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If Infinite Monkey Were Typing On A Computer…

Author
FloppieTheBanjoClown
Arcana Imperii Ltd.
#201 - 2012-08-02 22:27:34 UTC  |  Edited by: FloppieTheBanjoClown
Eternum Praetorian wrote:
No we start with 100


Progress!

So 100 is impossible? What about 99? Is 99 possible?

I want you to plainly state where you draw the line. One number is possible in a truly random system, and the next isn't. Or else you aren't making a claim that can be verified scientifically, while ours is supported by the limited sample sets we have generated so far.

Founding member of the Belligerent Undesirables movement.

Eternum Praetorian
Doomheim
#202 - 2012-08-02 22:30:18 UTC
FloppieTheBanjoClown wrote:
Eternum Praetorian wrote:
No we start with 100


Progress!

So 100 is impossible? What about 99? Is 99 possible?




More games I see... and no evidence.




I don't know, the burden of proof is on you after all. You should tell me... but you will need some hard evidence or it is all just theoretical.

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Akita T
Caldari Navy Volunteer Task Force
#203 - 2012-08-02 22:30:25 UTC  |  Edited by: Akita T
Eternum Praetorian wrote:
Ok so a computer can do that pretty easily then?

20 in a row ? Pretty easy on a computer checking that.
You'd need about 25 MB of completely random data for that to almost certainly happen.
Quote:
Has it been done to your knowledge? Because I know of no such experiment?

I'm fairly sure somebody DID do that at some point in time, but doing that experimentally is pointless, because we already know the likely results. The experiment would have a minimal impact on the science community and thus be wholly unremarkable. It would be a miracle if you WOULD have heard of it.
Quote:
More to the fact we would be looking more to the 50-100 range and greater.

5, 10, 20, 100, 1 billion, it doesn't matter. The laws of probability don't suddenly change after a certain number.
Eternum Praetorian
Doomheim
#204 - 2012-08-02 22:32:48 UTC
Akita T wrote:
Eternum Praetorian wrote:
Ok so a computer can do that pretty easily then?

20 in a row ? Pretty easy on a computer checking that.
Quote:
Has it been done to your knowledge? Because I know of no such experiment?

I'm fairly sure somebody DID do that at some point in time, but doing that experimentally is pointless, because we already know the likely results. The experiment would have a minimal impact on the science community and thus be wholly unremarkable. It would be a miracle if you WOULD have heard of it.



Ah I see... we are just right and we know it. Behold the math religion in all of it's glory. Big smile

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Akita T
Caldari Navy Volunteer Task Force
#205 - 2012-08-02 22:35:47 UTC
So write your own routine then, and check 210 million random bits to see that you actually DO get several 19 in a row and almost certainly at least one 20 in a row (possibly even a 21 in a row, maybe even 22 in a row or with a so-so chance a 23 in a row).
Or do you want ME to write it ? Would you run an EXE I send you ?
FloppieTheBanjoClown
Arcana Imperii Ltd.
#206 - 2012-08-02 22:35:54 UTC
Eternum Praetorian wrote:
FloppieTheBanjoClown wrote:
Eternum Praetorian wrote:
No we start with 100


Progress!

So 100 is impossible? What about 99? Is 99 possible?


More games I see... and no evidence.

I don't know, the burden of proof is on you after all. You should tell me... but you will need some hard evidence or it is all just theoretical.


We know that I've been able to generate 20.

So let's say I've just flipped 20 heads in a row. You'll admit that is possible. What are the odds that the next toss will be heads? 50/50. What's stopping that coin from landing on heads again? Randomness suggests that half the time I flip 20, I should get 21.

Half the time I flip 21, I should get 22.

Half the time I flip 22, I should get 23.

Half the time I flip 23, I should get 24.

Half the time I flip 24, I should get 25.

Do you disagree? If so, why? And where does it break down?

You're making a claim. Your claim is that at some point, the 50/50 coin flip ceases to be 50/50 and it is IMPOSSIBLE for that coin to land on heads again. I want to know where that is.

Founding member of the Belligerent Undesirables movement.

Eternum Praetorian
Doomheim
#207 - 2012-08-02 22:39:37 UTC
FloppieTheBanjoClown wrote:
[

You're making a claim. Your claim is that at some point, the 50/50 coin flip ceases to be 50/50 and it is IMPOSSIBLE for that coin to land on heads again. I want to know where that is.



No sir you are clearly making a claim. You say given endless amounts of time you can flip 10 billion billion billion heads in a row... that is your claim and your burden of proof. Not mine.

