No video

What is Zero? Getting Something from Nothing - with Hannah Fry

  Рет қаралды 435,528

The Royal Institution

The Royal Institution

Күн бұрын

Is zero really a number? How did it come about? Hannah Fry tells the story of how zero went from nothing to something.
Subscribe to our channel for weekly science lectures and short films: bit.ly/RiSubscRibe
Help translate this film: www.youtube.com...
Once upon a time, zero wasn’t really a number. Its journey to the fully fledged number we know and love today was a meandering one. Today, zero is both a placeholder, and tool, within our number system signifying an absence of a value, and as a number in its own right.
But it wasn’t always seen as that, and it still doesn’t act quite like other numbers. Can you divide by zero, for example? Hannah Fry explains how zero came about, from its origins in ancient civilisations, through the resistance it faced from the Roman numeral system, to being the cornerstone of calculus.
Watch more of our lovingly crafted animations about science and maths here: • Ri Animations
And if you enjoyed this video, subscribe: bit.ly/RiSubscRibe
The Ri is on Twitter: / ri_science
and Facebook: / royalinstitution
and Tumblr: / ri-science
Our editorial policy: www.rigb.org/ho...
Subscribe for the latest science videos: bit.ly/RiNewsle...

Пікірлер: 435
@YEdwardP
@YEdwardP 5 жыл бұрын
Can we take a little moment to appreciate the fact that they numbered their chapters beginning with zero (which is common in computer science, but not in every day life) and numbered the chapters in binary, just so they could better show off zero?
@davidvaldes3456
@davidvaldes3456 Жыл бұрын
"0 is the absence of a value" how then could a chapter be represented as 0? Its great intention but it needs to beigin at 1 . Zero should only be used if there are no chapters. 0 chapters, chapter 1 cant just be called chapter 0. Its not cute lol
@XtremiTeez
@XtremiTeez 8 ай бұрын
​@@davidvaldes3456you are correct.
@ankithmallya141
@ankithmallya141 4 жыл бұрын
As an Indian its proud to score 0 in exams.
@alien_girl900
@alien_girl900 Жыл бұрын
Or rather two 00s after 1 as if u score a single zero with no 1 in front of it then ur Indian parents would come with their chappals
@yashikakalsiyana9528
@yashikakalsiyana9528 Жыл бұрын
For u not for india
@rohandebbarma24
@rohandebbarma24 8 ай бұрын
​@@yashikakalsiyana9528yes
@shortmoviecliptadka
@shortmoviecliptadka 7 ай бұрын
l😊😅
@TheRoyalInstitution
@TheRoyalInstitution 8 жыл бұрын
A huge thankyou to the person who translated this video into Spanish! We like to think that mathematics is something of a universal language, but English is certainly not. If you can speak another language and want to help share this video with a wider audience, you can contribute subtitles here: kzbin.info_video?ref=share&v=9Y7gAzTMdMA
@TheRoyalInstitution
@TheRoyalInstitution 8 жыл бұрын
+The Royal Institution Merci, gracias and Спасибо to everyone who has submitted translations so far! We really, really appreciate it!
@TheRoyalInstitution
@TheRoyalInstitution 6 жыл бұрын
Our very first set of Hindi subtitles are here! धन्यवाद
@TheRoyalInstitution
@TheRoyalInstitution 5 жыл бұрын
Romanian subtitles now available too, many thanks!
@Doge00
@Doge00 Жыл бұрын
*Zero was actually invented in china later copied by others, Chinese kept secret of silk, number system, paper, printing stamp, and gun powder so it didn't come out* *Persian and arab traders spread it to others through silk route*
@LemonadeMouthSomebod
@LemonadeMouthSomebod 8 жыл бұрын
I recognised that voice right away
@thileepkumars
@thileepkumars 4 жыл бұрын
Who is she?
@nguyenthuthuy145
@nguyenthuthuy145 4 жыл бұрын
Absolutely
@smallsignals
@smallsignals 4 жыл бұрын
Hannah Fry ❤️
@xianthegaian4060
@xianthegaian4060 4 жыл бұрын
Are units only relevant in the created place?....... Is zero relevant everywhere?.. .. 0110: ok I'm nothing without you.
@amitkuswaha5082
@amitkuswaha5082 3 жыл бұрын
@@thileepkumars 9
@singhlasachin
@singhlasachin 6 жыл бұрын
Bravo!! This video is a work of art.
@smallsignals
@smallsignals 4 жыл бұрын
I could listen to Hannah Fry all day. Her accent is so charming and soothing.
@Qermaq
@Qermaq 7 жыл бұрын
Dr. Fry is so good at explaining :)
@afshankhatoon3112
@afshankhatoon3112 4 жыл бұрын
So your saying she's not good Well she is better than you
@peterdietrich8810
@peterdietrich8810 8 жыл бұрын
"Infinity isn't a number, it's a concept." FUCKING FINALLY! I SEE SO MANY PEOPLE USING IT LIKE IT'S A GODDAMN NUMBER AND IT BUGS THE SHIT OUT OF ME!
@elliotgale470
@elliotgale470 7 жыл бұрын
All numbers are concepts u boob, quit getting ur panties in a bunch
@peterdietrich8810
@peterdietrich8810 7 жыл бұрын
Sorry, let me rephrase that. Infinity isn't a variable. You cannot use it as a variable.
@elliotgale470
@elliotgale470 7 жыл бұрын
No I'm sorry, I don't know why I flipped out like that. I hate my job.
@gamerkits9697
@gamerkits9697 4 жыл бұрын
@@elliotgale470 numbers are defined while infinity is not defined. In real life anything that has a specific measurement is a number, while infinity has no specific measurement, therefore it's not a number.
@michaelrosenberg6528
@michaelrosenberg6528 7 жыл бұрын
How clever! The chapter numbers not only start at 0, but are in Binary!
@san-chil
@san-chil 3 жыл бұрын
Emptiness, void, nothingness and Shunya are deeply philosophical concepts that ancient Hindus gave considerable thought and importance. In Hinduism everything seems to have originated from a void or a point which eventually took the shape of a number 0. So in many ways Zero is also a concept and an idea even before it is a number.
@simranjoharle4220
@simranjoharle4220 5 жыл бұрын
Never seen a better video than this one!
