When Alice just falls down the rabbit hole and drinks from the bottle that shrinks her. She wonders if she'll just keep getting smaller or go out entirely. This seems like a reference to limits in calculus.
I analyzed Alice in a linguistics seminar at university, and its language games can really teach you a lot about semantics and pragmatics. Learning something about the math behind the story made it even more fascinating to me - thank you!
The original Winnie-the-Pooh book is like this too. Its author A. A. Milne had a degree in mathematics and snuck in some stuff that certainly appears mathematical to me.
@@tibees it made me think of perhaps South Asian tribes that stretch their necks with wow excessive jewelry one might posit but it is what they have done historically I suppose - wild to consider yeah Veritasium has shared his thumbnail viewership struggles I believe in particular - it is certainly eye catching and I hope it also is deemed a show business success however defined hahaha
Actually the multiplication she is doing in the hall is even more astonishing! Instead of base 10, use base 18 in answer 1 and add 3 to the base every time she does a new multiplication. Then you'll see that what she's saying is very true indeed. So: 4 * 5 = 12 correct when you use base 18 4 * 6 = 13 correct if you use base 21 4 * 7 = 14 correct if you use base 24 (...) 4 * 12 = 19 correct if you use base 39 And the funny part comes when she stops there, because in base 42 the right answer to 4 * 13 would be 1a. - "She shall never get to 20 at that rate" Besides from that, the number 42 is known to be Lewis Carroll's favorite number and can be seen several times in the book.
@@rebeccarpwebb4132 that's not the solution though. OP explained it uses increasing bases. 4*5 = 20. in base 18, 20 is written cause we usually use base 10, so means (2x10 + 0x1). in base 18 means (2x18 + 2x1)
@@kori228 your so sweet to explain it , I'm still confused. Geeze I failed simple math I'd not make it in a third world country, bc I'm not even smart as them ughhh American education
@@AnnoyingNewsletters I second your question. 42 seems pretty specific to be a coincidence between Carroll and Adams. I’d never heard that 42 was notable in Alice in Wonderland, but the authors’ similarities make me think Adams was referring to Carroll.
) It is not about politics and social equality issues. It is about things that had produced economical revolution, which became the background of the welfare and equality issues.
I would love to see a video on explaining some of the most abstract concepts of pure mathematics, you're great at breaking down complex ideas, explaining them, and then reformulating them in a way that doesn't seem so hard to understand.
As a philologist I can say that one of the best interpretations that the book has is related to the search for her own identity: Alice is a little girl who suddenly enters the world of Wonderland, where each character is unique and she has to adapt and grow looking for her own individual identity to survive in this world. The first book deals with this search for individual identity that did not exist in Victorian society and less so for women, while in the second, Alice puts this new identity to the test (grows and matures so to speak). The card games of the the first book and the chess of the second is also related to this idea. In addition, the first book talks about language and its ability to control the reality that surrounds us: language is power as the king shows. And I could go on but it would be very long. Good video.
There's a great article you can find online entitled "When Peter Met Alice," explaining the meeting, as adults, of the namesakes of Alice in Wonderland and Peter Pan. They were never really happy with an author making them famous as children by basing famous fiction works on them. Even worse was Christopher Robin whose father used his real name (and his real childhood stuffed aninals that still get displayed at museums) for the characters in Winnie the Poo and it haunted him for much of his life.
The master was an old Turtle - we used to call him Tortoise -" "Why did you call him Tortoise, if he wasn't one?" Alice asked. "We called him Tortoise because he taught us," said the Mock Turtle angrily: "really you are very dull!”
This was a delight in so many levels. The scientist, the artist and the child in me are all so happy. And my anxious self feels calmer with your voice.
I loved "Alice in Wonderland" and "Through the Looking-Glass" so much when I was a child that, growing impatient having to wait for an adult, I was inspired to take matters into my own hands, and, apparently through sheer force of will, acquired the ability to read. I still enjoy re-reading them every few years. I think a lot of people conceive of "Alice in Wonderland" in terms of the Walt Disney feature, which is probably among the least egregious adaptations that have been made for screen and stage and I have no criticism of the artists and animators who contributed to that project. Still, such adaptations have always fallen short of the mark for me, and now I realize it's not snobbery. The reason they seem to lack something is just that "Alice" owes so much of its delightful absurdist humor to Carroll's system of formal logic, whose implications, while highly visual on the page, are sufficiently abstract there don't seem to be many obvious choices for the screenwriter seeking to represent the story on film or video. There is a book-length adaptation, though, which I highly recommend: The 1999 edition of "The Annotated Alice" includes extensive and exhaustive footnotes by Martin Gardner*, with alternate versions of the Tenniel illustrations, etc. By the way, I've been really enjoying your videos. Thank you for producing thoughtful and engaging content. Cheers! 💙 * Edit: That's what I get for firing off a comment before watching the video. Lol. I see you're aware of Gardner. Love it!
