Is Zero Even? - Numberphile 

Hahah

Its better then being in dept though.....

-100.000 is even, or not?

Even and negative.

but its not negative, its zero. Negative is less than nothing.

What

Monthly

and another 10 pounds for wasting my time

If you don't understand "zero" I am not going to let you drive my car because you won't put gas in the tank. I'm pretty sure that farmers that over-wintered animals understood "nothing" as well. The stockpile of food for the animals and the other stockpile of food for the humans could get empty before spring. That would be a horrible disaster for the people depending on it. They either understood "running out" or they died. I don't believe this "didn't have the idea of zero" stuff. And empty plate, and empty cupboard, an empty barn, all of these were just other names for nothing.

@@puppetsock they obviously knew about nothing, but not in the mathematically useful sense, that's all.

I'm ok with it because it's evenly out of ink in proportion with the level of ink it has.

*deeply*

"I find your lack of ink disturbing."

@@ratoim Why repeat?

That's how it should be with this topic: near-zero.

Makes sense since negativity is basically just an abstraction. There’s no such thing as a negative number in our natural world.

@@nickwilson3499 I cant have negative 6 sheep, or negative 10 apples. the closest thing would be debt

@@mcvibing2785 exactly what I was saying. Debt is just saying “when you have more sheep, give some to me.” It’s just in your head, it doesn’t actually exist.

@@nickwilson3499 yeah

F=-kx is Hooke's Law. What do you say? Oops, it's just a model.

I do it all the time actually

It didn't make any cents, either.

I see this comment posted 2 years ago, the first reply 2 weeks and the second reply 2 days Therefore 2+2+2=6 My comment will be posted 1 second ago, the time it takes to refresh the page and find this comment again would be 5 seconds 6-(5+1)=0 0 is even

You bought it from 0 farmers

that's pretty odd

bruh

Pass the blunt

Hmm

odd + odd = even (3+5 = 8, 7+11 = 18), 0 + 7 = 7 (odd!)

@@user-bb5bf2tp4w I think it only works for natural numbers

You mean zero is naught so common?

24kGoldenRocket stfu

@@24kGoldenRocket zed refers is an alternative pronunciation of the letter z instead of saying "zee"

IronCoreGroup “zee” is the alternative pronunciation, not “zed”. The entire English speaking world says “zed”.... only the Americans say “zee”

@@TC_83 Which pronunciation is alternate is relative. That's not special though, just about everything is relative.

100 likes and not 1 comment. nuff said

128 likes and not 2 comments. nuff said

137 likes and not one person with a sense of humour. Nuff said

144 likes and no cats :( nuff said

196 likes and no jokes. Nuff said.

Looooool😂😂

underrated comment !

+Dylan N Ha ha ha, I even find it odd too.

Even I find it odd!

Hahahahahahah

Even though it makes zero sense?

@@TheGoatDyl even too

Hello Zero, my old friend.

One, is the loneliest number

0. Thats our friends 0 thats our friends Points give you friends

I was about to make a similar comment...

*void winnower has entered the chat*

I don’t play but I’m curious what you mean with your comment. Lol. Care to explain?

Dominik Brame some magic the gathering cards reference odds and evens and on every card that mentions them they say that zero is even. It’s kinda become a joke I’m the community

(Zero is an even number)

*nought

shut up, dad

i'm gonna give u pun-ishment

Makarputo

One of the best jokes i've read👍

Brilliant! ...all i got from pairing up was traumatized🤷😆

@Brianna Love Well, in Finnish, the word for ”odd number” is: _”Pariton Luku”_ (lit. ”Pairless Number”), and for ”even number”, it’s: _”Parillinen Luku”_ (lit. ”Paired Number”). 😅🇫🇮

@@michaelhanford8139 Like getting picked last to the team, in PE.

@@PC_Simo you can be pair with ...the teacher! ...:( thats me at school

@@pepe6666 It could have been me, just as well; and probably would have been, if being pair with the teacher had been a thing, for us. My sympathies. :(

lol

I found it *odd* that you would _even_ bring that up.

Even so, you have to do so

Que laugh track

Ben Waffle queue*

Nope.. it's sort of not a number... -1, -2, -3 are counting backwards, +1, +2, +3 Is counting forward.... 0 has neither a + or -. Zero belongs at the start of an equation like a capital letter ie 0+6/+2+(0+1+2)= 0+1. I'd say people have lost their mind with maths, but maybe they never had it.

