User talk:110.175.241.140

April 2022
Hello, I'm SunDawn. I noticed that you made a change to an article, 20,000, but you didn't provide a source. I’ve removed it for now, but if you’d like to include a citation to a reliable source and re-add it, please do so! If you think I made a mistake, or if you have any questions, you can leave me a message on my talk page. Thanks. SunDawn talk  12:23, 27 April 2022 (UTC)

Your change on 10:54, 27 April 2022
0.101001000100001000001.... This has an infinite non-repeating expansion, but the digits 2,3,5,6,7,8,9 do not even occur, let alone repeatedly. –Nomen4Omen (talk) 13:55, 27 April 2022 (UTC)
 * 1) Maybe, there are better wordings than "regular repetition".
 * 2) But YOUR statement: "every possible repetition will occur over the course of an infinite expansion" is totally wrong and untenable. Counterexamples e.g. are mentioned in the text immediately after: $√2$ and $\pi$. But also the following extremely simple construction is a valid counterexample against your statement: Take the decimal number containing only digits 0 and 1

I take your specific counter example using 0s and 1s. But, as for pi and second root of two are concerned, I simply fail to see how a finite set of elements over an infinite range (very non-technical explanation here, am not a mathematician) cannot produce repetitions. It seems obvious to me that given an infinite span all possible configurations of these finite elements (the decimal symbols 0 through 9) must exhaust themselves. What am I missing?


 * Very good: the SITUATIONS (finite in number) must exhaust themselves. So they reproduce themselves repeatedly. They do it and they must do it.
 * But a string of infinite length (over a finite number of digits) is extremely unprobable to repeat. It is free to forget everything and to adopt a completely new situation after every digit.
 * (And you do not know pi or second root of two well enough so you can say how they behave. As to repetitions they resemble my counter example.) –Nomen4Omen (talk) 14:49, 2 May 2022 (UTC)