Proof assistants | Large-scale mathematical formalization projects | Free theorem provers | Free mathematics software
Metamath is a formal language and an associated computer program (a proof checker) for archiving, verifying, and studying mathematical proofs. Several databases of proved theorems have been developed using Metamath covering standard results in logic, set theory, number theory, algebra, topology and analysis, among others. As of February 2022, the set of proved theorems using Metamath is one of the largest bodies of formalized mathematics, containing in particular proofs of 74 of the 100 theorems of the "Formalizing 100 Theorems" challenge, making it fourth after HOL Light, Isabelle, and Coq, but before Mizar, , Lean, Nqthm, ACL2, and Nuprl. There are at least 19 proof verifiers for databases that use the Metamath format. This project is the first one of its kind that allows for interactive browsing of its formalized theorems database in the form of an ordinary website. (Wikipedia).
Metacognition and speaking | Introduction | Part 1
In this video, I provide an overview of metacognition and discuss its role in speaking.
From playlist Metacognition
Will Troiani - A Metric Based on Insects
From playlist Metauni
What is Gender? | Philosophy Tube
Male, female, cis, trans – what is gender? What makes up your gender identity? Existentialism, Society, Genetics? Subscribe! http://tinyurl.com/pr99a46 Patreon: http://www.patreon.com/PhilosophyTube Audible: http://tinyurl.com/jn6tpup FAQ: http://tinyurl.com/j8bo4gb Facebook: http://ti
From playlist METAPHYSICS
Storyboard - a bit of fun with deep learning for vision and storytelling
A bit of fun for Christmas! Draw something, add some text and click "Tell a Story" to get a poem, or a short story, incorporating the elements. Available at metauni for anyone with scribe permissions (make a Storyboard pocket). Music by Lucas Cantor.
From playlist Metauni
A conversation between Mario Carneiro, Norman Megill and Stephen Wolfram
Stephen Wolfram plays the role of Salonnière in this new, on-going series of intellectual explorations with special guests. Watch all of the conversations here: https://wolfr.am/youtube-sw-conversations Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this
From playlist Conversations with Special Guests
High Stakes Maths: Aliens, metamath, Wolfram Problem Generator, 5 + 4 = ?????
This is a video about a scifi scenario in which it would make sense to rigorously prove 5+4 all the way from the ZFC axioms using metamath. It's massively over rigorous overkill for a simple and basic problem, which is kind of the motto of pure mathematics haha. I hope this series is an
From playlist Summer of Math Exposition 2 videos
Wolfram Physics Project: Working Session Tuesday, Jan. 25, 2022 [Metamathematics]
This is a Wolfram Physics Project working session on metamathematics in the Wolfram Model. Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/
From playlist Wolfram Physics Project Livestream Archive
A typical metauni experience involves a series of boards, often with dense technical content. Having a convenient way of getting a fullscreen view of these boards is crucial. This video is a brief introduction to the feature. Music by Lucas Cantor.
From playlist Metauni
Wolfram Physics Project: Working Session Tuesday, Dec. 28, 2021 [Metamathematics]
This is a Wolfram Physics Project working session on metamathematics in the Wolfram Model. Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/
From playlist Wolfram Physics Project Livestream Archive
Genius Proof by Schoolboy ! Hilbert's 7th problem history.
Join Insightful to enjoy Ad- free edutainment ! iOS: https://apps.apple.com/de/app/insightful-short-smart-videos/id1580098873?l=en Android: https://play.google.com/store/apps/details?id=com.insightfulme.insightful Use METAMATHS code for registration Let’s look into amazing history behin
From playlist Math history and stories
Gödel's First Incompleteness Theorem, Proof Sketch
Kurt Gödel rocked the mathematical world with his incompleteness theorems. With the halting problems, these proofs are made easy! Created by: Cory Chang Produced by: Vivian Liu Script Editor: Justin Chen Special thanks to Ryan O’Donnell, associate professor at Carnegie Mellon University
From playlist Infinity, and Beyond!
A short demo of getting a keycode for a board at metauni and using it to view the board in a web browser, and of using a URL for a board to jump into metauni at the exact location of a board. Music by Lucas Cantor.
From playlist Metauni
What is Metaphysics? - Gentleman Thinker
What even is metaphysics? What do metaphysicians do? Gentleman Thinker playlist: https://www.youtube.com/watch?v=94YV6Lu009k&list=PLvoAL-KSZ32cKobolNFwuqcPJ26cmF_11&index=1 Subscribe! http://www.youtube.com/subscription_center?add_user=thephilosophytube Patreon: http://www.patreon.com/Ph
From playlist METAPHYSICS
Proving weird Fermat's Last Theorem in just 2 minutes !
Changing the exponents in Fermat's Last theorem creates a whole new interesting problem. Do you need to be Andrew Wiles to solve it ? Patreon: https://www.patreon.com/MetaMaths Source code for animations: https://github.com/univalency/Manim-animations-code-for-MetaMaths/blob/main/weird_f
From playlist Interesting math problems
The Unknown Secrets of Times Table.
You don’t need to learn hard staff in mathematics to appreciate its beauty ! We understand the tricks hiding inside times table- something all of us seem to understand ! Patreon: https://www.patreon.com/MetaMaths Source code for Manim animations: https://github.com/univalency/Manim-anima
From playlist Something you did not know...
A circle is very different from a pair of circles.
This time we consider a fun problem - how many disjoint pairs of externally tangent circles can you have in a plane ? Consider becoming my Patreon https://www.patreon.com/join/MetaMaths Join our Discord to engage with other Mathematics enthusiasts ! https://discord.gg/yyDzhKXUBV Sourc
From playlist Interesting math problems
Algebra can' t solve This Equation. But what can ?
Are you a visual thinker ? Today we explore a super fun problem which looks hopeless if you only apply algebra to it ! More on Fermat point: https://en.wikipedia.org/wiki/Fermat_point Explore 50 000 of triangle centres: https://faculty.evansville.edu/ck6/encyclopedia/etc.html Patreon: ht
From playlist Interesting math problems
How to Count All the Objects in the Universe - Philosophy Tube
Metaphysics! How would we count all the objects in the universe? Metaphysics Playlist: https://www.youtube.com/playlist?list=PLvoAL-KSZ32cX32PRBl1D4b4wr8DwhRQ4 Subscribe! http://www.youtube.com/subscription_center?add_user=thephilosophytube Patreon: http://www.patreon.com/PhilosophyTube
From playlist METAPHYSICS