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[-] pooberbee@lemmy.ml 10 points 6 months ago

It is a natural number. Is there an argument for it not being so?

[-] jroid8@lemmy.world 21 points 6 months ago
[-] darthelmet@lemmy.world 21 points 6 months ago

Well I’m convinced. That was a surprisingly well reasoned video.

[-] Sorse@discuss.tchncs.de 7 points 6 months ago

Thanks for linking this video! It lays out all of the facts nicely, so you can come to your own decision

[-] kogasa@programming.dev 4 points 6 months ago

There can't really be an argument either way. It's just a matter of convention. "Natural" is just a name, it's not meant to imply that 1 is somehow more fundamental than -1, so arguing that 0 is "natural" is beside the point

[-] Collatz_problem@hexbear.net 1 points 6 months ago

If we add it as natural number, half of number theory, starting from fundamental theorem of arithmetics, would have to replace "all natural numbers" with "all natural numbers, except zero".

[-] pooberbee@lemmy.ml 1 points 6 months ago

Prime factorization starts at 2, I'm not sure what you mean. Anyway, if you wanted to exclude 0 you could say "positive integers", it's not that hard.

[-] Collatz_problem@hexbear.net 1 points 6 months ago

1 also has a unique 'empty' prime factorization, while zero has none.
You can also say "nonnegative integers", if you want to include zero.

this post was submitted on 07 May 2024
873 points (98.1% liked)

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