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The 379 page proof that 1+1=2
Sign up to Brilliant to receive a 20% discount with this link! https://brilliant.org/upandatom/
Hi! I'm Jade. If you'd like to consider supporting Up and Atom, head over to my Patreon page :)
https://www.patreon.com/upandatom
Visit the Up and Atom store
https://store.nebula.app/collections/up-and-atom
Subscribe to Up and Atom for physics, math and computer science videos
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Principia Mathematica
https://www.uhu.es/francisco.moreno/gii_mac/docs/Principia_Mathematica_vol1.pdf
Russell's Paradox video:
https://youtu.be/xauCQpnbNAM
0:00 Intro
0:52 All was well in the land of math
1:39 Oh no! Trouble is brewing
3:47 The heroes of the story
5:06 Principia Mathematica
5:49 Logic
7:42 Formal Systems
9:52 Struggles :(
11:49 Ideas in 1+1=2
14:26 Failure
15:0...
published: 20 Oct 2022
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A rare glimpse at one of the most important scientific books of all time | 7.30
When it comes to publishing, Principia Mathematica is the equivalent of a scientific blockbuster. And Sydney University has one of only four remaining first edition copies - complete with annotations by Sir Isaac Newton himself.
For more from ABC News, click here: https://ab.co/2kxYCZY
You can watch more ABC News content on iview: https://ab.co/2mge4KH
Subscribe to us on YouTube: http://ab.co/1svxLVE
Go deeper on our ABC News In-depth channel: https://ab.co/2lNeBn2
You can also like us on Facebook: http://facebook.com/abcnews.au
Or follow us on Instagram: http://instagram.com/abcnews_au
Or even on Twitter: http://twitter.com/abcnews
published: 21 Jan 2020
-
The Most Important Science Book Ever Written
While in London, Adam meets up with Brady Haran (Numberphile , Objectivity) at The Royal Society! Brady takes us down to the archives of this historic science academy where Library Manager Rupert Baker lets Adam flip through the first edition of Sir Isaac Newton's Principia Mathematica printed in 1687! We learn the storied history of the publication of this groundbreaking text and its significance to modern science. Plus, Adam gets to examine Sir Isaac Newton's actual death mask!
Thanks to Brady Haran for bringing us to The Royal Society! You can find his Objectivity videos at http://www.youtube.com/ObjectivityVideos
Shot and edited by Joey Fameli
Music by Jinglepunks
Join this channel to support Tested and get access to perks:
https://www.youtube.com/channel/UCiDJtJKMICpb9B1qf7qjEOA/jo...
published: 12 Dec 2022
-
Reading Newton's Principia Mathematica by candlelight
Isaac Newton's Mathematical Principles of Natural Philosophy (Principia Mathematica), originally published in 1687. This is a reading of the first section (definitions and laws of motion). Newton's laws (at 36:23) and the definitions at the beginning are somewhat understandable but the rest of the passage is mostly incomprehensible. My video reviewing the Principia: https://youtu.be/1KA9z4J0d4E
There are free PDFs online but if you want a physical copy: https://amzn.to/3foeKFe
In the latter half of the video, only the corollaries are read out and not their explanations which were often very visual and didn't make sense to listen to. There is also a small section about absolute motion from the first scholium which is missing.
Translated to English by Andrew Motte (1729) and revised by F...
published: 17 Jun 2019
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Math's Fundamental Flaw
Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription.
Special thanks to Prof. Asaf Karagila for consultation on set theory and specific rewrites, to Prof. Alex Kontorovich for reviews of earlier drafts, Prof. Toby ‘Qubit’ Cubitt for the help with the spectral gap, to Henry Reich for the helpful feedback and comments on the video.
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
References:
Dunham, W. (2013, July). A Note on the Origin of the Twin Prime Conjecture. In Notices of the International Congress of Chinese Mathematicians (Vol. 1, No. 1, pp. 63-65). International Pres...
published: 22 May 2021
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WHITEHEAD, Alfred North, & Bertrand Russell. Principia Mathematica.
First editions, an exceptionally rare presentation copy, inscribed by Whitehead on the front free endpapers of volumes I and II to his only sister, Shirley Maria Whitehead (1858-1943), “S.M.W. from A.N.W.”, and dated “March 13 / 12” in the second volume (preceding publication in April).
In 1891 Shirley Maria married Alfred’s former Sherborne School mathematics master, the Rev. John Blanch (1842-1907), whom Alfred held in high esteem - in 1898 he presented him with an inscribed copy of his first book, Treatise on Universal Algebra with Applications. The marriage however is recorded as unhappy by Victor Lowe in his biography of Whitehead, and Blanch died by suicide in 1907, before the publication of the Principia Mathematica. Shirley continued to reside in Cambridge, where both Russell and W...
published: 27 Jan 2023
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The Most Famous Physics Textbook
A look at Isaac Newton's Principia Mathematica (Mathematical Principles of Natural Philosophy). This great physics book first published in 1687 contains Newton's laws of motion and includes work on the motion of bodies including the inverse square law.
