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The History of Non-Euclidian Geometry - The World We Know - Extra History - #5 (Patreon)

Published:
2018-06-22 17:31:00
Imported:
2026-06
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Up until the 20th century, people assumed light behaved like a wave, passing through the "aether wind"--a fluid with incomprehensible properties. When the Michelson-Morley experiment disproved the aether's existence, Einstein put out the theory of relativity--that space and time were part of the same package.

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The History of Non-Euclidian Geometry - The World We Know - Extra History - #5

Up until the 20th century, people assumed light behaved like a wave, passing through the "aether wind"--a fluid with incomprehensible properties. When the Michelson-Morley experiment disproved the aether's existence, Einstein put out the theory of relativity--that space and time were part of the same package. Support us on Patreon! http://bit.ly/EHPatreon (--More below) Subscribe for new episodes every week! http://bit.ly/SubToEC Grab your Extra Credits gear at the store! http://bit.ly/ExtraStore Thanks for participating in this week's discussion! We want you to be aware of our community posting guidelines so that we can have high-quality conversations: https://goo.gl/HkzwQh Contribute community subtitles to Extra Credits: http://www.youtube.com/timedtext_cs_panel?c=UCCODtTcd5M1JavPCOr_Uydg&tab=2 Talk to us on Twitter (@ExtraCreditz): http://bit.ly/ECTweet Follow us on Facebook: http://bit.ly/ECFBPage Get our list of recommended games on Steam: http://bit.ly/ECCurator ___________ Would you like James to speak at your school or organization? For info, contact us at: contact@extra-credits.net ____________ ♪ Get the intro music here! http://bit.ly/1EQA5N7 *Music by Demetori: http://bit.ly/1AaJG4H ♪ Get the outro music here! http://bit.ly/23isQfx *Music by Sean and Dean Kiner: http://bit.ly/1WdBhnm

Comments

Martin Verran

How many Episodes will there be in this Series?

Samp

This Lobachevsky is the same from Tom Lehrer's song? If yes, can you talk about this on lies?

BrandonC

Thank you to Whomever sponsored the upcoming series. I am very much looking forward to it.

Jason Fox

Bravo! I know you only touched upon it at the end of this episode, but it's another interesting deep dive into math about there will be parts of geometry that will remain unsolvable. Remember that about 15 years after General Relativity, Godel presented his Incompleteness Theorems that showed that even first-order arithmetic will have unprovable elements. The work of all of math during the late 19th and early 20th centuries is incredibly fascinating!

schuyler

what will the one off be ?

Ethel_Mezezi

6:13 Mr. Math, I don't feel so good...

jesyspa

"Our knowledge is always evolving. It means that it might be the wrong idea to think of mathematics as 'true' or 'not true'. Rather, it might be more useful to simply ask 'is it well reasoned?' This frees us from the trap of having to prove the unprovable, and allows us to find reason in the unreasonable." This is a really fascinating question, and I'm glad it's mentioned! I do think that it's not quite so simple: 'is it well reasoned?' presumes the existence of a fixed reasoning system, which not everyone (*cough* Brouwer *cough) agrees with. Moreover, even if we assume a fixed metalogic that we're all okay with and then study a logic within it (this is the way geometry is treated in this series, for example), we can say "any consistent system is good", but this clashes against our intuitions: if the logic of natural numbers (Peano Arithmetic) is consistent, then it remains consistent if we add the assumption that it is *not* consistent! (This is all getting very far from the original topic, of course.) PS: Can't wait for your quantum computing series!

Juan Alberto Aranda Alvarez

This series made me become a Patron. You did such a good job of explaining such an important discovery! Now is going to be so easy for me to explain to my 12 year old child why Einstein is so important. Than you.

Dusk Star

Regarding the Quantum Mechanics / Quantum Computing videos - would it be possible to suggest running the scripts by someone like Scott Aaronson? So much reporting and pop science gets things horrifyingly wrong, and I don't want to see that happen here.