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:::Can you please answer the question as to at what point 1/3 and 3/7 appear in your infinite list of lists? It seems clear that they don't. Your response goes straight to talking about irrational numbers. Please answer the question for rational numbers first, then answer it for irrational numbers. By telling us to "add the missing digits yourself", you're admitting that the irrational numbers don't appear on your lists. If your lists don't contain simple rational numbers like 1/3, nor any irrational number, then they obviously don't contain all the numbers from 0 to 1, or even most of them.
:::The diagonalisation process requires a list in which there is a sequence of digits for every natural number. Your process has multiple digit sequences for each natural number; in fact an apparently infinite number. So there isn't a diagonalisation process until you define how to combine all your lists into one list. [[User:MartinPoulter|MartinPoulter]] ([[User talk:MartinPoulter|talk]]) 09:54, 21 April 2025 (UTC)
::::I have already answered each of your questions earlier. The question about the ___location of irrational numbers written in the decimal positional system is impossible. The matrix contains an infinite number of infinite sequences of rational numbers. If you write down in a sequence of numbers, the numbers that arise step by step during the creation of a new number, which the diagonal method offers, then a sequence of rational numbers will be created, i.e. such a sequence as are in the matrix. You are asking about creating a list, I have previously indicated a link on how to write down the numbers from the matrix into a single list. You can also do this; A1 B1 A2 C1 B2 A3 D1 C2 B3 A4 E1 D2 ... However, if you learn how a matrix is built, and how a new number is created in the diagonal method, you will understand that this method is pointless, i.e. it will not create a new number that is not in the matrix. Now a question for you; 1. Can the diagonal method create an irrational number or an infinite sequence of rational numbers? 2. If the list does not contain all the numbers, will the diagonal method find a new number that is not on the list? I apologize if something was misunderstood, maybe it's because of Google Translate. [[User:Krzysztof1137|Krzysztof1137]] ([[User talk:Krzysztof1137|talk]]) 17:21, 21 April 2025 (UTC)
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