@danielwynn9736
@danielwynn9736 4 жыл бұрын
Brilliant! Absolutely mind blowing video! Shoutouts to the creators who made this! I was absolutely blown away! I had the same problem of deviding by zero in a world where zero literally can be more that a negative and less than 1. Zero is fascinating and this video absolutely peaked my interest! I'll keep my crazy words here but you nailed it on this video and it's been a pleasure! Truly has! I might hit subscribe if you have more about this?
@Desipreneur
@Desipreneur 3 жыл бұрын
Ancient indians were so smart. And here we are, modern indians wasting our time running behind jobs instead of creating new jobs.
@pixels_are_best6218
@pixels_are_best6218 Жыл бұрын
Thank you Dr. Fry. This has been a great video to share with Year 5 as we have been looking at mathematics though history and its contribution to modern life. After looking at calculating with earlier number systems, I know that they appreciate zero much more now.
@Aerospacedu
@Aerospacedu 3 жыл бұрын
Brilliant and very aesthetically pleasing...my compliments.
@harshadeepbiswas846
@harshadeepbiswas846 4 жыл бұрын
Thanks for this beautiful upload, but I require a bit of enlightenment, if you please! I trust this video is primarily based on Charles Seife's 'Zero: The Biography of a Dangerous Idea'. Was a little flummoxed to find many a people attribute its invention to Aryabhata, when his book indeed says what you said, Professor Fry: many civilisations have invented a vague concept of zero on their own volition, but it was the Indian mathematician who popularised the same. On the other facet, the book emphatically affirms, which obviously sounds quite a logical claim, that it's none but Babylonians-people who hail from a place often regarded as the 'cradle of civilisation'-who invented the idea of zero. Is there a veracity in this claim, Professor Fry?
@RamenChan777
@RamenChan777 8 жыл бұрын
She's the best!
@WouterWeggelaar
@WouterWeggelaar 8 жыл бұрын
Binary chapter numbers, yay!
@juliloafers
@juliloafers 6 жыл бұрын
I Know!! It's so cool!
@afshankhatoon3112
@afshankhatoon3112 4 жыл бұрын
Looks like you love maths
@cosmicdance3740
@cosmicdance3740 4 жыл бұрын
Hinduism 'The birth place of current number system and number zero'.
@tomislavrastovac2127
@tomislavrastovac2127 8 жыл бұрын
Love the video love the host 10/10
@nostalgia63
@nostalgia63 3 жыл бұрын
Excellent video. Philochrony is the theory that describes the nature of time and demonstrates its existence. Philochrony establishes an analogy between zero and time thus arising the linear zero.
@ShavnamSultana123
@ShavnamSultana123 3 жыл бұрын
This video on ZERO is really commendable . May I please know the software that you have used to create this video as we are also planning to ceate one ? Thanks for this video. Please do revert back as early as possible .
@aurora123borealis
@aurora123borealis 8 жыл бұрын
Beautiful animation!!
@afshankhatoon3112
@afshankhatoon3112 4 жыл бұрын
I agree
@verdatum
@verdatum 8 жыл бұрын
I was going to comment that Hannah's voiceover work is fantastic, but I see that many other people have already mentioned it....I guess I've just commented it again anyway. Seriously RI, get her to do more stuff for you guys.
@roderickwhitehead
@roderickwhitehead 6 жыл бұрын
verdatum - I recognized her voice, instantly. Brady's fault!
@afshankhatoon3112
@afshankhatoon3112 4 жыл бұрын
That's so nice
@mohanish35
@mohanish35 2 жыл бұрын
It's very hard to find Westerners acknowledging the contributions of ancient Indians in Mathematics and Science. Thank you, Dr. Fry.
@DipakBose-bq1vv
@DipakBose-bq1vv 5 жыл бұрын
Zero was invented by Bhaskaracharya in Bihar, India in the 2nd century. Aryabhatta was in the 4th century.
@sampurnachakraborty8876
@sampurnachakraborty8876 6 жыл бұрын
thanks for all the information
@lumri2002
@lumri2002 2 жыл бұрын
I am amazed by ancient civilizations that did ease computations even without yet use of zero numerals - for e.g. Mesopotamian use sexagesimal numbers without zero place holders and Chinese use blank or no bead setting in counting rods and abacus. However, the later use of zero undeniably enhanced the number systems and math.
@LevyRobertLevy
@LevyRobertLevy 8 жыл бұрын
yay! this is all-round a lovely thing.
@debbyblaine3728
@debbyblaine3728 11 ай бұрын
Wonderful balanced insight into a complicated concept... Very helpful for helping to explain to my curious kid ❤
@AyushSingh-nd2iw
@AyushSingh-nd2iw 3 жыл бұрын
3:34 best line
@EmilyPetersSF
@EmilyPetersSF 10 ай бұрын
Such a beautifully-made video!
@gauravmshr
@gauravmshr 6 жыл бұрын
If you have one chicken and you divide it among nothing, you have everything that is there of it - the things you are aware of and can count, as also the things you are not aware of and so can not count. Everything is a concept, not a number.
@LightAndDark2763
@LightAndDark2763 3 жыл бұрын
Really? All numbers are concepts. That's why they're called "numbers".
@gauravmshr
@gauravmshr 3 жыл бұрын
@@LightAndDark2763 so number is a synonym for concepts? it's not.
@LightAndDark2763
@LightAndDark2763 3 жыл бұрын
@@gauravmshr No. All numbers are concepts, but not all concepts are numbers. This “not all concepts are numbers” rule allows infinity to be a number. Because after all, what do numbers do? Count things. We need infinity to count things too such as: How many numbers there are The length of an endless line How many decimal numbers exist between 2 and 3 How many digits there are in the decimal expansion of 1/3.
@gauravmshr
@gauravmshr 3 жыл бұрын
@@LightAndDark2763 verbosity won't help. you said 'that's why they are called numbers'. and haven't explained that.
@LightAndDark2763
@LightAndDark2763 3 жыл бұрын
@@gauravmshr Well, I just gave a very solid and undebunkable explanation of why infinity SHOULD be a number. That's all the proof most people need.
@supma331
@supma331 6 жыл бұрын
Whenever people ask why isn’t 1/0 infinity the answer always seems to be ‘infinity isn’t a number it’s a concept’. Well, isn’t maths as a whole a concept in itself? It just seems that people are bent on not getting infinity as an answer?