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Akita T
Caldari Navy Volunteer Task Force
#208 - 2012-08-02 22:41:28 UTC  |  Edited by: Akita T
Eternum Praetorian wrote:
No sir you are clearly making a claim. You say given endless amounts of time you can flip 10 billion billion billion heads in a row... that is your claim and your burden of proof. Not mine.

Given 100 throws, you CAN flip 100 heads. It's just improbable. No proof needed there.
Given 10 billion billion billion throws, you CAN flip 10 billion billion billion heads in a row. It's just insanely improbable. Not impossible, but so unlikely it boggles the mind. No proof needed there either.

With each additional throw, that improbability decreases.
At some point, you reach a place where the improbable becomes probable, and at an even later point, the probable becomes ALMOST unavoidable.
No proof needed there either.
Eternum Praetorian
Doomheim
#209 - 2012-08-02 22:46:02 UTC
Akita T wrote:
Eternum Praetorian wrote:
No sir you are clearly making a claim. You say given endless amounts of time you can flip 10 billion billion billion heads in a row... that is your claim and your burden of proof. Not mine.

Given 100 throws, you CAN flip 100 heads. It's just improbable. No proof needed there.
Given 10 billion billion billion throws, you CAN flip 10 billion billion billion heads in a row. It's just insanely improbable. Not impossible, but so unlikely it boggles the mind. No proof needed there either.

With each additional throw, that improbability decreases.
At some point, you reach a place where the improbable becomes probable, and at an even later point, the probable becomes ALMOST unavoidable.
No proof needed there either.



You always need proof akita, that is just life. You make a theory and you have to prove it. Yes, it is possible but that does not mean that is the inevitable outcome. That is what I mean when I say that you are not factoring in all the variables, and it is a failure of statistical theory not math in general.


But regardless... you have to prove it. You or everyone else in the world or it is not a fact. Period. It is just a theory.

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Akita T
Caldari Navy Volunteer Task Force
#210 - 2012-08-02 22:47:22 UTC
It's really simple.
Let's take N=10 to be a streak length you can't possibly deny it's impossible, because you have gotten it yourself quite a few times.

Whenever you get a streak of heads of length N=10, you have a 50% chance to throw an extra head.
For every 2 streaks of 10 heads, ON AVERAGE, you will also get a single streak of 11 heads.
For every 2 streaks of 11 heads, ON AVERAGE, you will also get a single streak of 12 heads.

For every 2 streaks of N heads, ON AVERAGE, you will also get a single streak of N+1 heads.
That is always valid, REGARDLESS of the value of N.

There's your impossible to refute logical proof up to any value of N.
If you want a practical proof, you have to restrict yourself to values of N that could realistically be attained in a reasonable amount of time.
Eternum Praetorian
Doomheim
#211 - 2012-08-02 22:48:02 UTC  |  Edited by: Eternum Praetorian
That is not physical proof... are you daft?



P.S.
Apparently true randomness does not even exist in a computer simulation, am I right? So who knows what the reality of it is?

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Akita T
Caldari Navy Volunteer Task Force
#212 - 2012-08-02 22:49:48 UTC  |  Edited by: Akita T
Eternum Praetorian wrote:
That is not physical proof... are you daft?


For his next move, Eternum Praetorian will ask for proof that the red I see when I look at a certain patch of red paper is the same red he sees when he looks at the same patch of red paper.
Sheesh.

Want physical proof for 20 heads in a row ? Keep flipping those sets of 200 coins just 1 million more times and you will have your physical proof. It's there, you just need to check for yourself.

...

Answer these extremely simple questions:

1) For every 2 separate streaks of N heads, ON AVERAGE, you will also get a single streak of N+1 heads at the next flip - TRUE or FALSE ?
2) Is there a limit to the number of streaks of 10 heads in a row "given as much time as you want" ? And what is that limit ?
Eternum Praetorian
Doomheim
#213 - 2012-08-02 22:55:00 UTC  |  Edited by: Eternum Praetorian
Akita T wrote:
For his next move, Eternum Praetorian will ask for proof that the red I see when I look at a certain patch of red paper is the same red he sees when he looks at the same patch of red paper.
Sheesh.


Answer this extremely simple question:
For every 2 separate streaks of N heads, ON AVERAGE, you will also get a single streak of N+1 heads - TRUE or FALSE ?




This new generation of scientists.... ewww....


That is some bad bad science. This is why we got string theory, people ended up thinking that math and a chalkboard could interpret all of their reality without ever actually seeing it. Theory ---> Observation is the simplest equation of them all... and you seem to be casting it to the wind. You have been notified--what you choose to do with this information is entirely up to you. I will see you later for our soon to be statistical pseudoscience threadnaught rant.