I like your interpretation of Alice in Wonderland. My chemistry professor would reference Alice in Wonderland when referring to quantum mechanical models in organic chemical reactions. This added interest to the topic.
I am not a mathematician but a composer of music..same difference when you try to delve into the nitty gritty of it all..This lady is very cool..Did not know Lewis liked the math..but so did Debussy..his use of the "Golden section" in "La Mer"..might be worth a look..
Tibees! It had been a while since I watched your videos. I was in University for Computer Science but I did not do well in traditional education. I realized that while I was interested in CS and Math it was not my true calling. I am much too distracted complete subjects in such a linear fashion, and my passion was ultimately compromised from schooling. I work a regular job now, and live a normal life. However, these types of videos make me happy, and I myself am much happier with computer science and some math staying closer to the hobby side of things. I love the videos!
I'm currently coloring the Alice's Adventures in Wonderland coloring book illustrated by Charles Santore. 😊 I just caught a bit of a contradiction in the story. Alice says she's _seen many a cat with a grin, but not a grin without a cat..._ But in the another part of the story she says, _I didn't know that Cheshire cats always grinned; in fact, I didn't know that cats could grin._
Great insight, the Mad Hatter scene in Alice in wonderland was written in reference to quaternions which were later incorporated in Heisenbergs matrix mechanics! In the mathematics of 'non-cummutative' geometry, it matters the order in which you do something, for example, take a square photograph of someones face and place it face down. By doing 90 degree rotations clockwise or counterclockwise, you'll find that the face points in a different direction. The same principle is at the heart of many mysteries in quantum mechanics. Heisenberg came up with an uncertainty principle that says we can never know the position and momentum of a particle. The mathematical reason for this uncertainty is that it matters in which order you measure the position and the momentum. Heisenberg invented "matrix mechanics" when he was trying to understand how atoms jump from one state to another, emitting and absorbing radiation. In modern language, Heisenberg took a groupoid with n objects, each one isomorphic to each other in a unique way. He called the objects "states" of a quantum system, and he called the morphisms "transitions". Then, he formed its category algebra. The result is the algebra of n × n matrices!
Art teachers should collaborate with Mathematics teachers on common hands-on projects/ assignments. Not only would it lessen apprehension of complex concepts by students but it would titillate and stimulate their intellectual curiosity.
6:05 I always thought of this as illustrating the distinction between 'if' and 'iff'. Charles Dodgson was a noted logician. Thanks for another wonderful video!
Well, THAT was new to me. I bought a copy from UK's Penguin books where almost a quarter of the volume was about the author's obsession with (grammatical) proper language and a lot of references to a book that time used by those women emploied to educate children of upper classes - reffered to in Mary Poppins too. And a lengthy explanation of a (hidden) chess-game involved when Alice has to cross some ground. It seemed to me that translating the book into any other language would be rather difficult. So thanx for this addition!
In Cardcaptor Sakura, Sakura is often compared to Alice, especially in the newer season. At the start of the original show, Sakura says that she is bad at math, but during this sequel she remarks that she is getting better at it. I wonder if it was done on purpose.
In Through The Looking Glass, there is a curious conversation between Alice and the Knight: The name of the song is called 'Haddocks' Eyes.'" "Oh, that's the name of the song, is it?" Alice said, trying to feel interested. "No, you don't understand," the Knight said, looking a little vexed. "That's what the name is called. The name really is 'The Aged Aged Man.'" "Then I ought to have said 'That's what the song is called'?" Alice corrected herself. "No, you oughtn't: that's quite another thing! The song is called 'Ways and Means': but that's only what it's called, you know!" "Well, what is the song, then?" said Alice, who was by this time completely bewildered. "I was coming to that," the Knight said. "The song really is 'A-sitting On A Gate': and the tune's my own invention." Though there are certainly linguistic and philosophical explanations of what’s going on, I always felt it was akin to pointers in computer programming. A variable can have a name and another variable with a different name can point to the variable. Multiple variables can have the same value, and multiple pointers can point to the same variable. Anyway, there’s a distinction between the value, the name of the variable that holds the value, and the names of other pointer variables that reference the location where the value is stored.
Another mathematical connection is that Tenniel's drawings of the Mad Hatter look exactly like Bertrand Russell, who was not born until 1872, after the book was published.
Through the looking glass is an essay on compactified time creating a temporal boundary layer. Matter on one side and its perfect inversion , antimatter, on the other.
