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The History of Non-Euclidian Geometry - A Most Terrible Possibility - Extra History - #4 (Patreon)

Published:
2018-06-15 17:30:01
Imported:
2022-01

Content

What if the Fifth Postulate can't be proven at all? Bolyai and Lobachevsky introduced the case where our “parallels” could curve away from each other. And with that one small change, they unleashed a torrent of madness.

Files

The History of Non-Euclidian Geometry - A Most Terrible Possibility - Extra History - #4

In the early 19th century, people started to wonder if the Fifth Postulate couldn't be proven at all--meaning that it could be right, but it could also be wrong. Bolyai, Lobachevsky, and Riemann started exploring hyperbolic geometry and other strange realms... 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

Anonymous

Is anyone Else Thinking that Descartes and Newton Deserve a Series of their Own after last Week's Episode?

Anonymous
>>13110347

I literally submit Newton for every "Submit a Topic" drawing.

Anonymous

So, General Relativity next week?

Anonymous

I see what you did there with Great Cthulu :) Excellent job so far.

Anonymous

I was wondering if they were going to talk about projective geometry because that has some interesting ideas behind it, but the sphere is more intuitive

Anonymous

Are you guys going to explain Christofelle’s symbol and Riemann tensor? If you really could make it in an understandable and correctly, please for all the children out there make ExtraMath series.

Jonathan Morton

I would support a second Patreon page or up my support of this one if it helped get an ExtraMath page going.

Anonymous

F'thagan n' all that.

Anonymous

"our son! Our most beautiful son! I shall name him.... Farkas."

Paul Lenoue

_LOVE_ the illustrations of mathematicians' minds being befuddled! HA!

Anonymous

Thank you very much for this series. Until this episode, I've never really gotten exactly what was so revolutionary about non-Euclidean geometry, why it was so important to develop, and what it must have been like grappling with these concepts when they were first developed. It's been fantastic.

Anonymous

what took them so long to realize the 5th postulate cannot be proven??? in the axioms there really isn't anything that says a "line" is a line as we understand and not say a great circle on a sphere or that points cannot be lines and lines planes (projective geometry)

Bill Lemmond

Twitch Presents classic Doctor Who marathon has pushed everything else aside, which is why I'm so behind on Patreon goodies. Sorry. This has been great, and has given me my first real understanding of non-Euclidian geometry. I guess professors don't bother to introduce the general population, outside math majors, to it.

Bill Lemmond
>>13533151

At least they didn't make the mistake of concluding that it was proved, and then be embarrassed by later generations of backtracking.