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If Infinite Monkey Were Typing On A Computer…

Author
FloppieTheBanjoClown
Arcana Imperii Ltd.
#261 - 2012-08-03 03:44:38 UTC
I figured it out. After 121 heads, the universe divides by zero and triggers an emergency procedure in which the coin ceases to exist and is retconned out of time so that it was never flipped in the first place.

Founding member of the Belligerent Undesirables movement.

dexington
Caldari Provisions
Caldari State
#262 - 2012-08-03 09:53:47 UTC
Eternum Praetorian wrote:
dexington wrote:
Eternum Praetorian wrote:
If you are so certain that what I am saying is untrue... then prove it. Give me some kind of random output that can reach 10,000 heads, 1's or whatever and then you might have a leg to stand on. I invite you to prove your hypothesis or submit information that supports your hypothesis.


Are you saying that you don't believe that it's possible to flip 10.000 heads continuously, or to put it another way when the chance is small enough it's impossible for something to happen?



I believe that I clearly stated "the burden of proof is on you" (tm).


And then I added...

Quote:
If you can't prove it, but you still insist that it is 100% fact... then you practice bad science. Simple.



Ya know... just to be 100% clear for the reading comprehension disabled portion of the forum. You're welcome! Big smile


There is nothing special about flipping 10.000 heads, doing 10.000 predefined flips always have the same chance, e.g. it would just as unlikely that you flip the 010101010101...010101 combination for 10.000 continuous flips.

if you flip the coin 10.000 times and write down what you flip, you know without any doubt that you have a combination that the possible to flip. You now have the exact same chance of flipping that combination again as you would flipping 10.000 heads.

I'm a relatively respectable citizen. Multiple felon perhaps, but certainly not dangerous.

Eternum Praetorian
Doomheim
#263 - 2012-08-03 10:51:06 UTC  |  Edited by: Eternum Praetorian
FloppieTheBanjoClown wrote:
Eternum Praetorian wrote:
You may fail at programing is all. As stated the total output does not have to be recorded.


I thought through the basic logic for such a program on my drive home. All you'd have to do is count the total number of coin tosses and record the current streak and the highest streak. The data storage would be minute.

The problem comes with the time required to produce the volume of flips necessary to yield the results you expect. Post #2 again...at 10,000 flips per second, it would take the current age of the universe just to yield a run of 60 consecutive heads.



Well sir, then it remains a theory to some of us. I am not prepared to put my "faith" in any single equation, because there is always room for the unexpected. For example, perhaps a 100% perfectly fair coin flipped in a closed environment might behave the way that the math says it would... but is there even such a thing? It's just like infinity, it is imaginary. Fairy dust and pixies expressed in numbers.

I mean, did god make this magical coin?
Did aliens?
Did it accidentally come into being?
Can the universe ever truly be perfectly random and/or balanced in the first place?

You are making all of these assumptions before you even flip the coin, because they are necessary for your equation to work as intended when the values become very large.



So the reality of it may be different then the math do to unexpected variables. If you are unwilling to account for such a possibility, then you are simply beneath me sir. I prefer the purer arts of science over the religious version. Anything that is unproven may be questioned and nothing is fact until it is observed. Welcome to the real world. Blink




Also:

Monkeys...
Setting charges.
& making Hamlet LOL

It is amazing what people will believe in the absence of the provable. (tm)

[center]The EVE Gateway Blog[/center] [center]One Of EVE Online's Ultimate Resources[/center]

dexington
Caldari Provisions
Caldari State
#264 - 2012-08-03 11:43:53 UTC  |  Edited by: dexington
Eternum Praetorian wrote:
So the reality of it may be different then the math do to unexpected variables. If you are unwilling to account for such a possibility, then you are simply beneath me sir. I prefer the purer arts of science over the religious version. Anything that is unproven may be questioned and nothing is fact until it is observed. Welcome to the real world. Blink


You understanding of randomness, predictability and probability is comparable to that of a small child, and you have absolutely no interest in educating yourself in any of the areas. You are content with a religious point of view where everything is controlled by some greater force, which no one can prove does not exist and there for has to exist.

