The History of Non-Euclidian Geometry - A Most Terrible Possibility - Extra History - #4
🕑 Added 2018-06-15 17:30:01 +0000 UTC 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.
Comments
Bill Lemmond
At least they didn't make the mistake of concluding that it was proved, and then be embarrassed by later generations of backtracking.
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.
Hao Sun
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)
Anthony Farrell
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.
Paul Lenoue
_LOVE_ the illustrations of mathematicians' minds being befuddled! HA!
Paul Lenoue
Newton and Walpole... that would be an interesting alt-history novel.
Quinlan Vuong
"our son! Our most beautiful son! I shall name him.... Farkas."
Darren Loo
F'thagan n' all that.
Jonathan Morton
I would support a second Patreon page or up my support of this one if it helped get an ExtraMath page going.
Taum Wuthicharn
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.
Stephen Phillips
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
Tammy Spiller
I see what you did there with Great Cthulu :) Excellent job so far.
Julia Augusta
I mean, he intersects with so many of the past series: He was in Parliament during the South Sea Bubble, he was head of the mint as gold replaced silver as the reserve currency, and now, here in NEG.
Julia Augusta
So, General Relativity next week?
Julia Augusta
I literally submit Newton for every "Submit a Topic" drawing.
Martin Verran
Is anyone Else Thinking that Descartes and Newton Deserve a Series of their Own after last Week's Episode?