The Strangest Mathematician in History

[@Newsthink]

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[@ShahrulShahrul-b3t]

ACTUALLY, HE IS NOT A STRANGE MATEMATICIAN... HE IS A REAL MATHEMATICIAN, JUST LIKE OTHER PROFESIONAL MATHEMATICIANS... BUT HE HAS A LOT OF IDEAS.

[@hakiza-technologyltd.8198]

You guys are lying... Archimedes and most of all those so-called Greek genius studied in Alexandria and learned from priests in kemet (ancient Egypt)

[@1voluntaryist]

@@hakiza-technologyltd.8198 Can you back this up with scrolls, or any proof? How did the priests become great mathematicians?

[@IDEA.8333]

Very few people I found putting this much useful content. And this content helps me build my identity. Thank you.

[@ShahrulShahrul-b3t]

@@hakiza-technologyltd.8198 CAN YOU PROVE IT ???

[@bensyversen]

Despite his huge influence on modern mathematics and science, it's fair to say that Archimedes' accomplishments are still under-appreciated and underestimated by the public to this day! I think it's worth mentioning that the "Eureka" crown story is almost certainly apocryphal though. :)

[@soaringvulture]

No. I was there and saw him do it.

[@alistaircrookes5825]

What we know about the man barely fills a single page, yet whoever wrote those books was clearly a genius of the highest order.

[@Jasminehaydon]

Why do you think the story is apocryphal?

[@mayankthakur5341]

True ,

[@bensyversen]

@@Jasminehaydon well, I'm not an academic so you shouldn't take my word for it, but I have read quite a bit about Archimedes this year in the course of making three videos about him on my KZbin page (notably, I avoid mentioning the Eureka story in any of them). Here's the argument that Reviel Netz, the Stanford scholar of ancient science who translated the Archimedes Palimpsest, makes in the book "The Archimedes Codex" for why he doesn't believe the "Eureka" story: - The first written version of this story comes 200 years after Archimedes died, in a book by Vitruvius. He wasn't a historian though, and the book was a book of architecture with "historical anecdotes" sprinkled in. So, not a particularly reliable source. - The math involved is trivial compared to Archimedes' true accomplishments (in his work On Floating Bodies for example, he calculates the buoyancy and stability properties of complex shapes like rotated paraboloids, but never mentions anything related to this Eureka story). So it seems unlikely that something so simple would have caused Archimedes to run through the streets naked as described. Though, ironically, it WAS said that he had to be "induced with force" to take a bath, as we would be so immersed in his math that he neglected his personal hygiene. - Other authors also claim that the relatively small difference in density of the silver and gold that would have supposedly been in the crown would have made this technique somewhat unreliable for its purported purpose here.

[@YashPal-gv2ul]

"Do not disturb my circles" - Archimedes

[@the_notorious_bas]

He should have said "Don't enter my circle or I give you a round-house kick".

[@TheReal-SSS]

nice pfp

[@PygmalionFaciebat]

No... Its: "Noli turbare circulos meos" -Archimedes

[@the_real_glabnurb]

@@PygmalionFaciebat Archimedes spoke Greek, most likely he did not understand or speak Latin.

[@santerisatama5409]

I guess he was about to discover the Stern-Brocot type fractional proportions of Ford Circles a little earlier than what historically happened, if not for the imperial soldier messing things up.

[@bendybruce]

I sometimes fantasize about how amazing it would be if we could go back to the past and share our knowledge with people like Archimedes. How amazed and filled with wonder they would be at knowing so many secrets they have spent their lifetime striving towards. It makes me realize how lucky we are. The sum total of human knowledge at our fingertips and yet for most of us we take it completely for granted and instead occupy our thoughts with utter trivia.

[@goldenbear8696]

He would probably just laugh in disbelief.

[@Jessepigman69]

Reminds me of the doctor who with van Gogh

[@mikemondano3624]

We know nothing compared to them. All we did was build stuff.

[@bendybruce]

@@mikemondano3624 I could point out the multiple contradictions in your above statement but I think the far more sensible option is to go for the mute button.

[@SlimShady-69]

​@@bendybruce He's not completely wrong though. I'm not even surprised, considering how humans have stooped so low in the modern era.

