In the mathematical field of descriptive set theory, a set of real numbers (or more generally a subset of the Baire space or Cantor space) is called universally Baire if it has a certain strong regularity property. Universally Baire sets play an important role in Ω-logic, a very strong logical system invented by W. Hugh Woodin and the centerpiece of his argument against the continuum hypothesis of Georg Cantor. (Wikipedia).
Set Theory (Part 2b): The Bogus Universal Set
Please feel free to leave comments/questions on the video below! In this video, I argue against the existence of the set of all sets and show that this claim is provable in ZFC. This theorem is very much tied to the Russell Paradox, besides being one of the problematic ideas in mathematic
From playlist Set Theory by Mathoma
What is a Universal Set? | Don't Memorise
✅To learn more about Sets, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=8innwDI1bv8&utm_term=%7Bkeyword%7D In this video, we will learn: 0:00 what is a universal set? 0:31 what is suitable? 0:35 exa
From playlist Middle School Math - Sets
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
Maths for Programmers: Sets (The Universe & Complements)
We're busy people who learn to code, then practice by building projects for nonprofits. Learn Full-stack JavaScript, build a portfolio, and get great references with our open source community. Join our community at https://freecodecamp.com Follow us on twitter: https://twitter.com/freecod
From playlist Maths for Programmers
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
SET is an awesome game that really gets your brain working. Play it! Read more about SET here: http://theothermath.com/index.php/2020/03/27/set/
From playlist Games and puzzles
Takako Nemoto: Baire category theorem and nowhere differentiable continuous function...
Full title: Baire category theorem and nowhere differentiable continuous function in constructive mathematics The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: In Bishop's constructive mathematics, it is known that Bair
From playlist Workshop: "Constructive Mathematics"
The Ruse at Gallipoli and the Siege of Kovno I THE GREAT WAR - Week 55
Another 20.000 soldiers fresh from the barracks are supposed to turn the tide at Gallipoli. But Mustafa Kemal is an Ottoman commander to be reckoned with. With a tactical ruse and the right timing, he surprises the inexperienced ANZAC recruits with a bayonet charge. As the sand of Chunuk B
From playlist World War 1 - 1915 (Season 2)
Every Set is an Element of its Power Set | Set Theory
Every set is an element of its own power set. This is because the power set of a set S, P(S), contains all subsets of S. By definition, every set is a subset of itself, and thus by definition of the power set of S, it must contain S. This is even true for the always-fun empty set! We discu
From playlist Set Theory
Double Complement of a Set | Set Theory
What is the complement of the complement of a set? In today's set theory lesson we'll discuss double complements with respect to "absolute complements - being complements taken with respect to a universal set as opposed to relative complements. When we consider a universal set, every oth
From playlist Set Theory
Warsaw Falls - The Fokker Scourge Begins I THE GREAT WAR Week 54
After the Russian defeats on the Eastern Front, Warsaw falls. The first time in over 100 years a new foreign power occupies the city. The German onslaught in the East seems to be unstoppable. Also on the Western Front the Germans are causing havoc with the new Fokker-Eindecker planes which
From playlist World War 1 - 1915 (Season 2)
Natasha Dobrinen: Borel sets of Rado graphs are Ramsey
The Galvin-Prikry theorem states that Borel partitions of the Baire space are Ramsey. Thus, given any Borel subset $\chi$ of the Baire space and an infinite set $N$, there is an infinite subset $M$ of $N$ such that $\left [M \right ]^{\omega }$ is either contained in $\chi$ or disjoint fr
From playlist Combinatorics
Contemplation By Design 2019 PEACE Concert in Bing, Stanford University
Through music, dance and song, experience PEACE: Pause, Exhale, Attend mindfully, Connect with nature/yourself/others and Express. The concert includes performances by: cellists Provost Persis Drell, Dean Lloyd Minor, and students Jeffrey Kwong, Henry Bair, Danna Xue, Tracy Lang, Evan Kim
From playlist Contemplation By Design
Math research I have been working on: (Partial Derivative Of Okamoto’s Functions)
One of the math research projects I have been working on is now a preprint on the arxiv and on ResearchGate. I helped mentor two undergraduate students as our group investigated different properties of the partial derivative of Okomoto's functions with respect to the parameter. Even though
From playlist Academic Talks
Inside your computer - Bettina Bair
View full lesson: http://ed.ted.com/lessons/inside-your-computer-bettina-bair How does a computer work? The critical components of a computer are the peripherals (including the mouse), the input/output subsystem (which controls what and how much information comes in and out), and the cent
From playlist Think Like a Coder #CampYouTube #WithMe
Functional Analysis Lecture 23 2014 04 17 L^p boundedness of Singular Integrals, end; Baire Category
Finishing the weak-type estimate. Strengthened weak-type estimate. Boundedness for p between 1 and 2. Using duality to obtain boundedness for p bigger than 2. Baire Category Theorem: review of elementary topological notions; definition of a set of first category (meager), a set of seco
From playlist Course 9: Basic Functional and Harmonic Analysis
The Sea Turns Red - Landing At Gallipoli I THE GREAT WAR - Week 40
Completely underestimating the Ottoman army at the Dardanelles, the British commanders decide to let the ANZACs take the Gallipoli peninsular as a gateway to the Bosporus and Constantinople. After the landing in ANZAC Cove and on Z Beach one thing comes clear though: Mustafa Kemal and his
From playlist World War 1 - 1915 (Season 2)
Abonniert den Kanal, damit er auch in Zukunft bestehen kann. Es ist vollkommen kostenlos und ihr werdet direkt informiert, wenn ich einen Livestream anbiete. Hier erkläre ich den Satz von Baire.
From playlist Funktionalanalysis