@@Shivam-kz2dg not invented, discovered. Around the same time the indians found the number 0, the mayans did as well. They used a shell symbol to represent it
@@sixthcavalier distinguishing between a discovery and an invention is not a task that should be taken lightmindedly. I wouldn't immediately declare the first use of the number zero neither as a discovery nor as an invention. It mostly depends on how you believe math is applied to reality - whether a number is a deity of itself, independent of physical objects, or property of the physical existence. I tend to think that the concept of "nothing" and the notion of it (at least as a word in spoken or written languages) had already existed before the first use of a zero. zero is the arithmetical notation of nothing; the use of said notation greatly contributed to the development of arithmetics and math, but if it's solely a notation of a known concept , then I'd rather define it as more of an invention than a discovery.
This is the type of content we all didn't know we needed. I never watched a baking video before and never wanted to but you just managed to make it so interesting it's crazy
Your videos are such a stress buster. Starting with the opening music, chirping birds in background, you always explaining in calm and composed way, and the topics you choose. Just amazing. Thanks.
For those interested, some French Matheamtician advanced the hypotesis that the base 60 was used because you can actually count up to 60 with your fingers: You use the left thum to point at one of your phalanx (3 phalanx on your 4 fingers left so 12 numbers) and you count dozens with your right hand as in base 10. So you can count up to 12*5=60
Its really a shame we don't use base 12 as extending the counting method to both hands lets you do 144 on your left fingers. Staying in the same base, you can count to 168 on the left if you use your two on the thumb and a grand total of 180 not using your right thumb.
Toby, this video is so fantastic. The amount of work you put into this really shows. Super interesting, really well explained. Really have enjoyed the videos you've been baking/making recently.
This is a great way to get children involved in the original of math... Ancient Babylonian number systems can seem rather boring, but this "spices" it up a little bit! I love it!!!
Gingerbread tablets would've been useful in the Babylonian Secret Service: Chief: "Max, what did the secret message say? Agent One-wedge, Two-corners-and-six-wedges: "Well Chief, there's a slight problem. The instructions said to eat the message for security reasons. It was delicious!"
Some magnetic personality this woman has. If she read the phone book I'd listen, but thankfully she talks about things I find so interesting. She has a staggering intellect also.
The idea that ancient Babylonian mathematics could be the reason we have 60 seconds in a minute ... I find that fascinating on so many levels! The clues to all sorts of history can be hiding in so much of the every-day; in etymology, too!
Awesome Tibees. I think you are the one and only person in the whole world who talked about Babylonian math in the past 100 years! BTW, you look really tall with the Fridge in the background!
Toby. You're just amazing. You keep math very accessable. If people can't overcome their allergy for numbers, calculus and so on after this... It is so tasty.
I like your intelligent verbal output and the fact that you are able to smile and be happy about what you are saying. Thanks for RUclips recommendations I discovered you and your channel.
If we think rationally it actually doesn’t change.Imagine yourself moving from northern hemisphere to southern hemisphere with a bowl in your hand and a spoon in your other hand,would you stir it to the other way?There is no hole in the bottom of the bowl which will be affected from coriolis force? And probably this recipe made in the southern hemisphere.
I enjoy your content so much toby! I’m an incoming college freshman and I’m planning to pursue a degree in math. You definitely are my biggest inspiration!
@@tibees A question, do you think it would have been at all as viable as it is right now for all our sciences to have operated on bases other than base 10? :)
And I end up this video with a smile on my face. I wouldn't know that a video about math could be a feel good video if I've never came across your channel. :)
I’ve just discovered this channel and have inexplicably become addicted to it. I am a mathematical dunce - can’t even add up in my head....and I failed my physics O-level. But if this lady had been my teacher...who knows?
brilliantly intelligent, conservative, sweeter than sugar, and natural beauty... and now discussing ancient historical facts... i am speechless. one in a million. greetings from Germany, and thank you for sharing your intelligence and skill works with the world. you are truly a gift.
