Squaring The Circle (feat. James Grime) - Objectivity 171
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- Опубликовано: 28 сен 2024
- Dr James Grime joins us at The Royal Society to look at all manner of things from secret codes to fancy objects... More links below ↓↓↓
Featuring Dr James Grime speaking with Brady and Keith Moore.
Accompanying documents: www.bradyharanb...
Squaring the circle: • Squaring the Circle - ...
White Gloves of Destiny: bit.ly/White_Gl...
Check out Numberphile: / numberphile
Objectivity on Patreon: / objectivity
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Films by James Hennessy and Brady Haran
Royal Society website: bit.ly/Royal_So...
The Royal Society's own RUclips channel: / royalsociety
Facebook: / objectivityvideos
Twitter: / objectivity_vid
Patron thank you page: www.bradyharanb...
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By popular demand, some accompanying documents can be found here: www.bradyharanblog.com/blog/squaring-the-circle-the-documents
Slimzie Maygen Haha. I've seen this "proof" before.
Objectivity. I would love to have a mathematician go over this "proof" (in these documents) on Numberphile. It surly would be a great educational video on how to do proper math. Thanks.
So, if things don't add up, just re-define the value of Pi to suit your needs and voilà.
@Slimzie Maygen "Change the value of Pi to suit your needs and the task is completed."
Why didn't we think of that before? So we could just change the value of 3 if we need to. Or 10. Or 1.
Why, there's a whole new mathematics out there!!!
Fred
@Slimzie Maygen
*Circumference of circle and the shortest edge length of the mentioned Kepler right triangle are both equal to 12.*
Both equal to 12?!
And where did you get that from ?
I haven't even watched the video yet, but we need a LOT MORE JAMES! Either on Numberphile or his own channel SingingBanana.
MORE DR JAMEEEEES!
Yes we missing him? He haven't done on his channel. ...
To say Boole "influenced what we do now with computers" is something of a huge understatement. Boolean logic is at the very foundation of how digital computers function and there's absolutely no sign that it will change any time soon.
"The Bacon Cipher---the tastiest of all the ciphers." So nice to see Dr. Grime on here, and really lovely for Brady and Keith to pull out items that would be of special interest to him. :)
It's interesting though that "s" used to be written as "f" without the cross in the middle.
I actually love James Grime. I want him to talk to me about maths stuff all day
7:04 In Italian we use the methaphor "squaring the circle" (quadratura del cerchio) to mean a perfect solution to a given problem
TheDatolo97
Interesting 👌👍 Different mentalities accentuate different aspects of the same matter 😉
I wish the supposed method of squaring the circle with that gizmo had been presented.
Maybe Keith couldn't find the letters...
Sounds like something they would do on Numberphile, and they definetely should. We are sort of left hanging here.
yes, i want to know too. a pretty box is not enough.
This guy is AWESOME! Calcutta in the mid 1800's. Imagine someone this motivated today.
Charles Hudson (active 1825-1836) British civil servant based in India. The Calcutta Monthly Journal and General Register for 1836 notes a functionary of that name as ‘head uncovenanted assistant in the Office of the Civil Auditor.’ Hudson sent several letters and papers to Thomas Young at the Royal Society in the period 1825-1830 mainly on inventions and his business address is given as ‘at the Accountant General’s Office’ None of these papers were published, but are preserved in the archives as AP/12/11-13. Hudson published his ideas independently as A new and demonstrative solution of the geometric quadrature of the circle and of the geometric mean… by Charles Hudson, of Calcutta (Calcutta, printed by Andrew D'Souza, c.1831).
wait few months and files of replica of it will be flying on thingiverse
The cypher at 4:30 spells :
"bewareofthisbearrwhoissentasaspyoueryou"
But there doesn't seem to be a "v" in the alphabet at the top, so I guess that it _is_ supposed to say "over" but they either just didn't use "v" back then or he just wanted to save some space
I'm not a historian but I think u and v were still interchangeable in those days
If I had to guess, using what someone said (u & v possibly being interchangeable) and the fact that phonetically arr is essentially the same as are (pirate speak lol) this becomes
“Beware of this be are who is sent as a spy over you” I’m not to sure about the “this be are who” since it doesn’t make much sense (maybe it’s supposed to be something referencing the reader being a spy?) but the last part definitely makes sense.
I think this is :
"Beware of this bear who is sent as a spy over you"
"bearer" most likely, which is interesting as it would imply the person delivering the warning is also the subject of the warning! :P
"I've seen the Clangers"
Yep, incontrovertible proof that the moon is inhabited. Although I can't recall the apollo astronauts commenting on the presence of a Soup Dragon at all.
nasa cover up?
Must Be!
Clangers are the bomb. Got to love this Aussie-British channel.
I could watch and listen to you guys for hours.
We have plenty more videos on the channel.
PURPLE GLOVES OF POWER vs WHITE GLOVES OF DESTINY, has there been such a conflict!?!?!
Top 10 anime fights of all time.