The copy shown in this video has been translated into English (from Latin) by Andrew Motte and Revised by Florian Cajori. There are free PDFs online but if you want a physical copy: https://amzn.to/3foeKFe
💌 Your invitation to subscribe to my channel: https://www.youtube.com/user/tibees?s...
Other videos of mine that you might enjoy:
📕 MIT Astrophysics exam: https://youtu.be/v1IgfeYSM5U
⏳ America's Toughest Math Exam: https://youtu.be/u03ST3ho9OU
🍪 Baking ancient Mathematics: https://youtu.be/CoVTAAQ41Eg
social media:
Twitter: @TobyHen...
published: 15 Jun 2019
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The 360-Page Proof That 1+1=2
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Video written by Ben Doyle
Check out my other channel: http://youtube.com/wendoverproductions
published: 27 Apr 2022
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Principia Mathematica - 1st Edition - Volume 1 - Part I - *1 to *5
This is the first video in a series of videos which I am planning to make analysing the contents of the first edition of Whitehead and Russell's Principia Mathematica.
This video is a streamlined version of my previously uploaded videos covering Part I, section A, The Theory of Deduction, *1 to *5 of Part I - Mathematical Logic.
This video looks at the primitive ideas and primitive propositions of the system of logic that Whitehead and Russell introduce in Principia Mathematica, followed by some of the immediate consequences of these primitive propositions.
The edition of Principia Mathematica that I am referring to in this video can be found using the link below:
https://archive.org/details/principiamathema01anwh/page/n15/mode/2up
published: 14 Jun 2022
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1714 Edition of Isaac Newton’s Principia Mathematica! #asmr #books #math
published: 02 Feb 2024
16:43
The 379 page proof that 1+1=2
Sign up to Brilliant to receive a 20% discount with this link! https://brilliant.org/upandatom/
Hi! I'm Jade. If you'd like to consider supporting Up and Atom,...
Sign up to Brilliant to receive a 20% discount with this link! https://brilliant.org/upandatom/
Hi! I'm Jade. If you'd like to consider supporting Up and Atom, head over to my Patreon page :)
https://www.patreon.com/upandatom
Visit the Up and Atom store
https://store.nebula.app/collections/up-and-atom
Subscribe to Up and Atom for physics, math and computer science videos
https://www.youtube.com/c/upandatom
Principia Mathematica
https://www.uhu.es/francisco.moreno/gii_mac/docs/Principia_Mathematica_vol1.pdf
Russell's Paradox video:
https://youtu.be/xauCQpnbNAM
0:00 Intro
0:52 All was well in the land of math
1:39 Oh no! Trouble is brewing
3:47 The heroes of the story
5:06 Principia Mathematica
5:49 Logic
7:42 Formal Systems
9:52 Struggles :(
11:49 Ideas in 1+1=2
14:26 Failure
15:04 Sponsor
*Follow me* @upndatom
Up and Atom on Twitter: https://twitter.com/upndatom?lang=en
Up and Atom on Instagram: https://www.instagram.com/upndatom/
For a one time donation, head over to my PayPal :) https://www.paypal.me/upandatomshows
*A big thank you to my AMAZING PATRONS!*
Jonathan Koppelman, Michael Seydel, Cy 'kkm' K'Nelson
, Rick DeWitt, Thorsten Auth
, Purple Penguin
, AndrewA, Izzy Ca, Richard O McEwen Jr, Scott Ready,
John H. Austin, Jr.
, Brian Wilkins, Thomas V Lohmeier, David Johnston
,
Thomas Krause
,
Lynn Shackelford, Ave Eva Thornton,
Andrew Pann,
Anne Tan
, Keith Lazarus, Tyler Simms, Michael Geer, Daniel Quinn, James Mahoney, Jim Felich, Fabio Manzini, Jeremy, Sam Richardson, Robin High, KiYun Roe, Christopher Rhoades, DONALD McLeod, Ron Hochsprung, OnlineBookClub.org, Aria Bend, James Matheson, Kevin Anderson, Alexander230, Michael Martin, Tim Ludwig, Alexander Del Toro Barba, Corey Girard, Justin Smith, Emily, A. Duncan, Mark Littlehale, Lucas Alexander, Tony T Flores,
Dagmawi Elehu, Jeffrey Smith
, Alex Hackman
, bpatb, Joel Becane,
Michael Hunter
, Paul Barclay, 12tone,
Sergey Ten, Damien Holloway,
Mikely Whiplash
, John Lakeman
, Jana Christine Saout
, Jeff Schwarz
, Yana Chernobilsky,
Michael Dean
, Chris Amaris,
Matt G
, Dag-Erling Smørgrav
, John Shioli
, Todd Loreman
, Dean Fantastic, Bernard Pang, Russell Brown, Oleg Dats, Max Isenholt, John Spalding, René Pasold, Simon J. Dodd, Tang Chun, Michelle, Richard Vallender, William Toffey, Michel Speiser, Rigid Designator, James Horsley, Craig Tumblison, Cameron Tacklind, 之元 丁, Kevin Chi, Paul Blanchard, Lance Ahmu, Tim Cheseborough, Nico Papanicolaou, keine, Markus Lindström, Steve Watson, Midnight Skeptic, Kyle Higgins, aeidolos, Mike Jepson, Dexter Scott, Potch, Indrajeet Sagar, Markus Herrmann (trekkie22), Gil Chesterton, Alipasha Sadri, Pablo de Caffe, Taylor Hornby, Mark Fisher, Colin Byrne, Nick H, Jesper de Jong, Loren Hart, Sofia Fredriksson, Phat Hoang, Spuddy, Sascha Bohemia, tesseract, Stephen Britt, KG, Hansjuerg Widmer, John Sigwald, O C, Carlos Gonzalez, Thomas Kägi, James Palermo, Gary Leo Welz, Chris Teubert, Fran, Robert J Frey, Wolfgang Ripken, Jeremy Bowkett, Vincent Karpinski, Nicolas Frias, Louis M, kadhonn, Moose Thompson, Andrew, Pedro Paulo Vezza Campos, S, Sam Ross, Garrett Chomka, Bobby Butler, Rebecca Lashua, Pat Gunn, George Fletcher, RobF, Vincent Seguin, Shawn, Israel Shirk, Jesse Clark, Steven Wheeler, Philip Freeman, Jareth Arnold, Simon Barker, Lou, Simon Dargaville, and Magesh.