[@ncdave4life]

It is surprising how many people who should understand Archimedes' buoyancy principle actually do not. For example, from early 2005 until late 2011 the U.S. *National Science Foundation* had the following statement on their website: *_"melting sea ice also raises worldwide sea levels, with potentially significant effects for coastal cities and towns."_* That's 100% wrong, because, as Archimedes knew, the *_displacement_* of floating ice does not change when it melts. (Note: "sea ice" is floating ice, not to be confused with "glaciers" and "ice sheets," which are ice & snow which is resting on land.) In 2011 I emailed the NSF about the error, and, apparently after consulting with a physicist, they removed the erroneous statement, though it remained in a .pdf version for many more years.

[@sakshampokhrel42]

One of the greatest man to ever live.

[@1voluntaryist]

At that time, at least tied for 1st place with Aristotle, but Socrates is right up there as inspiration with his "dialogues". Thoughtful Aristotle wrote "The Golden Dialogues".

[@rdyer8764]

I remember some of your early efforts on this channel. While the research and substance were always evident, the quality and poise of your presentation have become amazing. Your videos are always one of my favorites to watch when they appear in my notifications. (And your subscriber numbers seem to support my opinion.) Congrats on your excellent work! 😎🎄

[@WealthyChronicle]

I love how Archimedes turned a simple bath into one of the most important discoveries in science. Makes me wonder what I could figure out in my next shower! 💡🚿

[@RealMTBAddict]

Nothing

[@notafraidofchange]

@@RealMTBAddict BOOOOO!

[@RealMTBAddict]

@@notafraidofchange hoo

[@luckyfluke4049]

Thrinacia is NOT a mythical island! It's Sicily! The ancient name of Sicily is also Trinakria (because of its triamgular shape) and is very well described in the Odissey. Archimedes was from Sicily, so he based it on the island he was born and lived. 3:36 en.m.wikipedia.org/wiki/Cattle_of_Helios

[@ibxy3]

Hearing his story is worth every second of our time.

[@gsilcoful]

Thanks!

[@Newsthink]

Thank you so much! You’re amazing

[@Newstatejournal1]

Excellent! Years ago I saw a PBS advertisement for an upcoming documentary about Archimedes. I missed the documentary and wished to learn more about him ever since.

[@sgnir2]

So interesting! Thanks for making this.

[@fahadisshort]

Love your videos always nice to have a calm history story teller❤

[@tommy-er6hh]

I saw a show where they said the palimpsest show the beginnings of Calculus.

[@deanshalem]

I hope you know that your videos are an absolute work of art

[@jimparsons6803]

There were two other tidbits that Archimedes discovered were two interesting facts; a sphere's surface area is about 52% of a cube in which it is inscribed, similarly for the volume. Seems to be almost trite by modern standards, but at the BCE time, a big deal, from High School. I've heard that even today many use this sort-cut.

[@santerisatama5409]

52/100 => 26/50 => 13/25 is a very interesting fraction.

[@Ancientalienshistory]

The Roman general Marcellus expressed deep regret over Archimedes' death, recognizing the potential benefits of his genius for the Roman Empire and honoring him posthumously.

[@architmohan]

With the triangular Spear to his heart, he still was drawn to the circles which he owed too much for the life he had. Simply a Genius Mind!

[@121_shivamkumar5]

Your voice is so good. Your audio books or story narration would be so appreciated.

[@francisfrancis4219]

He probably actually said give me a “strong enough” long lever…

[@YoniBaruch-y3m]

What would be the hardness of that material… left as an exercise for our mechanical engineer audience.

[@CelticShae]

I must admit, when I first started the video, I was convinced by your cadence and timbre that you were an AI channel. I kept watching, because I do love me some Archimedes, and was surprised by the shot of you sitting at a table speaking. I'm so glad I stuck around. I have liked and subscribed. I will probably share to some friends, as well.

[@BillyGirlardo]

She's got tons of great stuff; I'm never disappointed!

[@drmemento]

@@BillyGirlardo Which does not, in itself, rule out AI. (Nor does the shot.) It also has a mispronunciation typical of AI ("treatises").

