Introduction to the Cardinality of Sets and a Countability Proof
Introduction to Cardinality, Finite Sets, Infinite Sets, Countable Sets, and a Countability Proof - Definition of Cardinality. Two sets A, B have the same cardinality if there is a bijection between them. - Definition of finite and infinite sets. - Definition of a cardinal number. - Discu
From playlist Set Theory
Determine the Cardinality of Sets From a List of Set
This video explains how to determine the cardinality of sets given as lists. It includes union, intersection, and complement of sets. http://mathispower4u.com
From playlist Sets
Determine the Cardinality of Sets: Set Notation, Intersection
This video explains how to determine the cardinality of a set given using set notation.
From playlist Sets (Discrete Math)
Finding Cardinalities of Sets | Set Theory
Let's find the cardinality of some simple sets in set builder notation! Recall the cardinality of a set is simply the number of elements it contains. We'll write some sets that have been given in set builder notation and identify their cardinalities. We also briefly discuss the cardinality
From playlist Set Theory
What is the Cardinality of a Set? | Set Theory, Empty Set
What is the cardinality of a set? In this video we go over just that, defining cardinality with examples both easy and hard. To find the cardinality of a set, you need only to count the elements in the set. The cardinality of the empty set is 0, the cardinality of the set A = {0, 1, 2} is
From playlist Set Theory
BM9.1. Cardinality 1: Finite Sets
Basic Methods: We define cardinality as an equivalence relation on sets using one-one correspondences. In this talk, we consider finite sets and counting rules.
From playlist Math Major Basics
BM9.2. Cardinality 2: Infinite Sets
Basic Methods: We continue the study of cardinality with infinite sets. First the class of countably infinite sets is considered, and basic results given. Then we give examples of uncountable sets using Cantor diagonalization arguments.
From playlist Math Major Basics
Determine Cardinality of Sets Using a Venn Diagram
This video explains how to complete a Venn diagram to determine the cardinality of sets. http://mathispower4u.com
From playlist Sets
Find a Set with Greatest Cardinality that is a Subset of Two Given Sets (Lists)
This video explains how to determine a set with greatest cardinality that is a subset of two given sets.
From playlist Sets (Discrete Math)
Does Infinite Cardinal Arithmetic Resemble Number Theory? - Menachem Kojman
Menachem Kojman Ben-Gurion University of the Negev; Member, School of Mathematics February 28, 2011 I will survey the development of modern infinite cardinal arithmetic, focusing mainly on S. Shelah's algebraic pcf theory, which was developed in the 1990s to provide upper bounds in infinit
From playlist Mathematics
Gabriel Goldberg: The Jackson analysis and the strongest hypotheses
HYBRID EVENT Recorded during the meeting "XVI International Luminy Workshop in Set Theory" the September 13, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematician
From playlist Logic and Foundations
Matthew Foreman: Welch games to Laver ideals
Recorded during the meeting "XVI International Luminy Workshop in Set Theory" the September 16, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Au
From playlist Logic and Foundations
Dima Sinapova : Prikry type forcing and combinatorial properties
Abstract: We will analyze consequences of various types of Prikry forcing on combinatorial properties at singular cardinals and their successors, focusing on weak square and simultaneous stationary reflection. The motivation is how much compactness type properties can be obtained at succes
From playlist Logic and Foundations
Counting Woodin cardinals in HOD
Distinguished Visitor Lecture Series Counting Woodin cardinals in HOD W. Hugh Woodin Harvard University, USA and University of California, Berkeley, USA
From playlist Distinguished Visitors Lecture Series
The Green - Tao Theorem (Lecture 6) by D. S. Ramana
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
PHO107 - Basic Segments of Speech (Vowels I)
The focus of this most popular VLC-E-Lecture is the system of Cardinal Vowels. Jürgen Handke not only discusses the phonetic description of vowel articulation, he also shows how the Cardinal Vowel Chart can be developed and constructed - and last but not least: he produces the Primary and
From playlist VLC102 - Speech Science
Lecture 15 | Convex Optimization II (Stanford)
Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd continues lecturing on L1 Methods for Convex-Cardinality Problems. This course introduces topics such as subgradient, cutting-plane, and ellipsoid met
From playlist Lecture Collection | Convex Optimization
Math 131 Fall 2018 092118 Cardinality
Recall definitions: injective, surjective, bijective, cardinality. Definitions: finite, countable, at most countable, uncountable, sequence. Remark: a 1-1 correspondence with the natural numbers is the same thing as a bijective sequence. Theorem: Every infinite subset of a countable set
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)
A road to the infinities: Some topics in set theory by Sujata Ghosh
PROGRAM : SUMMER SCHOOL FOR WOMEN IN MATHEMATICS AND STATISTICS ORGANIZERS : Siva Athreya and Anita Naolekar DATE : 13 May 2019 to 24 May 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore The summer school is intended for women students studying in first year B.A/B.Sc./B.E./B.Tech.
From playlist Summer School for Women in Mathematics and Statistics 2019