Every website bar 1 on the first page of googling is 0 even or odd comes up with even and in this case the Wiki article is right and so is my maths book. Also so is observation.funguy2121 said:
is 0 even or odd?
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Well, the pattern is even-odd-even-odd-even-odd. 1 is odd, 2 is even, -1 is odd, -2 is even, so I guess 0 is even.
What is more shocking the lack of use of a search bar. Although on a forum not using a search bar is to be expected but if you just google the question you get the answer.Fagotto said:I'm just a college student majoring in computer engineering and this is making me want to strangle something XPriverand said: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.Zantos said:
I wonder about how far the people in this thread have gone in math...
I'm glad I could help. However would it spoil it if I said this is the ONLY time I've ever used set theory outside of an exam?riverand said: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.Zantos said:
Fair enough. Our maths department is one of the "If you try to index zero in the natural numbers you WILL be beaten to death with a proof by induction" ones. I don't know how it's taught elsewhere, but I did not want to cross the man with the huge wad of proofs.crudus said:
If you don't have the mathematical knowledge to understand that 0x=0 for all real values of x, then you don't have enough knowledge to form an opinion on what is lazy or not.Heathrow said:
But I'll explain it to you.
Let's say you have three boxes, and each contains zero cookies. If you dump the 'contents' of all three boxes together, you will end up with no cookies. Cookies will not magically appear out of thin air. That's why it works. This proves simultaneously that three times zero = zero, and as well, zero divided by three equals zero because if you take those zero cookies and equally distribute back into their original packages, each package still gets zero cookies. This remains true for every number of boxes.
And the reason zero is even is because zero is divisible by 2.
Someone needs to go back to grade 3 math class.
Why are there over 300 responses to this simple question? Here's the answer from an engineering PhD (me)
Zero is even. Even is definable by the ability to evenly divide by two. Zero is an integer. Zero is a number.
What some of you smarties are trying to argue is that zero is an abstract concept of nothing, however, mathematically, as a separator between -1 and 1, it exists as a concrete construct. Making the argument that zero is a non-entity and doesn't exist would be that same as arguing that black is not a color. Black is a color, though the absence of color produces black. It's basic logic kiddies, sort of like "all vikings have blond hair, but not all people with blond hair are vikings.
I don't even know why I am wasting my time writing this. Zero is a number. Zero is even. Sheesh.
Zero is even. Even is definable by the ability to evenly divide by two. Zero is an integer. Zero is a number.
What some of you smarties are trying to argue is that zero is an abstract concept of nothing, however, mathematically, as a separator between -1 and 1, it exists as a concrete construct. Making the argument that zero is a non-entity and doesn't exist would be that same as arguing that black is not a color. Black is a color, though the absence of color produces black. It's basic logic kiddies, sort of like "all vikings have blond hair, but not all people with blond hair are vikings.
I don't even know why I am wasting my time writing this. Zero is a number. Zero is even. Sheesh.
A well-accepted "definition" of even is:
For an integer x, if x mod 2 = 0, then x is even.
mod 2 refers to the divisibility of x by 2. It is a fancy way of taking the "remainder" from elementary division.
Dividing 0 by 2, we can clearly see that 0 mod 2 is, in fact, 0. Therefore, we conclude that 0 is even. If you're not convinced that 0 is not an integer: To the Google!
For an integer x, if x mod 2 = 0, then x is even.
mod 2 refers to the divisibility of x by 2. It is a fancy way of taking the "remainder" from elementary division.
Dividing 0 by 2, we can clearly see that 0 mod 2 is, in fact, 0. Therefore, we conclude that 0 is even. If you're not convinced that 0 is not an integer: To the Google!
You can say that zero is even because it is divisible by two, but that isn't technically true, because zero is nothing and you can't split nothing. Yes you can say "if you divide nothing among three people each person has nothing" but that is because nothing was split, there was nothing there ever and could not be split among any number of people, so zero is neither even, nor odd
.99 repeating is approximately 1, it is never and has never actually been equal to 1, and 1/3 is approximately .33 repeating, it is not actually possible to divide and even amount of something by an odd amount of something which is why we approximate itbojac6 said:
Floppertje said:
This isn't flawed mathematics. And there are several other proofs of this out there. Look them up.
This is math. Just because you don't believe it's true doesn't make it any less true. You look more than a little silly when you so fervently deny something like this.
he is right, 0.99 repeating is never equal to one, but it is generally approximated as 1drummond13 said:
In maths Ø (empty set) is nothing. 0 is an element of Z (integers).artanis_neravar said:
The splitting thing is an elementary school flawed example that helps kids with no knowledge of maths understand the concept of division. Personally I'd prefer to base my math on actual axioma (a number if even if there's an N in Z for which 2N is that number, in the case of 0 that N is, surprise, 0) instead of elementary school examples.....