Dope Tech Episode 2

<<@That1GrimReaper says : so, math does not prove the existence of people nor their home-worlds. A universe, if you will, describe it as such. Look, math is oversimplified. It's derived from strict adherence to logic. Logic derives math. Logic is more logistical and therefore HARDER. Logistics = HOW to solve a complicated problem. Complication = unnecessary sophistication of elements involved. Usually to the point of implying thee opposite of what's true. Which is where we define confusion. Confused = two opposite THINGIES combined somehow ideologically through ideation and conceptualization. There-in, i clarified a solution. Dont use math beyond scope.>> <<@MMelody33 says : If Gaus thought Bolyai's findings were impressive, why didn't he say it to him?>> <<@mohilgarg2348 says : 18:16 discovering nagarjuna's middle way from the first principles>> <<@niamhgirling6000 says : 28:41 Thanks for the beat before picking things back up... no, the world isn't flat... but the universe is. roflmao. Isn't the world of knowledge incredible?>> <<@Harsh-qm9bj says : How it feels watching S1E1>> <<@borispetrovchich3141 says : The term for these little triangles— conformal geometry>> <<@sonicaxy says : 28:35 - This is not actually 100% true. These data are derived only from the observable universe. The universe may be curved, but even if it is, its radius of curvature must be at least several times larger than the observable universe. It is more accurate to say, “The universe is consistent with being flat, and even if it is curved, it is curved on a massive scale,” rather than “The universe is flat.”>> <<@Divyansh_Kumar_ says : I didn't understand the point that universe is flat and somehow we live in three dimensions>> <<@damabaith says : Its kinda insane that folks spent 2000 years acting like this dude was 100% right and basing all of our math on it. Even though its literally kept our math back lmao>> <<@vera_nadezhda says : wow!!>> <<@blitzvonsable6367 says : 17:28 My personal interpretation of definition 1 to 4 is the following: Definition 1: points are where lines intersect to form areas and are not a part of the surface/part formed Definition 2: A line is considered by its width when its length is considered indefinite Definition 3: lines are given definite dimensions (length and width) when there are points on either end that remove the need for extrapolation Definition 4: a line will always have theoretical points across itsself that occur at regular/irregular intervals that will always align with the line indefinitely and can be used to set end points for the creation of a finite length that has been determined or be considered theoretical and to be derived from a data trend to which the theoretical points can be extrapolated. Edit: 5th postulate: two lines that are part of an irregular surface/ surface that undergoes a uniform curvature at an irregular region/section creates the opportunity for a tangent interaction/line forms a plane angle>> <<@JesseRowlins says : Hinduism's oldest texts already speak about multiverses...called lokas>> <<@basharissa4954 says : All are ignoring postulate 0: if straight line began to curve by extending, it won't be straight. so 2d geometries other than euclidean are impossible. the nature growth is 3d geometry. maybe euclidean think that postulate 0 is true by itself more than postulate so he didn't mention it.>> <<@leftnut.o says : 3:52 this shits basically just intro too Physics>> <<@jessebeegee says : what is the issue here? it makes perfect sense and yet u have made a video scratching ur heads over it>> <<@Sayori67 says : So basically Gauss is a KDA player>> <<@gonzalomcordovez says : This is an amazing video!!! Loved it>> <<@nueralsage says : The earth might not be flat, but the universe is!!!!>> <<@fubblitious says : Could a point not just be a circle of zero radius ... except to anchor the circle you need a point at its centre I guess ... and you cant define anything that follows without the point ... or the whole thing would be pointless ... gg Euclid, "having no part" works for me. :)>> <<@GeometryofShame says : This unnecessarily drawn out and obfuscated TO EXTRACT YOUR TIME (MONEY). All you have to understand is fractal toroidal HARMonic RESONANCE.>> <<@Cs3ka says : How could you BUTCHER Bolyai's name that much>> <<@James-ll3jb says : 3. Given a center and a radius, you can draw a circle. Yessuh!>> <<@BratwurstIII says : WOW, that escelated quickly from Triangels to the Universe... :-) Very good video with great explenation. The one Reason for us to not know how the Universe was built could also be the fact, that God created it the way it is. Nevertheless those greate Maths show us how great the Universe is created.>> <<@3xFirm says : I thought this was just another video i was gonna nap to 20+ min in did not know what anything meant like usual I heard behavior that was the only word I didn’t need to google then the math started mathing😂 dude I can’t divide on paper/ actually show my work and I’m 25>> <<@Kezoman1 says : Euclid’s definitions make perfect sense and I can’t see what that guest speaker is talking about. Instead of being a deep thinker, he sounds more like a slow thinker. 🤔>> <<@michaelrobinson167 says : Did Gauss write letters in English?>> <<@itscanadalol says : Euclid was probably just saying "yeah these four are boring... Hear me out on the fifth..." and wrote a paragraph so controversial the math community tried and failed to challenge it for 2000 years>> <<@jj74qformerlyjailbreak3 says : The Fifth Postulate is the easiest once you read it a couple times.