Good video. And I really appreciate your relaxed way of speaking. Every time when I speak about math, my voice sounds angry and depressed. But I enjoy watching your videos, you look so happy while explaining and sometimes I even learn something. Thank you and keep going
Excellent!!, you can "deliver" the insights of math with such an angel touch. Keep inspiring young people please, planet needs more evolved humans. Congrats on your channel.
Your voice and the way you talk is so good that it gets mesmerizing, I hope you're not going to be my soul in some video because I'd totally give it up.
Wow, today I learned something about Babylonian numeric notation and how to make gingerbread! Thanks for this highly entertaining and highly educational content!
I’m mesmerized by the really strange (and much appealing) mix of genuine sweetness and obvious intelligence of this young lady. And I learn a few things also (those I can understand :-)
Interesting thing about this notation is that it group numbers in columns of 3. All ancient counting was somehow related to 3 because 3 units is the maximum number of units we can easily count. For numbers > 3 it takes us much longer to count
In my opinion, the most "natural" mathematical base is base-6. I derived this originally from drawing what I called a "factor field" using Excel (of all things) after sizing the cells so they were square. For the first column, I changed the backgroun in every cell to black. The second column, every other cell was changed to black. The third gets every third cell. And so on. Then, when you look at the rows, the shaded in cells are the factors of a number (hence the "factor field"). So row 6, for example, has the first, second, third, and sixth column filled in, so visually you can see 1, 2, 3, and 6 are the factors of 6. Doing this, you can see "spikes" appear every six rows because of how many numbers divisible by 6 have a ton of factors. Not only that, but you can quickly spot that all the prime numbers greater than 3 occur either one above or one below a spike at the 6th row. Noticing that, I was able to use base-6 math to prove that all prime numbers greater than 3 fit the pattern of 6n +/- 1 in base-10 mathematics (which turns out to have been proven a couple thousand years ago already, but I thought it was fun to discover it independently). But not only that, any number in the pattern of 6n +/- 1 that is NOT prime *must* have factors that are themselves in the pattern of 6n +/- 1, because those are the only values you can multiply together to get another value in the same pattern of 6n +/- 1. The "6-spike", as I call it from this purely geometric structure leads me to conclude that, if you strip away all bases and just look at numbers in the "factor field" you will conclude numbers are almost drawn to a repeating 6 pattern automatically, and it makes sense that something as fundamental as prime numbers will fall right beside these spikes.
I'm not a historian though the Fall of Civilizations podcast suggests that the Sumerians originated the base 60 number system. I'm unsure about their accuracy but their podcast is an incredibly fascinating listen.
That's the best way to use flour and sugar. I don't use them as food. There have been stones and other suitable tools for counting, but as a recording medium, the clay slab was a step forward. The tenth and sexagesimal are based on the fingers. The sexagesimal is calculated by 12 joints and 60 is divisible by 12 . We continue to use sexagesimal watches and angular measurements. You were born as a teacher.
Old Babylonian mathematics is a very interesting phenomenon, which played a large role in the development of mathematics. The fact that the basis of the Babylonian (as well as the Sumerian) number system was the number 60 allowed the ancient mathematicians and astronomers to perform very difficult calculations with very high accuracy. Until now, when measuring the angular values (degrees), we use the basis of the Babylonian number system, unaware of it. In addition, the ancient Babylonian mathematicians were familiar with such an interesting concept as curly numbers (square, triangular, etc.), long before their discovery by the Pythagoreans. Therefore, the Babylonian mathematics deserves serious study and study, not only historians, but first of all modern mathematicians, which would certainly contribute to a deeper understanding of what mathematics is, what are the prospects for its development.
I think this is the place to share that I calculated 100! without a calculator and then learnt the language to name such a number. Along with school work, it took me an entire day of calculations.
Actually they used both, a base of ten and of 60, as the wedge and the corner stand for powers of ten (0 and 1) and the position stands for powers of 60
I like this; a fun way to combine making a snack and making a video. BTW, there's a couple really good videos about how to write cuneiform on YT with Irving Finkle, a curator at the British Museum. Dr. Finkle is pretty all-round awesome - I highly recommend any video he's in. And your hair looks great today, Toby.
