Hello Joshua.
Your thread title contains perhaps two words that seem difficult to understand.
Here is what you wrote.
The infinite monkey theorem states that a monkey hitting keys at random on a typewriter
keyboard for an infinite amount of time will almost surely type a given text, such as the complete
works of William Shakespeare.
Firstly, the meaning of the word 'random' used above, a random event would be an event. That
displays no inherent, discernable, order or pattern.
Has there ever been an instance of a random event occurring in time and space?
Let's assume that a random event did occur in time and space, how would we ever test or
even know of this occurrence? People use the word 'random' loosely, even science often
mishandles the word often. Mankind probably will never know whether any event, is a random
event or not. That would require absolute knowledge which we do not have.
Since in time and space, all events are influnced by previous events. There does seem to be a form
of determinism occurring within our universe. Logically, if there was a first cause outside of space
and time, then that first cause itself should be well beyond the empirical, human understanding.
Secondly, the meaning of 'infinite', limitless or endless in time and space, or beyond time and space.
Impossible to measure or calculate.
Not sure if you noticed that 'infinite' is impossible to measure. If the 'infinite' cannot be measured,
then the concept of the 'infinite' is well beyond an empirical, human understanding.
Joshua, how about we rewrite your 'infinite monkey theorem'.
"The finite monkey theorem states that a monkey hitting the keys,
approaching a random sequence.
On a keyboard for a time duration,
approaching but never reaching, an infinite duration of time.
Will type a given text, such as the complete works of William Shakespeare."
If the monkey did type the complete works of William Shakespeare, in some time duration approaching
an infinite time, then the debate would really heat up. If the monkey typed Macbeth for example, would
that actually mean anything in the end?