this post was submitted on 07 May 2024
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Science Memes

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[–] expr@programming.dev 87 points 1 year ago (25 children)

I just found out about this debate and it's patently absurd. The ISO 80000-2 standard defines ℕ as including 0 and it's foundational in basically all of mathematics and computer science. Excluding 0 is a fringe position and shouldn't be taken seriously.

[–] kogasa@programming.dev 9 points 1 year ago* (last edited 1 year ago) (12 children)

Ehh, among American academic mathematicians, including 0 is the fringe position. It's not a "debate," it's just a different convention. There are numerous ISO standards which would be highly unusual in American academia.

FWIW I was taught that the inclusion of 0 is a French tradition.

[–] holomorphic@lemmy.world 3 points 1 year ago (1 children)

I have yet to meet a single logician, american or otherwise, who would use the definition without 0.

That said, it seems to depend on the field. I think I've had this discussion with a friend working in analysis.

[–] kogasa@programming.dev 2 points 1 year ago (1 children)

I did say mathematician, not logician.

[–] holomorphic@lemmy.world 3 points 1 year ago* (last edited 1 year ago) (1 children)

Logicians are mathematicians. Well, most of them are.

[–] kogasa@programming.dev 3 points 1 year ago (1 children)

But not all mathematicians are logicians.

[–] porl@lemmy.world 1 points 1 year ago
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