Physicist frequently use infinity when talking about fields (ex. V = integral of E*dr from 0 to infinity) but if the fields were infinite, be they gravitational or electric, they would span the entire universe and all things effected by it would collapse into a single, crushing point. This has clearly not happened and is not happening. QED, infinity is not real.
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Anonymous2013-01-27 16:53
everyone but jews and their shabbos goyim know this
Jewish people are awfully rich and powerful (ex. the media controlling Jews) but if they were awfully rich and powerful, then nobody would have control over the world and we would be all speaking in Hebrew and have absolutely no money in our bank accounts. QED, Jews don't exist.
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Anonymous2013-01-27 17:15
>>3
All math is bullshit. Physics is as Allah (pbuh) dictates. It is blasphemy to discuss otherwise or to question Allah's (pbuh) will.
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Anonymous2013-01-27 17:18
>>6
Jews don't have their own army, while wealth without army to defend it is nonsense. Jews are forced to use American Army to advance their interests.
>>8
IDF. I don't see how your post contributes to this thread, though.
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Anonymous2013-01-27 17:22
I noticed that you stopped going of with `Infinity is bullshit!' and now just claim that it isn't physical.
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Anonymous2013-01-27 17:26
>>10
That is different Anon. I (http://vk.com/id189833992) havent changed my beliefs a little, because "infinity" is just an undefined buzzword, just like all Set Theory. I'll continue hating Jews and spreading all forms antisemitism until there will be a viable finististic alternative to Set Theory. Jews must pay for what they did to computer science!
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Anonymous2013-01-27 17:28
>>9
IDF is too small to control entire globe. I.e. if some Germany claim its independence and goes Nazi again, IDF wont be able to stop such separatism.
>>11 What the fuck is this shit? Some Russian Facebook ripoff? And fuck off with your stupid letter things that make no sense and write in a real language there you stupid waste of flesh. I wish the soviets still had power so you'd be dying in a gulag right now.
Are C-4 and Semtex cheap in Russia, Comrade Nikita? I'm considering moving there so I can sodomize your tight ANUS. After that, we'd bomb ourselves together.
Although it will mark you as a visitor of antisemitic site.
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Anonymous2013-01-27 18:10
>>22
I know another slavic language, which is why I can ``decipher'' russian without too much trouble. It's even possible to use a common subset for all slavic languages: http://slovio.com/
The analog to that would be induction, but you don't always have to use it.
Let f(n) = 1/(n^2).
Let s(n) be the summation: s(n) = \sum_{i=1}^{n}(f(i)) = \sum_{i=1}^{n}(1/(i^2))
Prove that there exists an upper bound, c, such that for all chosen n, you have that s(n) < c.
You don't need to talk about infinity. You just avoid assuming an upper bound for n. So all your arguments would apply regardless of how large (or how small) n is.
>>37
Can you prove that there is an upper bound, given the sum of the series will forever be increasing..? for any s(n) = c, s(n+1) > c..
It appears that s(n) should also at least be an infinitely 'long' number (in decimal terms)... ie it is not finite unless you round off some digits / or decide to terminate(/limit) the series?
>>38 if that means i must live infinite lives, then gladly ^^
sorry, for s(n = infinity)...
mhm, i've read something similar before, except that link is a little different.. and i don't quite get the point of that one. Obviously the faster runner will overtake the slower one, if neither speed up nor slow down..
The one i've heard is that A is 3 blocks behind B, B travels 1 block per A travels 3, and at each corner(?), the speed of A & B drops to 1/3 the current speed, with corners at 3, 1, 1/3, 1/9, ... so A never catches B Can you prove that there is an upper bound, given the sum of the series will forever be increasing..?
>The Paradoxes of Motion
>Achilles and the tortoise...
Did you even look at the page you linked?
>The dichotomy paradox
Suppose Homer wants to catch a stationary bus. Before he can get there, he must get halfway there. Before he can get halfway there, he must get a quarter of the way there. Before traveling a quarter, he must travel one-eighth; before an eighth, one-sixteenth; and so on.
Since the distance to the bus is Finite, Homer can make it!
In some cases, yes, the series will remain bounded despite the fact that it is always increasing.
Consider a squirrel who is standing 10 feet from a pole. Every ten minutes, the squirrel moves halfway to the pole. The squirrel's distance from it's starting point is always increasing, yet it will never move past the pole.
