this post was submitted on 07 May 2024
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Science Memes

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[–] [email protected] 7 points 4 months ago (4 children)

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

[–] [email protected] 23 points 4 months ago (1 children)

There's a hole at the bottom of math.

[–] [email protected] 11 points 4 months ago* (last edited 4 months ago)

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.

[–] [email protected] 11 points 4 months ago* (last edited 4 months ago)

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.

[–] [email protected] 5 points 4 months ago

Platonism Vs Intuitionism would like a word.

[–] [email protected] 0 points 4 months ago

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