Creator - Jade Tan-Holmes
Animations - Tom Groenestyn
Music - epidemic sound
https://wn.com/The_379_Page_Proof_That_1_1_2
Sign up to Brilliant to receive a 20% discount with this link! https://brilliant.org/upandatom/
Hi! I'm Jade. If you'd like to consider supporting Up and Atom, head over to my Patreon page :)
https://www.patreon.com/upandatom
Visit the Up and Atom store
https://store.nebula.app/collections/up-and-atom
Subscribe to Up and Atom for physics, math and computer science videos
https://www.youtube.com/c/upandatom
Principia Mathematica
https://www.uhu.es/francisco.moreno/gii_mac/docs/Principia_Mathematica_vol1.pdf
Russell's Paradox video:
https://youtu.be/xauCQpnbNAM
0:00 Intro
0:52 All was well in the land of math
1:39 Oh no! Trouble is brewing
3:47 The heroes of the story
5:06 Principia Mathematica
5:49 Logic
7:42 Formal Systems
9:52 Struggles :(
11:49 Ideas in 1+1=2
14:26 Failure
15:04 Sponsor
*Follow me* @upndatom
Up and Atom on Twitter: https://twitter.com/upndatom?lang=en
Up and Atom on Instagram: https://www.instagram.com/upndatom/
For a one time donation, head over to my PayPal :) https://www.paypal.me/upandatomshows
*A big thank you to my AMAZING PATRONS!*
Jonathan Koppelman, Michael Seydel, Cy 'kkm' K'Nelson
, Rick DeWitt, Thorsten Auth
, Purple Penguin
, AndrewA, Izzy Ca, Richard O McEwen Jr, Scott Ready,
John H. Austin, Jr.
, Brian Wilkins, Thomas V Lohmeier, David Johnston
,
Thomas Krause
,
Lynn Shackelford, Ave Eva Thornton,
Andrew Pann,
Anne Tan
, Keith Lazarus, Tyler Simms, Michael Geer, Daniel Quinn, James Mahoney, Jim Felich, Fabio Manzini, Jeremy, Sam Richardson, Robin High, KiYun Roe, Christopher Rhoades, DONALD McLeod, Ron Hochsprung, OnlineBookClub.org, Aria Bend, James Matheson, Kevin Anderson, Alexander230, Michael Martin, Tim Ludwig, Alexander Del Toro Barba, Corey Girard, Justin Smith, Emily, A. Duncan, Mark Littlehale, Lucas Alexander, Tony T Flores,
Dagmawi Elehu, Jeffrey Smith
, Alex Hackman
, bpatb, Joel Becane,
Michael Hunter
, Paul Barclay, 12tone,
Sergey Ten, Damien Holloway,
Mikely Whiplash
, John Lakeman
, Jana Christine Saout
, Jeff Schwarz
, Yana Chernobilsky,
Michael Dean
, Chris Amaris,
Matt G
, Dag-Erling Smørgrav
, John Shioli
, Todd Loreman
, Dean Fantastic, Bernard Pang, Russell Brown, Oleg Dats, Max Isenholt, John Spalding, René Pasold, Simon J. Dodd, Tang Chun, Michelle, Richard Vallender, William Toffey, Michel Speiser, Rigid Designator, James Horsley, Craig Tumblison, Cameron Tacklind, 之元 丁, Kevin Chi, Paul Blanchard, Lance Ahmu, Tim Cheseborough, Nico Papanicolaou, keine, Markus Lindström, Steve Watson, Midnight Skeptic, Kyle Higgins, aeidolos, Mike Jepson, Dexter Scott, Potch, Indrajeet Sagar, Markus Herrmann (trekkie22), Gil Chesterton, Alipasha Sadri, Pablo de Caffe, Taylor Hornby, Mark Fisher, Colin Byrne, Nick H, Jesper de Jong, Loren Hart, Sofia Fredriksson, Phat Hoang, Spuddy, Sascha Bohemia, tesseract, Stephen Britt, KG, Hansjuerg Widmer, John Sigwald, O C, Carlos Gonzalez, Thomas Kägi, James Palermo, Gary Leo Welz, Chris Teubert, Fran, Robert J Frey, Wolfgang Ripken, Jeremy Bowkett, Vincent Karpinski, Nicolas Frias, Louis M, kadhonn, Moose Thompson, Andrew, Pedro Paulo Vezza Campos, S, Sam Ross, Garrett Chomka, Bobby Butler, Rebecca Lashua, Pat Gunn, George Fletcher, RobF, Vincent Seguin, Shawn, Israel Shirk, Jesse Clark, Steven Wheeler, Philip Freeman, Jareth Arnold, Simon Barker, Lou, Simon Dargaville, and Magesh.
