this post was submitted on 20 Oct 2024
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Math Memes

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Memes related to mathematics.

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[–] [email protected] 121 points 3 weeks ago (30 children)

This guy would not be happy to learn about the 1+1=2 proof

[–] [email protected] 7 points 3 weeks ago (15 children)

Isn't "1+1" the definition of 2?

[–] [email protected] 37 points 3 weeks ago (11 children)

That assumes that 1 and 1 are the same thing. That they’re units which can be added/aggregated. And when they are that they always equal a singular value. And that value is 2.

It’s obvious but the proof isn’t about stating the obvious. It’s about making clear what are concrete rules in the symbolism/language of math I believe.

[–] [email protected] 2 points 3 weeks ago (1 children)

Isn't 1 and +1 well defined by the Peano Axioms by using the intersection of all infinite successor functions and starting at the empty set?

[–] kogasa 1 points 3 weeks ago

It depends on what you mean by well defined. At a fundamental level, we need to agree on basic definitions in order to communicate. Principia Mathematica aimed to set a formal logical foundation for all of mathematics, so it needed to be as rigid and unambiguous as possible. The proof that 1+1=2 is just slightly more verbose when using their language.

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