Yes, according to my programming language.

@@cgiunta6542 yea, der, I know. Binary code is different to maths. I stick to maths tho.

@@neverrip6809 zero is a number.

Alex Prangnell / Binary is a base 2 counting system. It is still very much maths haha

you poore soul

I imagined a y=1/x function and how there is an asymptote at x=0

That's 0!, so that will work cause it's 1

Farmeryeti I think that most people intuitively thinks of 0 as even, but after learning more about 0 and how it acts in a weird way in many cases, like how 0 is neither positive nor negative, and how you can't divide by 0, some people might start to question whether 0 is actually even or if it's neither even nor odd. Apparently it does fit in well with the even numbers though.

MasterOfTheChainsaw It's because even numbers are defined as anything that is equivalent to 0 mod 2. Nothing really deeper than that.

Jonathan Park Somewhere in the galaxy, we have the same name!

Jonathan Peck !!! Hahhaa

Farmeryeti My sixth grade math teacher didn't know this. I was very surprised.

+Walwalkn Wewnrkl Lol, I can't even...

+Proximity94 so zeros the odd one out kek

You mean that makes even sense

That's a very odd pun, even for me...

It is very odd, that nothing is even, whereas something might be odd, or it might be even. 0/2=0/3, IF not please demonstrate.

I think I would have. Zero is a weird number that kinda follows it's own rules (you can't divide by it, anything multiplied by it is zero, stuff like that) and if you're asking me that I will assume you're tricking me (like asking "is a banana a berry") Ps: swede?

This is relevant how? That is a grammatical caveat and nothing really to do with maths.

I did say I was going off at a tangent...

+lomax343 Grammatically speaking, so are decimals. on average, households in the US have 1.7 toasters.

There is no cup on the table.

That implies there was supposed to be one.

Neutral numbers

8 is even EVEN..

@@akberjag even Steven

this must be the work of an enemy stand

Lol

Not even odd at all.

tephine 726 ???? Wat ????

Zero can.

This comment is odd.

MrBlueSky Is zero even a number divisible by two and can be added by two numbers and can be added with another number that is not divisible by two and become a number that is not divisble by two?

Invalide_Account meth... helluva drug

7 is less than an infinite number of non-even numbers. Ergo it has to be even. Where's my prize?

***** exactly, thank you for noticing

2 / 2 = 1, so 2 is even 10 / 2 = 5, so 10 is even 0 / 2 = 0, so 0 is even The pattern is that they all become whole numbers when divided by two. Nobel Prize now.

Doktor Karlos Mathematicians do not get a Nobel Prize, you know...

Elliot Gale He said ONE less.

CowLunch No!

CowLunch Eventually maybe

+CowLunch do you even even bro

+CowLunch That's Odd

Well, I've never read it.

PiZzA ZiZa wait what is 7 a common favorite number?

***** 8 just has that special feel to it, and it is a common number in computing

My new fav number is -1 because e^iπ=-1

My issue with negative one is its root is imaginary. And something tangible coming from something imaginary :p causes a lot of headaches in a philosophical sense.

My favourite number is 256, because it is 2^8, or the amount of numbers you could have in 8-bit binary.

Came here the guy who believes books came from SKIES

It's a 0 on its side.

I just came here to make that joke, but you already did. Thanks

SentsuizanXS Actually it literally can't odd.

It makes me feel odd

Does your native language have "odd, even, zero...."? I think you are buggering English. Try rewriting your comment so it makes sense?

I am the 666th like

If you are not an Indian and not a Hindu, than how can you make such a funny comment :) No one stole anything from India, Muslim scientists were dominant in India as well sir :)

Lol, wasn't a joke, it was the truth, you can research the timeline quite easily

__I__ haha

+Shaamyl Anwar Islam came to India at around 700 AD. Aryabhatta used 0 as number at around 500 AD.

Yes Mridul, I never talked about the use of 0 only, just Al-Khwarizmi's contributions to Maths generally

they are just ratios...and I guess it would be a boring video

Wiki can reveal this mystery for you.

Thinking again, that would be a nice history video if they show how they were developed.

