this post was submitted on 07 May 2024
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I think whole numbers don't really exist outside of US high schools. Never learnt about them or seen them in a book/paper at least.
I wouldn't be surprised. I also went to school in MS and LA so being taught math poorly is the least of my educational issues. At least the Natural numbers (probably) never enslaved anyone and then claimed it was really about heritage and tradition.
Actually "whole numbers" (at least if translated literally into German) exist outside America! However, they most absolutely (aka are defined to) contain 0. Because in Germany "whole numbers" are all negative, positive and neutral (aka 0) numbers with only an integer part (aka -N u {0} u N [no that extra 0 is not because N doesn't contain it but just because this definition works regardless of wether you yourself count it as part of N or not]).
Natural numbers are used commonly in mathematics across the world. Sequences are fundamental to the field of analysis, and a sequence is a function whose domain is the natural numbers.
You also need to index sets and those indices are usually natural numbers. Whether you index starting at 0 or 1 is pretty inconsistent, and you end up needing to specify whether or not you include 0 when you talk about the natural numbers.
Edit: I misread and didn’t see you were talking about whole numbers. I’m going to leave the comment anyway because it’s still kind of relevant.