For a more algebraic interpretation, consider the proof that s(n) = \sum_{i=0}^{n}(1/(2^{i})) is bounded.
Note that if r > 0, then you can do the following:
1 <= 1/2 + 1/4 + 1/8 ...... is breaking a finite number into an infinite number of fractions, but since they are all fractions of a finite number, the answer too is Finite..
But yeah, you are probably right..
1 + 1/4 + 1/9 + 1/16 + 1/25 ... may well be similar
the question is, Does the second set decrease fast enough to be bounded?
If we look at the squirrel, he might take steps of 90%, which drops quickly 90%, 9%, 1%, ... or he may take steps of 1%, but i'm unsure if you have such a situation....
So... it should be bounded at 2..?
1/2 -> 50%
0.4/1 -> 40%
0.111 / 0.6 -> 18%
well, it looks ok, but if the % ever starts increasing then it's probably a deal-breaker ..
Yes, that would work, via the comparison test. Because each term of 1/n^2 is less than or equal to the corresponding term of 1/n, and all terms are positive, if 1/n is bounded then 1/n^2 must also be bounded. But that isn't going to work because 1/n isn't bounded.
>>45
The distance is increasing indefinitely. Please take a course on reading comprehension.
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Anonymous2013-01-28 10:02
>>49 1 <= 1/2 + 1/4 + 1/8 ...... is breaking a finite number into an infinite number of fractions
Put it the other way around. An infinite series of fractions is going to be put together into a single finite number, which is the upper bound.
If 2 = Σ0∞2-n, then Σ0∞2-n = 2, obviously.
So yes, an infinite series can be equal to a finite number. Not all of them are, though. You should read a book on integral calculus.
>>67
It's probably the least abstract part of college-level mathematics you'll ever see.
I'd say discrete mathematics are the least abstract, but that includes set theory and you ragheads will blame the kikes for your shitty life in the sand dunes of Al-Jihadatakaboom, so I won't do that.
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Anonymous2013-01-28 11:37
>>26
Money serve the function dopamine. I.e. money are the dopamine of hive mind. The problem isn't with emission process, but with goals. USA wages wars and wastes resources.
>>72
Sarcasm, irony, idiocy, trolling, all look same.
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Anonymous2013-01-28 13:08
Nikita Sadkov
I propose to form a task force of Serpukhov unusual and ambitious people, those who are smart and angry at the world - those who are called subjective idealists. If you did not go to school or where you bullied or you are unemployed or have someone hurt or objective values you just alien and you do not feel in common with other people - write to me in private.
1
6 Dec at 4:13 am
Svetlana Shabaldina
Write, future monks madhouse named Nikita Sadkov!))))
Today at 2:39 am
Nikita Sadkov
Svetlana , someone should organize a potentially powerful people?
Three hours ago to Svetlana
>>80
I bet you're so le high, le reddit/b/ro. Le 10 upboats for /b/eing so le high, le cool as shit XD
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Anonymous2013-01-28 16:35
>>79
You're a thing of the past, libtard. You've already lost.
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Anonymous2013-01-28 16:40
>>38
This dimension of ours (that obviously u don't belong in) is linked with time, time defines every thing, you know the number 10 exponent 100 after the maximum possibility of finding a exact copy of a body becomes possible and maximum, then why can't there be an infinity, that would not make scenes that reputation could be finite
>>93
Actually, Nazis are the real non-conformists today, in our world controlled by the Jews. All these anarchists and punks are just subservient shabbos-goyim, happily working for Jewish corporations.
So all progressive people become Nazis.
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Anonymous2013-01-28 19:55
>>94
I wish the Nazi's had destroyed Russia in WWII.
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Anonymous2013-01-28 20:03
>>95
I wish the Nazi's had saved France from Jews in WWII.
Wondering, is that a special case.. or the general case..?
two's compliment is 0.5 or 50%, so if the squirrel needs/wants to only move 10%, what do you take 1/0.9 = 1.111 ?! ^^ that looks about right i think =), scale is kinda arbitrary, but easily fixed..
+ a /prog/ Quote of the day nominee Infinity is seldom over-estimated!
dubs maximus !