Creator - Jade Tan-Holmes
Animations - Tom Groenestyn
Music - epidemic sound
- published: 20 Oct 2022
- views: 1237408
4:53
A rare glimpse at one of the most important scientific books of all time | 7.30
When it comes to publishing, Principia Mathematica is the equivalent of a scientific blockbuster. And Sydney University has one of only four remaining first edi...
When it comes to publishing, Principia Mathematica is the equivalent of a scientific blockbuster. And Sydney University has one of only four remaining first edition copies - complete with annotations by Sir Isaac Newton himself.
For more from ABC News, click here: https://ab.co/2kxYCZY
You can watch more ABC News content on iview: https://ab.co/2mge4KH
Subscribe to us on YouTube: http://ab.co/1svxLVE
Go deeper on our ABC News In-depth channel: https://ab.co/2lNeBn2
You can also like us on Facebook: http://facebook.com/abcnews.au
Or follow us on Instagram: http://instagram.com/abcnews_au
Or even on Twitter: http://twitter.com/abcnews
https://wn.com/A_Rare_Glimpse_At_One_Of_The_Most_Important_Scientific_Books_Of_All_Time_|_7.30
When it comes to publishing, Principia Mathematica is the equivalent of a scientific blockbuster. And Sydney University has one of only four remaining first edition copies - complete with annotations by Sir Isaac Newton himself.
For more from ABC News, click here: https://ab.co/2kxYCZY
You can watch more ABC News content on iview: https://ab.co/2mge4KH
Subscribe to us on YouTube: http://ab.co/1svxLVE
Go deeper on our ABC News In-depth channel: https://ab.co/2lNeBn2
You can also like us on Facebook: http://facebook.com/abcnews.au
Or follow us on Instagram: http://instagram.com/abcnews_au
Or even on Twitter: http://twitter.com/abcnews
- published: 21 Jan 2020
- views: 51767
14:57
The Most Important Science Book Ever Written
While in London, Adam meets up with Brady Haran (Numberphile , Objectivity) at The Royal Society! Brady takes us down to the archives of this historic science a...
While in London, Adam meets up with Brady Haran (Numberphile , Objectivity) at The Royal Society! Brady takes us down to the archives of this historic science academy where Library Manager Rupert Baker lets Adam flip through the first edition of Sir Isaac Newton's Principia Mathematica printed in 1687! We learn the storied history of the publication of this groundbreaking text and its significance to modern science. Plus, Adam gets to examine Sir Isaac Newton's actual death mask!
Thanks to Brady Haran for bringing us to The Royal Society! You can find his Objectivity videos at http://www.youtube.com/ObjectivityVideos
Shot and edited by Joey Fameli
Music by Jinglepunks
Join this channel to support Tested and get access to perks:
https://www.youtube.com/channel/UCiDJtJKMICpb9B1qf7qjEOA/join
Subscribe for more videos (and click the bell for notifications): http://www.youtube.com/subscription_center?add_user=testedcom
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Intro bumper by Abe Dieckman
Thanks for watching!
https://wn.com/The_Most_Important_Science_Book_Ever_Written
While in London, Adam meets up with Brady Haran (Numberphile , Objectivity) at The Royal Society! Brady takes us down to the archives of this historic science academy where Library Manager Rupert Baker lets Adam flip through the first edition of Sir Isaac Newton's Principia Mathematica printed in 1687! We learn the storied history of the publication of this groundbreaking text and its significance to modern science. Plus, Adam gets to examine Sir Isaac Newton's actual death mask!
