Basic concepts in infinite set theory | Cardinal numbers
Infinite set
In set theory, an infinite set is a set that is not a finite set. Infinite sets may be countable or uncountable. (Wikipedia).
Basic concepts in infinite set theory | Cardinal numbers
In set theory, an infinite set is a set that is not a finite set. Infinite sets may be countable or uncountable. (Wikipedia).
Fundamentals of Mathematics - Lecture 33: Dedekind's Definition of Infinite Sets are FInite Sets
https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html
From playlist Fundamentals of Mathematics
This video defines finite and infinite sets. http://mathispower4u.com
From playlist Sets
Introduction to Sets and Set Notation
This video defines a set, special sets, and set notation.
From playlist Sets (Discrete Math)
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
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
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
In this video, Tori explains the meaning of a set. She looks into finite versus infinite sets, and explains elements.
From playlist Basics: College Algebra
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
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
[#SoME1] A simple statement with a remarkable proof ( + Proof of Bolzano-Weierstrass Theorem)
In this video, I present a very important statement that, at first, seems quite obvious, but whose proof requires some neat reasoning. I start off by explaining everything required in order to understand the problem, and then restate it in a more rigorous way. Then, I present two proofs f
From playlist Summer of Math Exposition Youtube Videos
A finite discussion on the Infinite by Tanvi Jain
KAAPI WITH KURIOSITY A FINITE DISCUSSION ON THE INFINITE SPEAKER: Tanvi Jain (Indian Statistical Institute, New Delhi) WHEN: 4pm to 6pm Sunday, 09 September 2018 WHERE: J. N. Planetarium, Sri T. Chowdaiah Road, High Grounds, Bangalore “From time immemorial, the infinite has stirred me
From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)
Professor Adrian Moore journeys through philosophical thought on infinity over the last two and a half thousand years. This comes from a BBC radio series. For a good introduction to the philosophy of mathematics, check out: https://www.youtube.com/watch?v=UhX1ouUjDHE 00:00 Horror of the I
From playlist Logic & Philosophy of Mathematics
What is infinity? Can there be different sizes of infinity? Surprisingly, the answer is yes. In fact, there are many different ways to make bigger infinite sets. In this video, a few different sets of infinities will be explored, including their surprising differences and even more surpris
From playlist Summer of Math Exposition 2 videos
How Big are All Infinities Combined? (Cantor's Paradox) | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Infinities come in different sizes. There’s a whole tower of progressively larger "sizes of infinity". So what’s the right way to describe the size of the whole tower?
From playlist An Infinite Playlist
Set Theory (Part 19): Infinite Binary Sequences and Cantor's Diagonal Argument
Please feel free to leave comments/questions on the video and practice problems below! In this video, we will demonstrate two major results in set theory; first, the set of all infinite binary sequences is uncountably infinite and, secondly, the set of real numbers is uncountably infinite
From playlist Set Theory by Mathoma
MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015
What is the complement of a set? Sets in mathematics are very cool, and one of my favorite thins in set theory is the complement and the universal set. In this video we will define complement in set theory, and in order to do so you will also need to know the meaning of universal set. I go
From playlist Set Theory
Cantor's Diagonal Argument (3B1B Summer of Math Exposition Submission)
This is my 3B1B Summer of Math Exposition Submission, in which I try to demonstrate the widespread usage of Cantor's Diagonal Argument. Music Credits: Punch Deck (https://www.youtube.com/watch?v=H4BAEf5V-Yc&list=RDQMiuXZf9s3wl8&index=8)
From playlist Summer of Math Exposition Youtube Videos