Terrence Brannon wrote:
>
> We see that both i. and i: are given the informal name "Integers"
>
> IMHO, i. might be better termed Wholes because it provides n whole
> numbers when called as i. n
>
> IMHO i: is best called Integers because that is what it provides.

Both i. and i: produce subsets of the integers.  "Wholes" is not standard.
 If you wanted to rename them, i. gives (a subset of the) natural numbers.
 As far as I know, there is no standard terminology for the symmetric
intervals that i: produces.

Best wishes,

John

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