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Well this isn't true at all. I'm shocked anyone would upvote this nonsense.
by WoahNoun 5y ago
Well this isn't true at all. I'm shocked anyone would upvote this nonsense.
- __MatrixMan__ 5y agoHow about we play a game where you make a list of mathematical objects which are continuous, and I make a list of ones that aren't. I'll start with sets and you can start with the real numbers, and we'll see whose list is longer. To a certain degree the whole game is nonsense, there's a countable infinity of axioms and a countable infinity of theorems that follow therefrom, so we're never going to get anywhere rigorous with this, but just like it's not unreasonable to say that there are more multiples of 2 than there are of 2000, I think it's fair to say that continuity games on the reals represents a relatively small share when compared to mathematics in general.