What you claim has nothing to do with science, it's the same fundamentally flawed ideas that are used in other crackpot theories like intelligent design.

Saying you prefer pure science over religion is even more laughable then you pitiful understand of elementary mathematics.

I'm a relatively respectable citizen. Multiple felon perhaps, but certainly not dangerous.

FloppieTheBanjoClown
Arcana Imperii Ltd.
#265 - 2012-08-03 11:49:56 UTC
Eternum Praetorian wrote:
Well sir, then it remains a theory to some of us.

Please stop abusing that word. You clearly don't understand what it means.

Eternum Praetorian wrote:
I am not prepared to put my "faith" in any single equation, because there is always room for the unexpected. For example, perhaps a 100% perfectly fair coin flipped in a closed environment might behave the way that the math says it would... but is there even such a thing? It's just like infinity, it is imaginary. Fairy dust and pixies expressed in numbers.

Right, so you start a thread asking about the infinite monkeys concept and then dismiss anything that would require absurd amounts of time to produce the results that would satisfy you. You've created a catch 22 where it's impossible for your mind to be changed.

Eternum Praetorian wrote:
So the reality of it may be different then the math do to unexpected variables. If you are unwilling to account for such a possibility, then you are simply beneath me sir.

You're unwilling to make an actual claim, instead backing off to vague indefinite arguments every time you're pressed. You argue that at some point, it's impossible to achieve a specific desired sequence from randomness. We've asked for you to identify the threshold at which that would happen, and you refused to even speculate. We've pointed out that for your claims to be accurate, it would require a coin flip have a 100% chance of landing on one side. You won't agree with that.

You're saying "I know it must be so because I refuse to believe otherwise" and then claiming intellectual superiority because we don't believe the same. You're a religious fundamentalist in disguise. It's just that your god is your own understanding. Anything that challenges that simply MUST be wrong.

From your OP:
Eternum Praetorian wrote:
From what I know about computers and mathematics (limited as it may be) a random sequence of 1 and 0 spit out of a computer will never render a perfect rendered and functioning EVE Online as we see it today. I don’t think that you could even expect to see pong.

Technically, you're right. The computer power does not exist today to generate enough random bits to generate a working program in our lifetimes unless we got really, really lucky. This page indicates that the smallest possible executable program, which simply exits itself, is 276 bytes. That's 2,208 bits. The number of possible combinations of 2,208 random bits is 4.7 * 10 ^664. Even the *actual* code is seven bytes, which results in 7,205,759,403,792,793 possible combinations, meaning that you could expect to see the pattern once in a sequence of 40,352,252,661,239,640,000,000,000,000,000. It's highly unlikely that we could hope to generate even a very simple pattern in a reasonable amount of time.

However, that doesn't change that fact that you are claiming that it's impossible for randomness to generate a pattern simply because that pattern looks nonrandom to a certain observer. You're saying that 01100011 is possible because it's meaningless, but 01010101 is impossible because you've ascribed some special significance to it.

It all comes back to this: unless you believe that there is some force in the universe that will actively prevent specific sequences of random events from occurring--which would mean they weren't truly random to begin with--then ANY combination is possible. The trouble is that there are so many possible combinations that you're more likely to win the lottery every week for a year than you are to achieve results on the scale we're talking about.

Founding member of the Belligerent Undesirables movement.

Rajan Marelona
Hedion University
Amarr Empire
#266 - 2012-08-03 12:26:02 UTC  |  Edited by: Rajan Marelona
Eternum Praetorian wrote:
blah blah blah blah

You say you can always get one more head but that at a some point you can not get no extra head but then you can get the extra head somehow.
You say something is possible and then you say same thing it will never happen.
You contradict yourself many times.
You sound like a moron.
Eternum Praetorian
Doomheim
#267 - 2012-08-04 19:30:05 UTC  |  Edited by: Eternum Praetorian
To put in the most absolute laymen terms for those of you who think that monkeys can accidentally explode their way to hamlet (lol)



Given infinity, you will get every single possibility ONLY if the patterns are not allowed to repeat. Why? Because if they DO repeat then the very growth of the sequence creates more potential patterns.

