Talk:Cantor's diagonal argument/Arguments: Difference between revisions

Revision as of 23:06, 29 April 2025

Revision as of 01:40, 30 April 2025

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:::::[[User:JumpDiscont|JumpDiscont]] ([[User talk:JumpDiscont|talk]]) 23:06, 29 April 2025 (UTC)

::::::The diagonal method in the next steps creates the next numbers with a finite notation, if you write down all the possible numbers that can be created in the columns, then an infinite series of columns with numbers with a finite notation will be created. The columns contain all the possible numbers for any number of digits after the decimal point. Column "A" contains all the numbers with one digit after the decimal point. Column "B" contains all the numbers with two digits after the decimal point. Column "C" contains all the numbers with three digits after the decimal point. Column "n" contains all the numbers with "n" digits after the decimal point. The number of columns is infinite. If you write the numbers in a list, e.g.; A1 B1 A2 C1 B2 A3 D1 C2 B3 A4 E1 D2 ... etc. Only now can you use the diagonal method on the list, but we know that this list already contains all the numbers. There is a feedback loop that makes this list a trap for the diagonal method. There is no way to get beyond the numbers contained in the matrix. [[User:Krzysztof1137|Krzysztof1137]] ([[User talk:Krzysztof1137|talk]]) 01:40, 30 April 2025 (UTC)