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This seems useful but I can't find anything like it.

For example, I might want to say that $\mathbb{N}_{7} = \{ 0, 1, 2, 3, 4, 5, 6 \}$ or $\mathbb{N}_{7} = \{ 0, 1, 2, 3, 4, 5, 6, 7 \}$. Is some sort of notation like that accepted?

JohnDoeVsJoeSchmoe
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    I've seen $[[m,n]]$ used for ${m,m+1,\ldots,n}$. – NeedForHelp Jan 27 '17 at 01:09
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    I have seen $[n]={1,\ldots,n}$ – Aweygan Jan 27 '17 at 01:09
  • I don't like it myself, but many authors treat the von Neumann way of representing numerals in set theory as a definition and identify $n$ with ${0, 1, \ldots, n - 1}$. – Rob Arthan Jan 27 '17 at 01:15
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    I've seen $ I_n$ used to denote the set ${0, 1, \ldots, n} $ and also $ I_n $ is called a section of the natural numbers. – Xam Jan 27 '17 at 01:16
  • @RobArthan. Set-theorists like the ordinal version as it is often convenient within that subject . But most people would be puzzled by "If $x\in 9$ then...." – DanielWainfleet Jan 27 '17 at 05:26

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