Thanks to Brady Haran for bringing us to The Royal Society! You can find his Objectivity videos at http://www.youtube.com/ObjectivityVideos
Shot and edited by Joey Fameli
Music by Jinglepunks
Join this channel to support Tested and get access to perks:
https://www.youtube.com/channel/UCiDJtJKMICpb9B1qf7qjEOA/join
Subscribe for more videos (and click the bell for notifications): http://www.youtube.com/subscription_center?add_user=testedcom
Tested and Adam Savage Ts, stickers, (de) merit badges and more: https://tested-store.com
About Tested: https://www.tested.com/about
Twitter: http://www.twitter.com/testedcom
Facebook: http://www.facebook.com/testedcom
Instagram: https://www.instagram.com/testedcom/
Discord: https://www.discord.gg/tested
Amazon Storefront: http://www.amazon.com/shop/adamsavagestested
Intro bumper by Abe Dieckman
Thanks for watching!
- published: 12 Dec 2022
- views: 554343
1:06:32
Reading Newton's Principia Mathematica by candlelight
Isaac Newton's Mathematical Principles of Natural Philosophy (Principia Mathematica), originally published in 1687. This is a reading of the first section (defi...
Isaac Newton's Mathematical Principles of Natural Philosophy (Principia Mathematica), originally published in 1687. This is a reading of the first section (definitions and laws of motion). Newton's laws (at 36:23) and the definitions at the beginning are somewhat understandable but the rest of the passage is mostly incomprehensible. My video reviewing the Principia: https://youtu.be/1KA9z4J0d4E
There are free PDFs online but if you want a physical copy: https://amzn.to/3foeKFe
In the latter half of the video, only the corollaries are read out and not their explanations which were often very visual and didn't make sense to listen to. There is also a small section about absolute motion from the first scholium which is missing.
Translated to English by Andrew Motte (1729) and revised by Florian Cajori (1947).
💌 Subscribe to my channel to see more videos like this: https://www.youtube.com/user/tibees
🍎 Support me with a monthly donation on Patreon and receive a gift from me and access to my podcast: https://www.patreon.com/Tibees
☕️ Buy me a coffee (one-off donation): https://ko-fi.com/tibees
👁 Website: https://tobyhendy.com/
📚 TikTok: https://www.tiktok.com/@tibees
🐦 Twitter: https://twitter.com/TobyHendy
Other videos of mine that you might enjoy:
📕 MIT Astrophysics exam: https://youtu.be/v1IgfeYSM5U
⏳ America's Toughest Math Exam: https://youtu.be/u03ST3ho9OU
🍪 Baking ancient Mathematics: https://youtu.be/CoVTAAQ41Eg
https://wn.com/Reading_Newton's_Principia_Mathematica_By_Candlelight
Isaac Newton's Mathematical Principles of Natural Philosophy (Principia Mathematica), originally published in 1687. This is a reading of the first section (definitions and laws of motion). Newton's laws (at 36:23) and the definitions at the beginning are somewhat understandable but the rest of the passage is mostly incomprehensible. My video reviewing the Principia: https://youtu.be/1KA9z4J0d4E
There are free PDFs online but if you want a physical copy: https://amzn.to/3foeKFe
In the latter half of the video, only the corollaries are read out and not their explanations which were often very visual and didn't make sense to listen to. There is also a small section about absolute motion from the first scholium which is missing.
Translated to English by Andrew Motte (1729) and revised by Florian Cajori (1947).
💌 Subscribe to my channel to see more videos like this: https://www.youtube.com/user/tibees
🍎 Support me with a monthly donation on Patreon and receive a gift from me and access to my podcast: https://www.patreon.com/Tibees
☕️ Buy me a coffee (one-off donation): https://ko-fi.com/tibees
👁 Website: https://tobyhendy.com/
📚 TikTok: https://www.tiktok.com/@tibees
🐦 Twitter: https://twitter.com/TobyHendy
Other videos of mine that you might enjoy:
📕 MIT Astrophysics exam: https://youtu.be/v1IgfeYSM5U
⏳ America's Toughest Math Exam: https://youtu.be/u03ST3ho9OU
🍪 Baking ancient Mathematics: https://youtu.be/CoVTAAQ41Eg
- published: 17 Jun 2019
- views: 520791
34:00
Math's Fundamental Flaw
Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is ...
Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription.
Special thanks to Prof. Asaf Karagila for consultation on set theory and specific rewrites, to Prof. Alex Kontorovich for reviews of earlier drafts, Prof. Toby ‘Qubit’ Cubitt for the help with the spectral gap, to Henry Reich for the helpful feedback and comments on the video.
