Just to play devil’s advocate here… (and be really annoying in my ignorance)

There is no such thing as infinity. Yes, I understand that you have a concept of endless sets, but no such thing exists, either in reality or in a concrete concept, merely your description of the concept. After all, the biggest number you can think of, plus one ad infinitum (or however you want to define it) is still just a function that cannot be carried out, except by the self defining rules.

Take for example the oft postulated infinite monkeys typing on infinite typewriters. It is oft said that eventually they will come up with all of Shakespeare’s plays. As I understand the concept of infinity, this isn’t correct. They will come up with all of Shakespeare’s plays, and every other work of literature and every possible bit of gibberish in about as long as it would take them to perfectly pound out the text without typoes the first time around. (Phone books and IRS regulations take longer because they are longer works.) But wait, this is infinity, that’s not all! Since this is infinity, that has no end, you could take every hundredth monkey and set them aside, and have 99% of your monkeys throwing monkey poo at each other and 1% still complete the same typing task, with the same results, because you still have an infinite number of monkeys working. You still get infinite copies of each great work and each piece of gibberish. But wait, it gets more absurd. You can come infinitely close to 100% of the monkeys throwing poo at each other and still have the same result, as long as it only approaches 100%, but never reaches 100%. After all, such a subset is still an infinity, but an infinitely small infinity. Yet since it is an infinity, the result is the same as for the largest infinity for our very pratical purpose of making an infinite number of copies of all works of literature and gibberish.

But wait! Ever wonder why mathmaticians use monkeys typing on typewriters coming up with literature? I’ve a better illustration.

An infinite number of monkeys with an infinite number of pencils and notepads randomly scribbling come up with all possible mathematical proofs in just a few hours depending on the length of the proof, laws of physics, grocery lists, etc. Remember, an infinite number of monkeys randomly solve each currently unsolved problem and at the same time create every as yet unknown problem, and solve them before they are finished being defined.

So remember, everytime you can’t solve a problem, remember, there an infinite number of monkeys can do better than you without trying an infinitismal fraction of how hard you are. Idiot.

I’ve waited years to actually put type that out. I just hope some part-time poo throwing monkey somewhere didn’t beat me to it.