Model theory | Category theory

Abstract elementary class

In model theory, a discipline within mathematical logic, an abstract elementary class, or AEC for short, is a class of models with a partial order similar to the relation of an elementary substructure of an elementary class in first-order model theory. They were introduced by Saharon Shelah. (Wikipedia).

Video thumbnail

10 Relations (still with the not-so-exciting-stuff)

This video introduces relations between pairs of elements.

From playlist Abstract algebra

Video thumbnail

Group Definition (expanded) - Abstract Algebra

The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin

From playlist Abstract Algebra

Video thumbnail

What is Abstract Algebra? (Modern Algebra)

Abstract Algebra is very different than the algebra most people study in high school. This math subject focuses on abstract structures with names like groups, rings, fields and modules. These structures have applications in many areas of mathematics, and are being used more and more in t

From playlist Abstract Algebra

Video thumbnail

01 Introduction

Video series introducing abstract algebra. As promised, here's a link to one of my favorite channels: https://www.youtube.com/playlist?list=PLi01XoE8jYoi3SgnnGorR_XOW3IcK-TP6

From playlist Abstract algebra

Video thumbnail

02 Introduction to sets

We start off by looking at the basics of sets.

From playlist Abstract algebra

Video thumbnail

Definition of a group Lesson 24

In this video we take our first look at the definition of a group. It is basically a set of elements and the operation defined on them. If this set of elements and the operation defined on them obey the properties of closure and associativity, and if one of the elements is the identity el

From playlist Abstract algebra

Video thumbnail

#2 Idenitfying Irrational numbers

An example that helps in identifying irrational numbers and understanding the basic concepts of irrational numbers.

From playlist Middle School This Year

Video thumbnail

How You Can Learn Graduate Level Abstract Algebra

This is one of the best graduate level abstract algebra books and is probably the most widely used in schools today. This book is well written and is extremely comprehensive, and is a must have for anyone who is serious about learning more abstract algebra. This is the book on amazon: htt

From playlist Cool Math Stuff

Video thumbnail

Viviane Durand-Guerrier : Démarche expérimentale et apprentissages mathématiques [...]

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Forum mathématiques vivantes

Video thumbnail

Perfect Numbers and Elementary Methods in Modern Research (Josh Zelinsky) | Ep. 15

Josh Zelinsky is a number theorist and teacher at the Hopkins school in New Haven, CT. We discuss his experience as a former academic teaching high school mathematics and his research to address whether there are any odd perfect numbers, one of the oldest unsolved problems in mathematics.

From playlist Daniel Rubin Show, Full episodes

Video thumbnail

On the long-term dynamics of nonlinear dispersive evolution equations - Wilhelm Schlag

Analysis Seminar Topic: On the long-term dynamics of nonlinear dispersive evolution equations Speaker: Wilhelm Schlag Affiliation: University of Chicago Visiting Professor, School of Mathematics Date: Febuary 14, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Jochen Koenigsmann : Galois codes for arithmetic and geometry via the power of valuation theory

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebra

Video thumbnail

The Ideas of Quine - Bryan Magee & Quine (1978)

In this program, Willard Van Orman Quine discusses the nature of philosophy and some of his own work in philosophy with host Bryan Magee. This is from a 1978 series on Modern Philosophy called Men of Ideas. #Philosophy #BryanMagee #Quine

From playlist Bryan Magee Interviews - Modern Philosophy: Men of Ideas (1977-1978)

Video thumbnail

Mathematics for Elementary Teachers by Forbes and Eicholz #shorts

Mathematics for Elementary Teachers by Forbes and Eicholz #shorts Book Review #shorts: https://www.youtube.com/playlist?list=PLO1y6V1SXjjPqMhU21NyGnwVnlF0UIheP Full Book Reviews: https://www.youtube.com/playlist?list=PLO1y6V1SXjjM-1azbCNYq2-A1_7KaioNr If you enjoyed this video please co

From playlist Book Reviews #shorts

Video thumbnail

Diffeomorphism Groups of Critical Regularity (Lecture 4) by Sang-hyun Kim

PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, India), Anish Ghosh (TIFR, Mumbai, India), Subhajit Goswami (TIFR, Mumbai, India) and Mahan M J (TIFR, Mumbai, India) DATE & TIME: 27 February 2023 to 10 March 2023 VENUE: Madhava Lecture Hall

From playlist PROBABILISTIC METHODS IN NEGATIVE CURVATURE - 2023

Video thumbnail

Math Books That Never Made It

These are math books that were never reprinted. We take a look at these books in this video. The books cover precalculus, calculus, and abstract algebra. Elementary Functions: An Approach to Precalculus Mathematics: https://amzn.to/3K9yc9N Essentials of Abstract Algebra: https://amzn.to/4

From playlist Book Reviews

Video thumbnail

Basic Concepts of Elementary Mathematics

In this video I will show you a math book that covers a wide variety of topics. This book is very different from your typical algebra or pre-calc book in that it covers different areas of math. It is primarily written for students who want to become teachers or liberal arts majors. I think

From playlist Book Reviews

Video thumbnail

Equivalence Relations Definition and Examples

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equivalence Relations Definition and Examples. This video starts by defining a relation, reflexive relation, symmetric relation, transitive relation, and then an equivalence relation. Several examples are given.

From playlist Abstract Algebra

Video thumbnail

My Math Book Collection (Top Row of a Bookshelf)

In this video I go over the top row of one of my bookshelves. I was honestly surprised to see how many math books were here. Many of these books I had actually forgotten I had. I will be reviewing more books in the future:) Instead of listing the individual links to each the books here, j

From playlist Book Reviews

Related pages

Type (model theory) | Fragment (logic) | Set theory | Elementary class | Schanuel's conjecture | Infinitary logic | Tame abstract elementary class | Isomorphism | Löwenheim–Skolem theorem | Total order | Model theory | Compactness theorem | Ordinal number | Successor cardinal | Stable theory | Cardinal number | Strongly compact cardinal | Complete theory | Mathematical logic | First-order logic