@abdallaahmed780
@abdallaahmed780 5 жыл бұрын
I believe 1/0 is infinity
@SatyaVenugopal
@SatyaVenugopal 5 жыл бұрын
The problem is that 1/0 could just as easily be negative infinity as well. When something can simultaneously be equal to multiple different things that aren't equal to one another, we've got a contradiction. That's kinda the point: 1/0 gives contradictory answers if we think about it in different ways. So 1/0 can't be infinity. It's undefined. (Within every day maths. Funky stuff happens when you go into funky maths.) What we can say is that if we divided 1 by ever smaller positive numbers (i.e. positive numbers that get closer and closer to 0 each repetition), the answers would tend towards positive infinity. And if we divided 1 by ever smaller negative numbers (i.e. negative numbers that get closer and closer to 0 each repetition), the answers would tend towards negative infinity. Also, when people say infinity isn't a number, it's a concept, that's a meaningful statement. All numbers are also concepts, but not all concepts are numbers. Infinity is one of the latter. If you really wanted to call it a number, it doesn't behave like any other number. If you add 1 to any number it just gets 1 bigger. If you take 1 away from any number, it gets one smaller. If you multiply any number by 2, it doubles, and dividing by 2 halves it. Multiplying a number by itself squares it. And so on. But if you add 1 to infinity, it's still just infinity. And ditto for subtracting, multiplication, and so on. (And some of the operations make even less sense.) And all this is before we even talk about the various different kinds of infinities, and different kinds of funky maths. So regardless of what anyone believes, 1/0 ain't infinity.
@ivancarrasco2128
@ivancarrasco2128 2 жыл бұрын
The answer to this question is that you cannot divide by nothing. Simply.
@StephenCWLL
@StephenCWLL 8 жыл бұрын
really enjoyed this. it's also uncanny as last night I had a thought about zero and just today I earlier posted about it on fb saying ... zero. what is it good for? absolutely nothing.
@AlexCarby
@AlexCarby 8 жыл бұрын
Take my like
@EyeLean5280
@EyeLean5280 6 жыл бұрын
NOTE FOR AMERICAN VIEWERS: 2:33 By "Roman Empire", she means Byzantium, the eastern empire that survived for centuries after the fall of Rome. Although Byzantium had once belonged to Rome, it was Greek-speaking and had a somewhat different culture, and was influenced at first by Persia and later the Islamic empires.
@dorakemba2899
@dorakemba2899 5 жыл бұрын
"Byzantine" is a late term coined by historians. Nobody used the term "byzantine" as a selfdesignation back then. But Romanoi ("roman citizen"), but still hold onto their non-roman ethnicity. Roman Empire was, like every empire, multi-ethnical. So no; the eastern Roman Empire was not _only_ "greek speaking". But inhabited by many different folks that spoke different languages/dielects. Greek was the lingua franca, the language of the elite, ruling class. That means: Church + royalty. Byzantine is just used by historians to divide the Roman Empire to East (konstantinople)/West (milano, rome). The lingua francas of the Roman Empire were not only latin but also greek. Which a lot ppl clearly forget (or don't know). Latin f.e. vocabulary is full of loanwords from ancient greek. Latin also borrowed from etruscan, celtic, semitic and other (still spoken and extinct) languages - so did also greeks. They were always in contact with other folks. But since the roman empire, that lasted a *very* long time and caused a lot extinctions of languages - we'll never know from where many words actually really came from. Also: there was no "islamic empire" in Greece. You mean probably the Ottoman "Empire" (the invading turkic tribe). But Ottoman "Empire" was actually not an _empire._
@xdsagecat3920
@xdsagecat3920 2 жыл бұрын
@@dorakemba2899 what was the ottoman ‘empire’ then
@sharkdavid
@sharkdavid 7 жыл бұрын
So good!
@wonderingwind5252
@wonderingwind5252 5 жыл бұрын
You helped my class some how but you did thanks.
@afshankhatoon3112
@afshankhatoon3112 4 жыл бұрын
Ok
@vipero07
@vipero07 8 жыл бұрын
1 chicken / 0 chickens = remainder 1 chicken. Long division still works with 0 when you use remainders. Is there any mathematical value to that? Probably not... but it still isn't undefined. It becomes an issue when you try to apply it to other equations though because 1/0 != (3/2)-1 != (5/4)-1 etc... since remainder 1 can have completely different values given a different context. Remainder really equals the dividend to be used over the same divisor. I.E. 3/2 = 1+(r1/2) so in the case of 1/0 the remainder of 1 = 1/0 which obviously loops infinitely. Perhaps there is some math there with convergent series using other /0 remainders or something, I don't know.
@MephLeo
@MephLeo 8 жыл бұрын
+vipero07 Yes, that is true. But lets look at it from another perspective: how would you characterize a division where the reminder is equal to the dividend?
@panther8707
@panther8707 3 жыл бұрын
The best explanation for something divided by zero, think of it as putting that number into nothing, or no groups. It doesn't work, right? This is the best explanation of zero I believe.
@koustovmoniamphi8004
@koustovmoniamphi8004 5 жыл бұрын
Some of video shows that the arayabhata discovered zero...im confuse
@TheVIGGO91
@TheVIGGO91 4 жыл бұрын
it's Art !! thank you so much for this Amazing video.
@cidshroom
@cidshroom 8 жыл бұрын
Wait, if 1*0=0, shouldn't 1/0=1? I mean you take 1, and divide by nothing, so you're not doing anything to that 1, so shouldn't it just be a 1? What's with the divide by zero error?
@lukesteeves1291
@lukesteeves1291 8 жыл бұрын
+cidshroom You should check out the concept of limits! One of the major problems with trying to give x/0 a value is that it doesn't have a single limit. For example, if you graph 1/x, and start on the positive side of the x axis, (eg 1/10, or some other positive number) and you start picking denominators closer and closer to 0, the value of the function gets very big - it actually does approach infinity! but this is only from the right side - if you did the same thing, but started on the negative side of the x axis, the values race off to negative infinity! Thus, the function 1/x has no limit at 0 - dividing by 0 doesn't yield one specific value!
@cidshroom
@cidshroom 8 жыл бұрын
Luke Steeves Ah, that makes far more sense, I didn't even think to try it with variables. I'll look into this, seems very interesting. Thank you!
