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Stick to the problem. Such puzzle won't prove the "0.999... problem".You know what? You're right. 1/3 is irrational, 1 is infinite, 3 is unnatural, and Achilles never did catch the tortoise. I don't know what I was thinking, claiming that rationals are rational! Clearly the arithmetic I learned at school was deeply flawed, and I was naif to think it could be trusted. How happy I am, now that I have learned the truth from some faceless bloke on the Internet. Well done you, eh? 1/3 is irrational; who knew?
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