Ben discusses constructive and non-constructive proofs with examples.
From playlist Basics: Proofs
Discrete Math - 1.8.2 Proofs of Existence And Uniqueness
Using varying methods of proof to prove existence or existence of a unique value. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)
Existence and uniqueness -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Hugo Herbelin: A constructive proof of dependent choice, compatible with classical logic
The lecture was held within the framework of the Hausdorff Trimester Program: Constructive Mathematics. Abstract: Martin-Löf's type theory has strong existential elimination (dependent sum type) what allows to prove the full axiom of choice. However the theory is intuitionistic. We give
From playlist Workshop: "Constructive Mathematics"
Hope for a Type-Theoretic Understanding of Zero-Knowledge - Noam Zeilberger
Noam Zeilberger IMDEA Software Institute; Member, School of Mathematics October 4, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
Inequality Proof: Summing Reciprocals of Squares (Experimental Silent Screencast)
via YouTube Capture
From playlist The Nature of Proof
Obvious Theorems (Which Are False)
►WEBSITE https://www.brithemathguy.com ►MY COURSE Prove It Like A Mathematician! (Intro To Math Proofs) https://www.udemy.com/course/prove-it-like-a-mathematician/?referralCode=D4A14680C629BCC9D84C ►BECOME A CHANNEL MEMBER https://www.youtube.com/channel/UChVUSXFzV8QCOKNWGfE56YQ/join #
From playlist Shorts
Existence & Uniqueness Theorem, Ex1.5
Existence & Uniqueness Theorem for differential equations. Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo For more calculus & differential equation tutorials, check out @justcalculus 👉 https://www.youtube.com/justcalculus To learn how to solve different types of d
From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)
Making Proofs More Constructive, and Algorithms Less Random - Oliver Korten
Computer Science/Discrete Mathematics Seminar I Topic: Making Proofs More Constructive, and Algorithms Less Random Speaker: Oliver Korten 11:15am|Simonyi 101 and Remote Access Affiliation: Columbia University September 26, 202 A central topic in the theory of computation is derandomizati
From playlist Mathematics
Structure vs Randomness in Complexity Theory - Rahul Santhanam
Computer Science/Discrete Mathematics Seminar I Topic: Structure vs Randomness in Complexity Theory Speaker: Rahul Santhanam Affiliation: University of Oxford Date: April 20, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Sum of nonnegative powers of 2 = -1 [Bogus Proofs]
In this video we prove that the sum of the nonnegative powers of 2 is equal to -1. Can you find the error? For a typed transcript of this proof check out our blog: https://centerofmathematics.blogspot.com/2018/12/bogus-proofs.html
From playlist Bogus Proofs
Total Functions in the Polynomial Hierarchy - Robert Kleinberg
Computer Science/Discrete Mathematics Seminar I Topic: Total Functions in the Polynomial Hierarchy Speaker: Robert Kleinberg Affiliation: Cornell University Date: February 08, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Derandomization and its connections throughout complexity theory - Liije Chen
Computer Science/Discrete Mathematics Seminar II Topic: Derandomization and its connections throughout complexity theory Speaker: Liije Chen Affiliation: Massachusetts Institute of Technology Date: February 22, 2022 This is the second talk in a three-part series presented together with R
From playlist Mathematics
Non-negatively Weighted #CSPs: An Effective Complexity Dichotomy - Xi Chen
Xi Chen Columbia University March 28, 2011 We prove a complexity dichotomy theorem for all non-negatively weighted counting Constraint Satisfaction Problems (#CSP). This caps a long series of important results on counting problems including unweighted and weighted graph homomorphisms and t
From playlist Mathematics
The Abel lectures: László Lovász and Avi Wigderson
0:30 Introduction by the Abel Prize Committee Chair, Hans Munthe-Kaas 02:42 László Lovász: Continuous limits of finite structures 49:27 Questions and answers 1:00:31 Avi Wigderson: The Value of Errors in Proofs 1:41:24 Questions and answers 1:50:20 Final remarks by John Grue, Chair of the
From playlist Abel Lectures
Derandomization and its connections throughout complexity theory - Roei Tell
Computer Science/Discrete Mathematics Seminar II Topic: Derandomization and its connections throughout complexity theory Speaker: Roei Tell Affiliation: Member, School of Mathematics Date: February 15, 2022 This is the first talk in a three-part series presented together with Lijie Ch
From playlist Mathematics
Explicit rigid matrices in P^NP via rectangular PCPs - Prahladh Harsha
Computer Science/Discrete Mathematics - Special Seminar Topic: Explicit rigid matrices in P^NP via rectangular PCPs Speaker: Prahladh Harsha Affiliation: Tata Institute of Fundamental Research Date: February 06, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Avi Wigderson & László Lovász - The Abel Prize interview 2021
00:30 Interview start 01:03 On the place of discrete math and theoretical computer science 08:14 Turing and Hilbert 14:28 P vs NP problem, what is it and why is it important? 25:09 Youth in Haifa, Avi Wigderson 30:09 Youth in Budapest, László Lovász 37:45 Problem solver or theory builde
From playlist László Lovász
Number theory Full Course [A to Z]
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure #mathematics devoted primarily to the study of the integers and integer-valued functions. Number theorists study prime numbers as well as the properties of objects made out of integers (for example, ratio
From playlist Number Theory
Introduction to Proof by Contradiction: sqrt(2) is irrational
This video introduces the mathematical proof method of proof by contradiction and provides an example of a proof. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)