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?
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.
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.
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.
Also, algebraically, an odd number is a number that gives a whole number when doubled and minus or add 1: 2n-1 is odd, and so is 2n+1 Let's say, for 0 to be odd 2n - 1 = 0 2n = 1 n = 1/2, but because n in this case isn't a whole number, in fact halfway between, 0 can't be odd, so is even. Moreover, using the same calculation, an even number will always be something and a half, for example 2n - 1 = 2 2n = 3 n = 1 and 1/2 2n + 1 = 10 2n = 9 n = 4 and 1/2
Yes, it's the ultimate even number. Zero is the most important number in mathematics. It's the origin of the Universe. The here and now. The center of future and past. The only spot in the universe we can be absolutely sure about and we're always right in the middle regardless of where we think we are.
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.
One might say that 0 is the "most composite number" so to speak: divisible by any power of prime p, for any p. Note that 0 is not a composite number, as it has no factorization.
Exactly, there's no point dividing zero by anything. If you read 0/2 = 0 it says nothing devided by two makes nothing. If nothing is divided, then there's no division.
I say yes it is an even number as well, numbers follow an even then odd pattern , any number multiplied by an even number would be an even number, any number multiplied by zero is zero
That bald guy knows little about the history of math: he says that zero was banned by the catholic church because it was introduced by the time of the crusades, ignoring the well known fact that Pope Sylvester II (also known as Gerbert of Aurillac) himself introduced the arabic numerals in Europe (forcing the clergy to use them) more than 160 years before Leonardo de Pisa was even born. Also, Gerard of Cremona and Robert of Chester translated al-Khwarizmi's works several decades before the birth of Fibonacci. The first crusade started in 1096, when the decimal system had been already in use (not by everybody of course) for amost a century. Fibonacci was important in popularising this decimal system but was not the first and not the only (apparently merchants who dealt with the arabs were at least as important as intellectuals in getting used to the new system and importing it into Europe). I don't know what happened later but those stories about zero being banned in Florence seem to be related to local government and not the higher authorities of the Church (in which case it would have been banned in Rome or Avignon instead), i've also read that it was banned because of the novelty of the system which lead to suspicions of fraud and speculation. I don't know about that but all i can say is that Fibonacci is important enough to need any help from people adding legendary merits to his legacy. Fibonacci's Liber Abaci by the way does mention zero which he calls zephir (probably contributing to giving it its modern name) but wasn't a translation of somebody else's work though he acknowledged the contribution of arab and persian mathematicians to his own learning. I want to point out also that Fibonacci called the arab numerals "indorum" in that book, this means indian numbers not arabs, and we can find them called indian in many other old books and manuscripts, so it wasn't like everybody simply ignored that they came from India rather than from northern Africa. Also Al-Khwarizmi was persian, not from North Africa (though he was famous all across the muslim world so it was easy to learn about him while being in Egypt or Morocco).
+Masturboy84 You should look up independent accounts before jumping to the defense of the Catholic Church. Copernicus, Galileo, and hundreds of thousands of "witches" later, and you still can't accept it has never been a front-runner on anything useful in society. I hate to say Wikipedia, but you should look it up before saying religious folks didn't try to ban 0.
All i am defending is an informed exposition of historical data which is something this video lacks. I know very well Galileo's life and also Copernicus' but i don't understand why you mention the latter since he was never prosecuted by the Church (the same institution that he belonged to). And even if he was that doesn't change any of what i've said about the history of the decimal system, which is what this discussion is about (we're not talking about astronomy). If you want to discuss my statements about the story of the use of the arab numerals please provide reliable sources that show me i'm wrong to say Fibonacci wasn't the first to introduce them into Europe or any of the other points i'm trying to make.
Right: the history of Arabic numerals and the Church that Roger Bowley offers is complete BS: the Church never called them evil and they were introduced in Europe a couple of hundred years before Fibonacci. Wikipedia mentions nothing like what 'smurfyday' implies, and I asked a professional historian of mathematics about it and he said, "Yes, complete BS."
Also, (I think it is Roger Bowley... not sure where I got his name, though) can't even be bothered to get auxilliary details right: the book he mentions was by al-Khwarizmi, not al-Khwazimi, and he was Persian, which is fairly far from "North Africa."
I might've reacted late, but I can already tell why 0 is an even number, want to know why? 0 is between -1 and 1 like this -1 0 1 So now you see negative - positive - positive and how do I know that? It doesn't show -0 so that means it isn't negative :D
Zero is very even and not at all odd, but both positive and negative. I'm working on a number which is both positive and negative but only odd and not even, but it's not ready for publication yet.
Instead of abstract, I prefer to call it a mechanical necessity. No matter how intangible it may seem. That I not fall into the bottomless pit the abstract.