So when can we expect an analysis of the quadrature of the circle "proof", Dr Grime? I'd love to see the logic involved and where the fallacy lies.
Slimzie Maygen all work and no play makes jack a dull boy. all work and no play makes jack a dull boy
+Slimzie Maygen wtf
+Kaedenn
Proof comes down to transcendentality of Pi. (See original numberphile video on that for why)
And if you want a video breakdown of the proof that Pi is transcendental... Yeah trust me you don't. It may be a little bit too complicated for numberphile. Proving transcendentally is not easy. At all.
No I think he's wondering where the fallacy lies in this supposed proof.
Slimzie, I don't know which of you are wrong, but Grime talks about area, and you talk about perimeter. Maybe I lost something like "with same perimeter AND area".
I thought this was a numberphile video, and was confused because numberphile already did squaring the circle. Also, I’ve always wanted SingingBanana 🎤🍌 in an Objectivity video!
I really don't understand why this show isn't more popular.
Exactly because of that, because it is a show and nothing more.
All those ſs remind me of my favorite underhanded Futurama joke, "That's just how we write our s's, you ſtupid ſhithead." (pronounced as if ſ was read as f)
Check out "Fad Eyed Fal" by Benny Hill.....
Mah boy James Numero Prime
This is so cool! And seeing you all together in this channel is awesome :-D
Thanks. Glad you liked it.
That object against the red background of the box would make a cool flag design.
I love the coincidence that earlier this night, I was having a conversation with my wife on search engine's current lack of Boolean search terms.
Crossover episode, how about that.
Is this the same John Wilkins who created the Philosophical Language, one of the first constructed languages?
Presentation is everything
I would deeply appreciate more of James Grime in Numberphile videos
Keith and James, what a masterpiece. Good job, keep it up.
Yay, I love Dr. Grime!
The purple gloves of WAAAAAHHHHHHHH
Keith and James? Fml, this is heaven.
Is a "white gloves of destiny with James Grime" coming up?
6:12 the moment brady realises someone has finally trumped in naming things
James!!!! He's my favorite numberphile!
Brady, you know you're the real star of Numberphile
I hope James has a White Gloves of Destiny coming too.
Maybe...
0:59 y(olo)! even the old masters knew it
The dots on the cypher say:
"Beware of this bear r who is sent as a spy ouer you"
...huh, I just noticed that there's no "V" in the letters at the top, IDK if that's because they didn't use "v" back then or just to save some space, but I guess that is supposed to say "over"...and the extra "r" might just be a mistake, IDK
Now that I think of it, the message is reminiscent of mccarthyism during the Cold War when Americans thought that Soviets (the bear is the national animal of Russia) were spying on them...except that this was made 250 years before so...interesting
I love Brady trying to be objective about Numberphile... ;)
"The tastiest of all the cyphers" FTW
Probably said already, but the idea of the Earth being a Planet wasn't just something to prove, but genuinely novel until the Copernican model of the Solar System.
James Grime is the best ever!
Indeed, in many programming languages, the basic data type to represent a true or false value is called... a *boolean* value
"What's in the box?!?!?!??!"
All they needed was a bit of string. Then you can get 1/2 the circumference and avoid the transcendental number issue.
r + (1/9)r approximates the square root of ((L²)/2)
Where the circumference of a circle with radius "r" approximates the perimeter of a square with side length "L". This is squaring the circle. Always approximates because of pi.
John Wilkins shows up in the Baroque Cycle/Cryptonomicon books by Neal Stephenson, which might be what is tickling the back of James' mind...?
19th century James!
"...which apparently is quite good" is quite good. :-)
That text by John Wilkins is fascinating. It's available on archive d0t 0rg
I want to see a numberfile video discussing the proof encompacted in that object.
Keith has such a pleasant voice
And, how does the proof of squaring go? I mean this one in this video? Where does it break down?
6:05 He put Brad Pitt to shame with that delivery.
At 1:09, isn't it that Thales was the first person to put up that kind of deduction(modus ponens)?
1:50 *Chuckles mathematically*
I love the part where they have to prove the Earth is a planet. It's what separates pragmatism from dogmatism. Round Earth pragmatism vs. Flat-earth dogma.
Great video.
I found that old prints really have long S's (ſ). That's interesting.
really? some more detail about the clicky tile? like what are the lines on the squared circle, and how close it is to being correct?
Wow! You look great, Dr. Haran! Fitotron5000 for life! Love, Tim
The method gives a good approximation of the squaring of the circle but of course is ultimately wrong. It leads to a value of pi equal to 4/sqrt(phi) ~ 3.1446.
I'm surprised they let you touch it w/out gloves.
If you created a square with sides pi, with an accuracy to Feinman's point(less than one Planck length), the area would certainly be the same as a circle with a radius of 1.
It wouldn't . IT would be there still an error by defect of 0.003 regarding the exact value of ∏.
5:35
He was a real fan of P, this guy.
