this post was submitted on 04 Jun 2025
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Yeah, it's a matter of convention rather than opinion really, but among US academia the convention is to exclude 0 from the naturals. I think in France they include it.
positive interers with addition are not a monoid though, since the identity element of addition is 0
Okay
I hope that explains everything
They're not a complete algebraically closed field either, but I don't see you advocating for including e - i in the natural numbers!
yeah, this is kinda weak argument
Not sure if you're conceding the monoid part or not.
We can agree that the natural numbers are a semigroup, I think, which should make us all happy.