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Heh heh, pages upon pages of people going No... NO! Aaaaaagh you're all wrong shut up about the .999... thing. This is worse/more amusing than the time that the Monty Hall problem was AOTD.
I find it interesting that the text of the article actually predicts the belief-path the doubters take... when faced with simple and easily graspable proofs, they change their minds and state that obviously this means that the number system is broken.
I find it interesting that the text of the article actually predicts the belief-path the doubters take... when faced with simple and easily graspable proofs, they change their minds and state that obviously this means that the number system is broken.
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Mathematics is language, and nothing but language. It has the same ontological status as English, which certainly exists.
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But you can lie with language, or simply make stuff up. And in that sense, neither English nor mathematics are real. I mean, there's no larger Truth to language, English or Math. At best, they're a reflection of reality, not reality themselves.
You could make some arguments about the interactivity of language and life, like how learning a language changes the way people think. And in that sense they're real, too. I really only meant exist on a certain level. Loose language. My bad.