@gorgolyt
@gorgolyt 8 жыл бұрын
+cidshroom 2*0 = 0 = 3*0. If 1/0 has an answer then multiply both sides by it. 2*0/0 = 2 = 3 = 3*0/0 But 2 is not 3. So 1/0 can't have an answer.
@ravegraveyard
@ravegraveyard 6 жыл бұрын
In simple words, the remainder would be 1 not the quotient. Quotient can be anything because 0* any number is 0. So the quotient of 1/0 can be any number. Hence infinity.
@sameeullah6873
@sameeullah6873 2 жыл бұрын
thx for the form im liking this vid but no thx cuz idint help me in my project but i appreciate ur hardworking in this vid
@BrianAndersonTT
@BrianAndersonTT 7 жыл бұрын
The video concludes something can come from nothing. Can someone explain to me how this explains the beginning of everything/existence.
@afshankhatoon3112
@afshankhatoon3112 4 жыл бұрын
No no one can
@muhammadaliali8635
@muhammadaliali8635 6 жыл бұрын
then please why you are not able to count 0 As natural number rules saying ,could anyone teach me if the zero is not using in counting then why it is zero? or what is before 1?why we cannot call nothing as a zero? or what could we call to Space? everything that exist in world might be has a space before it or after it then what will call them?
@Iceflkn
@Iceflkn 2 жыл бұрын
When defining something as having nothing in it such as a hollow ball, would it be correct to say that within that nothingness, is a quantity of 1 cavity within it? I'm not trying to just use words to twist things up, I'm referring to how math always seems to have an exception to the rule and how things change when we get down to molecular states or quantum states. Because of how our dimension potentially interacts with other dimensions, could this be one method of getting something out of nothing?
@naybala7884
@naybala7884 3 жыл бұрын
Awesome .... For me it's just like listening to a bedtime story.
@alexandrugheorghe5610
@alexandrugheorghe5610 8 жыл бұрын
Numberphile deja-vu. Zero is a more special case in general terms. My dog for example knows that no other dogs means no competition (absence of males), however, another dog means competition and more dogs than him means a tight competition. From survival point of view it looks like simple abstraction in terms of quantity appreciation is built-in to us. It only took for a brain like ours to really put it out there :-) which is fantastic.
@methefirst1
@methefirst1 6 ай бұрын
Ok. But I have a question about the zero, what is the zero?? I found it difficult to know if it has value or not
@TheSmiesko
@TheSmiesko 7 жыл бұрын
very nice video!
@goodgreat-
@goodgreat- 2 жыл бұрын
soo nice....... keep text toooooooo........ it is gives more explanation
@briansunguza4739
@briansunguza4739 4 жыл бұрын
Very well and interestingly presented, good work !
@nikolatesla4233
@nikolatesla4233 7 жыл бұрын
there is a Remarque that worth adding , using anti derivative you can write all possible universe equations starting from 0
@xianthegaian4060
@xianthegaian4060 4 жыл бұрын
That's cause 0 is God The beginning and the end. Here He tells us that he is nothing without us but still All powerful... OH HOW HE LOVES US
@mariol5220
@mariol5220 5 жыл бұрын
Nice video but incorrect. The Mayans/Olmec civilizations had a place holder value a shell. As it has been proven the Mayans performed astronomical calculations. These civilizations had this system down thousands of year BC. The evidence is in their pyramids, codices, etc. Recently, many scholars have agreed only the Mayans had the zero as a place holder and they had the concept down. What is general taught today is from an European/Asian point of view.
@akhilals5471
@akhilals5471 5 жыл бұрын
The zero as a NUMBER was first put forward by Indians 1500 years ago. And the modern number system we use today worldwide negatives and positives emerging from a null point in opposite directions is developed in India.
@zacharywhite7547
@zacharywhite7547 4 жыл бұрын
@@akhilals5471 The impressive thing about the Maya is that people in Europe, Asia and Africa have always been in contact with each other, influencing each other. People in America where isolated from the rest of the world for thousands of years and still they figured it out and came up with the concept of zero.
@xianthegaian4060
@xianthegaian4060 4 жыл бұрын
@@zacharywhite7547 Eventually 0 reveals himself to all his children Don't fear... I AM the alpha and the 0mega I AM the beginning and the End of everything. Quick question.... How come when you multiply 0 and 5 it equals 0?.....shouldn't it give you 5? Even when he makes himself nothing he is still more powerful than infinity....proving that even when left out he still the omnipresent omnipotent king God Jeh0va ......at the end of the day we are nothing without Him... When 0 reveals 1 (Jesus) and then takes him into him.....We are forgiven and saved from death by his promise. His love is the only real thing. Amen Jesus
@Abhishek-sr2pu
@Abhishek-sr2pu 4 жыл бұрын
@@zacharywhite7547 the thing is you don't need anyone influence to develop a concept. Like you don't need an influence to think. And indian invented it way before then the mayas.
@brindlebriar
@brindlebriar 6 жыл бұрын
But is there anything _outside_ the number system that can confirm that the distance between 1 and -1 is 2? (To me, it seems infinite.) Numbers are representatives of relative quantity. They all represent some quantity more or less than the quantities represented by other numbers. But just as 'infinity' is not a number, but, rather the absolute, non-relative concept of infinite quantity; so too, is 'zero' not a number, but, rather, the absolute, non-relative concept of infinite non-quantity. The absolute absence of quantity, in other words, and thus not a proper number. We use Zero for place holders to represent empty orders of magnitude. It's very useful and convenient, because our minds are finite capacity, so that we can not work with infinite digits. But that is a quality of our minds' abilities, not of external reality itself. An omniscient mind would have no need of a zero place holder, but, rather, would do math with infinite single digits. To me, both of our uses of zero are convenient, but ultimately misleading. And I think this has potentially extremely far reaching consequences for both math and physics. For example, in our number system, we understand that infinity is not a number, so that infinity - 1 is still infinity, basically, because you simply can't subtract a number from a non-number. But when it comes to zero we don't recognize that. So we allow that 0+1 = 1, and so on. But does that correspond to reality? I would say that in reality, if there is true, absolute nothing, there's nothing to add or subtract. It is an immutable absolute conceptual state. So that 0+/- anything still = zero, just as infinity +/- anything still equals infinity. Because you can't add or subtract anything from absolutes, because absolutes are immutable and timeless. They're not measurements of quantity. And measurements of quantity, btw, are divisions of everything. It's probably best, imo. to think of zero and infinity as the opening and closing brackets of the set [All] . Ultimately, they are the same, the duel expressions of the boundary of [All]. Note that this doesn't work _within_ our number system. But consider that she said in the video that Calculus works so well because it avoids having to divide by zero. It's not that our system for numerical notation and the math we do with it works so well _because_ of using zero as a digit. Rather, we manage to make it work very well specifically by _avoiding_ the paradoxes caused by using an immutable absolute concept as the lowest number in the number system(a system of relative quantities.)