Thanks for watching! As I understand, KiwiCo is primarily subscription based so you get something different every month. But they also have a store with some of the items, here's a link to the sculptures but might they might be out of stock in some regions. They are part of the Maker crate range www.kiwico.com/us/store/dp/electroluminescent-wire-sculpture-project-kit/3103
The complete works is such a great tool to have, and I am grateful for my oddball maths teacher for introducing me. It was useful to have to show to my child to help them think their way around a problem, to not see mathematics as just numbers but to understand how to appreciate a problem whatever it may be and to be equipped to create new tools and perspectives to deal with these problems. To say it short, I told them, "I wish your school would teach you logic a little better, so your answers weren't limited to what's on a list."
I think. you are right. He used a lot of mathematical logic and some mathematical objects in the Alice in Wonderland. I liked recently this video on youtube made with Alice in Wonderland film 2010 and some good Russian music: "Алиса и Террант/Безумный Шляпник" (Alice and the Terrant / Mad Hatter). I think, it is really nice and you may like the idea too.
My 10th grade geometry teacher used phrases from AIW all the time. In my case, it kept me interested enough that it paid off in spades when l went into wood working as a profession later.
I love the annotated version of Alice in Wonderland and Through the Looking Glass. It's been in my library my entire life. I highly encourage people to track down a copy. There is so much more to the stories than first meets the eye.
There was a indie band called the mock turtles. It was Steve coogans brothers band and had a hit with the song "can you dig it" ... God i really have to get out more, and/or get other intreasts
2:37 somehow reminded me of Einstein's (allegedly) explanation of the radio telegraph, which goes something like this: _Imagine a very long cat whose head is in Los Angeles and whose tail is in New York. You pull the cat's tail in New York and its head meows in Los Angeles. Well, the radio telegraph is the same, only there's no cat._
You may enjoy the short story by Padgett, ‘Mimzy Were The Borogroves’ later repackaged as The Last Mimzy movie… which took the Hollywood happy-happy ending, but I rather like the mystery/ennui of the original.
9:05 With that smile of yours, I honestly expected you to fade away leaving your "grin" behind. I think you missed the chance to do that, unless you have another Alice in Wonderland story to tell us.
This is like inventing the past. Like a detective novel about how Euler lose is sight trying to guess a way to be a mathematician without the lateral thinking...did you ever use Jacobi's method to solve a hard geometry problem?
Very cool. You know just yesterday I've read, apparently there exists microstates which can only be distinguished by factoring in imaginary numbers, fascinating. From the article: "Alexander Streltsov from the Centre for Quantum Optical Technologies (QOT) at the University of Warsaw with the participation of scientists from the University of Science and Technology of China (USTC) in Hefei and the University of Calgary, found quantum states of entangled photons that cannot be distinguished without resorting to complex numbers."
I had never seen a video like this before nor have I ever thought about this- very intriguing! This makes all the difference to how I view Alice in Wonderland, I appreciate the story (and maths!) even more thanks to you!
I never realized this! Such a unique way to explain math to children. I always learn so much from your videos. I will always be a subscriber and a follower, thank you madam.
6:00 I like your interpretation and it did get me thinking, but in my opinion "if A -> B then B -> A" is more related to propositional logic, playing with logical consequence/implication and *modus ponens* maybe you can draw a comparison between logic and your example but think this is about something bigger and yet simpler -> more abstract than commutative properties in multiplication. equivalence rules can be drawn/applied to diverse areas of algebra (and so in the form of basic properties of (addition and) multiplication) BUT something more complex, like inference rules, can only exist in the world of logic and then it can maybe be used as a (proof) tool in algebra. on the other hand, inference rules are (mis)used all the time in our common speech :)
@@tibees You live in a place where the people are smart enough to put a smart government in power, who implemented the right policies to prevent the spread of covid.
Hi Toby , I’ve been watching a lot of ur videos Im nerdy as well and I’ve been having trouble because I have no friends In my school , I gotta say that ur videos are super cool And I feel like ur my only friend I know it’s a weird thing to say But tank you ! Also I didn’t know this book was written by a mathematician and all the math behind it It’s super cool !
Does anyone know if the "glass half empty/glass half full test of disposition comes from Carroll? The earliest reference I can find is in a Maths school book: The Mathematics Teacher, Volume 20 (1927): "Do you know Algebra?" Said the Rabbit. "Yes, I liked it in High School," said Alice. "What is one of the axioms of Algebra?" "Equal multiples of equals are equal," said Alice, selecting the first she remembered. "Indeed!" said the Rabbit. "You will admit that a bottle half-full is a bottle half-empty." "Yes," said Alice, wondering what was coming now. "Well, multiply both sides by two, and a bottle full is a bottle empty," said the Rabbit. "Well, it is that way in the United States anyhow," said Alice, a little impudently.