>> <<@benmaharaj6854 says : If I had to guess Euclid knew the fifth postulate was just as true as the others but couldn’t build a theorem from the others so it had to be a postulate. There is an intuitive truth to it. The incredulity of later mathematicians is odd to me. It’s not like Euclid said all the postulates had to be short sentences. It’s like fans rejecting a plot point because they don’t like it.>> <<@abrarfuadornob says : 24:13 So, it's official that the human brain is faster than light.>> <<@EventSlice says : One sentence. No diagrams. Just casually broke geometry’s brain for twenty centuries. That’s not writing — that’s planting a time bomb in pure math.>> <<@Mike-sv2nu says : WOW! Gauss was an asshole>> <<@andreasmattas says : 17:30 @Professor Alex Kontorovich noted that learning ancient Greek allows one to attain a precise understanding of the underlying meaning of concepts, whereas English, by contrast, is an entirely vague language.>> <<@Taras-i3f says : 23:18 supernova? u mean discord light mode?>> <<@Kalo_agori says : Bolyai just aura farming in the military.>> <<@samardevchauhan2989 says : No words 🙌🙌🙌🙌>> <<@jorgevega3743 says : Its crazy how us monkeys have made books and books thinking about an arbitrary rule a guy 3000 years ago came up with 😂>> <<@piloto015 says : mas essas linhas não são retas né galera... o cara transformou o plano numa superficie de um objeto qualquer. aí da pra fazer uma matematica nova encima de uma superficie cubica, conica, esferica e por ai vai, não é isso? eu parei de estudar matematica na multiplicação e divisão. mas pelo q entendi é isso.>> <<@TheScottybobear says : Are you in a storage facility? Son. You are blaming other people and counter culture for your lack of success. Take a shower and get out there. I’m Gen X. 57. You haven’t even scratched the surface of what my generation went through. Kick yourself in the ass and be who you are. You are good looking and beautiful. Use that! Peace Son. Im not your biological dad but I adopted a boy that is 42 now. I know you!>> <<@proultragamerz4406 says : 2:10 Evclid?>> <<@mecha-sheep7674 says : "to perhaps the greater mathematician of all times".. Newton ? Leibniz ? Euler ? No, this time, it's Gauss.>> <<@Quantumtumbler says : The wild part isn’t that the 5th postulate was hard. It’s that people spent 2,000 years trying to prove something that was never supposed to be a theorem. Sometimes the “problem” is just a hidden assumption.>> <<@chrisschene8301 says : Thanks!>> <<@rufussweeneymd says : Wait.. the universe is flat? I am having a very hard time wrapping my head around that.>> <<@CarmineFragione-u1t says : In an expanding Universe, two lines that at any time are parallel, they must spread apart or converge and cross over each other, because the medium or canvas upon which the lines are drawn is not stable , and forces everything to change .>> <<@VAC-Electricity says : Yooo!! Hyperbolic crochet mention!!! Truly, a man of culture! Sidenote: Hyperbolic crochet is actually incredibly easy to do, even for beginners, and it shows up everywhere, especially in Amigarumi, where you're making spheres and similar curved surfaces to create plushies. For the ever-increasing ruffle shape - like shown in the video- You just start crocheting in the round with your stitch of choice, and on every round after the first, add regularly spaced increases (i.e. increase every stitch for the tightest ruffle, or increase once every set number of stitches for a looser ruffle, whichever looks best for your combo of yarn and stitch type). Very quickly, you'll start getting a coral-like shape that ruffles up into a sphere. There are other shapes you can make too. for example, if you start from a foundation chain (working around both sides as if you were crocheting the bottom of a slipper) you can get long ruffled shapes that look like kelp!). It's a great way to use up spare yarn you don't know what to do with. I like to use acrylic yarn for any kind of "sculptural" crochet because it holds its shape well, and I like to use the Half-double crochet (the stitch between SC and DC in US crochet terms) as it works up faster than SC while still keeping the rounds fairly compact. The reason it's so easy to model hyperbolic surfaces like this is that when you're crocheting 1 st per st of the previous row, you're making a mesh of squares (which creates a flat sheet), but when you increase or decrease, you're inserting pentagons into the mesh. Since pentagons can't tile a flat plane, they pull the sheet into a 3D curve. Shoutout to Daina Taimina for using crochet to create the first physical models of hyperbolic manifolds. Truly a legend.>> <<@JD-ev1uj says : LOL, God tells us His Kingdom is not of this world He said to Pilate. You know, the Atheist has it all wrong. They should know there is a realm invisible to them whether you describe it as a universe or a Heaven. Oh there's another realm too. I think you know what I mean. Called Hell. THE POSITIVE AND THE NEGATIVE RUN DEEPER THAN YOU THINK.>> <<@giampaolo9983 says : 1:25 While the Elements was a revolution in math, having postulates is not too much different from having recurrent definitions or theorems: one can logically found a whole set of theorems on both of them and they both may project a "mathematical world".>> <<@vmadhavan435 says : music at 27:00 pls>> <<@blindraven-o7 says : cant believe euclid didnt ponder his orb>>