Thx for the fun at least Big smile




I will say one thing Akita, you sure know your math. I hope you have allot of money in real life or your nerd brain is going to waste in your mothers basement.

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Akita T
Caldari Navy Volunteer Task Force
#214 - 2012-08-02 22:57:58 UTC
So you are denying that after a streak of N heads, there's a 50% chance that throw N+1 will be heads ?
And you call me a bad scientist ?
Laughable.
Eternum Praetorian
Doomheim
#215 - 2012-08-02 23:04:48 UTC
Akita T wrote:
So you are denying that after a streak of N heads, there's a 50% chance that throw N+1 will be heads ?
And you call me a bad scientist ?
Laughable.



It is called statistical theory for a reason. You still have to prove it. Blink

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Akita T
Caldari Navy Volunteer Task Force
#216 - 2012-08-02 23:09:43 UTC  |  Edited by: Akita T
Eternum Praetorian wrote:
It is called statistical theory for a reason. You still have to prove it. Blink

You're confusing "scientific theory" (a.k.a. "a well-substantiated explanation of some aspect of the natural world, based on a body of facts that have been repeatedly confirmed through observation and experiment") with "scientific hypothesis" ("a testable but yet untested proposed explanation for a phenomenon").
Thank you for shooting yourself in the foot.

Also, what's there to prove that an event that has a 50% chance of happening will on average happen 50% of the time ?
It kind of is its very freaking definition.
Or, you know, that, on average for 2 tosses, given a sufficiently large number of tosses, you get on average roughly one head and roughly one tail.

Again, WHAT is in your opinion the chance of flipping heads on a perfectly fair coin ?
Not a real coin, which is slightly biased, but a perfectly fair one.
Is it somehow magically NOT 50% at some point ?
And if so, at which exact point ?
And WHY ?
FloppieTheBanjoClown
Arcana Imperii Ltd.
#217 - 2012-08-02 23:10:21 UTC
Okay trollboy, one last try. If I flip a coin and get heads, the odds of the next one being heads is 50%. Akita and I have both plainly stated that and you can easily test it. That means no matter how many coins you toss, the odds of the next one being heads is 50% . Even if you get 100 heads in a row the odds never change. For it to be impossible to get X consecutive heads, at some point those odd MUST change. Unless you are willing to asset that the odd of a coin toss change based on the preferring tosses, then you rely entirely on an argument from incredulity and there's nothing further to discuss.

Founding member of the Belligerent Undesirables movement.

Eternum Praetorian
Doomheim
#218 - 2012-08-02 23:15:58 UTC  |  Edited by: Eternum Praetorian
It's not a troll.




Physical proof of concept should not be to much to ask of anyone, let alone a self-proclaimed "scientist". You should not get so mad at the messenger, look to thy own self TBH. You cannot supply evidence to support your claim, this does not mean that your claim is wrong, but does mean that it is still only a theory.




Simple really, but I understand if your anger (or ego) prevents you from admitting to that fact. It is a common trait TBH that inquiring minds would best be served to do without.

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Akita T
Caldari Navy Volunteer Task Force
#219 - 2012-08-02 23:18:52 UTC
Eternum Praetorian wrote:
Physical proof of concept should not be to much to ask of anyone

It IS too much to ask if the length of the physical proof would surpass the storage capacity of the entire planet.
Eternum Praetorian
Doomheim
#220 - 2012-08-02 23:24:20 UTC  |  Edited by: Eternum Praetorian
Akita T wrote:

Again, WHAT is in your opinion the chance of flipping heads on a perfectly fair coin ?
Not a real coin, which is slightly biased, but a perfectly fair one.
Is it somehow magically NOT 50% at some point ?
And if so, at which exact point ?
And WHY ?



In order t o fully address this question we would have to first answer the most basic question, does true randomness even exist? I mean, you keep coming up with these imaginary ideas (like infinity and an imaginary completely unbiased coin) but do they really even exist? In your imaginary world you can make anything do anything, but in the physical world it the reality of it might paint a different picture. That is why science requires observable proof.


That would req an entirely new thread.


Quote:
It IS too much to ask if the length of the physical proof would surpass the storage capacity of the entire planet.


This is practicing avoidance. Make it smaller? Making it the largest possible value and then go for it. Also, the above statement is worthy of the short bus, since the output would not have to be recorded. Only the "hit" would have to be recorded and the rest can be referenced in scientific notation. Duh?



But at least we have gotten to the meat of the issue here... you have no observable proof after all do you? I am a little suprised TBH, because I thought you did. Oh well.

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