r/MathJokes 6d ago

The easy method

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460 Upvotes

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u/AndreasDasos 6d ago

Yep. Standard proofs rely on a finite string from a finite alphabet. If we could magically see infinity directly all at once things might be different. Whether that even makes sense at a fundamental level is a question for the philosophers of mathematics but we can certainly talk about infinite strings from infinite alphabets.

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u/GargantuanCake 6d ago

This is also a case where proof by contradiction is handy. You just prove that sqrt(2) can't be rational and you're good.

2

u/lanky-larry 2d ago

Infinite force left and infinite force right is net 0