The History of Non-Euclidian Geometry - Sacred Geometry - Extra History - #1
Added 2018-05-25 17:30:01 +0000 UTCBefore we get into non-Euclidian geometry, we have to know: what even is geometry? What's up with the Pythagorean math cult? Who was Euclid, for that matter? And what the heck is the 5th Postulate?
Comments
Odd question, I haven't looked at this in a while, but is Euclid's geometry assumed to be on a 2 dimensional plane? If not are the intersecting lines in the 5th postulate assumed to be on a 2 dimensional plane? Because it seems to me that in 3 dimensions 2 lines could both intersect a third line, forming acute interior angles to one side, and cross without ever intersecting.
Van Butler
2018-05-29 21:47:21 +0000 UTCI know that feel
Gilad
2018-05-28 08:21:05 +0000 UTCOh no Dan's voice I'm already sad!
William Reeck
2018-05-27 15:47:21 +0000 UTCAnd that is exactly what this series will presumably be about.
Cifer
2018-05-27 14:32:18 +0000 UTCYeah, I think YT is putzing with the feed system again.
Cifer
2018-05-27 14:31:40 +0000 UTCI think you might need to be in the delicate place between "We have more than enough wheat to never grow hungry" and "We must spend three quarters of the day to make sure we have any wheat at all."
Cifer
2018-05-27 14:30:13 +0000 UTCI've had that issue with another channel today; the video simply isn't showing up in my subscriptions, despite the fact that I know it's up.
Natasha Taylor
2018-05-27 07:24:21 +0000 UTCStay back a witch! I have a sword and I know many ways to use it!
Quinlan Vuong
2018-05-26 21:59:09 +0000 UTCDon't discriminate. Equal right of access for all [nerds].
David Blair
2018-05-26 21:09:14 +0000 UTCSeeing as how what they say is effectively "parallel lines never meet" I'd have LOVED to see the look on Euclid's face when you hand him a paper Moebius strip... :D
Porcupine
2018-05-26 20:57:49 +0000 UTCIt's so simple though, all it says is you don't have to say anything if you don't want to... :P
Porcupine
2018-05-26 20:54:43 +0000 UTCOdd this does not show on my YouTube. Btw I you going to keep updating the chronological order playlist? I was wondering if this would go to the start or later.
Sara Samaletdin
2018-05-26 17:45:13 +0000 UTCWhy couldn't the math nerds stay out of my history nerd sanctuary darn it
Quinlan Vuong
2018-05-26 17:35:07 +0000 UTCGeometry, my old foe. We meet again.
Jonathan Luoto
2018-05-26 16:07:17 +0000 UTCSo...elementary my dear Watson?
Darren Loo
2018-05-26 14:32:06 +0000 UTCMath Cult? what an ODD combo. :3
Thomas Alfred Weaver
2018-05-26 13:43:44 +0000 UTCI've been waiting for these videos ever since "God Does Not Play Dice" video for Extra Credits. Actually exploring how the thinking of geometry and math in general is dependent on that Godel's theorem.
Justin M.
2018-05-26 03:41:40 +0000 UTCBut Extra Credits/History/Sci-fi will continue and that's important because it means the channel is bigger than two people. We get a legacy that can go on with new people. One day James will leave too and someone new will replace him. Then we'll see if this channel is more than the sum of its parts.
Jason Youngberg
2018-05-26 03:02:25 +0000 UTCI know it hurts but I like the phrasing because it means one of the two lines crossing the initial line can be at an obtuse angle (greater than 90 degrees) and still intersect the other line provided that line is acute angle (less than 90 degrees) small enough so both in total is less than 180 degrees.
Jason Youngberg
2018-05-26 02:59:45 +0000 UTCThis was really engaging and fascinating, and then the episode had to end. :( Which is to say, I really enjoyed this one and am super looking forward to the next one!
Sientir
2018-05-26 02:56:15 +0000 UTCThat’s because most students of history chose the field to avoid math.
Rossum
2018-05-26 00:54:16 +0000 UTCMath history is pitifully neglected in pretty much any syllabus. I'm really interested in the people and circumstances that prompted the creation of complex number systems. Given how modern people so often hate studying numbers, it's hard to imagine what drove ancient people to create number systems out of nothing.
Keith Richards
2018-05-26 00:28:09 +0000 UTCThe 5th gives my brain cramps
Jacob Ashton
2018-05-26 00:09:58 +0000 UTCI kinda wish they had devoted more time to the Pythagoreans.
Joshua Evans-Lowell
2018-05-25 23:13:47 +0000 UTCCrash Course is currently doing a series on the History of Science.
Joshua Evans-Lowell
2018-05-25 23:13:22 +0000 UTCOne thing that's probably worth pointing out is that while the Greeks were the first to write proper textbooks of this geometry, most of the calculations were known in Egypt, India and Mesopotamia centuries or even millennia before. We've got plenty of cuneiform tablets using the Pythagorean theorem to calculate surface areas and you couldn't really build pyramids without some idea of them either. This is not to take anything away from properly writing it down and clarifying it, nor from the act of trying to understand the underlying logic. It's purely a matter of remembering that not all wisdom flowed from the Greek like it has been tradition to think in Europe. Indeed, some modern math relies on Indian mathematics the Greek never knew about, like the concept of zero or algebra using equations as opposed to geometry.
Christina Maria Jessen
2018-05-25 22:00:58 +0000 UTCso will this series require one off's ?
schuyler
2018-05-25 21:25:01 +0000 UTCNever thought I’d get frustrated over a cliffhanger about geometry. Yet here I am. Can’t wait for the next video.
Skylar Ross
2018-05-25 20:59:14 +0000 UTCThere is that one lovely Philip Glass composition about the geometry of circles.... <a href="https://youtu.be/4JWwOzEDGss" rel="nofollow noopener" target="_blank">https://youtu.be/4JWwOzEDGss</a>
Extra History
2018-05-25 19:21:28 +0000 UTCI've wanted this one for so long - I'm very excited!
Stephen Phillips
2018-05-25 18:48:35 +0000 UTCLove the Kiner Bros music for this series! Reminds me of Philip Glass...
Jason Fox
2018-05-25 18:04:59 +0000 UTCHey, great series starter! Oh, the times where you could go found a mystery cult based on... math. I'm very excited to see where this will be going. That said, while the illustrations are great as usual, I must say I found parts of the animation a little jarring, particularly those "spring up and wobble" effects at 1:47 and 2:15. I think simply putting them there without the special effects might have felt more natural. Anyway, here's to the first Dan's (would that be a shodan?) final series around these parts!
Cifer
2018-05-25 17:50:52 +0000 UTCWhen I heard that this series was coming I got way to excited. Now it's here and I couldn't be happier. This is the best send of series for Dan in my eyes. Can't wait to see where this goes!
Fang
2018-05-25 17:45:19 +0000 UTCAgreed.
Martin Verran
2018-05-25 17:35:09 +0000 UTCAT LAST! I've always said that Extra Credits NEEDS to Cover the History of Science! "The Square on the Hypotenuse of a Right~Angled Triangle has what in Common with the Sum of the other Two Sides?" I have Asked that Question to our Pigs on many Occasions, and so far the only Answer has been, "Oink!"
Martin Verran
2018-05-25 17:35:01 +0000 UTCOh, it's gonna be sad when this series is over and Dan is finally gone...
Heath Dionne
2018-05-25 17:31:18 +0000 UTC