![BLACK BAG - Official Trailer [HD] - Only in Theaters March 14](http://i.ytimg.com/vi/Du0Xp8WX_7I/mqdefault.jpg)
Tibees can make a video about anything. I would watch.
I wouldnt. and thats a compliment
No cap
Judging by your profile pic, I assume you mean that extremely literally lolololol
Lmao
I watch because I know that the math will be, at least, interesting
I don't suppose the excuse "my dog ate my homework" would have worked for a kid back then.
It woulda if the tablets were gingerbread! =P
rob roberts my homework Ate my dog. Is that a better excuse?
@@fmlbreezy If you are an apprentice of a beast tamer, yes.
tmwolf100 ok
My kid brother ate my homework because it was tasty!
Because of the nature of this channel, I really thought it was a 4000 year old math exam/test
Me too. I was like where she could have found this?
For the University of Alexandria
I was initially guessing an income tax return.
@@Fudmottin or maybe a letter of demand from the tax office for unpaid taxes 😁
Actually, there are tablets that have exams, or at least problem sets, on them.
Perhaps you could do a video on the origins of the number we call ZERO... it's fascinating and it changed the world of mathematics astronomically.
Was invented by Indian mathematician "Arya Bhatt"
While it not only changed astronomy but our perception of whole universe
@@Shivam-kz2dg and the Mayans as well
@@Shivam-kz2dg not invented, discovered. Around the same time the indians found the number 0, the mayans did as well. They used a shell symbol to represent it
@@sixthcavalier distinguishing between a discovery and an invention is not a task that should be taken lightmindedly. I wouldn't immediately declare the first use of the number zero neither as a discovery nor as an invention. It mostly depends on how you believe math is applied to reality - whether a number is a deity of itself, independent of physical objects, or property of the physical existence. I tend to think that the concept of "nothing" and the notion of it (at least as a word in spoken or written languages) had already existed before the first use of a zero. zero is the arithmetical notation of nothing; the use of said notation greatly contributed to the development of arithmetics and math, but if it's solely a notation of a known concept , then I'd rather define it as more of an invention than a discovery.
"Welcome to the first and only episode of mathematical baking with Toby"
Wait... why only? Yes, please make others like this :D
Satya Venugopal 👍
@@tibees Pleazee do more baking video pleaseeeee
@@nickjohn2051 Nude baking maths video outside in the style/tone of Bob Ross
yea we want more
@@ebog4841 lolwut
Your content integrates so much of what we love about life: baking, Bob Ross videos, mathematics, ancient mathematics, etc.
You inspire me.
This is the type of content we all didn't know we needed.
I never watched a baking video before and never wanted to but you just managed to make it so interesting it's crazy
Your videos are such a stress buster. Starting with the opening music, chirping birds in background, you always explaining in calm and composed way, and the topics you choose. Just amazing. Thanks.
In Australia, maths is _especially_ difficult, since "9" becomes "6", and vice versa.
unlokia
Ha..ha..ha.....
Ha..
Lol, I wonder how many got that one ?
This has 66 likes, so I guess it's 99
Vector Equilibrium,Actually it is not hard to get.
Huh? What do you mean?
Your channel is so incredibly wholesome, no matter what you're doing. Keep up the great work, Toby!
For those interested, some French Matheamtician advanced the hypotesis that the base 60 was used because you can actually count up to 60 with your fingers:
You use the left thum to point at one of your phalanx (3 phalanx on your 4 fingers left so 12 numbers) and you count dozens with your right hand as in base 10. So you can count up to 12*5=60
Took me a few seconds to understand, but that's very interesting...
Then your hands are warmed up to cook French cuisine? Is that what u r trying to say ?
Its really a shame we don't use base 12 as extending the counting method to both hands lets you do 144 on your left fingers. Staying in the same base, you can count to 168 on the left if you use your two on the thumb and a grand total of 180 not using your right thumb.
I still don’t get it. What’s phalanx?
@@14xx07 actually I just googled it and it's the same word in french and english; I meant the phalanges
Fantastic!