[@YoniBaruch-y3m]

Yeah but when polished is pronounced as Polish, it does seem like an AI generated mistake.😮

[@ericerpelding2348]

Excellent. I am glad to have viewed this.

[@ytmiguelar]

Correction at 3:17 The real value of π was not determined with certainty in the 18th century, as it cannot be determined with certainty because it is irrational. To date, more than 31 trillion decimals are known. What was determined with certainty in the 18th century was its nature, that is, that it was irrational, and in the 19th century it was shown to be transcendental.

[@bobbwc7011]

Pi was known to many decimals (= sufficient accuracy) by the time the first Khalifat preserved the know-how of the Roman Empire and Arab scholars started to study Greek and Roman mathematics. So for practical applications and real world calculations Pi has been known to mankind for a long time with acceptable accuracy.

[@ytmiguelar]

@@bobbwc7011 Sufficient and acceptable precision? For what or for whom? Perhaps for physics and positive sciences, but not for the field of mathematics. Pi is a mathematical definition (not physics) and its nature was not really known until the dates I indicated. Of course, the application of mathematical models to science does not require infinite precision, but within the field of mathematics the true determination of the nature of numbers is required!!

[@bobbwc7011]

@@ytmiguelar Irrelevant for most purposes. An engineer only needs a few decimals. Again, Pi has been known to sufficient accuracy for many centuries. Mathematics was for the most part applied mathematics, physics, engineering, celestial mechanics. It is of limited real world value to know Pi being element of {R \ Q}.

[@anxiouslycalm2929]

This is some of the most finest storytelling out there 🛐

[@matthewhill3486]

Always love your videos! Have a Merry Christmas and thank you for this treat today!

[@halneufmille]

0:48 No, his genius insight is that he didn't need a gold bar of equal mass. He could use a lever and compare their buoyancy when immersing them in water.

[@Davethreshold]

Another GREAT video!

[@Rage_Battle]

Not to mention he was the Greatest mathematician to exist before christ. Btw, Merry Christmas

[@Newsthink]

Merry Christmas!

[@Lecommandant_camroun]

and she gave birth to her firstborn, a son. She wrapped him in cloths and placed him in a manger, because there was no guest room available for them. ~ Luke 2:7

[@DrinkingStar]

Very informative and fascinating...Thanks for presenting this video.

[@r58302]

Euclid next ❤️❤️❤️❤️❤️

[@Lecommandant_camroun]

YESSSS Jesus loves you!❤✝️Repent and God bless

[@Blaqjaqshellaq]

Then Pythagoras!

[@mehdizangiabadi-iw6tn]

Thanks you for this report

[@Sanchuniathon384]

Archimedes' Mechanical Method mentioned in the palimpsest is even more important and absolutely brilliant. Everybody should look up the Mechanical Method of Archimedes.

[@HelloBro-qr4he]

Nice video On Konstantin Tsiolkovsky pls...

[@aroundandround]

0:33 The observation that the volume of fluid displaced is the volume of the object has always seemed intuitively obvious to me but that of the buoyant force equaling the weight of that displaced fluid less obvious and more of an example of Archimedes’s genius.

[@ToudaHell]

Sir Terry Pratchett parodied his naked Eureka run in Small Gods. Now i expect a penguin to appear, then disappear anytime i see it in a video. 😂

[@fsmm95]

The displacement of water depends on the volume of the object, not its weight, as this is directly related to the amount of space it takes up and pushes water out of the way, according to Archimedes' Principle.

[@happyvirus6590]

To Archimedes, Master of Lifting 💪🥂

[@brendanward2991]

Wrong. You don't understand Archimedes' Principle. What he discovered is that when immersed in the water, he was lighter than normal due to the buoyont upthrust of the water. His eureka moment occurred when he realized that the difference in his weight must be equal to the weight of water displaced.

[@dudethebagman]

Archimedes discovered more than 1 thing in his lifetime. Who discovered that the volume of liquid displaced by a submerged object equals the volume of the submerged object?

[@brendanward2991]

@@dudethebagman Anon. Also, the baths were public baths, not a small bath tub. When you immerse yourself in public baths, which are more like modern swimming pools, you don't notice that the water level rises. Archimedes was excited because he knew that he had discovered something very special, not something that would have been obvious and mundane to a genius of his level.

