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Poll: Is “-3” a whole number?

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Poll: Is “-3” a whole number?

#1
I've been having a discussion with a number of parents, teachers, mathematicians, engineers, and others, about what exactly is a "whole number."

Opinions vary, and it's certainly possible just to come up with a technical definition and say "That's the most convenient, that's what we'll use." But I'm interested to know what the community here on HN thinks.

Is "-3" a whole number?

Re: Poll: Is “-3” a whole number?

#6
Never met a whole -3 pizzas, nor a whole 0 pizzas for that matter.

That should be enough for you to deduce what I believe whole numbers are.

I should add, for a mathematical audience, I'd be careful, because of possible confusion, and insist on saying positive integers, and non-negative integers in the case of what I'd call the natural numbers.

Re: Poll: Is “-3” a whole number?

#8

Never met a whole -3 pizzas, nor a whole 0 pizzas for that matter. That should be enough for you to deduce what I believe whole numbers are. I should add, for a mathematical audience, I'd be careful, because of possible confusion, and insist on saying positive integers, and non-negative integers in the case of what I'd call the natural numbers.

Pragmatically I believe you are correct. I think negative whole numbers and zero are also a subset of "whole numbers" along with positive whole numbers.

Re: Poll: Is “-3” a whole number?

#9
post #5

Surprising how split it is, I'd never have thought that 50% would say "No".

It's commonly taught that way. http://mathworld.wolfram.com/WholeNumber.html

Seems to be an interesting case of a "false friend" then. The direct translation from/to German ("ganze Zahl"/"Ganzzahl") is very clearly defined as including the negative ones, and taught as such, in contrast to the natural numbers.
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