Mathematical logic | Theorems in the foundations of mathematics
Robinson's joint consistency theorem is an important theorem of mathematical logic. It is related to Craig interpolation and Beth definability. The classical formulation of Robinson's joint consistency theorem is as follows: Let and be first-order theories. If and are consistent and the intersection is complete (in the common language of and ), then the union is consistent. A theory is called complete if it decides every formula, meaning that for every sentence the theory contains the sentence or its negation but not both (that is, either or ). Since the completeness assumption is quite hard to fulfill, there is a variant of the theorem: Let and be first-order theories. If and are consistent and if there is no formula in the common language of and such that and then the union is consistent. (Wikipedia).
A theorem about isosceles -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Geometry Crash Course - Theorems for Congruent Triangles
Covers: - SSS - SAS - AAS - ASA - HL
From playlist Geometry Crash Course
Distinguished Visitor Lecture Series Finding randomness Theodore A. Slaman University of California, Berkeley, USA
From playlist Distinguished Visitors Lecture Series
Math 131 111416 Sequences of Functions: Pointwise and Uniform Convergence
Definition of pointwise convergence. Examples, nonexamples. Pointwise convergence does not preserve continuity, differentiability, or integrability, or commute with differentiation or integration. Uniform convergence. Cauchy criterion for uniform convergence. Weierstrass M-test to imp
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
Maths for Programmers: Sets (DeMorgan’s Law (Examples))
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From playlist Maths for Programmers
Abraham Robinson’s legacy in model theory and (...) - L. Van den Dries - Workshop 3 - CEB T1 2018
Lou Van den Dries (University of Illinois, Urbana) / 27.03.2018 Abraham Robinson’s legacy in model theory and its applications ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHe
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
This lesson provides a set example of De Morgan's Laws.
From playlist Sets (Discrete Math)
New constraints on the Galois configurations of algebraic integers.. - Vesselin Dimitrov
Joint IAS/Princeton University Number Theory Seminar Topic: New constraints on the Galois configurations of algebraic integers in the complex plane Speaker: Vesselin Dimitrov Affiliation: University of Toronto Date: June 11, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Math 131 Fall 2018 101018 Continuity and Compactness
Definition: bounded function. Continuous image of compact set is compact. Continuous image in Euclidean space of compact set is bounded. Extreme Value Theorem. Continuous bijection on compact set has continuous inverse. Definition of uniform continuity. Continuous on compact set impl
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)
Duality, quadrance and spread in Cartesian coordinates | Universal Hyperbolic Geometry 6
In this video we connect the notions of duality, quadrance and spread to the Cartesian coordinate framework, giving explicit formulas for the dual of a point, the quadrance between points, and the spread between lines in terms of coordinates. The proofs involve some useful preliminary res
From playlist Universal Hyperbolic Geometry
Surfaces of Section, Anosov Reeb Flows, and the C2-Stability Conjecture for... - Marco Mazzucchelli
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar 9:15am|Remote Access Topic: Surfaces of Section, Anosov Reeb Flows, and the C2-Stability Conjecture for Geodesic Flows Speaker: Marco Mazzucchelli Affiliation: École Normale Supérieure de Lyon Date: March 03, 2023 In
From playlist Mathematics
After Math: Reasoning, Proving, and Computing in the Postwar United States - Stephanie Dick
More videos on http://video.ias.edu
From playlist Historical Studies
Lecture 4: Production and Profit Maximization
MIT 14.04 Intermediate Microeconomic Theory, Fall 2020 Instructor: Prof. Robert Townsend View the complete course: https://ocw.mit.edu/courses/14-04-intermediate-microeconomic-theory-fall-2020/ YouTube Playlist: https://www.youtube.com/watch?v=XSTSfCs74bg&list=PLUl4u3cNGP63wnrKge9vllow3Y2
From playlist MIT 14.04 Intermediate Microeconomic Theory, Fall 2020
V4-08. Linear Programming. The Duality Theorem. part 2.
Math 484: Linear Programming. The Duality Theorem. part 2. Wen Shen, 2020, Penn State University
From playlist Math484 Linear Programming Short Videos, summer 2020
Catherine Greenhill (UNSW), The small subgraph conditioning method and hypergraphs, 26th May 2020
Speaker: Catherine Greenhill (UNSW) Title: The small subgraph conditioning method and hypergraphs Abstract: The small subgraph conditioning method is an analysis of variance technique which was introduced by Robinson and Wormald in 1992, in their proof that almost all cubic graphs are Ha
From playlist Seminars
HTE: Confounding-Robust Estimation
Professor Stefan Wager discusses general principles for the design of robust, machine learning-based algorithms for treatment heterogeneity in observational studies, as well as the application of these principles to design more robust causal forests (as implemented in GRF).
From playlist Machine Learning & Causal Inference: A Short Course
Jean Pierre Serre: Distributions des valeurs propres des Frobenius des variétés abéliennes ...
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Jean-Morlet Chair - Shparlinski/Kohel
My submission for the Summer of Math Exposition competition: https://www.youtube.com/watch?v=ojjzXyQCzso An introduction to the idea behind the mathematical definition of continuity. If you are familiar with the epsilon-delta definition of continuity, you may recognise it here, where I
From playlist Summer of Math Exposition Youtube Videos
A converse theorem of Gross-Zagier and Kolyvagin: CM case - Ye Tian
Joint IAS/PU Number Theory Topic: A converse theorem of Gross-Zagier and Kolyvagin: CM case Speaker:Ye Tian Affiliation: Chinese Academy of Sciences Date: October 26, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
The True Power of Model Theory – Compactness, Infinitesimals and Ax's theorem
Thanks for watching! Go check out all submissions to 3blue1brown's contest: https://3b1b.co/SoME1 Corrections and remarks: none yet, let me know in the comments if you have any. Sources and resources: – First-order logic, compactness theorem David Marker's book: https://www.springer.com
From playlist Summer of Math Exposition Youtube Videos