Not.. Really "The place-value system, first seen in the 3rd-century Bakhshali Manuscript, was clearly in place in his work. While he did not use a symbol for zero, the French mathematician Georges Ifrah argues that knowledge of zero was implicit in Aryabhata's place-value system as a place holder for the powers of ten with null coefficients."
Id put 0 and Infinity together. You can give someone nothing and still have the exact same amount of nothing, you can give someone an infinite amount of something and still have an infinite amount
Zero doesnt adhere to one unspoken rule for even numbers, namely that it is a number in the first place. Zero is an absence of any numbers. 10 for instance is no sets of single numbers and one set of 10's. The space in babylonian math for instance helps to demonstrate this but another way of thinking is numbers count how many of something there is, 0 is a symbol representing none. If it isnt a number it cannot be an even number.
0 is even and part of the row of 3. Proof: Every number multiplicated 3 times and added 1 (3n+1) has the digit root 1 if it was part of the row of 3. If it wasn't, it has the digit root 4 or 7. Giving the fact that the row of 3 switches between even and odd, 0 has to be even.
Even before Brahmagupta, another Indian Aryabhatta had given the idea of zero(nothingness) Brahmgupta was the first to lay down the rules of zero Like N+0=N N-0=N N×0=0 N÷0= infinite
proof by contradiction: let's assume that zero is an odd number 0=2n+1 then transpose 1 to the other side and you will get 1=2n then n must be equal to 1/2 and contradicts the auusmption that 0 is an odd number then 0 must be even, because an odd number can be expressed as 2 multiplied to a whole number(and ncludes 0) +1 and we cant express zero like that
Zero didn’t make much sense before the advent of negative and imaginary (complex) numbers. In other words, zero had very little (if any) application, before algebra was envisioned. Nowadays: no zero, no mathematics. I also admire zero because it knows no negativity, and it’s completely balanced on the karma scale. 😂
I may have missed the point, but what is 0x1? 0 divided by 1? That part of your explanation eluded me, I'm afraid. It would suggest to me that 0 is both even and odd. Or, neither even or odd ( which "feels" like the answer..) Thoughts, anyone? Also it would seem that even preliterate merchants would have some concept of zeroness: " How much for a sheep? They are one ducat each. I'll take five, please....here's a five ducat coin...how much change might I expect? Zero, of course" That seems numerical, doesn't it?
(@1:35): Didn't the Maya or Aztec Indians (or some other Meso-American empire or people group) have a concept for 0? I believe they had a base-20 counting system, and the symbol for zero also doubled for multiples of 20 with each multiple of 20 having a different secondary symbol or mark associated with it in order to differentiate them from one another. Is my memory accurate?
"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".
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.
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
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.
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
@@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.
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
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.
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?
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.
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.
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
@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”). 😅🇫🇮
@@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. :(
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?
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.
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
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
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 :)
+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).
(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.
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!?
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.
0:01 me on my maths results day
Looooool😂😂
underrated comment !
If you have nothing, nothing it is, but something put in front of nothing makes something that has nothing behind it.
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?
Zero is a representation of nothing. But nothing can be something with something in front of it.
...but CAN zero even?
Yes, he is referring to an even number.
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
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.
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
Also, algebraically, an odd number is a number that gives a whole number when doubled and minus or add 1:
2n-1 is odd, and so is 2n+1
Let's say, for 0 to be odd
2n - 1 = 0
2n = 1
n = 1/2,
but because n in this case isn't a whole number, in fact halfway between, 0 can't be odd, so is even.
Moreover, using the same calculation, an even number will always be something and a half, for example
2n - 1 = 2
2n = 3
n = 1 and 1/2
2n + 1 = 10
2n = 9
n = 4 and 1/2
Top 3 things that science can’t explain 3: Black holes 2: Bermuda Triangle 1: Old RUclips videos that are recommended to me
Yes, it's the ultimate even number. Zero is the most important number in mathematics. It's the origin of the Universe. The here and now. The center of future and past. The only spot in the universe we can be absolutely sure about and we're always right in the middle regardless of where we think we are.
It’s like asking whether infinity is odd or even
No. It's not. You can use math operations to get to zero, but you can't use math operations to get to infinity.
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.
One might say that 0 is the "most composite number" so to speak: divisible by any power of prime p, for any p. Note that 0 is not a composite number, as it has no factorization.
Exactly, there's no point dividing zero by anything. If you read 0/2 = 0 it says nothing devided by two makes nothing. If nothing is divided, then there's no division.
Listening to James say "keeping track of the number of flowers..." makes me think his voice would be ideal for narrating children's books.
Numberphile, what are you doing to my life?
