is 0 even or odd?

[SimpleChimp]

I think 0 is a concept more than an actual number. It signifies that you have nothing. You can't put a numerical value on a concept, and you need a numerical value to classify something as even or odd.

But in a ranking from -10 to 10 there are 21 places.

ten negative, ten positive, and zero

Zero holds a place in the number line.

Zero is also an integer because integers are all whole numbers including negatives positives and zero.

If 10 20 30 40 are even, then the designator -0 makes it even

So just because the first number in this instance (zero) has no value it still exists as a number. if both 1 and -1 are odd then zero must be even.

 

[=HCFS=Discoman]

mathematically, it is even

 

[Forum_Name]

0 is both even and odd.

 

[jamesmax]

well if you think 0 is not a number then its odd

0 is nothing

nothing can only be divide by nothing as it is nothing

if you think of it as a number then its even as 0 is evenly divisible by 2

 

[riverand]

Neither... Zero is not an integer.

The concept of even and odd only applies to integers therefore 2 is even, 3 is odd, 3.5 is neither and 0 is neither also.

Actually zero is an element in the set of integers (the Z set).

Strictly speaking it's even, since when you do set mappings you use 2*n for evens and 2n+(or -)1 for odds where n is an integer. However the principle of odd and even is only really used in natural number mappings, and 0 is not a natural number. So essentially from an analytical maths perspective it doesn't really matter but for the sake of completeness it's even.

Preach on, Zantos! I'm a high school math teacher practically hyperventilating over here with the responses. You set my mind at ease, I will be able to sleep soundly tonight knowing that your response is out there.

 

[Purple Shrimp]

in terms of functions it's both. a function is even if f(x) = f(-x) and odd if f(-x) = -f(x), and f(x) = 0 satisfies both. I don't know if that necessarily carries across to the number but it'd make sense

 

[Aidinthel]

0 is both even and odd.

I don't think that makes any sense. Though your name is almost great enough for me to just take your word. Almost.

 

[infohippie]

If it was a number it'd be even because one (1) is odd and since after one (1) every other number is even such as two (2) and four (4) (Therefore making 3 odd) it works the other way to make zero even the same way two (2) is, it's next to an odd number.

But since it isn't in the category of Real Numbers, it does not matter

EDIT: Used the word Therefore WAY too many times for my liking

What? Zero is too a Real number. And it is even.

 

[Electrohydra]

Zero isn't a number. It's a concept.

It's a number. And a concept. Because all numbers are concepts (or fillers, or whatever you want to call it). Even your "normal" numbers.

Don't believe me, then find me, find a 21. Not 21 things, but A 21. Or someone feeling 21 if you think it's an emotion. Or doing 21 if you think it's an action. Etc.

in terms of functions it's both. a function is even if f(x) = f(-x) and odd if f(-x) = -f(x), and f(x) = 0 satisfies both. I don't know if that necessarily carries across to the number but it'd make sense

/win (because it actually works)

 

[Romidude]

If I remember correctly, isn't 0 technically infinite in a sense? I remember reading something about why you can't multiply by it and it would theoretically become infinite.

 

[MaVeN1337]

Parity, ladies and gentlemen. Zero is in fact: Even!

 

[GingieAle]

This thread is absolutely retarded. I love it.

 

[Heathrow]

please enlighten us then.

I suppose the simplest way would be to stop trying to quantify 0 as an integer, that means parity wouldn't try to describe it at all. Unless of course there's some reason an unquantifiable concept absolutely has to be counted among the natural numbers.

 

[0p3rati0n]

To the technical standpoint it's neither. It does however have the "even feel" to it. Probably because it's between -1 and 1 which are odd so our brains create it as an even although it's not.

 

[2012 Wont Happen]

Neither, you can't divide 0 by 2 or any other number.
Do I win?

You can divide zero by two. The answer is zero. Nothing can be divided by zero but zero can be divided by anything giving an answer of two.

OT:

As previously stated, zero is considered to be an even number because two can go into it evenly.

 

[RUINER ACTUAL]

Look at it more simply. You can't divide nothing between two groups evenly. Any number is even is you try hard enough. 1 is even if you have two halves. Zero is not.

 

[Purple Shrimp]

in terms of functions it's both. a function is even if f(x) = f(-x) and odd if f(-x) = -f(x), and f(x) = 0 satisfies both. I don't know if that necessarily carries across to the number but it'd make sense

Well that doesn't say much since that is true of any integer.

not at all; for example, if f(x) = 1 then it's not true that -f(x) = 1, so it isn't odd. (This, of course, counters your argument but reveals the enormous flaw in my reasoning which I've just realised, which is that any constant function is even, including odd numbers. consequently 0 isn't both odd and even and im dumb)

 

[The Seldom Seen Kid]

Zero isn't a number, so it's neither even or odd. It's, by definition, nothing. (That's just my thoughts. I'm not a mathematician or anything.)

On the other hand, if you divide 0 by 2, there's no remainders, so it could also be pair.

 

[Kingpopadopalus]

Even. You can split it equally into two groups.

Bad math is bad. 1 can be split equally into two groups as well. .5 and .5

 

[Klarinette]

Mathematicians are lazy and the only reason 0 is technically even is because it fits the oversimplified definition of parity.

Pow; what I was going to say, but much more straight forward.