[@Shakti258]

3:17 Madhava in 14th century’s gave infinite series for Pi, and found astonishing 10 digits of pi , called as Madhava Leibniz series now.

[@happyvirus6590]

0:39 Archimedes out of context 💀

[@abhinavneupane9350]

when you love your work to the fullest

[@Naughty-jq2gg]

Thank you so very much❤🙏💕

[@postiemania]

Here's to Archimedes, truly immortalized.

[@ManasShuklaYT]

Thanks for sharing this

[@florisv559]

Very nice one. You only didn't mention his discovery/invention of calculus.

[@alastair81033]

Calculus was invented in the 17 century by Newton and a German guy at the same time

[@tedn6855]

Nope, archimedes did. Leibniz rediscovered it but based on archimdes methods.

[@florisv559]

Not the calculus as we know it, with derivatives and primitive functions, but that was probably only because Archimedes didn't know about functions and only used the method for finding areas (and volumes), using a geometric analog of integral calculus.

[@buzzsmith8146]

I enjoyed this. Thanks!

[@THE1729SR]

There were many improvements in the value of pi throughout history, it is not like mathematicians stopped thinking about it. They all continued to find more and more decimal places. (e.g. Aryabhata found it precisely to 3 decimal places )

[@yasaswiv2030]

Archimedes seems more like an Engineer to me

[@dengizchi_Noljon]

Hi. Al-Koshiy, one of the leading scientists of the Ulugbek Observatory, was the first to obtain the best result regarding the more accurate calculation of π.

[@mikemondano3624]

So, in what way was he "strange"? He may also have built the Antikythera mechanism. And he never mentioned moving the Earth: "δῶς μοι πᾶ στῶ καὶ τὰν γᾶν κινάσω"

[@BS-fr8df]

The 2:3 ratio is the ratio for volumes of the sphere and cylinder. It's not the ratio for the surface areas.

[@yatesfletcher1424]

Actually it is. If R is the radius of a sphere then its circumscribing cylinder also has radius R and its height is 2R. This makes the area of the top and bottom 2πR^2 and the area of its side (2πR^2)(2R) = 4πR^2 making the total area 6πR^2. The area of the sphere is 4πR^2, so the ratio is exactly 3:2!

[@thestevenjaywaymusic7775]

His screw device is still used today, in every cement mixing lorry you see. Most people don’t know that.

[@SyIe12]

👍⭐⭐⭐⭐⭐EXCELLENT WORK I LOOK FORWARD TO NEW VIDEOS!

[@walli6388]

1:00 Important point here: It's normal not to use pure gold because it is just too soft

[@parthsavyasachi9348]

I think Bhaskar had calculated the pi to 8th digit so the comment about it till 18th century have to be wrong.

[@mr88cet]

Good Scientific History video! Thanks. 5:22 - well, we also have to remember that “the Universe” they knew at the time was, essentially, our Solar System. Anyway…

[@mobatyoutube]

The explanation of Archimedes' use of his discovery near @0:50 does not make sense. The discovery (@0:38) is that an object submerged in water displaces an amount of water equal to the volume it occupies. But he did not compare the volume of the crown to that of pure gold of equal mass as you say near @0:50. The crown was a shaped object that potentially could displace much more water than another object of the same mass but different shape. Go read a more sensible story on Wikipedia. Then fix this.

[@blake121666]

It is you who does not make sense. Reshaping an amount of gold would not be creating MORE gold! And it is that amount (which you cannot change by reshaping) which determines the displacement. If they were the exact same two things in the exact same conditions (of temperature for instance) - gold of the same purity and weight - but merely different shapes, then they would ultimately be the same volume. You have quite missed the salient point there. No gold star for you; go sit in the dunce corner! 4 numbskulls upvoted your dunce comment, for crying out loud!

[@blake121666]

It looks like my reply doesn't show - prob because I included a chidingly scolding term. Without the chiding in this one, it is you who misunderstands. The same amount of gold in the same conditions (solid and at same temperature) would have the same volume - no matter what shape. You cannot CREATE gold by reshaping it. It is that amount - no matter its shape) which determines the displacement. Such is the point in what Archimedes did.

