Mathematical logic | Boolean algebra | Algebraic logic | Fuzzy logic
In mathematics, a residuated Boolean algebra is a residuated lattice whose lattice structure is that of a Boolean algebra. Examples include Boolean algebras with the monoid taken to be conjunction, the set of all formal languages over a given alphabet Σ under concatenation, the set of all binary relations on a given set X under relational composition, and more generally the power set of any equivalence relation, again under relational composition. The original application was to relation algebras as a finitely axiomatized generalization of the binary relation example, but there exist interesting examples of residuated Boolean algebras that are not relation algebras, such as the language example. (Wikipedia).
From playlist Week 1 2015 Shorts
Boolean Algebra: Sample Problems
In this video, I work through some sample problems relating to Boolean algebra. Specific, I work through examples of translating equivalences from logical or set notation to Boolean notation, and also a derivation using Boolean equivalences.
From playlist Discrete Mathematics
Boolean Algebra 2 – Simplifying Complex Expressions
This video follows on from the one about the laws of Boolean algebra. It explains some useful interpretations of the laws of Boolean algebra, in particular, variations of the annulment and distributive laws. It goes on to demonstrate how Boolean algebra can be applied to simplify comple
From playlist Boolean Algebra
Boolean Algebra 1 – The Laws of Boolean Algebra
This computer science video is about the laws of Boolean algebra. It briefly considers why these laws are needed, that is to simplify complex Boolean expressions, and then demonstrates how the laws can be derived by examining simple logic circuits and their truth tables. It also shows ho
From playlist Boolean Algebra
A Quick Overview of BOOLEAN ALGEBRA (symbols, truth tables, and laws)
Error in Video (9:32, 11:30): When talking about the last laws in the columns for equivalences, I say "DeMorgan's Law" when I mean to say "Distributive Law". In this video on #Logic, we learn the basics of #BooleanAlgebra and compare the notation for propositional logic with it. We cover
From playlist Logic in Philosophy and Mathematics
Every Boolean Ring is Commutative Proof
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Every Boolean Ring is Commutative Proof
From playlist Abstract Algebra
The Algebra of Boole is not Boolean algebra! (III) | Math Foundations 257 | N J Wildberger
We continue discussing George Boole's original algebra which can be framed as arithmetic over the bifield B_2={0,1} and vector spaces/algebra over it. We have seen how to reformulate Aristotle's syllogistic construction in terms of Boole's algebra, and use simple algebra to prove his syllo
From playlist Boole's Logic and Circuit Analysis
Modeling limits - P. Ossona de Mendez - Workshop 1 - CEB T1 2018
Patrice Ossona de Mendez (EHSS) / 30.01.2018 A sequence of graphs is FO-convergent if the probability of satisfaction of every first-order formula converges. A graph modeling is a graph, whose domain is a standard probability space, with the property that every definable set is Borel. It
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Simon Santschi: Time warps, from algebra to algorithms
HYBRID EVENT Recorded during the meeting "19th International Conference on Relational and Algebraic Methods in Computer Science" the November 3, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other t
From playlist Logic and Foundations
Wolfram Physics Project: Working Session Tuesday, Feb. 2, 2021 [Proofs and Metamathematics]
This is a Wolfram Physics Project working session about proofs and metamathematics. Begins at 3:22 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.
From playlist Wolfram Physics Project Livestream Archive
Analysis of Boolean Functions on Association Schemes - Yuval Filmus
Yuval Filmus Member, School of Mathematics September 23, 2014 More videos on http://video.ias.edu
From playlist Mathematics
Daniel Murfet - The third dawn of reason
This informal talk outlines an argument that our time will become one of the most important in the history of logic, because of the growing importance of geometric algebra in deep learning (essentially realising the vision of Boole in 1854). This talk was part of the first Festival of Mat
From playlist Metauni
Victorita Dolean: An introduction to domain decomposition methods - lecture1
HYBRID EVENT Recorded during the meeting "Domain Decomposition for Optimal Control Problems" the September 05, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematici
From playlist Jean-Morlet Chair - Gander/Hubert
(Practice Takes) Deligne-Illusie as Kodaira-Spencer - Part 1 - April 2021
This is for the Berkeley Arithmetic Geometry Seminar and is based on Joint Work with DZB.
From playlist Seminar Talks
Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Max Flow Ford Fulkerson | Source Code
An implementation of the Ford-Fulkerson method in using a DFS implemented in Java Next video: https://youtu.be/GhjwOiJ4SqU Previous Video: https://youtu.be/LdOnanfc5TM Algorithms repository: https://github.com/williamfiset/algorithms#network-flow Video slides: https://github.com/william
From playlist Network Flow playlist
Cell Learning Theory - Seminar 2 - On AlphaFold
This seminar series is about computation and learning in cell. In this seminar David Li talks about AlphaFold, a neural network engineered by DeepMind to predict folding of proteins. The webpage for this seminar is https://metauni.org/posts/events/seminar-clt. You can join this seminar
From playlist Metauni
Séminaire Bourbaki - 21/06/2014 - 3/4 - Thomas C. HALES
Developments in formal proofs A for mal proof is a proof that can be read and verified by computer, directly from the fundamental rules of logic and the foundational axioms of mathematics. The technology behind for mal proofs has been under development for decades and grew out of efforts i
From playlist Bourbaki - 21 juin 2014
The Boole Mobius transform | MathFoundations 270 | N J Wildberger
In this video we present the beginnings of an exciting new insight into the relationship between Boolean functions and Boole polynumbers. It turns out that linear algebra can be applied, and that a remarkable transform given by a linear operator, which we call the Boole-Mobius transform, m
From playlist Boole's Logic and Circuit Analysis
Live CEOing Ep 486: Design Review of Calculus & Algebra
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram
From playlist Behind the Scenes in Real-Life Software Design