😱😱😱😱
Hey cody 🙂
*Friendzoned*
Ok
"I might offer some to my family but their collective response would be «what the heck is this»" I can relate to that
I have the same type of family unfortunately! lol
Toby, this video is so fantastic. The amount of work you put into this really shows. Super interesting, really well explained. Really have enjoyed the videos you've been baking/making recently.
You're awesome in many ways Toby, but I really love your sense of humor
After a difficult day, your voice and the interesting arguments are just like a medicine for me!❤
I loved the chilled out and relaxing tone of this video.
This is a great way to get children involved in the original of math... Ancient Babylonian number systems can seem rather boring, but this "spices" it up a little bit! I love it!!!
Very interesting! If babylonian tablets were made of gingerbread, they wouldn't have lasted though lol.
My thought exactly. That must be why so few tablets have survived. (That reminds me of Terry Pratchett's Scone of Stone.)
Gingerbread tablets would've been useful in the Babylonian Secret Service:
Chief: "Max, what did the secret message say?
Agent One-wedge, Two-corners-and-six-wedges: "Well Chief, there's a slight problem. The instructions said to eat the message for security reasons. It was delicious!"
Some magnetic personality this woman has. If she read the phone book I'd listen, but thankfully she talks about things I find so interesting. She has a staggering intellect also.
The idea that ancient Babylonian mathematics could be the reason we have 60 seconds in a minute ... I find that fascinating on so many levels! The clues to all sorts of history can be hiding in so much of the every-day; in etymology, too!
Awesome Tibees. I think you are the one and only person in the whole world who talked about Babylonian math in the past 100 years! BTW, you look really tall with the Fridge in the background!
your voice always makes me calm, those videos are better than bedtime cartoons
Please more math baking, LOVED this!
Toby. You're just amazing. You keep math very accessable. If people can't overcome their allergy for numbers, calculus and so on after this... It is so tasty.
Young students who start mathematics should have you as a kind of a "Role model"
Plz define role model first
@@ayushranjan6116 If you have access to the internet, you have access to a dictionary
@@LordKnt lol i think u need the same
or just a model if we are lucky enough for some of the cloths to fall off
@@maddawgzzzzdigital footprint bro 😭
Loving the intro music Toby XD. It sets the scene perfectly for some "no pressure" maths (which is my favourite!) Mmm mmmm!
Whenever I watch Tibees' video I feel peace in my heart because of her voice and intelligence. So cute!:)
I like your intelligent verbal output and the fact that you are able to smile and be happy about what you are saying. Thanks for RUclips recommendations I discovered you and your channel.
She's so wholesome and nerdy. Perfect RUclipsr lol, gladly would watch more on this kinda stuff. The origin of math is really interesting to me.
It feels so calming and soothing listening to you. It's like some kind of a nice therapy!
When you mix dough in the southern hemisphere, do you have to stir it the other way?
i didn't expect you here but ok
Sure, 60 times in Mesopotamia !
If we think rationally it actually doesn’t change.Imagine yourself moving from northern hemisphere to southern hemisphere with a bowl in your hand and a spoon in your other hand,would you stir it to the other way?There is no hole in the bottom of the bowl which will be affected from coriolis force?
And probably this recipe made in the southern hemisphere.
I enjoy your content so much toby! I’m an incoming college freshman and I’m planning to pursue a degree in math. You definitely are my biggest inspiration!
As a guy from Babylon, hearing you explaining math from that era combined with your accent just makes the heart melts away
TheProphesizedWalnut thanks
@@tibees A question, do you think it would have been at all as viable as it is right now for all our sciences to have operated on bases other than base 10? :)
This is one of the coolest things ever. I'm inspired.
What a great idea to re bake an old multiplication table. ❤️❤️❤️
May I ask you kindly for more videos like this one??? Soothing, educational and relaxing. Not to mention the gingerbread... :)
your voice is so relaxing.i´ll never get tired of hearing it
And I end up this video with a smile on my face. I wouldn't know that a video about math could be a feel good video if I've never came across your channel. :)
I’ve just discovered this channel and have inexplicably become addicted to it. I am a mathematical dunce - can’t even add up in my head....and I failed my physics O-level. But if this lady had been my teacher...who knows?
