Union (set theory)

What is a Union? (Set Theory)

What is A union B? How do you find the union of sets? What is an operation of sets? In this video we answer these questions, we will talk about the simple set operation: the union, what it is, and how to union two sets. I hope you find this video helpful, and be sure to ask any questions d

From playlist Set Theory

What is an Intersection? (Set Theory)

What is the intersection of sets? This is another video on set theory in which we discuss the intersection of a set and another set, using the classic example of A intersect B. We do not quite go over a formal definition of intersection of a set in this video, but we come very close! Be su

From playlist Set Theory

Union vs Intersection (Set Theory)

What is A union B? What is the union of sets? What is the intersection of sets? I've talked about these topic before, but in this video we will look at unions and intersections of sets side by side. So get ready to learn about these very cool set operations! I hope you find this video he

From playlist Set Theory

Introduction to Set Theory (Discrete Mathematics)

Introduction to Set Theory (Discrete Mathematics) This is a basic introduction to set theory starting from the very beginning. This is typically found near the beginning of a discrete mathematics course in college or at the beginning of other advanced mathematics courses. ***************

From playlist Set Theory

Introduction to sets || Set theory Overview - Part 2

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty

From playlist Set Theory

Introduction to sets || Set theory Overview - Part 1

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty

From playlist Set Theory

Set Theory (Part 2): ZFC Axioms

Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce some common axioms in set theory using the Zermelo-Fraenkel w/ choice (ZFC) system. Five out of nine ZFC axioms are covered and the remaining four will be introduced in their

From playlist Set Theory by Mathoma

The perfect number of axioms | Axiomatic Set Theory, Section 1.1

In this video we introduce 6 of the axioms of ZFC set theory. My Twitter: https://twitter.com/KristapsBalodi3 Intro: (0:00) The Axiom of Existence: (2:39) The Axiom of Extensionality: (4:20) The Axiom Schema of Comprehension: (6:15) The Axiom of Pair (12:16) The Axiom of Union (15:15) T

From playlist Axiomatic Set Theory

Set Theory (Part 3): Ordered Pairs and Cartesian Products

Please feel free to leave comments/questions on the video and practice problems below! In this video, I cover the Kuratowski definition of ordered pairs in terms of sets. This will allow us to speak of relations and functions in terms of sets as the basic mathematical objects and will ser

From playlist Set Theory by Mathoma

Zermelo Fraenkel Pairing and union

This is part of a series of lectures on the Zermelo-Fraenkel axioms for set theory. We discuss the axioms of pairing and union, the two easiest axioms of ZFC, and consider whether they are really needed. For the other lectures in the course see https://www.youtube.com/playlist?list=PL

From playlist Zermelo Fraenkel axioms

Proof: A is a Subset of B iff A Union B Equals B | Set Theory, Subsets

A is a subset of B if and only if A union B equals B. We'll be sharpening our set theory proof skills with this simple result in today's video set theory lesson! Think of the result like this, if A is contained in B, then adding the elements of A to B doesn't change B at all, because B al

From playlist Set Theory

A Union B Equals A Intersect B iff A=B | Set Theory

Let A and B be two sets. Then, A=B if and only if A union B equals A intersect B. We will show this basic biconditional set equality result in today's set theory video lesson. We use what's called "double inclusion", which is just how we prove two sets are equal. To show A=B we prove A is

From playlist Set Theory

Nexus Trimester - Raymond Yeung (The Chinese University of Hong Kong) 1/3

Shannon's Information Measures and Markov Structures Raymond Yeung (The Chinese University of Hong Kong) February 18,2016 Abstract: Most studies of finite Markov random fields assume that the underlying probability mass function (pmf) of the random variables is strictly positive. With thi

From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme

Zermelo Fraenkel Introduction

This lecture is part of an online course on the Zermelo Fraenkel axioms of set theory. This lecture gives an overview of the axioms, describes the von Neumann hierarchy, and sketches several approaches to interpreting the axioms (Platonism, von Neumann hierarchy, multiverse, formalism, pra

From playlist Zermelo Fraenkel axioms

Set Theory Subset Proof with Unions and Cartesian Products

Set Theory Subset Proof with Unions and Cartesian Products If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are several ways that you can h

From playlist Set Theory

(PP 1.2) Measure theory: Sigma-algebras

Definition of a sigma-algebra. A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5DB5E4 You can skip the measure theory (Section 1) if you're not interested in the rigorous underpinnings. If you choose to do this, you

From playlist Probability Theory

Set Theory (Part 4): Relations

Please feel free to leave comments/questions on the video and practice problems below! In this video, the notion of relation is discussed, using the interpretation of a Cartesian product as forming a grid between sets and a relation as any subset of points on this grid. This will be an im

From playlist Set Theory by Mathoma

Proof: DeMorgan's Laws for Set Complement | Set Theory

DeMorgan's laws for sets tell us how set complement works over set union, and how set complement works over intersection. We'll be proving the two parts of De Morgan's laws in today's set theory video lesson! This is a simple proof using our definitions of set union, set intersection, set

From playlist Set Theory