@frankharr9466
@frankharr9466 8 жыл бұрын
Is it just me, or are the chapters in binary? Also, the positinal number system always met resistance when it came up against established systems. We forget about earlier instances because they happened before the most-recent example and thus the most resent one is the one people focus on.
@polachek5671
@polachek5671 6 жыл бұрын
dope animation
@EugeneKhutoryansky
@EugeneKhutoryansky 8 жыл бұрын
The number zero existed long before we "invented" it.
@theDuffChimp
@theDuffChimp 8 жыл бұрын
+Physics Videos by Eugene Khutoryansky Define 'existed'. Numbers don't exist, only what they represent.
@TiborRoussou
@TiborRoussou 8 жыл бұрын
+theDuffChimp Actually, zero is a number and a placeholder ;)
@BlueHawkPictures17
@BlueHawkPictures17 8 жыл бұрын
You can argue that zero is also invented since mathematics can be thought of as a man made tool. There are a few philosphies for how people think of mathematics and you seem to take the other most popular one that being the "discovery" approach. Love your video btw :)
@theDuffChimp
@theDuffChimp 8 жыл бұрын
Tibor Roussou But doesn't exist in the classical sense. As what it represents also doesn't exist, ergo nothing.
@TiborRoussou
@TiborRoussou 8 жыл бұрын
+theDuffChimp Zero is an even number. A number which quantifies a count or an amount of a null size. If you have zero siblings, then you have no siblings, if something has zero weight, then the thing in question has no weight. If the difference between the number of pieces in two piles is zero, it means the two piles have equal amount of pieces. Before counting starts, the result can be assumed to be zero; that is the number of items counted before you count the first item and counting the first item brings them to one. Non-mathematicians argue that you cannot have zero of something. Mathematicians accept zero as a number, since you could have zero of something. It is mathematicians, and most others, which accept zero as a number ;)
@vijayrana5649
@vijayrana5649 4 жыл бұрын
What a voice
@andreber
@andreber 8 жыл бұрын
Do you want to read on this topic further more?... Read Charles Seife author of an interesting book on this subject.
@afshankhatoon3112
@afshankhatoon3112 4 жыл бұрын
Looks like you love maths aswell☺👌
@hrgwea
@hrgwea 8 жыл бұрын
It's true that zero was initially a placeholder, but that's no longer the case. Today it's just a number and nothing more. Each digit in a number contributes a quantity defined as: DIGIT × 10 ^ POS. Where POS is the ordinal position of the digit from right to left starting by zero. For example, the value of the sequence of digits "300" is defined as: 0 × 10^0 + 0 × 10^1 + 3 × 10^2. There are no placeholders, just numbers.
@grantkohler7612
@grantkohler7612 8 жыл бұрын
All numbers are just concepts when they are not bound to the rules of physical existence by units of measurement. If you choose to bind it to reality, then there is no addition or subtraction of zero units, and zero units also can not be divided into smaller units, nor can you have any multiples of zero units. You can use logic systems to understand what would happen if the rules of reality were different. Mathematics when attached to units of measurement is one such logic system. There is apparently another one philosophers use, but I have never grasped it's use of symbols.
@D33PTHINKA
@D33PTHINKA 7 жыл бұрын
If you divide anything by no-thing then there is no division. I don't get why it is so hard for many mathematicians to acknowledge that the issues and requirement for special considerations with zero are of their own creation. Algebra being the main culprit causing confusion. It seems simple and intuitive. 1+0=1. 1-0=1. 1*0=0. Yet divide by zero and suddenly the definition of 0 changes? 0 is none, no-thing, absence within the context of whatever things you are discussing (As in: Using a numeral describe how many chicken emojis exist in this sentence). So if we divide 1 chicken by no chickens (bad example) or 1 centimetre by 0 centimetres we are making no change as the function is negated and there is 0 division. We could try to carry out the function as a subtraction and find ourselves in infinite iterations because as someone else commented 0 goes into any number infinite times...but this is simply not true because 0*x=0. Zero provides context, an interdependent opposite to denotations of value or magnitude. If you have a box of zero and you divide it with a zero width division, x times, there is no division. 0 is the argument at which the value of a function is negated and disappears. It is not positive or negative or even or odd, it is a denotation representing the concept "no-thing" and hence is clearly defined. Not undefined or infinite. Zero as a numeral is confusing because in contradiction to its core meaning it also has a value in mathematics in terms of indicating magnitude in multiples of ten. With the right axioms maths can "prove" anything but that doesn't make it true. See Gödel's work. It is a miracle that maths is as useful as it is to science when it is an incomplete, often misunderstood and contradictory theory.
@cjmacq-vg8um
@cjmacq-vg8um 8 жыл бұрын
fine video, but I love it win "science" plunges into illogic... multiplying AND dividing by 0 is identical to doing those things by 1. dividing by 1 is like multiplying by 1, you remain with original number you started with... you aren't added or subtracting anything from the original number. since 0 has no value, when multiplying and dividing by it, you are in fact not multiplying or dividing at all and you arrive at the original number. that sounds logical to me. good vid!
@josephcoleman57
@josephcoleman57 7 жыл бұрын
How do you add by zero?
@afshankhatoon3112
@afshankhatoon3112 4 жыл бұрын
You just do
@user-gn9ke5mw8k
@user-gn9ke5mw8k 2 ай бұрын
مع الأسف سيدتي المحترمة لم تذكري الخوارزمي مبتكر رقم 0 الحالي كذلك لم تذكري ابن الياسمين(ibn al yassamin) مبتكر الارقام الغبارية او أرقام فاس they call it also the Morroccan numbers. كل هذا موجود في كتب التاريخ الأكاديمية. 😊
@AldoOjeda
@AldoOjeda 8 жыл бұрын
that voice!
