Is Zero Even? - Numberphile
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- เผยแพร่เมื่อ 1 ธ.ค. 2012
- A bit about zero - including a discussion of its even-ness!?
More links & stuff in full description below ↓↓↓
Featuring Dr James Grime ( / jamesgrime ) and Professor Roger Bowley (University of Nottingham).
NUMBERPHILE
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My bank account is even. It sounds better than saying you're broke.
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.
"I want to buy no sheep, I'll give you no pounds"
That's the old school version. The 2000s version is "I want to buy no sheep, I'll give you no pounds plus a 10 pound processing fee".
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.
The lack of ink in the marker deeply disturbs me
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.
I remember as I child someone in school told me that there are numbers less than zero, and I almost didn't believe them. They said "yeah, they're called 'negative numbers'" and I was in shock
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 once bought 0 sheep for 0 pounds. It made no sense, but it worked!
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
So zero is even. If you think zero is not even, then I cannot even, because that is too odd to believe.
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
0:01 me on my maths results day
Looooool😂😂
underrated comment !
"0. That's our friend."
Same
[Insert sad violin music]
Hello Zero, my old friend.
One, is the loneliest number
0. Thats our friends
0 thats our friends
Points give you friends
This is the first time I've heard a bunch of Brits use the word "zero" so often. Usually, I hear "nought"
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.
Magic the Gathering players: I've been training my whole life for this moment.
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)
Question: Is zero even?
Answer: No, it’s naught.
*nought
shut up, dad
i'm gonna give u pun-ishment
Makarputo
One of the best jokes i've read👍
You don't have to use a telescope to film your videos
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.
I thought 0 being even was common knowledge? And I'm awful at maths.
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.
I find it odd that we are even talking about this.
+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
"Is zero even … a number?"
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
I wouldn't have a delayed reaction if someone asked me if zero was even, and this video helps me be even more sure about my answer. - But I might be the odd one out.
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?
When he mentioned Divide by 0, I immediately imagined a spread sheet covered in #DIV/0!
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
I have $0. Must be the devil's work.
this must be the work of an enemy stand
Lol
Not even odd at all.
Brady's logic to even numbers, if they're round. So let's list them:
Even numbers; 0, 3, 6, 8, 9
Odd numbers; 1, 4, 7
2 and 5 are both odd and even; Odven? Evedd?
Neutral numbers
8 is even EVEN..
@@akberjag even Steven
I honestly always thought zero was even because of when I was like six and we would line up in pairs at school, I concluded that zero was even because odd numbers always have someone left out with pairs, but even numbers don't, and since 0 doesn't have anyone left out it must be an even number.
Now that can just be said as "divisible by two"... I love the way my brain worked
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. :(
I found it odd to call 0 even
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*
This is such a great video, I can't even!!!
I like the format of this and the root 2 video. Two different presenters giving different talks about the same topic, interwoven.
that makes zero sense
+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 feel like the answer is no but it feels like it is because it's round"
Secretly, we all feel the same way
I love these videos. They make my brain hurt, yet I somehow understand them...
Thank you for not overwhelming me in this discussion!
If you have nothing, nothing it is, but something put in front of nothing makes something that has nothing behind it.
Another thing you could say is that two odd numbers added together will make an even number, but when adding zero to an odd number it remains an odd number
For base 10: Every number with an even digit in the ones place is even. Every number with an odd digit in the ones place is odd. Every number with a zero in the ones place is even. QED zero is even.
Loved how to topic progressed from
Is 0 even a number?
to
Is 0 an even number?
Is zero even what??????????
It's 3 am and I haven't slept in a day
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
1 2 4 8 7 5 what do these have in common? what does 3 and 6 have in common? and why is 9 the only number that always reduces back to 9 from multiples of it self? ie 9x4 = 36 3+6=9 or 9x52743=474687 4+7+4+6+8+7=36 3+6=9.
Amazing video
Bubbleonians.
There are many reasons to love Numberphile, the accent is one of them. Thanks for explaining
Does zero even even?
CowLunch No!
