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If Infinite Monkey Were Typing On A Computer…

Author
Eternum Praetorian
Doomheim
#241 - 2012-08-03 01:25:19 UTC
Akita T wrote:
Because the universe conspiring against a certain coin toss making it have a 0% probability to flip heads and 100% probability to flip tails is so much more believable.



I never said anything of the sort... unlike... well... the thing with the exploding monkeys Big smile



I don't think you fully understood what you read in my lengthy post, else you would not have typed the above. What I wrote was not even in the same vicinity. Did you just randomly generate that response or something? Because it looks like you did.

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FloppieTheBanjoClown
Arcana Imperii Ltd.
#242 - 2012-08-03 01:26:33 UTC
Akita T wrote:
Because the universe conspiring against a certain coin toss making it have EXACTLY a 0% probability to flip heads and EXACTLY 100% probability to flip tails is so much more believable.

Exactly.

To state that it is impossible to achieve any number of consecutive heads is to state that at some point, the odds of the coin flip become something other than 50/50.

He doesn't understand that, and refuses all attempts to demonstrate it.

Founding member of the Belligerent Undesirables movement.

Eternum Praetorian
Doomheim
#243 - 2012-08-03 01:29:18 UTC  |  Edited by: Eternum Praetorian
FloppieTheBanjoClown wrote:
Akita T wrote:
Because the universe conspiring against a certain coin toss making it have EXACTLY a 0% probability to flip heads and EXACTLY 100% probability to flip tails is so much more believable.

Exactly.

To state that it is impossible to achieve any number of consecutive heads is to state that at some point, the odds of the coin flip become something other than 50/50.

He doesn't understand that, and refuses all attempts to demonstrate it.


You didn't get it either. The forces acting on the coin were never 50:50, the shape of the coin converts them to a 50:50 output. There is a huge difference between these two ideas. Read better.... please RollUgh

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Akita T
Caldari Navy Volunteer Task Force
#244 - 2012-08-03 01:29:23 UTC  |  Edited by: Akita T
Eternum Praetorian wrote:
Akita T wrote:
Because the universe conspiring against a certain coin toss making it have a 0% probability to flip heads and 100% probability to flip tails is so much more believable.

I never said anything of the sort


Actually, you did.
Just a couple of posts earlier.
Here's the quote:

Eternum Praetorian wrote:
[...]it is less likely that you will flip another heads after you have flipped a number of them in a row. The external and time contingent forces acting on the coin are forever changing. So you are not just factoring in the pure random chance of the coin anymore you are now also taking into account the external and independent factors. So with each flip it becomes less and less likely that you will get another because of the external and time contingent forces that are forever changing.


As long as the chance to flip one more head is not 0%, it's still possible to flip it.
In order to make it IMPOSSIBLE to flip another head, the chance of flipping it should be 0%.
You claim that after a certain number of heads (which you refuse to specify) the universe MUST eventually reduce the chance of the next head to exactly 0%.

If you DON'T claim that, then you accept the possibility of flipping one extra head no matter how many heads you flipped before.
And if you do it enough times, you can flip any number of heads you are looking for.
Which you say is impossible. Not unlikely, impossible. As in, actually 0% chance, not very small. Which can only happen if the chance of at least one toss is exactly 0%. Which you seem to think you didn't claim.
FloppieTheBanjoClown
Arcana Imperii Ltd.
#245 - 2012-08-03 01:34:10 UTC
Let me put it this way:

1) Can we agree that EVERY coin toss has a 50% chance of landing on heads?

2) Can we also agree that if I can get a certain number of consecutive heads once, then I can repeat that result given enough time?

If you said yes to both, then it follows that if I can repeatedly yield 20 consecutive heads, the odds are on my side with a 50% chance of the next toss making it 21.

If I can get 21, then it follows that I can get 22. Then 23. Then 24. Then 25. This demonstrated pattern will continue on indefinitely, with the time required to get to the next step increasing exponentially. The ONLY way it ever breaks is if the odds of the coin flip change.

Founding member of the Belligerent Undesirables movement.

Eternum Praetorian
Doomheim
#246 - 2012-08-03 01:34:44 UTC
Yea but that does not mean it drops to 0 by any means. You don't seem to understand the idea of a multitude of forces acting upon the coin and how the very shape of the coin acts like a machine designed to convert them to a 50:50 output. You have to try and NOT think like a calculator and more like a human being.

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Akita T
Caldari Navy Volunteer Task Force
#247 - 2012-08-03 01:35:27 UTC
FloppieTheBanjoClown wrote:
1) Can we agree that EVERY coin toss has a 50% chance of landing on heads?

He pretty much flat out stated that he doesn't believe that, but that each extra head reduces the chance of following heads.
LolLolLol
Akita T
Caldari Navy Volunteer Task Force
#248 - 2012-08-03 01:36:39 UTC
Eternum Praetorian wrote:
Yea but that does not mean it drops to 0 by any means.