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References:
Dunham, W. (2013, July). A Note on the Origin of the Twin Prime Conjecture. In Notices of the International Congress of Chinese Mathematicians (Vol. 1, No. 1, pp. 63-65). International Press of Boston. — https://ve42.co/Dunham2013
Conway, J. (1970). The game of life. Scientific American, 223(4), 4. — https://ve42.co/Conway1970
Churchill, A., Biderman, S., Herrick, A. (2019). Magic: The Gathering is Turing Complete. ArXiv. — https://ve42.co/Churchill2019
Gaifman, H. (2006). Naming and Diagonalization, from Cantor to Godel to Kleene. Logic Journal of the IGPL, 14(5), 709-728. — https://ve42.co/Gaifman2006
Lénárt, I. (2010). Gauss, Bolyai, Lobachevsky–in General Education?(Hyperbolic Geometry as Part of the Mathematics Curriculum). In Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (pp. 223-230). Tessellations Publishing. — https://ve42.co/Lnrt2010
Attribution of Poincare’s quote, The Mathematical Intelligencer, vol. 13, no. 1, Winter 1991. — https://ve42.co/Poincare
Irvine, A. D., & Deutsch, H. (1995). Russell’s paradox. — https://ve42.co/Irvine1995
Gödel, K. (1992). On formally undecidable propositions of Principia Mathematica and related systems. Courier Corporation. — https://ve42.co/Godel1931
Russell, B., & Whitehead, A. (1973). Principia Mathematica [PM], vol I, 1910, vol. II, 1912, vol III, 1913, vol. I, 1925, vol II & III, 1927, Paperback Edition to* 56. Cambridge UP. — https://ve42.co/Russel1910
Gödel, K. (1986). Kurt Gödel: Collected Works: Volume I: Publications 1929-1936 (Vol. 1). Oxford University Press, USA. — https://ve42.co/Godel1986
Cubitt, T. S., Perez-Garcia, D., & Wolf, M. M. (2015). Undecidability of the spectral gap. Nature, 528(7581), 207-211. — https://ve42.co/Cubitt2015
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Special thanks to Patreon supporters: Paul Peijzel, Crated Comments, Anna, Mac Malkawi, Michael Schneider, Oleksii Leonov, Jim Osmun, Tyson McDowell, Ludovic Robillard, Jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Marinus Kuivenhoven, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal
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Executive Producer: Derek Muller
Writers: Adam Becker, Jonny Hyman, Derek Muller
Animators: Fabio Albertelli, Jakub Misiek, Ivy Tello, Jonny Hyman
SFX & Music: Jonny Hyman
Camerapeople: Derek Muller, Raquel Nuno
Editors: Derek Muller
Producers: Petr Lebedev, Emily Zhang
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https://wn.com/Math's_Fundamental_Flaw
Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription.
Special thanks to Prof. Asaf Karagila for consultation on set theory and specific rewrites, to Prof. Alex Kontorovich for reviews of earlier drafts, Prof. Toby ‘Qubit’ Cubitt for the help with the spectral gap, to Henry Reich for the helpful feedback and comments on the video.
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References:
Dunham, W. (2013, July). A Note on the Origin of the Twin Prime Conjecture. In Notices of the International Congress of Chinese Mathematicians (Vol. 1, No. 1, pp. 63-65). International Press of Boston. — https://ve42.co/Dunham2013
Conway, J. (1970). The game of life. Scientific American, 223(4), 4. — https://ve42.co/Conway1970
Churchill, A., Biderman, S., Herrick, A. (2019). Magic: The Gathering is Turing Complete. ArXiv. — https://ve42.co/Churchill2019
Gaifman, H. (2006). Naming and Diagonalization, from Cantor to Godel to Kleene. Logic Journal of the IGPL, 14(5), 709-728. — https://ve42.co/Gaifman2006
Lénárt, I. (2010). Gauss, Bolyai, Lobachevsky–in General Education?(Hyperbolic Geometry as Part of the Mathematics Curriculum). In Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (pp. 223-230). Tessellations Publishing. — https://ve42.co/Lnrt2010
Attribution of Poincare’s quote, The Mathematical Intelligencer, vol. 13, no. 1, Winter 1991. — https://ve42.co/Poincare
Irvine, A. D., & Deutsch, H. (1995). Russell’s paradox. — https://ve42.co/Irvine1995
Gödel, K. (1992). On formally undecidable propositions of Principia Mathematica and related systems. Courier Corporation. — https://ve42.co/Godel1931
Russell, B., & Whitehead, A. (1973). Principia Mathematica [PM], vol I, 1910, vol. II, 1912, vol III, 1913, vol. I, 1925, vol II & III, 1927, Paperback Edition to* 56. Cambridge UP. — https://ve42.co/Russel1910
Gödel, K. (1986). Kurt Gödel: Collected Works: Volume I: Publications 1929-1936 (Vol. 1). Oxford University Press, USA. — https://ve42.co/Godel1986
Cubitt, T. S., Perez-Garcia, D., & Wolf, M. M. (2015). Undecidability of the spectral gap. Nature, 528(7581), 207-211. — https://ve42.co/Cubitt2015
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- published: 22 May 2021
- views: 27915597
1:51
WHITEHEAD, Alfred North, & Bertrand Russell. Principia Mathematica.
First editions, an exceptionally rare presentation copy, inscribed by Whitehead on the front free endpapers of volumes I and II to his only sister, Shirley Mari...
First editions, an exceptionally rare presentation copy, inscribed by Whitehead on the front free endpapers of volumes I and II to his only sister, Shirley Maria Whitehead (1858-1943), “S.M.W. from A.N.W.”, and dated “March 13 / 12” in the second volume (preceding publication in April).