CowLunch Eventually maybe
+CowLunch do you even even bro
+CowLunch That's Odd
Well, I've never read it.
0 is one less than a non-even number. Ergo it has to be even. Wheres my nobel prise.
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.
THANK YOU! I tried every limited thing I knew about zero and even nembers on my 4th grade teachers, yet not one of them agreed...with the definitions they had just introduced to me.
Halfway thru the vid & I'm on Gibraltar.
Yet a bit worried about the next half
Not sure how 'nembers' got spelled that way, or why the comment did not post completely.
No worries. Keep up the great work
I asked people that question a few times... this made my brain stop for a moment.
Zero is a representation of nothing. But nothing can be something with something in front of it.
Slightly at a tangent, grammatically-speaking zero is plural. Consider -
"There are two cups on the table" - Plural
"There is one cup on the table" - Singular
"There are no cups on the table" - Back to plural
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.
I am so relieved at the outcome of this
"There was no need for a shopkeeper to invent the number 0". so how would a typical shop conversation go when there weren't any of an item being asked about? like this?
me: How many cows do you have?
Shopkeeper: potato
.... wat
*draws a wide circle*
"Zero!"
...
You what?
It's a 0 on its side.
Zero literally can't even
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
I'm glad numberphile videos aren't edited like this any more
Listening to James say "keeping track of the number of flowers..." makes me think his voice would be ideal for narrating children's books.
My favorite number is 8 because it can be divided physically and mathematically, and can be cubed
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.
Just so y'all know, the word for "Fiveness" is quincunx.
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_
When i saw the title, just thought "is zero even, WHAT ArE YoU HiGh?" lol!
I like that they ended the video explaining the difference between 0 and NULL.
The ironic part is that the video isn't a goose egg! Everything in this computer reality is all based on 1's and 0's. Binary. Nice bit of history there. Thanks.
In casinos, 0 is neither odd nor even.
+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).
that sound from marker writing on that thick sheet is so crkhdiahvsing
6:13 it would make more sense to me if he finished by saying "nothing is when there's nothing to count - zero is the absence of something"
nice one, clever
I can't even
clickhead please dont
Ecto Don't even what?
CLICKHEAD PLEASE DONT
***** But why can't I even? D:
that's very odd
i dont understand much about math, but i think looking at the numbers that even number is a number between two odd numbers.. so 1 and -1 are odd.. 0 must be even :)
Thank you I was gonna say that
This was my thought as well.
three people that didn't bother to watch the entire video?
What ever number/counting/completion system you use, zero is always the higher receiver in the system, while it's higher emitter/receiver completon changes as we change our counting system.
(Completion - the digital sum of all the numerical elements in the number system.
Completon - two numbers, one of each type(emitter and receiver/odd and even) that add up to make the completion.)
After all these years, having first watched this video in elementary school, I have finally learned why zero is even in my college discrete mathematics course.
Zero is infinitely zero.
The 1 Realm of Retro! hi
??
The 1 Realm of Retro! Hey How is it going?
can you guys explain the fundamental maths on sin, tg, cos and ctg?
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.
I never get to finish my math homework and I literally have never gotten higher than a C for math. Yet I do like to watch these videos
Plot twist : they were explaining that "is zero, even a number".
Splendid! Now teach me how to divide by zero! ;)
+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.
1 is odd, 1 + *2* = 3
3 is odd,
and...
2 is even, 2 + *2* = 4
4 is even,
so....
2 - *2* = 0
simple theory :)
1:50 a little correction, Al Khorezmi was the founder of modern Algebra and algorithms. The word Algebra is taken from this scholar, and he was not from North Africa, he was from Central Asia. Khorezm, which is currently in the territory of Uzbekistan.
Came here the guy who believes books came from SKIES
Another great video thank you 👍
I fail to see the problem. I didn't need a split second: yes, zero is even.
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.
...but CAN zero even?
Yes, he is referring to an even number.
is there a connection between the problem that comes from dividing by zero , having zero to the power of zero etc and the quantum uncertainty principle or other such quantum difficulties?