@afshankhatoon3112
@afshankhatoon3112 4 жыл бұрын
What do you mean
@nguyenthuthuy145
@nguyenthuthuy145 4 жыл бұрын
Yup. That's she
@romliahmadabdulnadzir1607
@romliahmadabdulnadzir1607 4 жыл бұрын
There are no words to describe what Zero is, and we can only describe what "Zero is nothing." Zero (ṣifr in Arabic and צפר in Hebrew) to indicate an empty position. With the help of the natural history of "zero," and the use of "zero" as a starting point, one may consider two types of metaphysics. On the one hand, the epistemological metaphysics, based on the perceptual/rational dichotomy, is related to the zero as a vacancy between numbers. On the other hand, the genetic metaphysics, based on the dichotomy of source-evolution (or origin and derivative), has much to do with the zero as a number between negative and positive numbers. In this respect, zero represents the horizon of metaphysics: we can forever approach it, but we cannot ultimately arrive at it. Though serving as the point of convergence and divergence for all relationships, zero has no definable content of its own. Such is the essence of zero, and of metaphysics as well. For example, there are as many numbers in between 0 and 1 as there are from 1 to the mathematical infinite ∞. This is due to the fact that each number n with n going from 1 to ∞ has an invert number 1/n which tends towards 0 a n tends towards ∞. The limit of 1/x with x tending towards ∞ is 0, and vice versa, 1/x with x tending towards 0 has ∞ as its limit. It can be asked whether space extends infinitely in every direction, and it can be asked whether time extends infinitely in either of the two temporal “directions”. Just as one can ask whether, if space is finite, it has an “end” (whether it is bounded or unbounded), one may ask of time whether, if it is finite, it had a beginning or will have an end or whether it might have neither, but rather be “circular” (be finite but unbounded). As one can ask whether there could be two extended objects that were not spatially related to each other, one can ask whether there could be two events that were not temporally related to each other. One can ask whether space is (a) a real thing-a substance-a thing that exists independently of its inhabitants, or (b) a mere system of relations among those inhabitants. And one can ask the same question about time. It may also be that there is no internal unity to metaphysics. More strongly, perhaps there is no such thing as metaphysics-or at least nothing that deserves to be called a science or a study or a discipline. Perhaps, as some philosophers have proposed, no metaphysical statement or theory is either true or false. Or perhaps, as others have proposed, metaphysical theories have truth-values, but it is impossible to find out what they are. There is no GOD except A-L-L-H (Aleph-Lamed-Lamed-Hah) the last prophet Mohammad. Aleph is infinity - Lamed-Lamed is the Almighty One - Hah all good and love (associated with 99 Names). Mohammad is the space time messenger and not a Robot. Epistemology, put simply, is the study of knowledge. In particular, epistemology focuses on how we come to acquire knowledge and what types of limits there are to our knowledge. In other words, how do we know what is true? I want you to convince me that you are not a robot. What will you say to help me know you're human? Can you ever know for sure that you're not a robot? A different branch of philosophy deals with a related question: What is real? The study of reality is known as metaphysics. It focuses on determining what, if anything, can be said to be real.
@rimil6554
@rimil6554 5 жыл бұрын
Whatever you said this nothing gone inside of my brain but I like the video...
@eXanova
@eXanova 4 жыл бұрын
There are only to numbers in existence... Zero and one... Zero indicating an absence and one represents presence... On vs off and so on... The accumulation of numbers then represents sequence... So 7 is not a number in itself but rather a sequence of ones that re occur until it represents "7" occurrences... We need to reevaluate our understanding of numbers...
@edpad5824
@edpad5824 7 ай бұрын
It was difficult for my math students to respect a mathematical concept of zero. To the average person, it means empty, nada in our pockets, in a room, or in our poor love life. But these examples apply to counting what we see: it's our visual bias. Putting 0 on a number line does not indicate no--thing (empty space) as in our lives, but a location on a number line. It's a median between negative numbers & positive numbers. When we cross a two-way traffic street, we hope to reach the median: the middle of the two way traffic before us and behind us. So zero on a number line is just a location. We could define any number on the number line as the middle number that splits two sets of numbers. Blame it on nada, zero, zilch! On teaching algebra, it's hard to divest the popular quantitative approach to zero versus a zipcode called zero: location on a number line Don't tell the negative & positive numbers about this!
@ricardoabh3242
@ricardoabh3242 7 жыл бұрын
Yes! The universe?
@kietpham4635
@kietpham4635 2 жыл бұрын
Hello there, can I get myself a chance to contribute my translation to you guys? I would like to translate this video into Vietnamese . Thank you.
@grahamgrafx
@grahamgrafx 8 жыл бұрын
Can you explain why anything to the power of zero is one? I believe it's related to the concept that zero actually means nothing rather than a number.
@abhirassharma
@abhirassharma 3 жыл бұрын
x^1 = x,, dividing both side by x, x^0 = x/x = 1
@krabkit
@krabkit 8 жыл бұрын
X/0 only approaches infinity for positive values of x, for negative values it approaches negative infinity. that is why x/0 is not infinity. the simplest analogy i can think of is the gaps in the graph of tan(x) where it curves up to infinity then suddenly appears coming up from negative infinity
@EllipticGeometry
@EllipticGeometry 8 жыл бұрын
+krabcat Almost right. You mean 1/x approaches ∞ as x approaches 0 from positive values, and -∞ from negative values. When x=0, 1/x is nothing meaningful. At best you can make it an abstract kind of number that becomes 1 when you multiply it by x. Note that allowing for this kills all the usual assumptions you can make that make math useful. That's why we don't normally do this. As for graphings things, why not just 1/x?
@gorgolyt
@gorgolyt 8 жыл бұрын
+krabcat How would you prove +infinity and -infinity are different numbers? Look up the Riemann sphere.
@cristiansteeple
@cristiansteeple 6 жыл бұрын
She's awesome
@JanetStarChild
@JanetStarChild 7 жыл бұрын
And here I thought this video would be about the hypothesis of the Zero-Energy Universe.
@xianthegaian4060
@xianthegaian4060 4 жыл бұрын
God Energy universe you say... That would be interesting
@ioannagkerou8006
@ioannagkerou8006 6 жыл бұрын
Can anyone please tell me with which programm this video was made?