[@mobatyoutube]

@@blake121666 By your reasoning, if I make a hollow ball from the gold,, the volume displaced when putting it in water will be the same as the volume displaced by the original solid bars of gold., regardless of the diameter of the hollow ball.

[@blake121666]

@@mobatyoutube I said "solid". The crown was cast solid - not with any hollowness. But even then, the water displacement would be from the weight of the gold PLUS the weight of the air (if it were to be fully submerged). Capiche? Your misunderstanding about it is precisely what Archimedes fixed in the way people such as you are thinking. Next you'll be saying that heavier things fall faster in gravity than lighter things, lol! Do you wish to argue THAT one? EDIT: And btw, if the crown was not solid, then it was mixed with other than gold - air in your example. No one wanted a hollow crown, fyi.

[@vaggelisbasoukas7928]

You forgot Antikythera mechanism ! who is said that it was his invension

[@ΑθανάσιοςΜπίκος-τ7φ]

Syracuse was a Corynthian colony. The geared disks of the Antikythera mechanism contained a calendar referencing two months with names only the Corinthians and any colonies of theirs used. His dying request "Μη μου τους κύκλους τάραττε" translates into "Don't shake my cycles" which implies that the roman soldier was probably trying to pilfer a prototype of the Antikythera mechanism produced by the genius who had filed the discs with gears to ensure precise stellar body motion relationships. In the process of trying to divide the circle circumference into numerous gears, Archimedes realised that he could approximate the circumference of the circle by calculating the base dimension of the triangles formed by linking the edges of the filed gears and the centre of the “cyclos”. Archimedes, driven by his need to calculate π as accurately as possible, laid THE FOUNDATIONS FOR DIFFERENTIAL CALCULUS almost 2000 years before Isaac Newton!

[@johnsongibbs6567]

My hero. Thank you.

[@Dokiikjuuyfvh]

Great video

[@PORYGON9001]

Mathematicians would often duel to the death as natural philosophers often do.

[@Truthseeker371]

It's a new mystery of the world why Egypt is so corrupted when once it was a great civilisation on earth.

[@YoniBaruch-y3m]

“Religion of peace” has destroyed so much.😢

[@Moonmouse88]

Peace love light and gratitude to all blessed be from Michigan ❤😊

[@youtoob1811]

"Strangest Mathematician in History" - Dirac would like a word...

[@marknissen5961]

3:18 wrong

[@tomasvanagas4957]

Do not disturb my circles! 💯

[@PASHKULI]

2:28 min. it is not the "true" value of π, rather an APPROXIMATION the real, TRUE value of π is in correlation with φalse, 22/7 is more closer to the real value of π than other complicated approximations

[@anshuldruhela]

Request you to please also acknowledge Madhava of Sangamgrama..... he also calculated the digits of pi to many decimals way before modern mathematicians. Read wikipedia article on him please 😃

[@Pedritox0953]

Great video! Peace out

[@RhikheetDas-st4hb]

Sir can you make video upon magnus carlsen thinking

[@erictaylor5462]

Imagine the goldsmith, who had likely been ripping people off for some time. You just should not rip off the king.

[@pavan9965]

Thanks to that gold smith now we have hydraulics in physics as a subject 😂

[@albertopalma1663]

It is said that Newton and Leibniz developed calculus independently but it isn't mentioned in this video that Archimedes developed the method to find areas of curved surfaces by approximation which is the very principle of calculus. What a genius! His mean IQ is estimated to have been 190

[@bobbwc7011]

Nonsense. What Archimedes did was not calculus. And you are obviously also clueless about IQ. IQ values of above 140 are total trash and statistically extremly unreliable and not justifiable. Also, US tests are scaled and gauged differently than European tests. A European 130 (very high IQ) is often comparable to an absurd 160 from a US-American test. Also, IQ can under no circumstances be approximated or guessed, it can only be measured by various concrete tests.

[@francisfrancis4219]

I think he probably did burn ships. Likely, no one has determined how curved mirrors were implemented.

[@paulroberts7429]

Archimedes is linked to the Antikythera mechanism, the first analog computer 1000yrs before Europe, now linked to Astronomical ceiling of Senenmut's Tomb, Egyptian were far better than the Greeks, Great pyramid mathematical master-piece was 2000yrs before.