It probably should still be an open problem, as to whether the series 1 / n^2 is truly bounded..? the remaining fractions are kind of unstable as far as i can tell, and i don't like it =) there's an entire infinity for things to go wrong....
I did test the first 3 Billion(!) terms (took a couple of minutes in octave), and it was still a fair way away from 2 though, and slowing..
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Anonymous2013-01-28 22:24
>>94
your head is so far up your ass you can lick the inside of your stomach
...I still dont think n^2 is fast enough to be bounded ^^
i even tried 1/0.995, but the radical is still outpaced by even a very slow exponential when you extend the graph a bit ie 1.005^4000 is still 5x larger than 10000^2
tried again with 0.99995...
I'm starting to think i've found something interesting ^^
Is there a good solid understandable proof that the sum of the series 1 / n^2 Is bounded?
But you should try to prove it for a few days if you have the time. It may be fun and rewarding if you have enough of start point on it to make some progress.
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Anonymous2013-01-28 23:27
>>99
You're the moron from the banana programming thread. Get the fuck out already.
..it kind of needs to counter the simple (assumed-) fact that a bounded series needs to be 'x / some exponential' in order to come to rest at a finite number (by virtue of the fractional remainders)?
muahaha just wait till i learn calculus !! xD
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Anonymous2013-01-28 23:33
I CAN PROVE INFINIT IS REAL CAUSE IF I DON'T STOP COUNTING DA NUMBERS DON'T STOP COMING
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Anonymous2013-01-29 0:17
>>103 ty, there are lots of proofs linked from there...
here is one https://en.wikipedia.org/wiki/Integral_test
But is it flawed ?! It says the series 1 / n is infinite, because the sum of the area under the curve is infinite (...which is okay, no disagreement yet..)
But then why would 1 / n^2 not be infinite, since there will always be a small positive value under the curve for any value of n....
Even 1 / 2^n should be infinite by the same token.... argh am i doing it wrong or is it broken?!
obviously you have to ignore the part of the graph where x < ~0.5 ? (to make it simple, doesn't need to be 0.5 exactly but should be 0 < x < 1).. but even in the 1 / 2^n case, if it stays positive and extends to infinity.... then that is very close to being infinite by my own definition... and then ugh, you know i'm not going to bother counting to infinity, simply by definition it is impossible...
The only reason i would believe 1/2^n is finite under that proof, is that i only just finished proving it otherwise ^^ but i guess my definition too may be faulty.. and probably is =)
Still, shouldn't it be enough to show that the 'finite boundary'(?) of 'series'(??) is an exponential... (didn't i show that already?)
Plus, wouldn't it be cooler (^^) if the series 1 / n^2 does sum to infinity ? =)
trips !!! ^^
alright, to show the finite boundary is exponential, pick an exponential, and add 0.0000000000000000000000001 (etc) once (to one term only), and it will exceed its boundary by that amount.... hmm what does that prove.. lol
what about adding to all values above some term n, some small amount? (this amount will also grow(? to some extent(?) in comparison..?) as the exponential accelerates past..?)
what else could you do...? try to sum an infinite number of infintismals? =/
maybe, to model the increase, add another finite system..? (ie another (smaller?) exponential...)
...but then, wont you end up adding an infinite number of extra systems...? and then ? can that even be finite..?
^^ connect 4 get
just had to check, it is addition hey =) i almost thought it was subtraction for a second, which would balance itself pretty nicely... but no, now i'm fairly convinced.. =D
bout the only question left, is can you have the sum of an infinite number of exponential series that fall off exponentially, and still be finite?
Could that possibly describe 1/n^2 ..?
any number of nines you take :still not equal
What you need to understand is that 0.9 doesn't represent "a number of nines" but rather the fraction [m][b]infinity-1/infinity[b][/m], and that the difference between it and the natural 1 is so insignificantly small that for all intents and purposes it doesn't even exist.
>>137
NO, YOU HATE THE FRENCH, YOU'RE AN OPPRESSING FAGSTORM AND YOU'RE CURTAILING MY LE HUMAN RIGHTS. EAT A SNAIL, LE M'FAGSHITE.
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Anonymous2013-01-29 19:08
>>138-139
I rest assured that any francophone (i.e. any person who isn't shit, fuck you anglophone scum) can distinguish my french language posts by their lack of grammatical errors and superfluous ``le''s.