(tg is usually abbreviated tan) i mean, they are all related to the x and y coordinates of points at a specific angle on a circle (sin and cos) and on a tangent line that intersecs the x-axis(tan and cotan)

coolguy 284 If you are talking about the modern definition, sure, but the historical origin is far more complicated than this. In reality, what happens is that you draw a circle and then a triangle using a central angle. There are many limes that have some special relationship to the circle, e.g a tangent line or secant line. The ratios are then defined in terms of how the special line is parametrized by the angle and the radius of the circle. Only a few of these ratios are taught today, though, which are the sine, cosine, tangent, cotangent, secant, and cosecant.

WTBGold Kwingcungs

No, it's an abstract idea

Quincunx means 5/12 of an inch (uncia) or the pattern of 5 dots e.g. on dice. I think a Latinate word for 'fiveness' could be 'quinquity'.

No

No it's not. It's _fiveness_

Thank you I was gonna say that

This was my thought as well.

three people that didn't bother to watch the entire video?

nice one, clever

+salaciousBastard it's positive or negative infinity depending on the situation. there. done.

+salaciousBastard Basically if f(c) = ?/0, then you take a limit of f(x) as x->c, and that would be the answer. Most of the time this equals +- infinity (or a complex infinity), however, if ? = 0, then it could equal any number.

+E_M_E_T It's not infinity, it simply can't be done

+E_M_E_T So basically, what you're saying is that it's both infinities at the same time. Wouldn't that simply mean that they take each other out, just like numbers with real values? I think I'll keep saying that it's impossible, because 0 isn't something that actually exists. It's an idea of nothingness to help with calculations.

+E_M_E_T Infinity is not a number. Nice try, though.

+Arc Kocsog Casinos also use "00" too!

+Arc Kocsog lol

+Warrior Son wtf

+Arc Kocsog this is correct

+Arc Kocsog The only reason for that is to make profit for the casino. When you bet on even, and it's correct, you get to double your money. But there are 18 even, 18 odd and one zero on the board IIRC (37 possible outcomes in total). So if you put M euros on it, the average amount you get back is: (18/37) * 2M + (19/37) * 0 = 36M/37. So on average, you always get less back than you put into it, and the 1/37 left over is the profit for the casino. Another way to visualise it: say there are two persons gambling, one always puts €10 on even, the other puts €10 on odd. For most runs, the result would be even or odd, and the casino wouldn't gain or lose anything. But for on average 1 in 37 runs, the outcome will be a zero, and the casino will get the complete pot of that run. The only way to win with the roulette, is to not play it often. When you play it only a few times in your life, the final result will not get the chance to average out (and hopefully to your advantage).

***** He even said "Al-Khwazimi." Which sounds... weird.

namn Just to add that we have "Algebra" thanks to his works in this field and unknowns (he'd call them Filān_x_ and Bahmān _y_) in his book Ilm al-jabr wa'l-muḳābala.

The persians found out a lot of things of todays science

Shashank Jaiswal well, khwarizmi didn't claim to invent anything. but instead his book was an in depth study that used greek, indian, and babylonian mathematics and *built on it with his own techniques.* also, while only certain rules of quadratic equations were defined in india and greece, it was his book that clearly brought together the knowledge and set the foundation for what we have today.

Shashank Jaiswal the real hero is omar khayyam

The 1 Realm of Retro! hi

??

The 1 Realm of Retro! Hey How is it going?

Yup.....

Yes!

Technically called unsigned.

or has both signs

Cody Griffin it is most certainly not called unsigned

Mark Stump I think you mean 0 is congruent to 2 (mod 2), as congruence works like this, if a mod c = b mod c then a is congruent to b (mod c). You are right in saying 0 is congruent to 0 (mod 2) but it is also congruent to 0 (mod 3) or 0 (mod 5) etc. Just wanted to let you know :)

Mark Stump Thank you for clearing up the misconception. I thought you meant if for all natural numbers x, if x is congruent to x (mod 2) than it is even. Now I see you meant if for all natural numbers x is congruent to 0 (mod 2) than it is even, which is correct. Although you could have made your definition even better by just saying if x mod 2 = 0 than x is even, which is the same as both your's and Brady's definiton. :) And I do think 0 is even because it is a multiple of 2. Its kind of interesting to see whether people choose division or multplication to define even/odd numbers.

Jeevan Devaranjan It's the same congruence class and the same set of integers! Still, you had me worried for a few seconds: I'm old and senile, but I know how it works. I'm saying if "a" is congruent to 0 mod 2, it's even. (My proposed definition) If you think this definition fails, show me an "a" that is congruent to 0 mod 2, but isn't even... or show me an even number that is not congruent to 0 mod 2. I said nothing about congruency to 0 mod 3, 4 or 5... if we did have the word "threeven," of course I'd want a similar definition and I'd want to include 0 again...so it'd be even AND threeven. This doesn't bother me; I don't think it should trouble you. Surely you don't think 0 should be considered throdd!?