It does.
As long as something is not exactly 0% possible, it's still possible, so with enough time, it can happen.
You say it CAN'T happen, so in order for that to be true, at least one toss needs to have exactly 0% chance.
FloppieTheBanjoClown
Arcana Imperii Ltd.
#249 - 2012-08-03 01:36:54 UTC
Eternum Praetorian wrote:
You didn't get it either. The forces acting on the coin were never 50:50, the shape of the coin converts them to a 50:50 output. There is a huge difference between these two ideas. Read better.... please RollUgh


Now you're just floundering about trying to find some way to worm your way out of this.

If 20 consecutive heads is possible, then 1,000,000 is possible. UNLESS you can demonstrate a point at which it becomes impossible to flip heads again. So it's on you to PROVE where that event occurs.

Give us the magic impossible number, or give up.

Founding member of the Belligerent Undesirables movement.

FloppieTheBanjoClown
Arcana Imperii Ltd.
#250 - 2012-08-03 01:42:28 UTC
Eternum Praetorian wrote:
You don't seem to understand the idea of a multitude of forces acting upon the coin and how the very shape of the coin acts like a machine designed to convert them to a 50:50 output.

You don't seem to understand that what you're saying is completely unscientific and unfounded.

Eternum Praetorian wrote:
You have to try and NOT think like a calculator and more like a human being.


That sounds an awful lot like "don't confuse me with the facts". When discussing probability, calculators are necessary and emotions are useless.

Founding member of the Belligerent Undesirables movement.

Eternum Praetorian
Doomheim
#251 - 2012-08-03 01:44:17 UTC  |  Edited by: Eternum Praetorian
It only appears that I am foundering because you are not grasping what I am saying. You are so stuck looking at the averages that you are not paying attention to the many minute variables.



1. A coin is acted upon by a sphere of forces
2. Those forces are forever changing and presumably never repeat
3. Those forces are time contingent
4. Those forces can also be influenced by the very impact of the coin itself



A sphere of interaction… translated into an output that you see as two sides. The value does not have to drop to 0 probability because the forces acting on the coin are spherical in nature. In order for that coin to turn up heads 1,000 times a bizarre and unnatural alignment of EXTERNAL VARIABLES would have to interact with the coin in order to generate that result. The output of a coin can be viewed as an extremely vague recording of the world around it.


The universe is more chaotic and evenly distributed then that. The values should not translate to 1,000 or 1,000,000 heads or tails in a row because that is not the nature of the universe. It has nothing to do with the coin at all. But on the smaller scale it may appear that this is so because the external factors are time contingent.

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FloppieTheBanjoClown
Arcana Imperii Ltd.
#252 - 2012-08-03 01:47:04 UTC
Eternum Praetorian wrote:
It only appears that I am foundering because you are not grasping what I am saying. You are so stuck looking at the averages that you are not paying attention to the many minute variables.



1. A Coin is acted upon by a sphere of forces
2. Those forces are forever changing and presumably never repeat
3. Those forces are time contingent
4. Those forces can also be influenced by the very impact of the coin itself



A sphere of interaction… translated into an output that you see as two sides. The value does not have to drop to 0 probability because the forces acting on the coin are spherical in nature. In order for that coin to turn up heads 1,000 times a bizarre and unnatural alignment of EXTERNAL VARIABLES would have to interact with the coin in order to generate that result.

The universe is more chaotic and evenly distributed then that. The values should not translate to 1,000 or 1,000,000 heads or tails in a row because that is not the nature of the universe. But on the smaller scale it may appear that this is so because the external factors are time contingent.


Because you refuse to address it, I'll just quote myself:

If 20 consecutive heads is possible, then 1,000,000 is possible. UNLESS you can demonstrate a point at which it becomes impossible to flip heads again. So it's on you to PROVE where that event occurs.

Give us the magic impossible number, or give up.

Founding member of the Belligerent Undesirables movement.

Eternum Praetorian
Doomheim
#253 - 2012-08-03 01:50:51 UTC  |  Edited by: Eternum Praetorian
At this moment I have no more proof of that exact boundary then you have proof that you can roll 1 billion heads in a row. But I suggest that you are looking at it from the wrong perspective entirely and opening your mind might yield unexpected rewards.



But that being said, I have never seen any random output that generated 100 consecutive anything. Ever. Have you? I find that very interesting.

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Akita T
Caldari Navy Volunteer Task Force
#254 - 2012-08-03 02:02:07 UTC  |  Edited by: Akita T
For something to be IMPOSSIBLE (as opposed to unlikely), at least one of the events in the string NEEDS to be impossible (as opposed to unlikely).

You claim throwing N "heads" in a row is IMPOSSIBLE (as opposed to unlikely) when N is arbitrarily large. I don't really care how large that N is supposed to be, as long as you accept that N-1 heads in a row are possible.

In order for that to happen, for the Nth coin toss it should be IMPOSSIBLE to get "heads".