Why was Brady the only one using gloves to handle those precious books? Had he only recently ate a bag of cheesy Wotsits prior to filming?
Purple Gloves of Power
Could you square it if you involved i?
In another problem we saw dr Grime use i to jump in a sequence in the normal plane. Something with a cone where you went into i then back to the normal plane. Could it have been 2016?
"Dr. James Grime. Star of the channel Numberphile, which is APPARENTLY quite good." Huuhh huh huh... Correction my good friend. IT IS GOOD. P.S. Jealous that you got to touch the book without gloves, adds a whole new reality to it, I think.
Nice T-Shirt you are wearing there, Brady.
Thanks. Golden ratio seeds!
The T-Shirt is the real Numberphile crossover.
Kieth sounds so much like Eddy Redmayne!
James Grime? I thought his actual name is Singing Banana.
The quadrature of the circle object looks like a mysterious alien artefact.
Is that Steve howe from Yes?
tastiest cipher of the 18th century..........................................!!!!!
Sharp beard Brady
Is George Boole boolean algebra?
Have got proof squaring the circle on me chanel
Uh hmm DOCTOR James grime
Keep watching, maybe just skip to it
calcutta is today known as kolkata
I wish the device was explained in the video...
Just draw a square with sides equal to sqrt(pi). That was easy.
This is really random, but: Is the plural of "genius" "genii"?
it's geniuses
Actually the Maya had squared the circle much earlier than western society
Why are s printed as f?
I'm oddly dissatisfied with the way he put on his left glove on...
so I skipped to the end...
"Star of the numberphile video series" surely Brady wouldn't phase it like that, is he referencing something?
Grime actually volunteered to help with a mathematics channel before Numberphile existed.
He used to watch other channels Brady produced.
Also one of the most excited and watched speakers in Numberphile
C L A N G E R S
Numberphile is great, but there's this weird Australian guy with brown paper.
As a matter of fact, the real and exact, non-transcendental value of ∏ and the Squaring of the Circle have been solved some 10 months ago by a Greek mathematician. The exact value is 3.1446.... and the Squaring can be done with Straightedge and Compass.
Despite the fact that we can get information through the Internet at the speed of light, J. Grime seems not to have noticed such an incredible event and goes on sniffing in old books.
RUclips : The Non Transcendental, Exact Value of π and the Squaring of the Circle
You can't be serious, bringing fringe mathematics to this channel. The video you mention attracted almost no views and wasn't even interesting enough to spark any genuine debate.
What is it with so-called mathematicians trying to redefine π? Is there some big conspiracy of Big Mathematics to mislead the world about the value of the single most important number in existence? What on earth are they trying to prove?
@@dielaughing73
Fringe? What's the meaning of that? Edge, border, hem.
Well, this is in fact the way the approximation of the π value 3.1415926 is done. By fringing, edging or hemming the circle with a polygon. This is "fringe Math". To use your own terms.
As for redefining. 3.1415 is a "redefinition" of the π value. 3.1415 is not the perimeter of a circle but of a polygon. And a polygon is quite different from a circle. When you move on the perimeter of a polygon, however numerous its sides and short, you're in fact always moving on a straight line and not on a circular one.
So, may be you go and review your comment.
@@dielaughing73
That's all you had, mate?
@@O-Kyklop what's the point engaging if you substitute cute wordplay for rigorous mathematical enquiry
@@dielaughing73 "Rigorous mathematical enquiry"?
You didn't even tell me where the mistake of the derivation lies hidden!
shouldn't it be "fquaring the circle?"
This video would have been far more pleasing without Brady's made-up presentation and constant interuptipon, unneeded anouncements and faked interest.
I can’t speak to all your criticisms, but I was definitely interested. - Brady
To each his own--I enjoy Brady's involvement and interaction. Especially when you realize that items of interest to the guest are tipped off by Brady's knowledge of his guests and friends.
If you dont like it just say you dont like it
Numberphile video series "apparently quite good", what a humble brag haha
Or would that be a brag humble?
But it is quite good, (so more a statement of fact than a humble brag.)
Best line.
Can we get why he thought he had solved it?
That's what I was waiting for
Did Keith pick these books? Beautiful choices, as always.
Yes Keith suggested them based on a few tips about James’ interests.
Objectivity does he know every book in the library?
All those S's written as F's makes me read that text with a Daffy Duck voice.
Boole, after whom ‘Boolean’ is named :O
And the term "boolin"
Yeet.
Thought I clicked a numperphile video. Not dissapointed though.
Yes but how does the pretty thing work Brady? The channel is made to satisfy curiosity and now im dying from it. Was this the goal? Cuz Well played.
MichaelKingsfordGray i know you cant square a circle. Just wondering how it was "supposed" to work.
Now that James has been on Objectivity, we need to bring Cliff Stoll next. Anyone agreeing on this, too? :-)
I'm not sure the internet could handle it. I wonder if TRS has any papers about non-Euclidean manifolds? Surely. ;)
James should get his own gloves. The marigolds of mathematics