In 1891 Shirley Maria married Alfred’s former Sherborne School mathematics master, the Rev. John Blanch (1842-1907), whom Alfred held in high esteem - in 1898 he presented him with an inscribed copy of his first book, Treatise on Universal Algebra with Applications. The marriage however is recorded as unhappy by Victor Lowe in his biography of Whitehead, and Blanch died by suicide in 1907, before the publication of the Principia Mathematica. Shirley continued to reside in Cambridge, where both Russell and Whitehead studied, and where they collaborated in writing the Principia.
To our knowledge the only other presentation copy to have appeared on the market was that in the collection of Haskell F. Norman, which was presented to the mathematical philosopher Philip Jourdain. That copy, however, had only presentation slips from the publisher, rather than being inscribed directly by an author as here - it garnered $129,000 in the Norman sale in 1998.
The authors are known to have sent complimentary copies to the library of Trinity College, Cambridge, of which they both were or had been Fellows, to R. G. Hawtrey, who checked over some of the text while it was in preparation, to G. G. Berry, a clerk at the Bodleian Library with remarkable abilities in mathematical logic, and to Jourdain. The University Press sent copies to G. Peano, G. Frege, L. Couturat, J. Royce, W. E. Johnson (who had examined the manuscript for the Press), E. W. Hobson, and A. R. Forsyth. We cannot trace the location of any of these copies, other than Jourdain’s and the copy remaining in Trinity College, Cambridge.
In the Principia, Whitehead and Russell attempted to construct “the whole body of mathematical doctrine by logical deduction from the basis of a small number of primitive ideas and a small number of primitive principles of logical inference” (DSB, XII, p. 14). This ‘logicist’ position holds that mathematics is as a branch of logic, and thus “that a separate philosophy of mathematics does not exist, a view contradicting the Kantian doctrine that mathematical proofs depend on a priori forms of intuition ... the three colossal volumes of Principia Mathematica ... formed the greatest single contribution to symbolic logic for the time” (ODNB). Russell wrote to Helen Flexner that he doubted anyone would read it all the way through, and it is renowned for its extraordinary complexity and impenetrability, yet nonetheless, it has been correctly called “one of the most impressive intellectual monuments of the twentieth century” (ibid.). A fourth volume, dealing with the applications to geometry, was planned but never finished, as both men turned their attention away from mathematics and towards philosophy.
Aside from the desirable presentation, this is one of only 500 possible complete sets - the first volume was printed in 750 copies, but the publishers reduced the printings of volumes II and III to 500 copies each. John Slater, Emeritus Professor of Philosophy at the University of Toronto and editor of The Collected Papers of Bertrand Russell, suggests that there are probably fewer than 50 sets surviving in private hands.
https://wn.com/Whitehead,_Alfred_North,_Bertrand_Russell._Principia_Mathematica.
First editions, an exceptionally rare presentation copy, inscribed by Whitehead on the front free endpapers of volumes I and II to his only sister, Shirley Maria Whitehead (1858-1943), “S.M.W. from A.N.W.”, and dated “March 13 / 12” in the second volume (preceding publication in April).
In 1891 Shirley Maria married Alfred’s former Sherborne School mathematics master, the Rev. John Blanch (1842-1907), whom Alfred held in high esteem - in 1898 he presented him with an inscribed copy of his first book, Treatise on Universal Algebra with Applications. The marriage however is recorded as unhappy by Victor Lowe in his biography of Whitehead, and Blanch died by suicide in 1907, before the publication of the Principia Mathematica. Shirley continued to reside in Cambridge, where both Russell and Whitehead studied, and where they collaborated in writing the Principia.
To our knowledge the only other presentation copy to have appeared on the market was that in the collection of Haskell F. Norman, which was presented to the mathematical philosopher Philip Jourdain. That copy, however, had only presentation slips from the publisher, rather than being inscribed directly by an author as here - it garnered $129,000 in the Norman sale in 1998.
The authors are known to have sent complimentary copies to the library of Trinity College, Cambridge, of which they both were or had been Fellows, to R. G. Hawtrey, who checked over some of the text while it was in preparation, to G. G. Berry, a clerk at the Bodleian Library with remarkable abilities in mathematical logic, and to Jourdain. The University Press sent copies to G. Peano, G. Frege, L. Couturat, J. Royce, W. E. Johnson (who had examined the manuscript for the Press), E. W. Hobson, and A. R. Forsyth. We cannot trace the location of any of these copies, other than Jourdain’s and the copy remaining in Trinity College, Cambridge.
In the Principia, Whitehead and Russell attempted to construct “the whole body of mathematical doctrine by logical deduction from the basis of a small number of primitive ideas and a small number of primitive principles of logical inference” (DSB, XII, p. 14). This ‘logicist’ position holds that mathematics is as a branch of logic, and thus “that a separate philosophy of mathematics does not exist, a view contradicting the Kantian doctrine that mathematical proofs depend on a priori forms of intuition ... the three colossal volumes of Principia Mathematica ... formed the greatest single contribution to symbolic logic for the time” (ODNB). Russell wrote to Helen Flexner that he doubted anyone would read it all the way through, and it is renowned for its extraordinary complexity and impenetrability, yet nonetheless, it has been correctly called “one of the most impressive intellectual monuments of the twentieth century” (ibid.). A fourth volume, dealing with the applications to geometry, was planned but never finished, as both men turned their attention away from mathematics and towards philosophy.