I say yes it is an even number as well, numbers follow an even then odd pattern , any number multiplied by an even number would be an even number, any number multiplied by zero is zero
0:"I cant even"
odd*
Imagine if you came up to a medieval shopkeeper and said "i want to buy no sheep heres 0 coins"
This is such a great video, I can't even!!!
That bald guy knows little about the history of math: he says that zero was banned by the catholic church because it was introduced by the time of the crusades, ignoring the well known fact that Pope Sylvester II (also known as Gerbert of Aurillac) himself introduced the arabic numerals in Europe (forcing the clergy to use them) more than 160 years before Leonardo de Pisa was even born. Also, Gerard of Cremona and Robert of Chester translated al-Khwarizmi's works several decades before the birth of Fibonacci. The first crusade started in 1096, when the decimal system had been already in use (not by everybody of course) for amost a century. Fibonacci was important in popularising this decimal system but was not the first and not the only (apparently merchants who dealt with the arabs were at least as important as intellectuals in getting used to the new system and importing it into Europe). I don't know what happened later but those stories about zero being banned in Florence seem to be related to local government and not the higher authorities of the Church (in which case it would have been banned in Rome or Avignon instead), i've also read that it was banned because of the novelty of the system which lead to suspicions of fraud and speculation. I don't know about that but all i can say is that Fibonacci is important enough to need any help from people adding legendary merits to his legacy. Fibonacci's Liber Abaci by the way does mention zero which he calls zephir (probably contributing to giving it its modern name) but wasn't a translation of somebody else's work though he acknowledged the contribution of arab and persian mathematicians to his own learning. I want to point out also that Fibonacci called the arab numerals "indorum" in that book, this means indian numbers not arabs, and we can find them called indian in many other old books and manuscripts, so it wasn't like everybody simply ignored that they came from India rather than from northern Africa. Also Al-Khwarizmi was persian, not from North Africa (though he was famous all across the muslim world so it was easy to learn about him while being in Egypt or Morocco).
+Masturboy84 You should look up independent accounts before jumping to the defense of the Catholic Church. Copernicus, Galileo, and hundreds of thousands of "witches" later, and you still can't accept it has never been a front-runner on anything useful in society. I hate to say Wikipedia, but you should look it up before saying religious folks didn't try to ban 0.
All i am defending is an informed exposition of historical data which is something this video lacks. I know very well Galileo's life and also Copernicus' but i don't understand why you mention the latter since he was never prosecuted by the Church (the same institution that he belonged to). And even if he was that doesn't change any of what i've said about the history of the decimal system, which is what this discussion is about (we're not talking about astronomy). If you want to discuss my statements about the story of the use of the arab numerals please provide reliable sources that show me i'm wrong to say Fibonacci wasn't the first to introduce them into Europe or any of the other points i'm trying to make.
Right: the history of Arabic numerals and the Church that Roger Bowley offers is complete BS: the Church never called them evil and they were introduced in Europe a couple of hundred years before Fibonacci. Wikipedia mentions nothing like what 'smurfyday' implies, and I asked a professional historian of mathematics about it and he said, "Yes, complete BS."
Also, (I think it is Roger Bowley... not sure where I got his name, though) can't even be bothered to get auxilliary details right: the book he mentions was by al-Khwarizmi, not al-Khwazimi, and he was Persian, which is fairly far from "North Africa."
@@smurfyday "hundreds of thousands of "witches"" It was thousands, and they were almost all burned by Protestants.
Asking the question is zero even is like asking the question is infinity even.
I might've reacted late, but I can already tell why 0 is an even number, want to know why?
0 is between -1 and 1 like this
-1 0 1
So now you see negative - positive - positive and how do I know that?
It doesn't show -0 so that means it isn't negative :D
Zero is very even and not at all odd, but both positive and negative. I'm working on a number which is both positive and negative but only odd and not even, but it's not ready for publication yet.
my definition of an even number is: y is an even number if and only if there exists an integer x such that y=2x. Thus 0=2*0
Instead of abstract, I prefer to call it a mechanical necessity. No matter how intangible it may seem. That I not fall into the bottomless pit the abstract.
Before watching this video, my logic was Even+Even=Even, Odd+Odd=Even, Odd+Even=Odd. 0+0=0, 0+1=1. 1=Odd, therefore 0=Even
It was not Brahmagupta, it was Aryabhatta who discovered zero..
Not.. Really
"The place-value system, first seen in the 3rd-century Bakhshali Manuscript, was clearly in place in his work. While he did not use a symbol for zero, the French mathematician Georges Ifrah argues that knowledge of zero was implicit in Aryabhata's place-value system as a place holder for the powers of ten with null coefficients."
The Mayas "invented it"
Nope. It’s Bramhagupta, common misconception.
No it is kannan Dinesh during the 900bce
Well, zero isn’t odd because there is no integer solution to 2n+1=0, where 2n+1 is the definition for an odd number.