(Or)

Infinite repeatable patterns.





It is the most elementary thing in the world and it is sad that all you collage grade fry cooks have no conception of this ever so basic idea. If a gambler sees a 13 head streak in a row, and then he bets on tails... how often do you think he will lose? If he misses the 14th flip well, it is a damn fine bet that the very next one will be tails. That is reality. The gamblers "fallacy" works just fine when the numbers get larger.




Truly yours,
Thinking on a level that is far beyond you (TM) Lol


Quote:

However, that doesn't change that fact that you are claiming that it's impossible for randomness to generate a pattern simply because that pattern looks nonrandom to a certain observer


I am sorry that you have so much trouble understanding what I type, I really do. Sad But I never said that it was physically impossible, I said that it won't happen in reality because that is not the nature of true randomness. Those two things are worlds apart my simple and bias friend.

[center]The EVE Gateway Blog[/center] [center]One Of EVE Online's Ultimate Resources[/center]

Akita T
Caldari Navy Volunteer Task Force
#268 - 2012-08-05 04:49:00 UTC  |  Edited by: Akita T
There's no such thing as infinite patterns when you're talking specific amounts of coin tosses (or number of letters in a text), the number of possibilities is not just quite finite, but also known with absolute certainty, and it only depends on number of coin tosses (or necessary letters).
For 35 coin tosses, there are 2^35 possible ways those 35 coin tosses could come back.
That's 34,359,738,368 possibilities.
Yes, the number is quite damn large, but it's certainly not infinite.
There's also ABSOLUTELY NO REASON WHATSOEVER that any particular string of all those 2^35 ways that 35 coin tosses can happen should ever be more or less likely to happen, each of those possible combinations has exactly the same chance of happening.
In order to bring that down to a more manageable level so that you can actually follow the reasoning for a second, let's not go with 35 tosses just for right now, let's just go with 3 tosses. There are 2^3=8 possible combinations of 3 tosses, and each of those combinations has an equal chance of 2^-3=1/8 of happening.
So bringing this back to the previous level of 35 tosses, guess what that chance is for any of those possible combinations is to actually happen ? Hold on yo your pants if this gets complicated for you to follow, it is exactly 1/34,359,738,368, or 2^-35 if you prefer.

...

If a gambler sees a 13 head streak in a row, and then he bets on tails ?
He will lose roughly 50% of the time he makes that exact specific bet if the coin was reasonably fair, because that's how random fair coin tosses work each and every damn freaking time, without a memory of what happened before.
And that's the very definition of the gambler's fallacy. You know, fallacy, as in, an error in reasoning.
There is absolutely nothing that changes the chance of a coin toss, there is no coin karma of the universe waiting to be paid back.

...

BUT let's say for the sake of argument that the probability does indeed go down a bit for some reason with each subsequent heads in a row flipped.
Again, only for the sake of argument, a huge concession in your favour. This does not actually happen in reality. But let's say that it does happen in the reality you think you live in.

We have flipped so far X heads, X being an arbitrary number you accept as possible.
If the chance for the (X+1)th toss is NOT PRECISELY 0%, then there is a possibility to throw X+1 heads, therefore NOT IMPOSSIBLE to throw X+1 heads if given as much time as you want, and so on and so forth, up to whatever amount you like.

At some point, in order for it to be IMPOSSIBLE to get Y heads in a row if given all the time you want, throw number Y needs to have EXACTLY 0% chance of coming up "heads".
Why is the chance of the Yth toss precisely 0% now all of a sudden ?
Where exactly does this cosmic coin karma magically come from, and how come it's all so powerful ?

Eternum Praetorian wrote:
But I never said that it was physically impossible, I said that it won't happen in reality because that is not the nature of true randomness. Those two things are worlds apart my simple and bias friend.

You specifically said "IT WILL NEVER HAPPEN", not that "it's very unlikely to ever happen".
Which is the same as saying it is physically impossible. Not physically IMPROBABLE, but physically impossible.
If you would have said "it's very unlikely to happen at all in the next 10 billion years", you could very well be completely and utterly correct.
But that's not what you said.
If it's simply a misunderstanding due to you abusing certain terms, using a different definition from the one accepted by the rest of the world, then this would be a good time to say so.

