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[-] kogasa@programming.dev 5 points 10 months ago

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.

[-] SchwertImStein@lemmy.dbzer0.com 3 points 10 months ago

positive interers with addition are not a monoid though, since the identity element of addition is 0

[-] kogasa@programming.dev 3 points 10 months ago
[-] SchwertImStein@lemmy.dbzer0.com 2 points 10 months ago

I hope that explains everything

[-] davidagain@lemmy.world 2 points 10 months ago

They're not a complete algebraically closed field either, but I don't see you advocating for including e - i in the natural numbers!

[-] SchwertImStein@lemmy.dbzer0.com 1 points 10 months ago

yeah, this is kinda weak argument

[-] davidagain@lemmy.world 1 points 10 months ago

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.

this post was submitted on 04 Jun 2025
1168 points (99.2% liked)

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