Null as implemented in many programming languages doesn't mean nothing. It means (essentially) "I don't know". That's why nulls propagate. A simple example: If I say "1 plus something equals what?" You'd probably ask "What is something?". I'd shrug my shoulders and you'd then say. "I don't know." 1 + NULL = NULL. Multiplying or dividing by 0 is a bit trickier though so the explanation isn't as clean as this.

Because the explanation is what people are interested in.

Is x even?

Not sure how 'nembers' got spelled that way, or why the comment did not post completely. No worries. Keep up the great work

All you've done is advertise that you're an idiot who clicks on videos that address things you already know.

+EGarrett01 No, I click on Numberphile videos because they're interesting. You just called yourself an idiot by not understanding that obvious fact.

+EGarrett01 Why not? He also said if you add up positive integers you end up with -1/12. Now one more insult from you and I'm going to report you which might lead to termination of your Google account. In other words: shut up!!!

Now that I've pissed in your cheerios, buh-bye.

+EGarrett01 Well that was a pleasant conversation.

+Bloodbath and Beyond What is this? I don't even.

Of course

+Strzelba Stian I can't even

Don't be a zero, get even!

He is referring to an even "number". 0 is an even number. 0 is also considered to be both "even and odd function".

clickhead please dont

Ecto Don't even what?

CLICKHEAD PLEASE DONT

***** But why can't I even? D:

that's very odd

0 is between 1 and -1 , which are odd, so 0 is even.

Also, 0/2 has no remainder. Odd numbers divided by 2 have a remainder. 0 has to be even then.

Yes, he is referring to an even number.

I'm with you on that. It's hard to pin qualities on nothing.

You're kidding, right?

I know your comment is a joke. But no, it is not a joke that only integers can be even or odd.

Ice what you dis there ha.. ha

They are both to zero. The contradiction here is when you divide 0 by 0 since it's indeterminate. Anytime when you divide by zero, it is always undefined. Both of these statements when you get into calculus can be used in terms of limits. 0/0 is one of the indeterminate forms where you have to do more work using either algebraic method or l'Hopital's rule. 1/0 may have the limit to no exist or going to positive or negative infinity depending on the function assigned.

*right

He made a video explaining how 1 isn't prime

What is the Roman numeral for zero, BTW?

3+(-3)=0

@@rohitkunvar8881 wait what

Yes, simple. Are you familiar with the Monty Hall Problem ?

φ First-order logic No.

φ First-order logic How different are religions and institutions that enforce them?

Martin Gardner My question's still valid.

Martin Gardner I was asking if people tend to have the same attitudes as a church holding the same beliefs.

φ First-order logic Agreed. How about Baptist churches? They're underdogs?

+Martin Kunev Because it has no value.

+Brandon Boyer 0 definitely has a value. If it wouldn´t, then it wouldn´t be defined as a number since every number has a value. Compare with for example 1/0. 1/0 has no value because its undefined.

Bengt Bengt Do you even know anything about the basic history of numbers? A very long time, numbers weren't necessary for their basic lifes, but as time went on farmers could have been counting his cattle with tallys, and then civilizations started to use much more complex systems. One of them realized that to say that they had no cattle or no money, they would have to use the number 0. Some parts of the world didn't accept this because they thought the people who made it up ( I think Indians) were Arabic, and were their enemies at time, so Europe and some other places didn't use 0. The Greeks didn't use 0 because they didn't feel as if they needed it. 0 really does mean 'nothing' It's closes to nothing you'll get to. Btw I know this because I read a book about the history of mathematics.

Brandon Boyer The arabic numbers were invented in India but came to Europe through the arab world. Europeans thought they are somehow evil because they came from the arabs and it was too easy to change the number drastically (falsify it) by adding a zero. Fibonacci was one of the main supporters of the numbers and popularized them in Europe. Hundreds of years ago people had difficulty understanding the concept of 0. I doubt any person without intellectual disability today will have trouble understanding it.

Yeah I never heard of that.

You gotta have sumthin, if you wanna be with me.

At Billy's funeral, one of the tires fell off the hearse. It went round in circles.