You are my role model Toby .
The reason why i like her is her smile and simple way of talking ❤️
brilliantly intelligent, conservative, sweeter than sugar, and natural beauty... and now discussing ancient historical facts... i am speechless. one in a million. greetings from Germany, and thank you for sharing your intelligence and skill works with the world. you are truly a gift.
I really like hearing about ancient math! They knew so much and it's amazing to think about.
Good video. And I really appreciate your relaxed way of speaking. Every time when I speak about math, my voice sounds angry and depressed. But I enjoy watching your videos, you look so happy while explaining and sometimes I even learn something.
Thank you and keep going
Excellent!!, you can "deliver" the insights of math with such an angel touch. Keep inspiring young people please, planet needs more evolved humans. Congrats on your channel.
This is why i love your channel, great video
Your voice and the way you talk is so good that it gets mesmerizing, I hope you're not going to be my soul in some video because I'd totally give it up.
Absolutely love it! Wish you did more of those!
I really love having discovered this channel
Wow, today I learned something about Babylonian numeric notation and how to make gingerbread! Thanks for this highly entertaining and highly educational content!
Thanks for watching
I’m mesmerized by the really strange (and much appealing) mix of genuine sweetness and obvious intelligence of this young lady. And I learn a few things also (those I can understand :-)
I loved the video! The concept's so original and brilliant 💗 I really enjoyed watching it, it was so entertaining 👏🧡👏
Please make more mathematical baking videos! This was very enjoyable to watch. Keep up the great work, Tibees!
I don't even like math but I just love to listen to Tibees talking about it and showing it.
I have never seen a cooking video with this much concentration before. Thanks Toby for making my day purely mathematical!
It was really great to learn about the Babylonians!, keep doing this videos they are really interesting
Edible Plimpton. Lovely! A passion for Mathematics is no vice. Thank you for sharing!
Interesting thing about this notation is that it group numbers in columns of 3. All ancient counting was somehow related to 3 because 3 units is the maximum number of units we can easily count. For numbers > 3 it takes us much longer to count
I'm from #Iraq so the Babylonian is my culture 😁😁 and I proud for that
Love this! Yes we'd love to see more about ancient math
This is delightful! I love ancient mathematics and baking.
I like trains **a train thunders past us**
Always learn something from your videos! Keep up the great work and keep 'em coming!
In my opinion, the most "natural" mathematical base is base-6. I derived this originally from drawing what I called a "factor field" using Excel (of all things) after sizing the cells so they were square. For the first column, I changed the backgroun in every cell to black. The second column, every other cell was changed to black. The third gets every third cell. And so on. Then, when you look at the rows, the shaded in cells are the factors of a number (hence the "factor field"). So row 6, for example, has the first, second, third, and sixth column filled in, so visually you can see 1, 2, 3, and 6 are the factors of 6.
Doing this, you can see "spikes" appear every six rows because of how many numbers divisible by 6 have a ton of factors. Not only that, but you can quickly spot that all the prime numbers greater than 3 occur either one above or one below a spike at the 6th row. Noticing that, I was able to use base-6 math to prove that all prime numbers greater than 3 fit the pattern of 6n +/- 1 in base-10 mathematics (which turns out to have been proven a couple thousand years ago already, but I thought it was fun to discover it independently). But not only that, any number in the pattern of 6n +/- 1 that is NOT prime *must* have factors that are themselves in the pattern of 6n +/- 1, because those are the only values you can multiply together to get another value in the same pattern of 6n +/- 1.
The "6-spike", as I call it from this purely geometric structure leads me to conclude that, if you strip away all bases and just look at numbers in the "factor field" you will conclude numbers are almost drawn to a repeating 6 pattern automatically, and it makes sense that something as fundamental as prime numbers will fall right beside these spikes.
BTW, your taste in background music is sublime.
