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Symbol of Natural numbers

I have been commonly using \(\mathbb {N}\) and \(\mathbb {Z}^{+}\) to denote natural numbers. Recently I have come across on some questions the symbol \(\mathbb {I}\). I have checked various websites and have not found anything to do with the I symbol. Is it a proper symbol? I will be glad to know. Probably, it is used elsewhere in the world and I am unaware.

Note by Joel Tan
2 years, 7 months ago

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\(\mathbb{I}\) is used in India along with \(mathbb{N}\) and \(\mathbb{Z}^{+}\) to represent Natural numbers .

But as far as official use is considered , \(mathbb{N}\) would be my choice .

Azhaghu Roopesh M - 2 years, 7 months ago

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Isn't this the symbol for an ideal? click here

Bogdan Simeonov - 2 years, 7 months ago

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I've not see \( \mathbb{I} \) for ideals. They are often just \(I\) or \(J\).

Calvin Lin Staff - 2 years, 7 months ago

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Oh yeah, it does look different, I thought it was the normal capital I.

Bogdan Simeonov - 2 years, 7 months ago

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Nope, not as far as I know. I try to refrain from using \(\mathbb{N}\) unless it looks super ugly otherwise, to avoid any confusion. I take \(\mathbb{N} = \mathbb{Z}^{+} \cup \lbrace 0 \rbrace\) as per the Peano axioms.

Jake Lai - 2 years, 7 months ago

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The formal definition of natural numbers exclude 0.

Joel Tan - 2 years, 7 months ago

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Really?

Jake Lai - 2 years, 6 months ago

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