1000 monkeys at 1000 computers typing randomly for infinite time...

No. You are reasoning about infinity incorrectly.

No, I'm not. If they are typing infinitely then eventually every possible combination of characters will be used.

...obviously we're taking a lot of liberties here. Monkeys don't live that long, the machinery will eventually break down, eventually the Sun will become a red giant and engulf the Earth...but theoretically if a random letter generator continued for infinity it would happen
 
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What is the point of all this anyway, im sure theres more interesting things to talk about yes?

I guess where this is going is that it's a metaphor for the existence of the universe and the chance that it happened randomly or it was divinely inspired.

Agnostics and Atheists often argue that our entire universe is just a random collection of circumstances. Theists argue there is no way it all happened by chance.

But I REALLY don't want to get in a religious or political debate here. There's plenty of that on other forums. Let's not taint this one
 
thats a bad example and you know it.
I know nothing of the sort. It is a perfectly valid example. You are simply displeased because you don't like the conclusion. You said that just because one event is possible, another one is. Sorry, but it doesn't work that way. I am sorry that the Norwegian school system has failed you so poorly.

I guess im gonna need an illustration for you to understand, lets go with "Hi there" you can calculate that? how about this "Hi there, who are you? I thought i met you last night" possible, right? see where im getting? Longer and longer sentances, im sorry i cant be bothered with typing inn hamlet here and taking the time to progress from "Hi there" to hamlet.
This is no better than your first effort. See above for why it is incorrect.

the problem is ofcource that random typing monkies could turn off the computer, like i said, delete the entire thing, etc. Which would set them back, but turning off the computer would kill the thing, as they cant turn it on from the keyboard.

I know it would never happen, because you cant give monkies infinete time, because of lifespan etc.

Don't fight the hypothetical.
 
I sent an email to my brother-in-law. He's a statistics professor at Indiana University. I'm willing to live by his ruling whatever it may be...
 
I sent an email to my brother-in-law. He's a statistics professor at Indiana University. I'm willing to live by his ruling whatever it may be...

How does expertise in statistics qualify him as an expert in large number theory? This makes me think of when creationists trot out mathematicians as scientists who reject evolution.
 
The fact of the matter is if you research this almost every resource will tell you it is true in theory while obviously you couldn't actually set it up in reality.

His expertise isn't in pure mathematics, but given his mathematical mind he would certainly have insight into this more than the average person. What are your credentials? If it's not his field I'll have him ask the appropriate person in the math department, fair enough?

..and yes it's from Wikipedia, but check out the direct proof



Furthermore, this really isn't important enough to me to continue arguing about. Let's just both smugly feel that we're right.
 
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Here's his answer for what it's worth...

"If things are entered randomly there is a nonzero chance that typing X
could happen...with random number the probability is not zero that the
next letter will be correct. The total probability would then be the
probability of a particular character multiplied by the next
character, etc, for the total number of letters.

Think about this:

Suppose a keyboard consists of only the 26 letters and you want to
know the probability of randomly typing, say, Hamlet.

The "H" would be hit first with a probability of 1/26, the "a" 1/26 -
but, the a must come after the H and it is independent of H. So, for
the first two letters ( i.e., HA) the probability is
1/26*1/26=0.001479289, already very unlikely - possible yes. Now for
the other letters in order the probability becomes very small very
fast. Never is it zero, but it is damn close to zero very quickly! So,
yes, technically it is correct but very very unlikely. The idea,
however, is that if you continue to do a process an infinite number of
times and the probability is nonzero, eventually it will happen.

I hope this helps!

Take care,"



So he agrees that while on any particular occasion it is extremely, extremely unlikely, If you get an infinite number of chances it will eventually happen (it may billions upon billion upon billions of years to happen, but theoretically it will.

OK, I'll shut up now LOL
 
we have had another poster discuss that already like 5 pages back. and we talked about it. got it out of the way.
even given infinite time, it does not HAVE to happen, let alone with only 1000 monkeys. lei explained it a while back there.

as you said: "If things are entered randomly there is a nonzero chance that typing X could happen"
so using that, it is possible for one of the monkeys to type "a" repeatedly forever given it is random. it is also possible for another one of the 1000 monkeys to type "b" forever. and so on. therefore, nothing HAS to occur. even with infinite time. let alone writing a multi thousand character play absolutely perfect...
 
I've said it before and I'll say it again. Just because their is a chance(regardless of size) of something happening. Does not mean that something will happen. It's perfectly reasonable to assume the monkeys would continue to type forever and never type it correctly. Mainly because there are many variables left unanswered.

THERE IS NO SUCH THING AS A PERFECT RANDOM GENERATOR. More then likely the monkeys will continue to type a certain repeating sequence of letters and so on. Much like a repeating decimal in math.

We must remembers the monkeys ability to remember. I am not sure how many characters they are able to hold in memory at one time. But lets assume its 5. Its VERY likely they would simply type the same 5 letters in a certain order in a certain sequence for all eternity.

For the monkeys to write it correctly. It would REQUIRE a CONSTANT state of awareness. Of what the monkey just hit and a CHOICE to hit a different character each time (unless when needed)...