[@bobbwc7011]

Wrong. That thing was not an analogue computer. Please stop with those laymen conspiracy theories.

[@paulroberts7429]

@@bobbwc7011 Quote Smithsonian- "The Antikythera mechanism is an Ancient Greek hand-powered orrery (model of the Solar System). It is the oldest known example of an analogue computer. It could be used to predict astronomical positions and eclipses decades in advance".

[@daudietongano7395]

I ❤ Newsthink

[@asicdathens]

The treatise on buoyancy and the law of the lever are the first 2 papers of mathematical physics ever written

[@bobbwc7011]

Physics, not mathematical physics. Mathematical physics was introduced by Albert Einstein via his General Relativity.

[@asicdathens]

@bobbwc7011 Newton wrote mathematical physics, Maxwell wrote mathematical physics before Einstein and many others. The first one was Archimedes

[@bobbwc7011]

@asicdathens No. You obviously don't know what mathematical physics means. It is a synonyme for theoretical physics. It was established by Einstein who was the first to use pure mathematical techniques to do physics. Archimedes, Newton, Maxwell (lol) didn't. You are obviously a layman confusing "using mathematical formulation" with the field of "mathematical physics". Theoretical physics was not a thing until 1915.

[@clueless9447]

I'd like to know what he smoked to get those ideas

[@YoniBaruch-y3m]

That’s why it’s illegal. They don’t want us being that smart!😂

[@mehdizangiabadi-iw6tn]

He was quick

[@francisfrancis4219]

In regards to Pi, only stupid mathematicians try to determine it to the nth degree; akin to when Bart Simpson tried forcing a rectangular cube into the round hole of an infamous child’s toy.

[@LifeIsBeautiful-ki9ky]

One tree is bigger than another tree and so on.

[@tommymorrison6478]

Archimedes did NOT invent what is now called the "Archimedes Screw", and said so himself. He discovered it while in Egypt where it was already ubiquitous, being used for irrigation. In fact no one knows who invented it.

[@bobbwc7011]

It is the oldest apparatus of its kind known to mankind. It most likely originated in Sumer, invented by the Sumerians, or, due to the lack of hard evidnce from those times, the Babylonians are the most likely originators. The screw / mathematical function came from Mesopotamia to Egypt.

[@rotofotonz5150]

Wouldn't the crown have a greater surface area 🤔

[@NokiaTablet-pl7vt]

Surface, yes. Volume, no.

[@shaanalinaqvi]

Please do make a video on Sir Leonard Euler

[@ZoonCrypticon]

What would Archimedes have done, if gem-stones were attached to the crown ? Remove them all before the buoyancy test ?

[@TheRabbit413]

Under 1 minute gang 😎

[@kennyalbano1922]

Before the story about archimedes running through the street nude I got an ad for tequila.

[@gsilcoful]

Cool stuff.

[@malcolmdale9607]

These robot announcers are getting better. This one sounds almost human,

[@khy6330]

6:15 I hope the irony of some of Archimedes greatest works being all but obliterated in the name of Christianity isn't lost on people.

[@surajgupta7888]

Please make the next video on Leonard Euler Sir

[@mikemondano3624]

Leonhard Euler was even more famous.

[@LifeNarrativeOfficial]

Have you heard the name of Ramanujan

[@suedohnim8019]

Who cleaned up the spilled water? What punishment did the cheater get?

[@innocentodenigbo7284]

Very interesting.

[@tylergardner9918]

Need to know what happened to the soldier who killed him

[@YoniBaruch-y3m]

8:20… Polish metal plates? Surely a typo. 😂

[@jloiben12]

I don’t know fam. Von Neumann is pretty strange

[@JT-jg8le]

In beginning of video, how does a gold bar the same size of a gold bar mixed with other metals displace more water? They are thr same size and they both sink. That doesn't make sense. They would've displaced the same amount of water since both bar sank entirely.

[@johnlamont248]

Size? Or weight?

[@EthelredHardrede-nz8yv]

I thought the strangest was Paul Erdős. He was certainly more so than Archimedes.