Why should it ever be IMPOSSIBLE to throw a heads on any given REASONABLY fair coin ?
Akita T
Caldari Navy Volunteer Task Force
#255 - 2012-08-03 02:10:27 UTC
Eternum Praetorian wrote:
But that being said, I have never seen any random output that generated 100 consecutive anything. Ever. Have you? I find that very interesting.

I don't find it even remotely interesting. And it was thoroughly explained why that is not interesting. Hint : there's not enough storage space on this planet to represent the length of the tries needed for that to have a good chance of happening.
Eternum Praetorian
Doomheim
#256 - 2012-08-03 02:13:03 UTC
Akita T wrote:
Eternum Praetorian wrote:
But that being said, I have never seen any random output that generated 100 consecutive anything. Ever. Have you? I find that very interesting.

I don't find it even remotely interesting. And it was thoroughly explained why that is not interesting. Hint : there's not enough storage space on this planet to represent the length of the tries needed for that to have a good chance of happening.


You may fail at programing is all. As stated the total output does not have to be recorded.

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Akita T
Caldari Navy Volunteer Task Force
#257 - 2012-08-03 02:17:54 UTC  |  Edited by: Akita T
Eternum Praetorian wrote:
Akita T wrote:
Eternum Praetorian wrote:
But that being said, I have never seen any random output that generated 100 consecutive anything. Ever. Have you? I find that very interesting.

I don't find it even remotely interesting. And it was thoroughly explained why that is not interesting. Hint : there's not enough storage space on this planet to represent the length of the tries needed for that to have a good chance of happening.

You may fail at programing is all. As stated the total output does not have to be recorded.

There's not even remotely enough CPU cycles in the entire world to pull that off if all computing power of the planet would be dedicated to simulating that before you would die of old age either, even accounting for likely developments in computer and medical science.

...


And again, I throw N heads, whichever N you accept as possible. So far you have accepted N=14 as being possible.
Is the chance of the (N+1)th toss different from APPROXIMATELY 50% ? If yes, why ?
ASSUMING that the chance does not wildly change from approximately 50%, any arbitrary number of consecutive heads is POSSIBLE, therefore NOT IMPOSSIBLE.

...

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.
But 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, 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, 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 ?
FloppieTheBanjoClown
Arcana Imperii Ltd.
#258 - 2012-08-03 02:22:04 UTC
Eternum Praetorian wrote:
At this moment I have no more proof of that exact boundary then you have proof that you can roll 1 billion heads in a row. But I suggest that you are looking at it from the wrong perspective entirely and opening your mind might yield unexpected rewards.

I have sufficient evidence to assume that a billion heads WILL happen if I had the time to attempt it. This goes back to my question of N+1: If I can get two heads, why can't I get three? Why not four? Why not 20? 21? 22? 50? 100? 101? 1,000,000? I find no reason to expect a change in the pattern...once again, UNLESS it will at some point become impossible to flip heads. I've seen zero evidence of such an event therefore all combinations are possible, including a billion billion consecutive heads.

Eternum Praetorian wrote:
But that being said, I have never seen any random output that generated 100 consecutive anything. Ever. Have you? I find that very interesting.


The coin flip is the most basic expression of randomness we have. Nothing is simpler than a 50/50 result. There are a thousand billion billion billion possible combinations of 100 coin tosses. Only TWO of those will yield the result you're talking about. Now do you understand why you've never seen any such thing? When random factors align to produce results that rare, we call it a miracle. If you lined up every coin toss in the history of humanity, the odds of having a run of 100 are still infinitesimal. And most random events are far more complex than that.

But we're not talking about human history. Or even the history or size of the universe. We're talking about infinity. That's what you don't seem to get: no matter how small the odds of a particular pattern appearing at random, those odds increase with time.

You're unable to even name the point at which it becomes impossible to land one more head, but you insist it exists. You can't cite any rational explanation for the impossibility, but you doggedly hold on to the conviction that it's impossible. Every argument you present is emotional and laden with logic fallacies. In short, you've got nothing to support your argument except "I just know it". Logic and math conflict with your position.

Founding member of the Belligerent Undesirables movement.

FloppieTheBanjoClown
Arcana Imperii Ltd.
#259 - 2012-08-03 02:26:55 UTC
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.

Founding member of the Belligerent Undesirables movement.

Akita T
Caldari Navy Volunteer Task Force
#260 - 2012-08-03 02:34:42 UTC  |  Edited by: Akita T
It really comes down to the trivial issue of something only being actually impossible if at least one event in the string is actually impossible, so it means he's saying a particular coin toss (after X heads, where X is some magic maximum possible number) will always turn up tails instead of heads.
He refuses to say what that magical value of X is, and why that coin has a 0% chance of turning heads on toss X+1.

Or, alternatively, if you prefer, he's claiming that something can be possible AND literally impossible (as opposed to figuratively impossible, as in highly unlikely) at the same time.
Eternum Praetorian wrote:
Akita T wrote:
if something is POSSIBLE it obviously can't be impossible. Yet somehow you claim that something which you have admitted IS possible will NEVER happen.

Seems counter intuitive I know, but yes that is what I am saying.

Hilarious.