Aside from the desirable presentation, this is one of only 500 possible complete sets - the first volume was printed in 750 copies, but the publishers reduced the printings of volumes II and III to 500 copies each. John Slater, Emeritus Professor of Philosophy at the University of Toronto and editor of The Collected Papers of Bertrand Russell, suggests that there are probably fewer than 50 sets surviving in private hands.
- published: 27 Jan 2023
- views: 1368
17:00
The Most Famous Physics Textbook
A look at Isaac Newton's Principia Mathematica (Mathematical Principles of Natural Philosophy). This great physics book first published in 1687 contains Newton'...
A look at Isaac Newton's Principia Mathematica (Mathematical Principles of Natural Philosophy). This great physics book first published in 1687 contains Newton's laws of motion and includes work on the motion of bodies including the inverse square law.
The copy shown in this video has been translated into English (from Latin) by Andrew Motte and Revised by Florian Cajori. There are free PDFs online but if you want a physical copy: https://amzn.to/3foeKFe
💌 Your invitation to subscribe to my channel: https://www.youtube.com/user/tibees?s...
Other videos of mine that you might enjoy:
📕 MIT Astrophysics exam: https://youtu.be/v1IgfeYSM5U
⏳ America's Toughest Math Exam: https://youtu.be/u03ST3ho9OU
🍪 Baking ancient Mathematics: https://youtu.be/CoVTAAQ41Eg
social media:
Twitter: @TobyHendy
Patreon: https://www.patreon.com/Tibees
https://wn.com/The_Most_Famous_Physics_Textbook
A look at Isaac Newton's Principia Mathematica (Mathematical Principles of Natural Philosophy). This great physics book first published in 1687 contains Newton's laws of motion and includes work on the motion of bodies including the inverse square law.
The copy shown in this video has been translated into English (from Latin) by Andrew Motte and Revised by Florian Cajori. There are free PDFs online but if you want a physical copy: https://amzn.to/3foeKFe
💌 Your invitation to subscribe to my channel: https://www.youtube.com/user/tibees?s...
Other videos of mine that you might enjoy:
📕 MIT Astrophysics exam: https://youtu.be/v1IgfeYSM5U
⏳ America's Toughest Math Exam: https://youtu.be/u03ST3ho9OU
🍪 Baking ancient Mathematics: https://youtu.be/CoVTAAQ41Eg
social media:
Twitter: @TobyHendy
Patreon: https://www.patreon.com/Tibees
- published: 15 Jun 2019
- views: 301150
6:03
The 360-Page Proof That 1+1=2
Sign up for the free Morning Brew newsletter: https://morningbrewdaily.com/halfasinteresting
Get a Half as Interesting t-shirt: https://standard.tv/collections...
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Get a Half as Interesting t-shirt: https://standard.tv/collections/half-as-interesting
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Video written by Ben Doyle
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https://wn.com/The_360_Page_Proof_That_1_1_2
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Suggest a video and get a free t-shirt if we use it: http://halfasinteresting.com/suggest
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Video written by Ben Doyle
Check out my other channel: http://youtube.com/wendoverproductions
- published: 27 Apr 2022
- views: 1733800
1:05:07
Principia Mathematica - 1st Edition - Volume 1 - Part I - *1 to *5
This is the first video in a series of videos which I am planning to make analysing the contents of the first edition of Whitehead and Russell's Principia Mathe...
This is the first video in a series of videos which I am planning to make analysing the contents of the first edition of Whitehead and Russell's Principia Mathematica.
This video is a streamlined version of my previously uploaded videos covering Part I, section A, The Theory of Deduction, *1 to *5 of Part I - Mathematical Logic.
This video looks at the primitive ideas and primitive propositions of the system of logic that Whitehead and Russell introduce in Principia Mathematica, followed by some of the immediate consequences of these primitive propositions.
The edition of Principia Mathematica that I am referring to in this video can be found using the link below:
https://archive.org/details/principiamathema01anwh/page/n15/mode/2up
https://wn.com/Principia_Mathematica_1St_Edition_Volume_1_Part_I_1_To_5
This is the first video in a series of videos which I am planning to make analysing the contents of the first edition of Whitehead and Russell's Principia Mathematica.
This video is a streamlined version of my previously uploaded videos covering Part I, section A, The Theory of Deduction, *1 to *5 of Part I - Mathematical Logic.
This video looks at the primitive ideas and primitive propositions of the system of logic that Whitehead and Russell introduce in Principia Mathematica, followed by some of the immediate consequences of these primitive propositions.
The edition of Principia Mathematica that I am referring to in this video can be found using the link below:
https://archive.org/details/principiamathema01anwh/page/n15/mode/2up
- published: 14 Jun 2022
- views: 11161