@TheRoyalInstitution
@TheRoyalInstitution 6 жыл бұрын
The animation was done using After Effects, sound and music were done using Final Cut Pro X.
@joeytofoic
@joeytofoic 8 жыл бұрын
Nothing is something. At least under the POV of Directed Intelligence. What does that mean? How does meaning mean? Meaningful conversations appreciated.
@tomdubbs
@tomdubbs 8 жыл бұрын
I think that 'Something' is an unspecified 'Thing', where as, 'Nothing' is specifically 'No Thing', a 'Void'. In the same way, to classify 'Front' we need to recognise 'No Front' (Back) and for 'In' we need 'No In' (Out), etc. These must all be from the POV of a subjective intelligence because these intrinsic pairs of class are meaningless when divided or unrecognised. For there to be 'Things', we need to recognise an absence of 'Things' to classify them - as being not 'No Thing'. A 'Thing' only moves into a 'No Thing' (void) because a 'Thing' cannot move into another 'Thing'. If it moves, it will have to move other 'Things' into 'No Thing' (void). If 'Nothing' is recognised as a 'Something', then how is it classified? What is it paired with? What is 'No Something'? What would I mean if I asked you to: - Imagine nothing? Draw nothing? Do nothing? etc - Imagine no thing? Draw no thing? Do no thing? etc I think as an abstraction 'Nothing' (a void) is 'Something', as with any subject of class, but in context 'Nothing' is 'No Thing', objectively implied as not a thing, and void of all things. I think it must be the same for Zero, so I would subjectively classify it as a 'No Number'.
@firenationgaming2114
@firenationgaming2114 2 жыл бұрын
0 was devloped in india🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳and I also indian🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳😊
@lumri2002
@lumri2002 2 жыл бұрын
According to our college professor the decimal number system was based in Hindu-Arabic number system where basic digits of counting use 1, 2, 3, 4, 5, 6, 7, 8, 9 that were adapted by Arabs from Indians, but the Arabs also added the 0 to the number system. I don't know how accurate such information, we may investigate. Zero may have just been a concept used by the Indians in philosophy during ancient times, but perhaps the Arabs may have been the ones that used it early as numeral. On the other hand the ancient Mayan civilization in South America separately developed vigesimal number system which included zero numeral.
@user-uj2tk2tv3z
@user-uj2tk2tv3z 2 жыл бұрын
No
@thomaskennedy5728
@thomaskennedy5728 7 ай бұрын
Nope,arabs didn't add zero. Zero was added by aryabhatta The father of algebra i.e Muhammad ibn Musa Al-Khwarizmi mentioned or cited some of his discovery including function of zero. If it was arabs who discovered zero in mathmatics then he wouldn't mention him. Aryabhatta was the first person to use zero in mathmatics to do sum, subtraction and multiplication.
@Demoflower477
@Demoflower477 3 жыл бұрын
I was thinking this I was like if zero isn’t a positive number so it’s a negative but there’s no such thing as -0 if there was zero would be a positive
@yookayman
@yookayman 8 жыл бұрын
You'll find zero voices sexier than hers.
@AvitalShtap
@AvitalShtap 5 жыл бұрын
yookayman Creepy comments abound!!!!! Damn
@afshankhatoon3112
@afshankhatoon3112 4 жыл бұрын
Yeah creepy comments weird
@xianthegaian4060
@xianthegaian4060 4 жыл бұрын
Lol. abound.
@helltoheaven889
@helltoheaven889 2 жыл бұрын
Thanks aryabhatta
@AvadhutPurohit
@AvadhutPurohit Жыл бұрын
There is a philosophy called "Saankhya Darshan." Darshan in sanskrit means 'to see' or philosophy. Saankhya gave rise to 'Sankhyaa' the numbers in sanskrit. 0 in Vedas is not nothingness. It is exactly opposite. It is 'complete'. Read the shanti mantra that defines this. "om poornamada poornamidam poornaat purnam udachyate. Poornasya poornamadaya poornam ewa awashishyate" It means if you add completeness to complete, you get complete. If you completely remove completeness, completeness still remains. After 9, that location is NOT nothing. It is complete.... That's 0 and then you move to next place.... I don't know if West knows this.... If anyone can take credit of zero then it is only "Saankhya philosophy" and vedic sukta....
@Nawaf-
@Nawaf- 5 жыл бұрын
This video tells us how the number came to be. It does not tells us what it is... the title should be “history of number zero” not “what is zero”... you still did not mention the answer to that question. What is zero?
@Nawaf-
@Nawaf- 5 жыл бұрын
Here are some interesting facts about the number zero. We like to think of it as an empty quantity, but if we pay attention, there are positive numbers and a mirror negative for each positive number, which when combined, give us zero... (+5)+(-5)=0 both mirrors of the number 5 can be represented at the same time by zero. So, zero actually represents an empty quantity (-5) AND a full quantity (+5), *at the same time, in the same space* What? In reality, it represents the existence AND absence of all numbers of a thing *in the same time/space.* Example: A zero quantity apples in a box. Actually means, all possible apple numbers exist in this box as well as the absence of them exists at the same time in this box. That is very confusing to think of. I know. That’s why I like it. If we say there are zero apples in a box. Mathematically, it means there are (let’s say) 5 apples exist, and the same 5 apples don’t exist *at the same time* Therefor, an empty space should not be represented by a zero. It should be represented by a negative number of what you are looking for. Example: This box has a -5 apples. Since I’m looking for +5 apples and cannot find it. If I’m not looking for a specific number of a specific thing... let’s say I’m looking for *anything at all* in that box. It should be calculated as: *Box contains a negative infinite quantity of anything* So, what is zero?? My brain will explode. My theory is: Zero is everything and nothing at the same time. If that is correct, then we cannot experience zero in reality. Which I think is sad 😨
@edelcorrallira
@edelcorrallira 8 жыл бұрын
wow, beautiful!
@elliotgale470
@elliotgale470 7 жыл бұрын
The answer is infinity. You could say that 1 + 1 is not actually 2 because numbers are just concepts if you wanted, but that's not a very good argument.