It has been repeatedly been brought to your attention that there might not be enough time left in the entire universe for a sufficiently large set of random throws to be made in order to get a certain streak length, but you never once said "you are limited to a maximum of X throws", you keep repeating "infinity" or "as much time as you like".
Nobody is disputing the fact that if you put a precise upper maximum cap on number of tries you are allowed, the chance of a particular length of streak of heads might actually be too small to realistically happen.
But you specifically deny that such a cap by your phrasing.
You could even say "consider you have 100 billion years and 10 billion people making 1 throw per second for 8 hours a day", and that would mean roughly 0.105*(10^29) throws maximum if you wanted.
But no, you are not satisfied with even something that's probably longer and larger than the expected future of humanity, you just have to say "as many times as you want" or "infinite number of tries".

Say "I'll let you make 10^1000 throws, but it's almost impossible to get 10000 heads in a row like that", AND YOU WOULD BE FREAKING CORRECT, even if that number of throws might just be more than could be possible to even simulate before humanity or even the entire universe is likely to cease existing.
But say "considering as many throws as you want, there is absolutely no chance to get 10000 heads in a row" and you are completely and utterly WRONG.
See the difference in phrasing ? That's the difference between absolutely correct and absolutely bonkers.
Akita T
Caldari Navy Volunteer Task Force
#269 - 2012-08-05 05:46:42 UTC  |  Edited by: Akita T
Let's just rename the thread into...

Eternum Praetorian learns the proper definitions and correct uses of the words "impossible", "improbable", "likely", "large", "infinity" and syntagms like "as much as you want", "almost surely", "almost never", "scientific theory" and "scientific hypothesis".

... because this is actually what we're arguing about, it seems P

...

As in, the difference between

"We can never get Hamlet by throwing a mountain of scrabble letters in the air" (wrong)

"The chance to get Hamlet by throwing a mountain of scrabble letters in the air is close enough to zero to consider it zero for practical intents and purposes" (CORRECT)

or the difference between

"No matter how many times we throw a mountain of scrabble letters in the air we will never get Hamlet" (wrong)

"Even if we throw a mountain of scrabble letters in the air on some planet every millisecond for the next trillion of trillions of years the chance of getting something remotely similar to Hamlet (let alone Hamlet itself as written) at least once is still close enough to zero as to be negligible" (CORRECT)
Lugia3
Federal Navy Academy
Gallente Federation
#270 - 2012-08-15 16:12:46 UTC
If you had an infinite amount of monkeys typing random things, you would instantly get an infinite amount of every code/story/essay possible.

Logic is great.

"CCP Dolan is full of shit." - CCP Bettik

Akita T
Caldari Navy Volunteer Task Force
#271 - 2012-08-15 16:38:48 UTC
A Soporific
Perkone
Caldari State
#272 - 2012-08-15 16:44:24 UTC
Evolution is actually only like a third random. While each change is random, survivability and sexual selection change the odds of those random changes being passed on. If a random mutation hurts the overall whole then the whole organism is more lekly to fail the survivability test or is likely passed over at the sexual selection step. If the change is positive then the opposite is true. Those changes that don't effect either of those things are moot until they interact with something else that makes a positive or negative change.
Akita T
Caldari Navy Volunteer Task Force
#273 - 2012-08-15 16:49:27 UTC  |  Edited by: Akita T
A Soporific wrote:
Evolution is actually only like a third random.

More like 5% (or even much less) random since the vast majority of mutations are deleterious (and most of the rest are somewhat close to neutral), but you got the basic idea right.
Kenneth O'Hara
Sebiestor Tribe
#274 - 2012-11-06 06:19:35 UTC  |  Edited by: Kenneth O'Hara
Thread Necromancy!!! Hazzah!!!

Bring Saede Riordan back!! Never Forget! _"__Operation Godzilla Smacks Zeus"  ~__Graygor _

Saint Valio
Doomheim
#275 - 2012-11-06 06:49:48 UTC
If you had infinite number of monkeys they would write the eve-code instantly, not eventually.