This was very interesting!There's a weird order in the madness of that multiplication table or maybe it's just me. 4×5=12 :1/2 correct if +2 4×6=13 :1/2 correct if +1 4×7=14 :1/2 correct So carrying this alternate-reality multiplication's table on.. 4×8=15 :1/2 correct if -1 4×9=16 :1/2 correct if-2 4×10=17 :1/2 correct -3 4×11=18 :1/2 correct -4 4×12=19 :1/2 correct -5 4×13=20 :1/2 correct -6😉
About the multiplication Alice references, a 2022 journal by Firdous Ahmad Mala says "4 × 5 = 1 × 18 + 2 so it can be written as 12 in base 18 arithmetic; 4 × 6 = 1 × 21 + 3 so it can be written as 13 in base 21 arithmetic; 4 × 7 = 1 × 24 + 4 so it can be written as 14 in base 24 arithmetic; 4 × 8 = 1 × 27 + 5 so it can be written as 15 in base 27 arithmetic [and so on].... However, 4 × 13 = 1 × 42 + 10 cannot be written as 20 in base 42 arithmetic" so interesting!!!
Thanks, this was kind of a fun change of pace. Makes me want to dig out my book to find something to share with you. This internet interaction is a little odd, but it's good to know you are a real person even if our interactions are kind of in Flatland. Or something.
When Alice just falls down the rabbit hole and drinks from the bottle that shrinks her. She wonders if she'll just keep getting smaller or go out entirely. This seems like a reference to limits in calculus.
Oh, that's a good one, I like that one. Good eye.
This kinda makes math fun 😊
The mathematical genius of Alice was imperfect states make perfect numbers.❤ Tibbee is Kool.
can you explain exactly how, im not a math genius
@@Cyclone-Enoch wdym😪
I analyzed Alice in a linguistics seminar at university, and its language games can really teach you a lot about semantics and pragmatics. Learning something about the math behind the story made it even more fascinating to me - thank you!
The original Winnie-the-Pooh book is like this too. Its author A. A. Milne had a degree in mathematics and snuck in some stuff that certainly appears mathematical to me.
I didn't know that he had a math background too, I love the stories
I've also heard that Winnie-the-Pooh contains references to Taoism.
Dont forget the advanced maths in the very hungry caterpillar too
Which Winnie the Pooh tales have some mathematical concepts?
In my university, we have a very common exercise with Winnie Pooh. It is about a Ball falling into honey
Thumbnail meme game is still strong, Toby.
concerned this one too scary
@@tibees and awkward too😅
@@tim_f_jones she reads the comments,don't forget this...😅
@@Anonymoususer6541 I know
@@tibees it made me think of perhaps South Asian tribes that stretch their necks with wow excessive jewelry one might posit but it is what they have done historically I suppose - wild to consider yeah Veritasium has shared his thumbnail viewership struggles I believe in particular - it is certainly eye catching and I hope it also is deemed a show business success however defined hahaha
Actually the multiplication she is doing in the hall is even more astonishing! Instead of base 10, use base 18 in answer 1 and add 3 to the base every time she does a new multiplication. Then you'll see that what she's saying is very true indeed.
So:
4 * 5 = 12 correct when you use base 18
4 * 6 = 13 correct if you use base 21
4 * 7 = 14 correct if you use base 24
(...)
4 * 12 = 19 correct if you use base 39
And the funny part comes when she stops there, because in base 42 the right answer to 4 * 13 would be 1a. - "She shall never get to 20 at that rate"
Besides from that, the number 42 is known to be Lewis Carroll's favorite number and can be seen several times in the book.
4*5=12
Where does 18 come in .
18-5=13
-1not Plus 1?
Is that where Douglas Adams borrowed *42* from for _the Answer to Life, the Universe, and Everything?_
@@rebeccarpwebb4132 that's not the solution though. OP explained it uses increasing bases.
4*5 = 20. in base 18, 20 is written
cause we usually use base 10, so means (2x10 + 0x1). in base 18 means (2x18 + 2x1)
@@kori228 your so sweet to explain it , I'm still confused. Geeze I failed simple math I'd not make it in a third world country, bc I'm not even smart as them ughhh American education
@@AnnoyingNewsletters I second your question. 42 seems pretty specific to be a coincidence between Carroll and Adams. I’d never heard that 42 was notable in Alice in Wonderland, but the authors’ similarities make me think Adams was referring to Carroll.
"How long is infinity?" asked Alice.
"Sometimes just one second" replied the Queen
maybe from Through the Looking Glass
Super task maybe?
your voice is so relaxing
Kind of relaxing like watching Bob Ross, The Joy of Painting, but without the painting.
True my heart is getting tickled
@@thorbjrnhellehaven5766 As if she didn’t already make math videos acting as literally Bob Ross
@@thorbjrnhellehaven5766 is she british ?
@@truongtruong4148 from New Zealand I believe.