I enjoy your videos. If zero is neither positive or negative, can it also be said that it is equally positive and equally negative?
My friend asked me one time "What is one of the greatest discoveries?"...of course..I said electricity(which is an obvious one)...he then tripped me out with the discovery of zero...what is great irony w/ zero is even though by itself zero = nothing...put it next to a 1 - 9 #...and it makes its sum larger...that is the best case of irony I can think of...
I've always seen zero as "genderless," unless a larger number ends in zero. Then the zero makes that number even.
They had to invent the concept of zero, in order to describe the skill of the cameraman who filmed this.
1:38 I thought it was Aryabhatta
Well, zero IS congruent to 0 Mod 2, which would be my definition of "even." :)
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!?
Wait so is zero even?
+( ͡° ͜ʖ ͡°) After that whole video that comment made me smile
I don't EVEN know.
+( ͡° ͜ʖ ͡°) Zero is what it is....and no body know what it is
zero is an even...
+I Tolerate Everything Liked this comment for your name.
It would be interesting if you discussed how the Romans viewed zero and how they did calculations. I know they used the abacus, but what about paper calculations?
What is the Roman numeral for zero, BTW?
I like how the title of this video is gramatically correct
Is zero even what?
+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".
Al-Khwarizmi (or Al-Juarismi) was not established in North Africa: he lived and worked in Bagdad in the IX century and is mostly famous for his compilations and contributions to Algebra (he gave its name to this branch of maths) and Arithmetics among others.
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
If you divide by n such that n is a divisor and n approaches zero, you can only take the limit of that expression. For example, the limit of (x^2 - 1)/(x + 1) as x approaches -1 is - 2.
I always thought it was obvious that 0 is even, if you have an even number and subtract/add 2 your new number will also be even, so if we start at 8 which is even, then subtract 2 = 6 (even), subtract 2 = 4 (even), subtract 2 = 2 (even), subtract 2 = 0 (even?)
CORRECTION:
al-khwarizmi was from modern day uzbekistan (then part of persia), and he did his studies in baghdad
***** 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
Does the church ever mind its own damn business?
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?
“0. Thats our friend” it’s also the NUMBER of friends that I have
This was literally a question on my test
Did you pass?
It was considered to be even, and I got it right. But after a whole lot discussion in class after the test, I think they gave the others half a point.
Not positive nor negative. Neutral?
Yup.....
Yes!
Technically called unsigned.
or has both signs
Cody Griffin it is most certainly not called unsigned
Numberphile, what are you doing to my life?
Dr. James Grime can get itttt
I saw this question and was prepared to fight someone, luckily they agree with me
As a biologist, Here is how I see it. Even things means in pairs, like your ears, you have a pair of ears, or feet. If you can write a number as equal parts in digits. 12 can be written as 6+6. 2 can be written as 1+1. For 0, it is not a a pair of something; in my arrogant opinion, you cannot have 0 pairs. Thus, 0 is not an even number.
Zero is even! Just look at the reminder text of Void Winnower! (MTG Joke)
wow
Please don't explain the reference when making geeky jokes. The whole point of it is to make it funny only for those that are worthy.
Answer at 1:25
Everytime I watch a Numberphile video, it feels like I'm watching an episode of The Office, and I don't know why
You should make a video about 1 being neither composite nor prime. (Don't know if I said it write)
*right
He made a video explaining how 1 isn't prime
3:47 That is such a satisfying sound.
Think of Zero as a mathematical fulcrum and it begins to make sense: the transition point between negative and positive numbers certainly exists, in that one might even model it in this way, but it is not of either realm in any real sense. As such, Zero’s adherence to rules can only be described through unusual behaviors, some of which have no finite boundaries. Understanding Zero and all that it does and doesn’t mean further helps in understanding Nil (or Null), which is the absence of even the concept of a given thing. Nil is like removing the foundation upon which counting MIGHT occur, whereas Zero has that foundation yet does not make use of it.
It's netrual when referring to positive or negative but even since you can distribute nothing to an infinite amount of people
I think that's the whole deal with communism...