Id put 0 and Infinity together. You can give someone nothing and still have the exact same amount of nothing, you can give someone an infinite amount of something and still have an infinite amount
then walks along computers with the concept of +0 and -0 being different values.
the empty pizza box problem, no pizza, no slices
Do you even zero, brah? Ok, i had to say it.
The number zero does have a use in commerce: to show that a debt has been paid in full, you write 0 for the balance.
So the t-shirt can say ”1 is not prime but zero is still even.”
Zero doesnt adhere to one unspoken rule for even numbers, namely that it is a number in the first place. Zero is an absence of any numbers. 10 for instance is no sets of single numbers and one set of 10's. The space in babylonian math for instance helps to demonstrate this but another way of thinking is numbers count how many of something there is, 0 is a symbol representing none. If it isnt a number it cannot be an even number.
0 occupies an even place on the number line, so I consider it even
"I can tell you that zero, CATEGORICALLY, is an even number." It is NOT. You can't divide zero by itself and get 1.
0 is even and part of the row of 3.
Proof: Every number multiplicated 3 times and added 1 (3n+1) has the digit root 1 if it was part of the row of 3. If it wasn't, it has the digit root 4 or 7. Giving the fact that the row of 3 switches between even and odd, 0 has to be even.
Maybe because I am not a mathematician, but zero being even is so obvious
"is zero even?"
*spends half the video asking if zero is real*
Even before Brahmagupta, another Indian Aryabhatta had given the idea of zero(nothingness)
Brahmgupta was the first to lay down the rules of zero
Like N+0=N
N-0=N
N×0=0
N÷0= infinite
Closure. It's important.
As "zero" when it appears at the end of any series of digits, makes that series even, "zero" is, if not certainly, at least honorarily, even.
nice one.
In base-10.* Take base-3 and it won’t work.
dudes, i feel to call shenanigans on this one
proof by contradiction:
let's assume that zero is an odd number 0=2n+1
then transpose 1 to the other side and you will get 1=2n
then n must be equal to 1/2 and contradicts the auusmption that 0 is an odd number
then 0 must be even, because an odd number can be expressed as 2 multiplied to a whole number(and ncludes 0) +1 and we cant express zero like that
But wouldn't 0 be a valuable number for cataloguing? So maybe one week you have 0 cows but next week you have 2. So basically for recording purposes.
It definitely is
I am watching this for entertainment.
I'm not sure. But it is a common pattern on my calculus exams.
Anyone hate people who use the LETTER O in place of Naught or Zero - mainly in speech.
quadratic formulae was also discovered by the ancient rishi of India Sridhar Acharya
Zero didn’t make much sense before the advent of negative and imaginary (complex) numbers. In other words, zero had very little (if any) application, before algebra was envisioned. Nowadays: no zero, no mathematics. I also admire zero because it knows no negativity, and it’s completely balanced on the karma scale. 😂
Is zero even a number?
I may have missed the point, but what is 0x1? 0 divided by 1? That part of your explanation eluded me, I'm afraid. It would suggest to me that 0 is both even and odd. Or, neither even or odd ( which "feels" like the answer..)
Thoughts, anyone?
Also it would seem that even preliterate merchants would have some concept of zeroness: " How much for a sheep? They are one ducat each. I'll take five, please....here's a five ducat coin...how much change might I expect? Zero, of course"
That seems numerical, doesn't it?
Zero is even
Yes it is, zero is even, unless someone can disprove that!
all what you said for zero and even numbers applies to odd numbers too, 0 can be devided by 3...
Two is the oddest prime.
So does the green 0 count as an even in roulette? Think I'm on to a winner here
(@1:35): Didn't the Maya or Aztec Indians (or some other Meso-American empire or people group) have a concept for 0? I believe they had a base-20 counting system, and the symbol for zero also doubled for multiples of 20 with each multiple of 20 having a different secondary symbol or mark associated with it in order to differentiate them from one another. Is my memory accurate?
>>> def is_even(num):
>>> return num % 2 == 0
>>> is_even(0)
True # Yeah, looks even.
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 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.
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
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
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*
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.
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 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.
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👍
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.
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
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.
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)
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.
I have $0. Must be the devil's work.
this must be the work of an enemy stand
Lol
Not even odd at all.
"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
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.
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
"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
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
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.
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. :(
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
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_
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.
"I feel like the answer is no but it feels like it is because it's round"
Secretly, we all feel the same way
*draws a wide circle*
"Zero!"
...
You what?
It's a 0 on its side.
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
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?
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 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?
Can you translate this in a third grade fashion ?
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.
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).
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 :)
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 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
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!?
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".
Not positive nor negative. Neutral?
Yup.....
Yes!
Technically called unsigned.
or has both signs
Cody Griffin it is most certainly not called unsigned