Guys, don’t let her great videos distract you from the fact that Mr.Krabs sold spongebob’s Soul for a few cents
poor spnogeback
It was a whole 67 cents tho
@@thiccalbert 62*
While overdosing on Ketamine
) It is not about politics and social equality issues. It is about things that had produced economical revolution, which became the background of the welfare and equality issues.
Just imagine publishing multiple books on mathematics only to be described as "un-noteworthy" in that area! :O
I would love to see a video on explaining some of the most abstract concepts of pure mathematics, you're great at breaking down complex ideas, explaining them, and then reformulating them in a way that doesn't seem so hard to understand.
As a philologist I can say that one of the best interpretations that the book has is related to the search for her own identity: Alice is a little girl who suddenly enters the world of Wonderland, where each character is unique and she has to adapt and grow looking for her own individual identity to survive in this world. The first book deals with this search for individual identity that did not exist in Victorian society and less so for women, while in the second, Alice puts this new identity to the test (grows and matures so to speak). The card games of the the first book and the chess of the second is also related to this idea. In addition, the first book talks about language and its ability to control the reality that surrounds us: language is power as the king shows. And I could go on but it would be very long.
Good video.
Interesting ! Thanks for sharing
Please go on! This is fascinating!
There's a great article you can find online entitled "When Peter Met Alice," explaining the meeting, as adults, of the namesakes of Alice in Wonderland and Peter Pan. They were never really happy with an author making them famous as children by basing famous fiction works on them. Even worse was Christopher Robin whose father used his real name (and his real childhood stuffed aninals that still get displayed at museums) for the characters in Winnie the Poo and it haunted him for much of his life.
The master was an old Turtle - we used to call him Tortoise -"
"Why did you call him Tortoise, if he wasn't one?" Alice asked.
"We called him Tortoise because he taught us," said the Mock Turtle angrily: "really you are very dull!”
Maybe Alice should be an accountant because she is so dull.
@@QuantenMagier No, she should be a lion tamer.
@@mikedavis979 But does she have her own hat?
Wise I like ur comment
Maybe we should get together and talk about what you want to do something tonight or tomorrow
I love how she's an asmrist without even trying
Asmrtist*
Those are the only possible ones tbh. The rest of them just make us listen to their drool clicking in their mouths.
@@e.l.2734 +1
This was a delight in so many levels. The scientist, the artist and the child in me are all so happy. And my anxious self feels calmer with your voice.
I loved "Alice in Wonderland" and "Through the Looking-Glass" so much when I was a child that, growing impatient having to wait for an adult, I was inspired to take matters into my own hands, and, apparently through sheer force of will, acquired the ability to read. I still enjoy re-reading them every few years. I think a lot of people conceive of "Alice in Wonderland" in terms of the Walt Disney feature, which is probably among the least egregious adaptations that have been made for screen and stage and I have no criticism of the artists and animators who contributed to that project. Still, such adaptations have always fallen short of the mark for me, and now I realize it's not snobbery. The reason they seem to lack something is just that "Alice" owes so much of its delightful absurdist humor to Carroll's system of formal logic, whose implications, while highly visual on the page, are sufficiently abstract there don't seem to be many obvious choices for the screenwriter seeking to represent the story on film or video. There is a book-length adaptation, though, which I highly recommend: The 1999 edition of "The Annotated Alice" includes extensive and exhaustive footnotes by Martin Gardner*, with alternate versions of the Tenniel illustrations, etc. By the way, I've been really enjoying your videos. Thank you for producing thoughtful and engaging content. Cheers! 💙
* Edit: That's what I get for firing off a comment before watching the video. Lol. I see you're aware of Gardner. Love it!
This is one of my favorite books! This is the best math channel on the whole TH-cam.
You mind is brimming with hundreds of ideas, and all presented in a very entertaining and lively fashion. Thank you, Toby, for your wonderful videos.
My discrete maths class used the "i mean what I say" part from Alice in wonderland to describe logic.
I’m pretty sure I could listen to her talk all day and never get tired of it.
I like your interpretation of Alice in Wonderland. My chemistry professor would reference Alice in Wonderland when referring to quantum mechanical models in organic chemical reactions. This added interest to the topic.
I am not a mathematician but a composer of music..same difference when you try to delve into the nitty gritty of it all..This lady is very cool..Did not know Lewis liked the math..but so did Debussy..his use of the "Golden section" in "La Mer"..might be worth a look..
I legit got scared because of the thumbnail!
I was like; wtf happened to Toby,and who is this witch!
🤣🤣
Guddu bete aise nhi bolte😂😂😂🤣🤣
Tibees! It had been a while since I watched your videos. I was in University for Computer Science but I did not do well in traditional education. I realized that while I was interested in CS and Math it was not my true calling. I am much too distracted complete subjects in such a linear fashion, and my passion was ultimately compromised from schooling. I work a regular job now, and live a normal life. However, these types of videos make me happy, and I myself am much happier with computer science and some math staying closer to the hobby side of things. I love the videos!
