Comments by "" (@tinkeringtim7999) on "Sabine Hossenfelder"
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@d-mancat537 It's not axiom, and it's not a proven theorem. It's not true at all and his comment was complete garbage end-to-end.
It would OBVIOUSLY only be true for a system with absolutely no constraints at all whatsoever of any kind. As soon as there's a single constraint (as with any analysable system, real or ideal), obviously there become unreachable states in phase space. IE, things that don't happen.
That literally mathematically illiterate codswallop about extending the idea of infinite monkeys to anything comes from popular science books. Even then, the infinite monkeys have to live infinitely long and never wear out their fingers or typewriters. But the same result comes from one monkey. Infinite monkeys in finite time may never produce anything longer than a few pages.
Finally, one can also say that e and pi and sqrt2 all contain all the works of Shakespeare back-to-back somewhere according to some encoding of letters as numbers (occurs as many times as there are encodings). Simultaneously contains the bible and everything else.
At that point, if you don't realise the whole game is utterly stupid, meaningless, and illogical, you shouldn't talk about maths yet. The valid/verified uses of infinity do not include such junk.
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