Science Memes

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1 + 1 (mander.xyz)

submitted 4 months ago by [email protected] to c/[email protected]

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[–] [email protected] 0 points 4 months ago* (last edited 4 months ago) (1 children)

ok, I define 1 as {∅} and 2 as {∅, {∅}}

proving the addition holds is slightly more complicated

[–] [email protected] 0 points 4 months ago (2 children)

Now define "+"

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

I love the comment that it's "occasionally useful"

[–] [email protected] 0 points 4 months ago (1 children)

Hmm yes.. set theory... I don't understand anything happening here

[–] [email protected] 1 points 4 months ago* (last edited 4 months ago)

There is actually a really good explanation for us math-curious non-mathematicians here:
https://blog.plover.com/math/PM.html

[–] [email protected] 1 points 4 months ago

+ is a map from N×N to N where a + 0 = a and a + S(b) = S(a + b) (S is the successor function that gives the next number).
Then 1 + 1 = 1 + S(0) = S(1 + 0) = S(1) = 2.