Your true calling is watching Sci-fi.
I'm currently coloring the Alice's Adventures in Wonderland coloring book illustrated by Charles Santore. 😊
I just caught a bit of a contradiction in the story.
Alice says she's _seen many a cat with a grin, but not a grin without a cat..._
But in the another part of the story she says, _I didn't know that Cheshire cats always grinned; in fact, I didn't know that cats could grin._
it's "cat WITHOUT a grin"
I feel like every good story has layers to it, and can be read from different angles.
Great insight, the Mad Hatter scene in Alice in wonderland was written in reference to quaternions which were later incorporated in Heisenbergs matrix mechanics! In the mathematics of 'non-cummutative' geometry, it matters the order in which you do something, for example, take a square photograph of someones face and place it face down. By doing 90 degree rotations clockwise or counterclockwise, you'll find that the face points in a different direction. The same principle is at the heart of many mysteries in quantum mechanics. Heisenberg came up with an uncertainty principle that says we can never know the position and momentum of a particle. The mathematical reason for this uncertainty is that it matters in which order you measure the position and the momentum. Heisenberg invented "matrix mechanics" when he was trying to understand how atoms jump from one state to another, emitting and absorbing radiation. In modern language, Heisenberg took a groupoid with n objects, each one isomorphic to each other in a unique way. He called the objects "states" of a quantum system, and he called the morphisms "transitions". Then, he formed its category algebra. The result is the algebra of n × n matrices!
I've read about the tea party thing when I was studying quaternions and it's became my favourite part of the story since then.
Art teachers should collaborate with Mathematics teachers on common hands-on projects/ assignments. Not only would it lessen apprehension of complex concepts by students but it would titillate and stimulate their intellectual curiosity.
6:05 I always thought of this as illustrating the distinction between 'if' and 'iff'. Charles Dodgson was a noted logician.
Thanks for another wonderful video!
Carol also had an artistic interest in photography.
'Hem...'
Super glad to hear from you!!!! Great topic you have picked!!! Btw, thank you for your time and contribution in informing us !
I always knew this stuff was included within the story but nobody ever pointed out the specifics! Love your channel
Fun! Did you notice his hat?! “In this style 10/6” which is “irrational” when solved 1.66666666666666666! I love your videos! Thank you sooooo much!
It refers to the pre-decimal British currency and means ten shillings and sixpence, or half a guinea.
Just recurring. An irrational cant be expressed as a fraction like sqrt2
Well, THAT was new to me. I bought a copy from UK's Penguin books where almost a quarter of the volume was about the author's obsession with (grammatical) proper language and a lot of references to a book that time used by those women emploied to educate children of upper classes - reffered to in Mary Poppins too. And a lengthy explanation of a (hidden) chess-game involved when Alice has to cross some ground. It seemed to me that translating the book into any other language would be rather difficult.
So thanx for this addition!
Just commenting to say: that thumbnail is phenomenal!
I "like" your videos before I even see them. I know they're going to be good.
In Cardcaptor Sakura, Sakura is often compared to Alice, especially in the newer season. At the start of the original show, Sakura says that she is bad at math, but during this sequel she remarks that she is getting better at it. I wonder if it was done on purpose.
Lovely presentation, the text is very witty and your video makes me want to read the original version of Alice in Wonderland!
In Through The Looking Glass, there is a curious conversation between Alice and the Knight:
The name of the song is called 'Haddocks' Eyes.'"
"Oh, that's the name of the song, is it?" Alice said, trying to feel interested.
"No, you don't understand," the Knight said, looking a little vexed. "That's what the name is called. The name really is 'The Aged Aged Man.'"
"Then I ought to have said 'That's what the song is called'?" Alice corrected herself.
"No, you oughtn't: that's quite another thing! The song is called 'Ways and Means': but that's only what it's called, you know!"
"Well, what is the song, then?" said Alice, who was by this time completely bewildered.
"I was coming to that," the Knight said. "The song really is 'A-sitting On A Gate': and the tune's my own invention."
Though there are certainly linguistic and philosophical explanations of what’s going on, I always felt it was akin to pointers in computer programming. A variable can have a name and another variable with a different name can point to the variable. Multiple variables can have the same value, and multiple pointers can point to the same variable. Anyway, there’s a distinction between the value, the name of the variable that holds the value, and the names of other pointer variables that reference the location where the value is stored.
Another mathematical connection is that Tenniel's drawings of the Mad Hatter look exactly like Bertrand Russell, who was not born until 1872, after the book was published.
2:55 Ah, so at the end of time, they will have had 55 hours and 5 minutes of lessons.
Mafs✨
Meths
Your videos are so creative and fun. You’re a natural educator.
“Would the students start to teach the teacher?” ❣️Tobie consider writing your own delightful books.
