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7 points

Wait, I thought everything in math is rigorously and unambiguously defined?

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23 points

There’s a hole at the bottom of math.

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11 points
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There’s a frog on the log on the hole on the bottom of math. There’s a frog on the log on the hole on the bottom of math. A frog. A frog. There’s a frog on the log on the hole on the bottom of math.

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11 points
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Rigorously, yes. Unambiguously, no. Plenty of words (like continuity) can mean different things in different contexts. The important thing isn’t the word, it’s that the word has a clear definition within the context of a proof. Obviously you want to be able to communicate ideas clearly and so a convention of symbols and terms have been established over time, but conventions can change over time too.

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5 points

Platonism Vs Intuitionism would like a word.

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0 points

Yes, and like any science it gets revisited and contested periodically.

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