Are there many different interpretations of whole numbers? If so how do you decide which one to adopt?
It's not uncommon in math to have slightly different definitions depending on context. The definition of "whole number" is notoriously variable; that's why mathematicians don't use it formally. [ (Educators use some terms that mathematicians don't even know, much less defend.) The most popular definition is probably that the natural numbers are 1, 2, and so on, while the whole numbers also include zero. The integers (your third case) are not formally called whole numbers in my experience, but the root meaning of the word "integer" is "whole," and I sometimes call them "signed whole
numbers." ]
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