Through the looking glass is an essay on compactified time creating a temporal boundary layer.
Matter on one side and its perfect inversion , antimatter, on the other.
The Cheshire Cat is actually a fourth dimensional being
I am missing these math videos !!!
Today,you tube gave me suggestion to watch this video..Worth it !!
The electro-luminescent sculptures look great for any age.
edit: I just tried to find the sculptures on their site, and nothing came up.
Thanks for watching!
As I understand, KiwiCo is primarily subscription based so you get something different every month. But they also have a store with some of the items, here's a link to the sculptures but might they might be out of stock in some regions. They are part of the Maker crate range www.kiwico.com/us/store/dp/electroluminescent-wire-sculpture-project-kit/3103
it's been a useful way of spending time.
best wishes for you from tamil nadu, India
I love the unique creativity to use always use towards your approach to mathematics!
The complete works is such a great tool to have, and I am grateful for my oddball maths teacher for introducing me. It was useful to have to show to my child to help them think their way around a problem, to not see mathematics as just numbers but to understand how to appreciate a problem whatever it may be and to be equipped to create new tools and perspectives to deal with these problems. To say it short, I told them, "I wish your school would teach you logic a little better, so your answers weren't limited to what's on a list."
"I hope you've enjoyed a little look down the rabbit hole"
Yes. I get it.
I think. you are right. He used a lot of mathematical logic and some mathematical objects in the Alice in Wonderland. I liked recently this video on youtube made with Alice in Wonderland film 2010 and some good Russian music: "Алиса и Террант/Безумный Шляпник" (Alice and the Terrant / Mad Hatter). I think, it is really nice and you may like the idea too.
A delightful foray down the rabbit hole, fascinating.
I just want an hour if you talking about math and other stuff. Your voice is soothing
Your way and style of reading makes it exciting and interesting!
This has to be one of my favorite of your videos. I love Alice in Wonderland and math. Thank you!
Just as I do with Bob Ross, I watch your videos for the soothing quality of your voice as much as the interesting content. Thank you!
I also enjoyed Carroll’s short mathematical dialogue “What the Tortoise said to Achilles”
My 10th grade geometry teacher used phrases from AIW all the time. In my case, it kept me interested enough that it paid off in spades when l went into wood working as a profession later.
I love the annotated version of Alice in Wonderland and Through the Looking Glass. It's been in my library my entire life. I highly encourage people to track down a copy. There is so much more to the stories than first meets the eye.
But when Alice returned to reality, she laughed and said:
Yes,
Infinity is an illusion
Numbers have no end just a myth
Hey, you're still active!
There was a indie band called the mock turtles. It was Steve coogans brothers band and had a hit with the song "can you dig it" ... God i really have to get out more, and/or get other intreasts
I didn´t know about this, its kind of magical and whimsical at the same time.
2:37 somehow reminded me of Einstein's (allegedly) explanation of the radio telegraph, which goes something like this: _Imagine a very long cat whose head is in Los Angeles and whose tail is in New York. You pull the cat's tail in New York and its head meows in Los Angeles. Well, the radio telegraph is the same, only there's no cat._
You may enjoy the short story by Padgett, ‘Mimzy Were The Borogroves’ later repackaged as The Last Mimzy movie… which took the Hollywood happy-happy ending, but I rather like the mystery/ennui of the original.
getting this info with such a constant smile brings joy to my ears
i never ever thought that math could be so awesome
PHD in Mathematics 😱😱 OMG
The stretches/growing/shrinking are references to linear transformations in linear algebra
Yes And from a psychological point of view it refers to the continuous change of our identity
Oh God I was scared by the thumbnail when it suddenly appeared when I clicked this video when it popped up in my notifications!
9:05 With that smile of yours, I honestly expected you to fade away leaving your "grin" behind.
I think you missed the chance to do that, unless you have another Alice in Wonderland story to tell us.
The book is one piece of culture that transcends its author. Funny take, Tibees, thank you for this.
These videos are always so interesting
This is like inventing the past. Like a detective novel about how Euler lose is sight trying to guess a way to be a mathematician without the lateral thinking...did you ever use Jacobi's method to solve a hard geometry problem?
Very cool. You know just yesterday I've read, apparently there exists microstates which can only be distinguished by factoring in imaginary numbers, fascinating.
From the article: "Alexander Streltsov from the Centre for Quantum Optical Technologies (QOT) at the University of Warsaw with the participation of scientists from the University of Science and Technology of China (USTC) in Hefei and the University of Calgary, found quantum states of entangled photons that cannot be distinguished without resorting to complex numbers."
I love the way the math and science accounts
I had never seen a video like this before nor have I ever thought about this- very intriguing! This makes all the difference to how I view Alice in Wonderland, I appreciate the story (and maths!) even more thanks to you!
