Greek number theory (b) | Math History | NJ Wildberger
The ancient Greeks studied squares, triangular numbers, primes and perfect numbers. Euclid stated the Fundamental theorem of Arithmetic: that a natural number could be factored into primes in essentially a unique way. We also discuss the Euclidean algorithm for finding a greatest common di
From playlist MathHistory: A course in the History of Mathematics
Greek number theory (a) | Math History | NJ Wildberger
The ancient Greeks studied squares, triangular numbers, primes and perfect numbers. Euclid stated the Fundamental theorem of Arithmetic: that a natural number could be factored into primes in essentially a unique way. We also discuss the Euclidean algorithm for finding a greatest common di
From playlist MathHistory: A course in the History of Mathematics
Divine Proportions: Rational Trigonometry to Universal Geometry
I discuss my book Divine Proportions: Rational Trigonometry to Universal Geometry, which gives a novel way of thinking not only about trigonometry, but also Euclidean geometry. It also lays the ground work for a more rational and logical approach to other geometries, including hyperbolic g
From playlist MathSeminars
Definitions, specification and interpretation | Arithmetic and Geometry Math Foundations 44
We discuss important meta-issues regarding definitions and specification in mathematics. We also introduce the idea that mathematical definitions, expressions, formulas or theorems may support a variety of possible interpretations. Examples use our previous definitions from elementary ge
From playlist Math Foundations
Pythagorean theorem - What is it?
► My Geometry course: https://www.kristakingmath.com/geometry-course Pythagorean theorem is super important in math. You will probably learn about it for the first time in Algebra, but you will literally use it in Algebra, Geometry, Trigonometry, Precalculus, Calculus, and beyond! That’s
From playlist Geometry
Logic: The Structure of Reason
As a tool for characterizing rational thought, logic cuts across many philosophical disciplines and lies at the core of mathematics and computer science. Drawing on Aristotle’s Organon, Russell’s Principia Mathematica, and other central works, this program tracks the evolution of logic, be
From playlist Logic & Philosophy of Mathematics
Reconsidering natural numbers and arithmetical expressions | Data structures Math Foundations 185
It is time to turn our gaze back to the true foundations of the subject: arithmetic with natural numbers. But now we know that the issue of "What exactly is a natural number?" is fraught with subtlety. We adopt a famous dictum of Errett Bishop, and start to make meaningful distinctions bet
From playlist Math Foundations
The problem with `functions' | Arithmetic and Geometry Math Foundations 42a
[First of two parts] Here we address a core logical problem with modern mathematics--the usual definition of a `function' does not contain precise enough bounds on the nature of the rules or procedures (or computer programs) allowed. Here we discuss the difficulty in the context of funct
From playlist Math Foundations
Sonic Geometry: The Language of Frequency and Form
UPDATE! You can now experience Sonic Geometry LIVE inside the world famous Integratron near Joshua Tree, California! We have been hosting numerous events inside this amazing "Cellular Rejuvenation Machine" since 2017, and you are invited to participate in our ongoing experiments there. P
From playlist Julia
Unearthed: Mayan City of Blood (S1, E1) | Full Episode
S1 E1: Mayan City of Blood (Premiered 07/05/2016) The city of Chichen Itza contains secrets of a mysterious civilization. Continue Watching Full Episodes of Unearthed: https://www.sciencechannel.com/tv-shows/unearthed/ Subscribe to Science Channel: http://bit.ly/SubscribeScience Like u
From playlist Free Science Channel Episodes
My FIRST EVER Math Meme Review #succ(3)
Check out Brilliant to learn math that makes you understand deez memes :p https://brilliant.org/FlammableMaths Check out my newest video over on @FlammysWood! =D https://youtu.be/b4Y7XNBJZEQ Support the channel by checking out Deez Nutz over on https://stemerch.eu/products/deez-nuts-premiu
From playlist Skits
Number Theory - Fundamental Theorem of Arithmetic
Fundamental Theorem of Arithmetic and Proof. Building Block of further mathematics. Very important theorem in number theory and mathematics.
From playlist Proofs
The Anatomy of Religion: Religion After Darwin
Lecture three of the 2017 Yale University Dwight H. Terry Lectures delivered by Kwame Anthony Appiah, Professor of Philosophy and Professor of Law at New York University. April 25, 2017 Kwame Anthony Appiah is a Ghanaian-American philosopher, cultural theorist, and novelist whose interes
From playlist Terry Lectures
The Golden Ratio: Is It Myth or Math?
PBS Member Stations rely on viewers like you. To support your local station, go to: http://to.pbs.org/DonateOKAY ↓ More info and sources below ↓ We’re on PATREON! Join the community ►► https://www.patreon.com/itsokaytobesmart SUBSCRIBE so you don’t miss a video! ►► http://bit.ly/iotbs_sub
From playlist Be Smart - LATEST EPISODES!
Iktinos and Kallikrates (Phidias directed the sculptural program), Parthenon, Athens, 447 - 432 B.C.E. Speakers: Dr. Beth Harris and Dr. Steven Zucker. Created by Steven Zucker and Beth Harris.
From playlist Art of the ancient Mediterranean | Art History | Khan Academy
Voices of Women at IHES - Sylvie Retailleau
Discover the testimony of Sylvie Retailleau, French, physicist, president of Université Paris-Saclay. In this video, Sylvie Retailleau shares her vision of IHES, one of the founding members of Université Paris-Saclay. She also explains why the issue of gender diversity and inclusion in sc
From playlist Voices of Women at IHES
Ancient Pyramid of Chichén Itzá Explained
What did the ancient city of Chichen Itza look like? In this virtual tour I show you the architecture of all the civic and religious structures that conformed the great pre-Columbian city in Mexico. Subtitles available in several languages. Ve el vídeo en español: https://youtu.be/wBHYzq
From playlist Mexico (English)
Making sense of irrational numbers - Ganesh Pai
View full lesson: http://ed.ted.com/lessons/making-sense-of-irrational-numbers-ganesh-pai Like many heroes of Greek myths, the philosopher Hippasus was rumored to have been mortally punished by the gods. But what was his crime? Did he murder guests or disrupt a sacred ritual? No, Hippasus
From playlist New TED-Ed Originals
The History of Non-Euclidean Geometry - Sacred Geometry - Extra History - #1
Before we get into non-Euclidean 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? Support us on Patreon! http://bit.ly/EHPatreon (--More below) Subscribe for new episodes ev
From playlist Extra History: Chronological Order (1700 CE - Present)
What is the Fundamental theorem of Algebra, really? | Abstract Algebra Math Foundations 217
Here we give restatements of the Fundamental theorems of Algebra (I) and (II) that we critiqued in our last video, so that they are now at least meaningful and correct statements, at least to the best of our knowledge. The key is to abstain from any prior assumptions about our understandin
From playlist Math Foundations