidence and will eventually drown you. - DangerBunny
Artificial intelligence is the only remedy for natural stupidity. - CDP1802
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raddevus wrote: The Universe cannot be infinite
Then where does it end and what's on the other side?
There are two kinds of people in the world: those who can extrapolate from incomplete data.
There are only 10 types of people in the world, those who understand binary and those who don't.
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RyanDev wrote: Then where does it end and what's on the other side?
That was exactly the point I was driving at.
And, I'm sure you are asking that question rhetorically.
However, let us continue this line of thought.
The fact that you cannot fathom what is on the other side does not preclude it and infinity is, of course, in a physical world, impossible.
Here's your thought experiment to understand why infinity is impossible in a physical world.
Thought Experiment
Imagine you have a sidewalk that extends through your infinite Universe.
You are walking on the sidewalk. Uh, it just continues forever? What would that mean? It's not possible. It's impossible since we know that even the energy (thus mass) is of a limited quantity in the Universe.
Now, that gets you to a point where you absolutely must decide that the Universe (physical reality) has limitations.
The hard part is that you will now have to confront that reality (few people do and fewer want to) and decide that you now know that physicality cannot be the only thing.
Since the Universe cannot be infinite, there has to be an end somewhere. That means you must now contemplate what that means.  Good discussion. And, I'm sure it's not done. 
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raddevus wrote: I'm sure you are asking that question rhetorically.
Actually no. I disagree with you that infinity is impossible in a physical world. And I'm serious, if it ended somewhere, what does that mean?
There are two kinds of people in the world: those who can extrapolate from incomplete data.
There are only 10 types of people in the world, those who understand binary and those who don't.
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RyanDev wrote: I'm serious, if it ended somewhere, what does that mean?
It means your world (Universe) is smaller than you thought...and then instantly it is far, far larger. (You know? Because there's a whole other side to the Universe thing.)
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You seem to be dodging the question. 
There are two kinds of people in the world: those who can extrapolate from incomplete data.
There are only 10 types of people in the world, those who understand binary and those who don't.
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Artfully though. Very artfully. 
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raddevus wrote: Uh, it just continues forever? What would that mean? It's not possible.
So it's impossible because it's impossible? That seems a little recursive.
raddevus wrote: It's impossible since we know that even the energy (thus mass) is of a limited quantity in the Universe.
Since we can't even see beyond our "tiny" little 91 billion light-year wide bubble of stuff, there's no way to know whether that's true. All we can say is that there's a finite amount of stuff in our finite bubble.
I guess it depends on whether we define "the Universe" as everything within our connected spacetime that could have a chance to interact with us and vice versa[^], or the entirety of the space in which our bubble exists.
And we haven't even touched on which "infinity" we're talking about! 
Aleph number - Wikipedia[^]
"These people looked deep within my soul and assigned me a number based on the order in which I joined."
- Homer
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Richard Deeming wrote: Since we can't even see beyond our "tiny" little 91 billion...
And this was actually my entire point. No way to know.
Except, most "scientists" and mathematicians believe there is a limit to everything (energy) -- except philosophical debates.
And if what you say is right then why so much confidence in what Stephen Hawking or Brian Greene or Michio Kaku say? I know as much as they do.
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raddevus wrote: And if what you say is right then why so much confidence in what Stephen Hawking or Brian Greene or Michio Kaku say? I know as much as they do.
Yes, but they know some extremely long technical words they can use to explain it!
"These people looked deep within my soul and assigned me a number based on the order in which I joined."
- Homer
modified 16-Jun-17 14:18pm.
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Richard Deeming wrote: Yes, but the[y] know some extremely long technical words they can use to explain it!
Haha, so true. Also, they are backed up by
Academic Theoreticians
And they are always right, because they told us so.
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Supercalifragilisticoespialidoso?
M.D.V.
If something has a solution... Why do we have to worry about?. If it has no solution... For what reason do we have to worry about?
Help me to understand what I'm saying, and I'll explain it better to you
Rating helpful answers is nice, but saying thanks can be even nicer.
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If you say it loud enough, we won't notice that you spelt it wrong!
"These people looked deep within my soul and assigned me a number based on the order in which I joined."
- Homer
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I don't know how to spell it on english, that's on spanish
M.D.V.
If something has a solution... Why do we have to worry about?. If it has no solution... For what reason do we have to worry about?
Help me to understand what I'm saying, and I'll explain it better to you
Rating helpful answers is nice, but saying thanks can be even nicer.
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Quote:
And if what you say is right then why so much confidence in what Stephen Hawking or Brian Greene or Michio Kaku say? I know as much as they do.
Brian Greene doesn't deserve to be in that list imho. He is to physics, what Dr. Phil is to psychology.
modified 20-Oct-19 21:02pm.
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Termi Nater wrote: He is to physics, what Dr. Phil is to psychology.
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raddevus wrote: we know that even the energy (thus mass) is of a limited quantity in the Universe.
That is not known, unless you use the zero-energy universe hypothesis, but then it doesn't limit the amount of mass either since the net amount of energy is independent of the amount of stuff.
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I'm saying something much more important here.
I'm saying that the Universe is physical.
If it isn't then we are talking about something that could even be an intelligence and then forget about understanding anything.
I'm saying that since the Universe is physical and we are physical then it has a limit.
An infinite anything instantly goes beyond physical and instantly becomes metaphysical and we cannot even hope to begin to study it.
So, if we are going to believe in a mechanical Universe then it has a limit.
If it has a limit then what is on the other sides? That is the real question.
If it doesn't have a limit (if it were infinite) then it is not mechanical and physical.
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The rule is that measurable quantities cannot be infinite, but an infinite universe doesn't have a proper size let alone a measurable size. There is no contradiction here, an infinite universe can be physical.
Whether talking about "the other side" even makes sense depends on the nature of the finiteness
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Consider this: you have a ruler made of plastic that is infinitely long.
So you hold out your ruler and it extends to infinity. What!?!
Instantly, we all know that is impossible. It's a physical thing. Only conceptually can something continue to go on forever.
Thus, the Universe, which is made up of the same basic elements that the ruler is made up of, cannot possibly be infinite.
So, the Universe has to be at least slightly less than infinite. But as soon as it is not infinite then you can reach the edge (end) and ponder what is on the other side.
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raddevus wrote: that is impossible
Would that also apply to singularities?
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