We also need more Bob Ross presentation - they're soothing and calming sessions for the distressed.
I never realized this! Such a unique way to explain math to children. I always learn so much from your videos. I will always be a subscriber and a follower, thank you madam.
I really liked you channel, talk about productivity or how u schedule/plan what to study
6:00 I like your interpretation and it did get me thinking, but in my opinion "if A -> B then B -> A" is more related to propositional logic, playing with logical consequence/implication and *modus ponens*
maybe you can draw a comparison between logic and your example but think this is about something bigger and yet simpler -> more abstract than commutative properties in multiplication. equivalence rules can be drawn/applied to diverse areas of algebra (and so in the form of basic properties of (addition and) multiplication) BUT something more complex, like inference rules, can only exist in the world of logic and then it can maybe be used as a (proof) tool in algebra. on the other hand, inference rules are (mis)used all the time in our common speech :)
My therapist: Long Toby isn't real, she can't hurt you
Long Toby:
If only I had a Maths teacher like Tibees.
Wow, in this pandemic... Tobe is very cool and calm...
Not sure good thing or bad thing
I am very lucky to live in a place with no cases. My thoughts are with those in India and other countries struggling right now 💚
@@tibees thanks, you too, stay safe and complete PhD 😉
@@accidentalGamer69 Hello brother,
What are u studying currently.
Me bsc hons physics sem 2
@@tibees You live in a place where the people are smart enough to put a smart government in power, who implemented the right policies to prevent the spread of covid.
@@bishnugupta8113 I have completed my bachelor of engineering...
Currently preparing for GRE to get a master's from USA or Canada
Hi Toby , I’ve been watching a lot of ur videos
Im nerdy as well and I’ve been having trouble because I have no friends
In my school , I gotta say that ur videos are super cool
And I feel like ur my only friend
I know it’s a weird thing to say
But tank you !
Also I didn’t know this book was written by a mathematician and all the math behind it
It’s super cool !
Does anyone know if the "glass half empty/glass half full test of disposition comes from Carroll? The earliest reference I can find is in a Maths school book: The Mathematics Teacher, Volume 20 (1927): "Do you know Algebra?" Said the Rabbit. "Yes, I liked it in High School," said Alice. "What is one of the axioms of Algebra?" "Equal multiples of equals are equal," said Alice, selecting the first she remembered. "Indeed!" said the Rabbit. "You will admit that a bottle half-full is a bottle half-empty." "Yes," said Alice, wondering what was coming now. "Well, multiply both sides by two, and a bottle full is a bottle empty," said the Rabbit. "Well, it is that way in the United States anyhow," said Alice, a little impudently.
Well! This is one of the more interesting videos I've watched in a couple of years, and these have been a couple of very interesting years.
That was very interesting. You are so good at storytelling. I could listen to your voice for hours. :)
This was very interesting!There's a weird order in the madness of that multiplication table or maybe it's just me.
4×5=12 :1/2 correct if +2
4×6=13 :1/2 correct if +1
4×7=14 :1/2 correct
So carrying this alternate-reality multiplication's table on..
4×8=15 :1/2 correct if -1
4×9=16 :1/2 correct if-2
4×10=17 :1/2 correct -3
4×11=18 :1/2 correct -4
4×12=19 :1/2 correct -5
4×13=20 :1/2 correct -6😉
Alternate title: ASMR video
About the multiplication Alice references, a 2022 journal by Firdous Ahmad Mala says "4 × 5 = 1 × 18 + 2 so it can be written as 12 in base 18 arithmetic; 4 × 6 = 1 × 21 + 3 so it can be written as 13 in base 21 arithmetic; 4 × 7 = 1 × 24 + 4 so it can be written as 14 in base 24 arithmetic; 4 × 8 = 1 × 27 + 5 so it can be written as 15 in base 27 arithmetic [and so on].... However, 4 × 13 = 1 × 42 + 10 cannot be written as 20 in base 42 arithmetic" so interesting!!!
5:15 I don't really buy this. The real part of a quaternion has no more to do with time than with any other thing that you could quantify.
I can't think of a more beautiful voice to distinguish and illuminate such a classic. Thanks Toby! :-)
A little concerning that insanity is considered great literature.
And I always suspected that you were the cheshire cat :)
Looking through the spyglass. Is loaded with game mathematics.
Also the froggy went awhooing problem in his Puzzle books.
Thanks, this was kind of a fun change of pace. Makes me want to dig out my book to find something to share with you. This internet interaction is a little odd, but it's good to know you are a real person even if our interactions are kind of in Flatland. Or something.
Oh my goodness, I listen to alice and wonderland every night when I sleep, and I graduated from undergrad math last year :o
Thanks for this entertaining view of one of my favorite books.
Girl, you should totally start a story telling channel.