I hope I made that understandable...
 
lol yea but i think the monkeys at the computers are suposed to represent random keystrokes. its just a way for (dumb)people to understand the situation easier and apparently for other (smart)people to bring this factor into question.
 
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I've said it before and I'll say it again. Just because their is a chance(regardless of size) of something happening. Does not mean that something will happen. It's perfectly reasonable to assume the monkeys would continue to type forever and never type it correctly. Mainly because there are many variables left unanswered.

THERE IS NO SUCH THING AS A PERFECT RANDOM GENERATOR. More then likely the monkeys will continue to type a certain repeating sequence of letters and so on. Much like a repeating decimal in math.

We must remembers the monkeys ability to remember. I am not sure how many characters they are able to hold in memory at one time. But lets assume its 5. Its VERY likely they would simply type the same 5 letters in a certain order in a certain sequence for all eternity.

For the monkeys to write it correctly. It would REQUIRE a CONSTANT state of awareness. Of what the monkey just hit and a CHOICE to hit a different character each time (unless when needed)...

I hope I made that understandable...

i agree, it doesnt mean it will necessarily happen.
end of story.
 
I love it when one of my new fans decides to search the Internet to learn more about classy Tanizaki!

To be honest I think you have less class than a yeast infection but I am fascinated at how you seem to have been discussing similar topics on many forums since the birth of the internet without getting tired of it. How do you do it? Do you have a need to argue and be hated? I'm not trying to physco analyse you but it takes dediction to spend about 15 years repeatedly telling people to stop pasting links instead of using their own arguement
 
Using monkeys, it would not work.

We're talking theory here. People are getting bogged down in the behavior of monkeys etc. If there were a such thing as a true random character generator, over the course of infinity it would type every possible combination of characters. That includes Hamlet and every other text that ever existed, including this conversation.


we have had another poster discuss that already like 5 pages back. and we talked about it. got it out of the way.
even given infinite time, it does not HAVE to happen, let alone with only 1000 monkeys. lei explained it a while back there.

as you said: "If things are entered randomly there is a nonzero chance that typing X could happen"
so using that, it is possible for one of the monkeys to type "a" repeatedly forever given it is random. it is also possible for another one of the 1000 monkeys to type "b" forever. and so on. therefore, nothing HAS to occur. even with infinite time. let alone writing a multi thousand character play absolutely perfect...

I guess that's where the terminology "almost certainly" in the theorem comes from. I guess you have to allow for the possibility of a truly random character generator typing the same character for eternity or otherwise skirting the laws of probability and not typing this particular set of random characters....and you think typing "Hamlet" is a long shot? But almost certainly it would not only type the text, but type it an infinite number of times

...as far as a statistician not being an expert on this subject, here's my brother-in-law's response:

"It is more appropriately, in my opinion, the interaction between
probability and philosophy. Statistics and probability are very much
linked, but they do differ in scope and problems. It is certainly
related to statistics though. Statistics describes data and/or makes
inferences about the population given sample data."

Didn't I say I was done arguing about this? OK damn it, this time I mean it.:yelrotflmao:
 
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If there were a such thing as a true random character generator, over the course of infinity it would type every possible combination of characters. That includes Hamlet and every other text that ever existed, including this conversation.

you are wrong.
there is an infinite number of conversations that can be spoken and an infinite combination of letters that can be combined to create an infinite number of texts that could have been written in the past; which as far as we know could have been infinite years back in the infinity of the universe in which every being in the universe creating different works of text.
 
you are wrong.
there is an infinite number of conversations that can be spoken and an infinite combination of letters that can be combined to create an infinite number of texts that could have been written in the past; which as far as we know could have been infinite years back in the infinity of the universe in which every being in the universe creating different works of text.

How in the world does that make me wrong? My terminology may have been awkward saying "every possible combination" since there isn't a finite number, but it still doesn't prove your point.


So let's say beings have existed for infinity and there is an infinite number of conversations. What's your point? The generator is going on infinitely too. Just because it started later it would still continue forever. There is no such thing as one infinity being longer than another.

Hell with it, I'll keep going till everyone else gets tired of this:boxing_smiley:
 
Here's his answer for what it's worth...

The idea,
however, is that if you continue to do a process an infinite number of
times and the probability is nonzero, eventually it will happen.

I hope this helps!

Take care,"



So he agrees that while on any particular occasion it is extremely, extremely unlikely, If you get an infinite number of chances it will eventually happen (it may billions upon billion upon billions of years to happen, but theoretically it will.

OK, I'll shut up now LOL

I respectfully disagree. He has said that it will inecitably happen, and that is simply false. I don't know how better to say it. He should stick with examining z-scores.

I suppose the next thing he will say is that 0.99999 repeating to infinity is not the same as 1. (but it is)
 
...as far as a statistician not being an expert on this subject, here's my brother-in-law's response:

"It is more appropriately, in my opinion, the interaction between
probability and philosophy. Statistics and probability are very much
linked, but they do differ in scope and problems. It is certainly
related to statistics though. Statistics describes data and/or makes
inferences about the population given sample data."

In other words, he agreed with me.
 
There is no such thing as one infinity being longer than another.

Here is your problem. You keep misunderstanding infinity.
 
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