Is 0 a natural number?
194
1.4kṀ31k
resolved Jan 2
Resolved
N/A

Will resolve to YES if >50% at close, NO if <50% at close, and N/A if 50%.

Pros of 0 being a natural number:

  • Computers count from 0

  • Modular arithmetic and remainders include 0 as the first value (this is actually probably equivalent to the first point, now that i think about it)

  • The definition of the natural numbers (where n is defined as the size of the set containing the all the previously defined numbers) using sets relies on 0 being the first natural number

Pros of 0 not being a natural number:

  • 0 has a lot of weird properties not shared by other very definitively natural numbers, which makes it awkward to include (ex. when defining things like 1/n where n is a "natural number")

  • 0 is functionally symmetrical to ∞, which is definitely not a natural number

If anyone else brings up a good point about 0 being in or out of the set of natural numbers, I'll add it.

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