@zachcrawford5
@zachcrawford5 8 жыл бұрын
X divided by zero IS infinity (assuming X>0 or X
@hrgwea
@hrgwea 8 жыл бұрын
X divided by Y is Z only if Y times Z is X. So... X divided by infinity is undefined, because there is no number Z that multiplied by infinity is X.
@aarong7555
@aarong7555 8 жыл бұрын
Undefined and infinity....are kinda the same thing
@hrgwea
@hrgwea 8 жыл бұрын
Galactic Galaxle Far from it. Infinity is a concept, whereas undefined means "no result".
@gutmorgensurfen
@gutmorgensurfen Жыл бұрын
I also like to add a pendulum theory, like high and low tides. Everyone is so linear
@lucidmoses
@lucidmoses 8 жыл бұрын
Hang on a minute. You can't say infinity is just a concept. All numbers are just conceptual.
@MephLeo
@MephLeo 8 жыл бұрын
+Lucid Moses Yeah, but infinity can't be used in calculations. you don't add to infinity, nor subtract from it, because it will always result in infinity. So, it has no practical use, only conceptual use.
@lucidmoses
@lucidmoses 8 жыл бұрын
Leopoldo Aranha I see. So X / 0 is not infinity because infinity is not a number infinity is not a number because it has no piratical use. X / 0 equals infinity is a piratical use. But X / 0 is not infinity because infinity is not a number infinity is not a number because it has no piratical use. X / 0 equals infinity is a piratical use. But X / 0 is not infinity because infinity is not a number infinity is not a number because it has no piratical use. X / 0 equals infinity is a piratical use. Etc.. etc..
@MephLeo
@MephLeo 8 жыл бұрын
Lucid Moses I like your spell of practical. It is a typo, but it also says something about pirating a logic. Mathematical concepts set does contain the concepts of numbers, but numbers set _only_ contain the concept of numbers. Infinity isn't a concept for a number, as it has no defined quantity. Such as that, infinity, while as much of a mathematical concept as a number, isn't a number.
@lucidmoses
@lucidmoses 8 жыл бұрын
Leopoldo Aranha yea, but the same reasoning is true for zero. You can't count zero any more then you can count infinity.
@MephLeo
@MephLeo 8 жыл бұрын
Lucid Moses Nope. Zero does have a defined quantity, or, better saying, it has no quantity at all. Infinity, on the other hand, has a quantity that is not defined and can't be defined in any way whatsoever. See the difference?
@chevasit
@chevasit 5 жыл бұрын
Good..
@RSPikachuAlpha
@RSPikachuAlpha 7 жыл бұрын
What are the chapters counting up in binary?
@MILCHMONSTER3D
@MILCHMONSTER3D 4 жыл бұрын
Hey, i've added german subtitles. I would invite anyone capable of speaking german to review my translation and correct any weirdness i created. Thank you!
@TheRoyalInstitution
@TheRoyalInstitution 4 жыл бұрын
Danke schön!
@JackDrewitt
@JackDrewitt 8 жыл бұрын
why the re-upload?
@TheRoyalInstitution
@TheRoyalInstitution 8 жыл бұрын
+Jack Drewitt We spotted a small error in the original version and couldn't live with ourselves, so reuploaded :)
@StephenCWLL
@StephenCWLL 8 жыл бұрын
+The Royal Institution you really shouldn't get so worked up over ... nothing ;)
@JackDrewitt
@JackDrewitt 8 жыл бұрын
The Royal Institution theres still not the 60th symbol, what was the error?
@TheRoyalInstitution
@TheRoyalInstitution 8 жыл бұрын
+Jack Drewitt In the editing process we'd accidentally ended up with a misplaced chapter title, meaning our oh-so-clever binary chapter system didn't work any more! We're okay with the 59 symbols ;)
@JackDrewitt
@JackDrewitt 8 жыл бұрын
The Royal Institution thats rude, i happen to like Sixty Symbols
@Rugbystu14
@Rugbystu14 7 жыл бұрын
Good guy Zero.
@afshankhatoon3112
@afshankhatoon3112 4 жыл бұрын
Lol so funny
@sciment5177
@sciment5177 2 жыл бұрын
Aryabhatt ji was real discoverer of zero.
@turquoise770
@turquoise770 5 жыл бұрын
Every number can have a corresponding relationship in the material world except for zero. It is impossible to have zero of anything. Even in binary computing systems it only implies a length of time between 1s.
@ItumelengS
@ItumelengS 2 жыл бұрын
You can't have zero of anything but you can have at least zero of everything
@ItumelengS
@ItumelengS 2 жыл бұрын
Would my -2 cows in my -1 farms if I fed them -3 bales of hey? I have asked this to at least 0 friends and none have come to answer me.
Why the number 0 was banned for 1500 years
16:27
Up and Atom
Рет қаралды 447 М.
Is life really that complex? | Hannah Fry | TEDxUCL
10:09
TEDx Talks
Рет қаралды 582 М.
Sunglasses Didn't Cover For Me! 🫢
00:12
Polar Reacts
Рет қаралды 5 МЛН
IQ Level: 10000
00:10
Younes Zarou
Рет қаралды 13 МЛН
Parenting hacks and gadgets against mosquitoes 🦟👶
00:21
Let's GLOW!
Рет қаралды 11 МЛН
НЫСАНА КОНЦЕРТ 2024
2:26:34
Нысана театры
Рет қаралды 1,8 МЛН
Why is this number everywhere?
23:51
Veritasium
Рет қаралды 8 МЛН
The mathematics of love | Hannah Fry | TEDxBinghamtonUniversity
17:43
Do these sound illusions fool you?
24:55
Veritasium
Рет қаралды 993 М.
What happened to Old London Bridge?
9:36
Jay Foreman
Рет қаралды 4,3 МЛН
What Is It Like To Have Synesthesia?
8:51
The Royal Institution
Рет қаралды 177 М.
Is Zero Even? - Numberphile
6:44
Numberphile
Рет қаралды 3,1 МЛН
A Brief History of Pi
16:47
Simon Clark
Рет қаралды 1,3 МЛН
The Map of Mathematics
11:06
Domain of Science
Рет қаралды 13 МЛН
Can Maths Predict the Future? - Hannah Fry at Ada Lovelace Day 2014
11:18
The Royal Institution
Рет қаралды 308 М.
Sunglasses Didn't Cover For Me! 🫢
00:12
Polar Reacts
Рет қаралды 5 МЛН