Set Theory 1.1 : Axioms of Set Theory
In this video, I introduce the axioms of set theory and Russel's Paradox. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : http://docdro.id/5ITQHUW
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
Review of set theory -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
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
Why is the Empty Set a Subset of Every Set? | Set Theory, Subsets, Subset Definition
The empty set is a very cool and important part of set theory in mathematics. The empty set contains no elements and is denoted { } or with the empty set symbol ∅. As a result of the empty set having no elements is that it is a subset of every set. But why is that? We go over that in this
From playlist Set Theory
Orders and Ordered Sets | Axiomatic Set Theory, Section 2.3
We discuss order relations on sets, and isomorphisms of ordered sets. My Twitter: https://twitter.com/KristapsBalodi3
From playlist Axiomatic Set Theory
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
Relations and Functions | Axiomatic Set Theory, Section 2.1
In this video we define and prove a few basic theorems about relations and functions. My Twitter: https://twitter.com/KristapsBalodi3 Intro:(0:00) Ordered Pairs:(1:43) IMAGE-in that!:(3:33) Composition: (7:57) Functions:(11:05) Special thanks to Alex Stephens
From playlist Axiomatic Set Theory
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
Set Theory (Part 2a): Russell's Paradox
Please feel free to leave comments/questions on the video below! In this video, I briefly speak about the Russell paradox and why ZFC avoids this paradox when discussing pathological sets. One should hopefully see why it is that this paradox is disastrous for the naive set theory adopted
From playlist Set Theory by Mathoma
The Information Paradox and Holography by Suvrat Raju
ICTS at Ten ORGANIZERS: Rajesh Gopakumar and Spenta R. Wadia DATE: 04 January 2018 to 06 January 2018 VENUE: International Centre for Theoretical Sciences, Bengaluru This is the tenth year of ICTS-TIFR since it came into existence on 2nd August 2007. ICTS has now grown to have more tha
From playlist ICTS at Ten
Online-Vortrag "Paradoxe Phänomene in der Mathematik" (Livestream)
Livestream-Aufzeichnung der ersten virtuellen Ausgabe der öffentlichen Reihe "Brücken in der Mathematik". Prof. Dr. Martin Hils und Prof. Dr. Matthias Löwe erläutern paradoxe Phänomene in der Mathematik. Dies ist die Original-Aufzeichnung des Livestreams. Hier finden Sie den "Director's C
From playlist Brücken in der Mathematik
Online-Vortrag "Paradoxe Phänomene in der Mathematik" (Director's Cut)
Aufzeichnung (Director's Cut) der ersten virtuellen Ausgabe der öffentlichen Reihe "Brücken in der Mathematik". Prof. Dr. Martin Hils und Prof. Dr. Matthias Löwe erläutern paradoxe Phänomene in der Mathematik. Darum geht es: Die Welt – insbesondere die der Mathematik – ist voller Rätsel.
From playlist Brücken in der Mathematik
Russell's Paradox - A Ripple in the Foundations of Mathematics
Bertrand Russell's set theory paradox on the foundations of mathematics, axiomatic set theory and the laws of logic. A celebration of Gottlob Frege. Thank you to Professor Joel David Hamkins for your help with this video. Hi! I'm Jade. Subscribe to Up and Atom for physics, math and com
From playlist Math
Session 1 - A State Dependent Description of the Black Hole Interior: Suvrat Raju
https://strings2015.icts.res.in/talkTitles.php
From playlist Strings 2015 conference
Lucien Hardy on quantum gravity and (apparent) paradoxes
Lucien Hardy is a theoretical physicist working at the intersection of the two pillars of modern physics – general relativity and quantum mechanics – in the quest for a single unifying theory: quantum gravity. Hardy joins co-hosts Lauren and Colin for a conversation about the puzzles that
From playlist Conversations at the Perimeter
Gödel's Incompleteness Theorems: An Informal Introduction to Formal Logic #SoME2
My entry into SoME2. Also, my first ever video. I hope you enjoy. The Book List: Logic by Paul Tomassi A very good first textbook. Quite slow at first and its treatment of first-order logic leaves a little to be desired in my opinion, but very good on context, i.e. why formal logic is im
From playlist Summer of Math Exposition 2 videos
WTF Are Paradoxes & How Do They Mess Up Time Travel?
Episode 3 of 4 Check us out on Soundcloud! https://soundcloud.com/dnewsplus Please Subscribe! http://bit.ly/28iQhYC Discovery GO - http://smart.link/57ae195b47796 Science GO - http://smart.link/57ae1a34dd168 Every cause has an effect. What were to happen if we could successf
From playlist Have We Already Time Traveled?
Barber & Russell Paradoxes (History of Undecidability Part 2) - Computerphile
$20 off your 1st purchase at www.LittleBits.com use the code “COMPUTERPHILE” The Barber Paradox: Professor Brailsford continues the history of undecidability. History of Undecidability Part1: http://youtu.be/nsZsd5qtbo4 Turing & The Halting Problem: http://youtu.be/macM_MtS_w4 http://
From playlist The History of Undecidability