The problem is that you’re underestimating infinity then. If it only happens 1 in 1000000000000^10000 times but there’s an infinite number of attempts over an infinite amount of tine, it’s still bound to happen eventually.
No, I’m saying it’s not just improbable (if it were improbable, then yes, it would happen), I’m saying it’s impossible because of behavior.
As a small example, let’s say you wanted to type the ABC’s. However, every time you typed, your finger slid to press the key next to it as well. Then, no matter how many times you tried, you would never be able to type the ABC’s. That’s an exaggerated example of what I believe the monkeys would do. They simply would not be able to type letters at random. The way they work, they would be forced to mush buttons that do not allow for whole words.
If there was another scenario where there were about 30 boxes (one for each letter and any punctuation needed), and the monkey had to get a banana from one of the boxes, and that is what ‘typed’ the script, then yes, an infinite number of monkeys would be able to type Shakespeare. But because it’s a typewriter, I don’t think even an infinite amount would be able to.
No. If a monkey inherently NEVER, EVER hits one key at a time, then I gu3ss that scenario would make it impossible but that’s just stating that something is impossible in the first place and doesn’t affect the actual thought experiment in any way. Assuming that the typing monkeys literally ever have the possibility of only hitting one key at a time, no matter how many times they press two keys at a time and type nonsense, they will eventually and necessarily, bc of the definition of infinity, type Shakespeare. I don’t know how I can explain this better but I’ll try later when I have some time.
The theorem is only true if monkeys are random. But monkeys are not random, and therefore this cannot be proved true using monkeys.