How many monkeys would that need then? Infinite.
Webvan
All Kill No Skill
#276 - 2012-11-06 11:40:25 UTC  |  Edited by: Webvan
Saint Valio wrote:
If you had infinite number of monkeys they would write the eve-code instantly, not eventually.

How many monkeys would that need then? Infinite.

Yet the universe is finite, it can't support the mass of infinite monkeys nor does it have time to..
I mean, if you could actually convert even the existing mass of the universe into monkeys, typewriters and bananas, it would certainly all collapse and form a black hole, sucked into a singularity where time is nullified. The more monkeys you add, the greater the mass, the more intense the black hole.

But really, in any formula, you must include time. I mean CCP doesn't have eternity to wait for a bunch of monkeys to fix everything even just broken in EVE today. It's true for the structure of the universe as well, as it's not infinite but finite. So to calculate anything, you must include a very narrow window of opportunity which really screws with the numbers and their possibilities. I only add this as I'm one fascinated with the concepts and mechanics of "time".

Anyway, I've seen more epic bumps than this, 0/10. Singular conversation is too long, so makes it less relevant as a good bump. Threads with directional/multi-directional conversations you can pick up at any point are more interesting.

I'm in it for the money

Ctrl+Alt+Shift+F12

Borascus
#277 - 2012-11-06 13:46:20 UTC
The phrase used to represent Chaos Theory is intended to illustrate to a lay person (unskilled in its laws/unspecialised) what Chaos Theory allows.

Practicality means that the infinite monkeys would have to be trapped in 1 Planck second, its the same as the butterfly flapping its wings in China, winds in Chicago debate.

Metaphysical reference to discussion topics.

If you hit someone hard enough in the face, you can dislocate your middle finger palm knuckle, driving it back into your hand. Years later you can then use the displaced middle knuckle as a bar sequence with the two adjacent knuckles, producing enough noise to constitute "A Clap". No one would really care, but the fact would remain that "humans can't clap with one hand"

If you placed one of each possible number (conceivable not physical representation), somewhere in a theoretical sandbox; the temperature of your pc, the cpu it uses, the temperature along the length of the power cord, the level of electrical output running in the mains that the pc is attached too as well as the geometry of the components used in their individual locations would all decide the selection even if Rand was "completely random" which in computing it can't be. From that you get a singular result, probative measures cannot make a completely random event.




Kenneth O'Hara
Sebiestor Tribe
#278 - 2012-11-06 16:51:09 UTC
Theoretically, it is probable. On a more realistic level, Impossible. You are taking something that has no ultimate goal or focus and giving it a goal and focus. It's kinda like your skill queue. How long do you think it would take to get to pilot a titan with everything else to have it function and such if you were randomly training all skills at different times. Yes, you'd eventually run out of skills to train and have to train titan skills. In the real world and with computing, it would never happen with something as grand a scale as your giving if that is the ultimate goal you are setting upon such task. Now if you set it up to randomly go with no goal set in mind and jsut record what it creates then you might get something comparable to EVE but not exactly. And not all at the same time. It would be chopped up and you'd have to filter through all the junk to get that code.

Bring Saede Riordan back!! Never Forget! _"__Operation Godzilla Smacks Zeus"  ~__Graygor _

Tarvos Telesto
Blood Fanatics
#279 - 2012-11-07 18:36:50 UTC  |  Edited by: Tarvos Telesto
Imagine a milions single parts of boing 747 inside big container, after some period of time and infinite shaking containers all parts become a plane, like form puzle to final product without workers interfere ;) this theory is wired and make no sense, its impossible to create somthing like machine or game code like EvE without inteligence and logic, well existed monkey need to evole to create EvE code in future Lol maybe after bilions years... who know...

EvE isn't game, its style of living.

Borascus
#280 - 2012-11-07 21:26:26 UTC
Coupled with the fact that monkeys lack the mental dexterity to alternate key strokes in a manner that would tie some of the words together, like othello or midsummer.... but i digress...