this post was submitted on 22 Jul 2024
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Science Memes

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submitted 4 months ago by [email protected] to c/[email protected]
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[–] [email protected] 8 points 4 months ago

No, it's correct. You define the operation by it's properties. It's not saying that "a plus 0 = a" but "the result of applying the binary operation '+' to any number with 0 should give the original number."

  • is just a symbol. You could instead write it as +(a,0)=a and +(a,S(b))=S(+(a,b)).

You have to have previously defined 1=S(0), 2=S(1), 3=S(2), and so on.