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From a technical perspective you frequently need 0 in there. From a pure convenience perspective, it doesn't make sense to assign ℕ to the positive integers wh
by thaumasiotes 1y ago
From a technical perspective you frequently need 0 in there.
From a pure convenience perspective, it doesn't make sense to assign ℕ to the positive integers when they're already called ℤ⁺. Now you have two convenient names for the smaller set and none for the larger set.
- auggierose 1y agoBy convenience I mean "convenient from a technical perspective", and yes, you often need 0 in there. Your other argument doesn't make much sense. I learnt both in school and at university ℕ, ℕ₀, and ℤ as THE symbols for the natural numbers, the natural numbers including 0, and the whole numbers. Fuck convenience. ℕ, ℕ₀, and ℤ it is :-) It is just so much prettier (ℤ⁺ is a really ugly symbol for such a nice set). It is actually also not inconvenient if you don't use static types.
- auggierose 1y agoOn the other hand, even for writing a perfectly fine natural number like "10", you need the zero... Maybe it is just ℕ and ℤ after all. And round we go.
- thaumasiotes 1y agoWhat do you use for the negative integers?
- auggierose 1y agoI very rarely use just the negative integers, so I don't need a symbol for it.