Is zero even?

[Ratty]

Before I get asked this again and again.

0 is an Even number

Why zero is even

It is easy to directly prove that zero is even: A number is called even if it is an integer multiple of 2. As an example, the reason that 10 is even is that it equals 5 × 2. In the same way, zero is an integer multiple of 2, namely 0 × 2, so zero is even.

This proof starts with a standard definition of "even number". It is also possible to explain why zero is even without referring to formal definitions. The following explanations make sense of the idea that zero is even in terms of fundamental number concepts. From this foundation, one can provide a rationale for the definition itself—and its applicability to zero.

Why should you care

Well one of Jakob's spells needs you to know if a card is even or not. As a Black Joker's value is 0, it's even.

This announcement has been brought to you by the number 0, and wikipedia.

[Joel]

Funniest. Thread. Ever.

[Iamwyrd]

I just about spit orange juice all over the place I laughed so hard.

[Kuro]

It's a pretty odd number if you ask me. Always trying to look like an O and multiplying other things into zeroes... who does that?!?

Edited August 20, 2012 by Red Morgan

[Dracomax]

0 is an odd duck. There are valid arguments that it is odd, even, and not a number at all. I could also make the case that 0=infinity.

I'd say we should do away with it, but apparently it's necessary for the internet, so I guess we can keep it. I'm keeping my eyes on Zero though. One of these days, it'll slip up and let it's true colors show, and on that day, I'll be there, yelling I told you so.

[011121]

On the contrary it's the greatest threat to the internet as we all live under the shadow of somebody somewhere someday dividing by 0.

[Dracomax]

I have been informed by various sources that 0 and 1 are necessary to make computers work. God forbid there be a 2, apparently.

[Gruesome]

I have been informed by various sources that 0 and 1 are necessary to make computers work. God forbid there be a 2, apparently.

My favorite tagline...

There are 10 types of people in the world, those that understand binary and those that do not.

[CRC]

Zero is a strange character. I wouldn't trust him either...

[decker_cky]

I only trust natural numbers...

[96p]

I only trust natural numbers...

you know that depending on the definition (yes their is actually no universal definition if or if not zero is natural) zero is in fact a natural number

[The Godlyness]

Yeah bayou gremlins zero is even you are good. Woot lol.

[011121]

Heresy!

[Korrosion]

So if zero is even, then is two a prime number?

[The Godlyness]

Is it only divisible by 1 and itself then yes. (hint its the only even prime number.).

[tmsmnns]

Is it only divisible by 1 and itself then yes. (hint its the only even prime number.).

No, it isn’t. You can’t divide by 0, remember?

2 is an even prime number, though.

[Dracomax]

No, it isn’t. You can’t divide by 0, remember?

2 is an even prime number, though.

Actually, you can divide by zero. It gets really complicated really quick, and the number approaches inffinity, but you can do it.

Also, 0/0 = 0, 1, or Infinity depending on how you look at it.

0 isn't a prime though.1*0=0. 2*0=0. 3*0=0. Therefore, since it has multiple(even infinite) divisors, it can't be a prime.

[The Godlyness]

No, it isn’t. You can’t divide by 0, remember?

2 is an even prime number, though.

Poster above was asking if 2 was a prime number. And my response is correct. When did i divide by zero

[SilverBullet]

Actually, you can divide by zero. It gets really complicated really quick, and the number approaches inffinity, but you can do it.

Also, 0/0 = 0, 1, or Infinity depending on how you look at it.

0 isn't a prime though.1*0=0. 2*0=0. 3*0=0. Therefore, since it has multiple(even infinite) divisors, it can't be a prime.

Unfortunately not. 0/0 is not defined, not even as infinity and certainly not as 1 or 0. Historically, one of the earliest recorded references to the mathematical impossibility of assigning a value to a /0 is contained in George Berkeley's criticism of infinitesimal calculus in The Analyst.

You can consider a limit as the denominator tends towards zero. In this case, for some number a, lim_{x->0}a/x=sign(a)*infinity. Generally the only case where division by zero is even slightly considered is on the Riemann sphere, where the number 1 (and only 1) can be divided by zero to give 1/0=infinity. This is only a very special case for a very peculiar set.

You are correct that zero is not prime. It is divisible by every number except 0. Indeed, for 0/a to make sense for any a you need only find a number b such that a x b = 0.

[96p]

[Mr.Soulstone]

[Korrosion]

Unfortunately not. 0/0 is not defined, not even as infinity and certainly not as 1 or 0. Historically, one of the earliest recorded references to the mathematical impossibility of assigning a value to a /0 is contained in George Berkeley's criticism of infinitesimal calculus in The Analyst.

You can consider a limit as the denominator tends towards zero. In this case, for some number a, lim_{x->0}a/x=sign(a)*infinity. Generally the only case where division by zero is even slightly considered is on the Riemann sphere, where the number 1 (and only 1) can be divided by zero to give 1/0=infinity. This is only a very special case for a very peculiar set.

You are correct that zero is not prime. It is divisible by every number except 0. Indeed, for 0/a to make sense for any a you need only find a number b such that a x b = 0.

This must be what a headache with pictures feels like? I learned something today, I think.

[Forar]

Oh god, I'm having "1+1=3 for sufficiently large values of 1" flashbacks from my WoW forums days.

That was an odd period on the internet.

[tmsmnns]

Poster above was asking if 2 was a prime number. And my response is correct. When did i divide by zero

My excuses. I apparently missed the post above yours. You were obviously completely right.