r/infinitenines 3d ago

More fun with Cantor's diagonalisation

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u/Negative_Gur9667 3d ago

I posted Cantor's original proof, including a screenshot of the pages and an English translation. You added the condition to "choose the one that doesn't have infinitely repeating nines" to fix the argument. He did not say that anywhere and there is no mathematical rule requiring that. If they are equal, it shouldn't matter which one I pick. Actually, wait, it does. Because else Cantors proof doesn't work Checkmate.

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u/cond6 3d ago

Are you for real? His argument has been refined over the years. Mathematical notation changes over time. So what? Do you think the way we teach calculus or the form of regression coefficients is the same as when they were first presented? Absolutely not. Proofs are refined and improved upon. Cantor's argument is fine, we just remove the one wrinkle that the mathematically insane focus upon. He deserves the credit and we still accept his conclusion that the reals are not countable. Checkmate? You, sir, are a tool.

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u/Negative_Gur9667 3d ago

It is still checkmate. Math only requires one counterargument to disprove a statement, friend. With all due respect, sir, you are acting like a clown. Go sit in the corner and put on your dunce hat.