Euclidean & Non Euclidean Geometry | Schooling Terrence Howard
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Published 2024-06-16
This mini-lesson is about Euclidean vs. Non-Euclidean Geometry, Euclid's 5 Axioms / Postulates, the ancient Greek beginnings of Geometry as a field of Study, along with some of the historical motivation for the development of Non-Euclidean Geometry (the rejection of Euclid's fifth axiom, "the parallel postulate" as it is sometimes called.) This helped give birth to spherical (elliptical) and hyperbolic Geometry, which have proven to be extremely useful in describing concepts in the natural sciences, such as astrophysics. This video provides a digestible introduction to the concept of Non-Euclidean Geometry! Enjoy!
(Featuring excerpts of Terrence Howard's appearance on The Joe Rogan Experience)
Disclaimer: Videos featured for commentary are used in alignment with legal Fair Use of Copyrighted Materials. Section 107 of the Copyright Act of 1986 (17 U.S. Code § 107) states that fair use of copyrighted material "for purposes such as criticism, comment, news reporting, teaching (including multiple copies for classroom use), scholarship, or research, is not an infringement of copyright."
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All Comments (18)
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~~ Please Like & Subscribe if you enjoyed this video!! It really helps to support this small channel!! ~~ Takeaways from this video: 1. Geometry, as we know it today, is based mostly on Euclid's book The Elements, written in Ancient Greece. The geometric proofs still hold, and are still correct and useful today. 2. Euclidean Geometry is NOT based solely on the platonic solids. They're briefly described in Euclid's book The Elements, but they're not even claimed to be "foundational" or "fundamental" in any way. There are five platonic solids: 3-dimensional shapes made up of all congruent regular 2-dimensional polygons. 3. Plato had philosophical and religious beliefs where the platonic solids expressed Fire, Earth, Air, Water, and Aether. No one currently living adheres to any of these ancient religious beliefs (that I'm aware of....) But that's religion, not Science. So, not relevant to the discussion of Geometry and Measurement. 4. Euclidean Geometry is expressed in 0, 1, 2, and 3 dimensions. It can be expressed in higher dimensions. It's not "2-dimensional math". It's not "flat math". 5. Euclidean Geometry allows for both straight lines and curves. 6. Euclidean Geometry is based on 5 axioms about points, lines, and circles. The fifth axiom is about parallel lines. 7. Rejecting the 5th axiom allows us to consider other systems of "Non-Euclidean" geometry: namely, Spherical and Hyperbolic geometry. 8. Non-Euclidean Geometry has useful applications to fields such as global mapping and navigation, cosmology, GPS coordinates, and describing Einstein's spacetime curvature and theory of relativity and gravity. Among other useful technical applications. Euclidean Geometry is actually far more useful, and indeed a good knowledge of Euclidean Geometry is required in the understanding of Non-Euclidean Geometry. 9. Non-Euclidean Geometry has been widely known, studied, and used for many things, since the 19th century (18xx's). Our current understanding of math is not at all limited to only Euclidean Geometry.
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You need to see Neil DeGras Tyson’s recent video on Terrence Howard. He has the receipts of their exchange and he was surprisingly polite for having to deal with such drivel.
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The actor is relying on this age full of people willingly having their ignorance polished
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Exactly. The whole idea that mathematicians and scientists don't consider curvature is a straw man. It's like he never took calculus. Newton and Leibniz developed it about 350 years ago. It's all about curves. Does he think he's the first person to consider non Euclidean geometries? He didn't invent this idea, he learned it. It kills me that these conspiracy theorist new age guru types stand on the shoulders of giants and wizz on them.
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Yep! Not a single thing he claims, has anything to do with anything else he claims. Extreme apophenia!!!
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Yeah, I also found it extremely odd that he isn't a flurf. 😆😆😆 Even on acid, I never lost anything that I already knew. It's more like he got a hold of some bad 5Meo. 🤣🤣🤣
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I patented straight lines.
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Euclid’s Elements was written before The New Testament, but not before the Old Testament (which was compiled I believe in ancient Babylon).
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I find it disturbing that Joe Rogan gives this guy airtime just for the of traffic to his channel. Unfortunately almost 8 million subscribers support and funds his nonsense. Please contact Howard for a debate. Would love to see that :)
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🥳 YES! I was waiting with anticipation for your next terryology video lol
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Hey, don't think the Captain planet reference went without notice😂 I grew up on that jam. A long with beast wars, magic school bus, and recess. Man that brings me back
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Ugh. A mathematician chooses the axioms that are useful to the problem at hand. Also, thanks to Gödel, we know there are an infinite number of possible axioms. And no system we use is complete.
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I DO like the platonic solids. I like the way they are in dual pairs. The general notion of duals I find very deep. Duals in linear programming. In physics. They show up all over. Dual graphs. Veru cool. Sorry, I'm rambling
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How many (or few) think Howard brought forward anything of validity or value?
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Is mathematical method patentable? A method of calculation, formulation of equations, finding square roots, cube roots and all other methods directly involving mathematical methods are therefore not patentable.
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"I'm glad he finally set the record straight." It wasn't straight? Is there a Terrence Howard fan club? Who are these videos for? Yes, I don't have to watch them but I'd like you to consider what you're achieving for the time invested. Are you trying to demonstrate you're a very good teacher? (you are!) No one needs to make videos explaining why flat earthers and soverign citizens are off base ... who is having doubts? These videos are clearly taking you A LOT of time.
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So if I'm understanding correctly Euclidean Geometry is flat earth math