I'd be really interested to know more about Babylonian maths, and ancient maths in general. Its very interesting. Keep up the good work!
We're so lucky to have found thousands of these tablets, a real Rosetta Stone for early maths. Great video. Sorry I'm so late to the party.
I'm not a historian though the Fall of Civilizations podcast suggests that the Sumerians originated the base 60 number system.
I'm unsure about their accuracy but their podcast is an incredibly fascinating listen.
I thuroughly enjoyed this!! I would love to see more like this
I love when I'm notified that you've uploaded again :)
First time I’ve seen an English speaking channel using the metric system to measire lengths. Feels much better when you are from other parts of europe
Australia has been using the metric system since 1972. New Zealand (where Tibees is from) also uses it.
I watch these videos after Philip DeFranco because his camera voice is so grating, and Tibees is gentle and relaxing.
Falcrist I too watch his vids
This is great. This really takes me back to my History of Mathematics course
You are the best! Thank you for making math so much fun, interesting and accessible! :)))
You can teach me Maths anytime - your voice is so soothing and relaxing!
omg love the randomness of your videos :D really interesting!
That's the best way to use flour and sugar. I don't use them as food. There have been stones and other suitable tools for counting, but as a recording medium, the clay slab was a step forward. The tenth and sexagesimal are based on the fingers. The sexagesimal is calculated by 12 joints and 60 is divisible by 12 . We continue to use sexagesimal watches and angular measurements. You were born as a teacher.
Old Babylonian mathematics is a very interesting phenomenon, which played a large role in the development of mathematics. The fact that the basis of the Babylonian (as well as the Sumerian) number system was the number 60 allowed the ancient mathematicians and astronomers to perform very difficult calculations with very high accuracy. Until now, when measuring the angular values (degrees), we use the basis of the Babylonian number system, unaware of it. In addition, the ancient Babylonian mathematicians were familiar with such an interesting concept as curly numbers (square, triangular, etc.), long before their discovery by the Pythagoreans. Therefore, the Babylonian mathematics deserves serious study and study, not only historians, but first of all modern mathematicians, which would certainly contribute to a deeper understanding of what mathematics is, what are the prospects for its development.
Great work! Thanks for presenting this information! It's good to know about this
Puts a different slant on the old adage _'the proof of the pudding is in the eating'_ - looks very tasty!
Love your videos.. don't stop.
There's also the vigesimal Euskara (Basque) counting system
Source: en.wikipedia.org/wiki/Basque_language#Number_system_used_by_millers
Please do a video on ancient astronomy, like how ancient people were able to make calendars accurate enough without the internet.
Thanks for this wonderful video. Perhaps you should make more on “history of mathematics and physics ”
Cute t shirt on a cute lady. Please take it positively. She is the person I want to meet, work with and learn from. Humble and knowledgeable.
This was very nice, you’re videos are always gr8
I think this is the place to share that I calculated 100! without a calculator and then learnt the language to name such a number. Along with school work, it took me an entire day of calculations.
i like how you split and took a bite out of the gingerbread tablet to make it look like the source artifact :D
My friend's grandma cooks like this, she uses balances and measuring cups for cooking.
While others would say a pinch of Paprika.
The Pi symbol on the apron was a nice touch. 👍
this is so cute.
I really love the way you make your videos
You could read a phonebook aloud and it would be delightful.
This girl amazes me everytime 👑
Actually they used both, a base of ten and of 60, as the wedge and the corner stand for powers of ten (0 and 1) and the position stands for powers of 60
I could watch Tibees all day! 😉
Hello from Greece!
At 2:29 the "9=" equation is shown as 1x7+2. Why not just 7+2? What significance is the "1x"?
I like this; a fun way to combine making a snack and making a video. BTW, there's a couple really good videos about how to write cuneiform on YT with Irving Finkle, a curator at the British Museum. Dr. Finkle is pretty all-round awesome - I highly recommend any video he's in. And your hair looks great today, Toby.
Thank you for making this video , greeting to you from Babylon .
هلا😂❤ بعدكج عدلة ؟