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  4. Must ∞ monkeys on ∞ typewriters really write everything given ∞ time?
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Must ∞ monkeys on ∞ typewriters really write everything given ∞ time?

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Online evan_au

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Re: Must ∞ monkeys on ∞ typewriters really write everything given ∞ time?
« Reply #20 on: 03/06/2018 00:14:01 »
Quote from: yor_on
if its a infinity then its an infinity, right?
I'm afraid not. There are infinities, and then there are bigger infinities.

In general, 2∞ > ∞

See: https://en.wikipedia.org/wiki/Aleph_number
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Offline yor_on

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Re: Must ∞ monkeys on ∞ typewriters really write everything given ∞ time?
« Reply #21 on: 07/06/2018 00:00:03 »
Well yes. but if I take the smaller 'infinity' and put it into the 'bigger'
It should still fit, right? :)

Because if not, you just invalidated the logic
Actually I'm somewhat inebriated and bored.
It should have been the opposite

Never mind nor time
I'm still waiting for you
« Last Edit: 07/06/2018 00:04:29 by yor_on »
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Offline syhprum

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Re: Must ∞ monkeys on ∞ typewriters really write everything given ∞ time?
« Reply #22 on: 24/09/2018 17:55:20 »
When I was at school I annoyed my maths teacher by insisting that the product of infinity and zero was one by cancelling the zeros in the expression 1/0 = infinity times 0/1= zero  =1/1.
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Offline syhprum

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Re: Must ∞ monkeys on ∞ typewriters really write everything given ∞ time?
« Reply #23 on: 24/09/2018 17:58:29 »
"And the beauty of it all is that the only thing a computer knows is binary logic" one of the famous early computers ENIAC was decimal.
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Offline Bill S

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Re: Must ∞ monkeys on ∞ typewriters really write everything given ∞ time?
« Reply #24 on: 19/07/2019 17:09:53 »
As usual, I’m not keeping up with threads/discussions, nor having time to catch up.  However, in the course of “weeding out” old stuff on my HD, I’ve found several things I had filed for “attention later”.   A link to this thread is one of them.

Chiral; as OP, did you get what you were looking for from the thread?  I enjoyed it, but have several points to clarify;  (one at a time, perhaps).

Quote from: Chiral
There is a commonly presented notion that infinite sets must contain everything.

Mathematically, this is not possible; because there is more than one infinity, so, unless every infinity contains every other infinity, no infinity contains everything. (?) 

If every infinity contained every other infinity, I think that would mean that there was only one infinity, even in maths.  That doesn’t make much sense to me.
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Re: Must ∞ monkeys on ∞ typewriters really write everything given ∞ time?
« Reply #25 on: 17/08/2019 13:09:07 »
You always need a reality double check.   Monkeys live, and monkeys die, as does everything.  There can never be an infinity of monkeys, nor anything else, at any given moment in time.  You can have an infinitely rising number of monkeys over time, but infinity is not within reach for the monkeys.   They have neither the time,  nor the quantity to accomplish such a task.    Not even human beings could accomplish such ridiculous task. 

It’s a meaningless fantasy formula. 

The other argument is, random is driven by complexity.  There is no random events, just highly complex events that appear random.   Things happen for a reason.  Monkeys have no reason to type, therefore, it is impossible. 
« Last Edit: 17/08/2019 13:14:08 by andreasva »
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Re: Must ∞ monkeys on ∞ typewriters really write everything given ∞ time?
« Reply #26 on: 17/08/2019 13:19:41 »
Quote from: Bill S on 19/07/2019 17:09:53
Mathematically, this is not possible; because there is more than one infinity, so, unless every infinity contains every other infinity, no infinity contains everything. (?) 

There is no such thing as infinite quantities.    Think about it. 
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Re: Must ∞ monkeys on ∞ typewriters really write everything given ∞ time?
« Reply #27 on: 19/03/2020 14:54:26 »
That seems to be the case
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Re: Must ∞ monkeys on ∞ typewriters really write everything given ∞ time?
« Reply #28 on: 28/03/2020 11:42:26 »
Well, a dice have no memory, right?
But I think monkeys do
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