33 questions linked to/from Is $0$ a natural number?
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### Why do some accept zero as a natural number but others don't? [duplicate]

I have had many teachers who have told me that zero is a natural number but then there is those teachers who say its not. why is that ?
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### 0 as an element of the natural numbers [duplicate]

For what reasons would or wouldn't one want 0 to be the start of the natural numbers as opposed to 1? Why would one want it to be 1, or why wouldn't one?
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### Set question - $ℤ^+ = ℕ$ [duplicate]

I am not sure whether the following statement is true: $ℤ^+ = ℕ$ if not, why? Thank you in advance! I appreciate your help!
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### Why is $x^0 = 1$ except when $x = 0$?

Why is any number (other than zero) to the power of zero equal to one? Please include in your answer an explanation of why $0^0$ should be undefined.
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### Simple combinatorics question - caught off guard!

Prove that ${{2n}\choose{n}}$ is even for $n \in \mathbb{N}$. This one caught me off-guard when answering (or attempting to answer!) this for a student today. I tried this approach: {{2n}\choose{...
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### How many $1$s are in the first $1023$ binary numbers?

How many $1$s are in the first $1023$ binary numbers? I'm not to sure how to approach this question. An idea, formula, or solution is appreciated!
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### Can a number be non-imaginary and non-real?

I passed across this chart on the web and got confused. The diagram implies that there are numbers that are neither real nor imaginary. Is that possible, or is it just an incorrect diagram? I ...
### Should $\mathbb{N}$ contain $0$? [closed]
This is a classical question, that has led to many a heated argument: Should the symbol $\mathbb{N}$ stand for $0,1,2,3,\dots$ or $1,2,3,\dots$? It is immediately obvious that the question is not ...