Galois theory: Algebraic closure
This lecture is part of an online graduate course on Galois theory. We define the algebraic closure of a field as a sort of splitting field of all polynomials, and check that it is algebraically closed. We hen give a topological proof that the field C of complex numbers is algebraically
From playlist Galois theory
Commutative Algebra - Integral Closures - part 03 - Integral Closedness is Local (an Normality)
In this video we show that being integrally closed is a local property.
From playlist Integral Closures
Commutative Algebra - Integral Closures - part 01 - Basics
This is a video for a second semester graduate algebra class.
From playlist Integral Closures
Field Theory - Algebraically Closed Fields (part 2) - Lecture 10
In this video we should that algebraically closed fields exist and are unique. We assume that the direct limit construction works. The construction here depends on the axiom of choice.
From playlist Field Theory
Closure of Sets (Allegra's Question)
clarifying the idea of closure of a set under an operation
From playlist Middle School This Year
Closed Intervals, Open Intervals, Half Open, Half Closed
00:00 Intro to intervals 00:09 What is a closed interval? 02:03 What is an open interval? 02:49 Half closed / Half open interval 05:58 Writing in interval notation
From playlist Calculus
Existence and Uniqueness of Solutions (Differential Equations 11)
https://www.patreon.com/ProfessorLeonard THIS VIDEO CAN SEEM VERY DECEIVING REGARDING CONTINUITY. As I watched this back, after I edited it of course, I noticed that I mentioned continuity is not possible at Endpoints. This is NOT true, as we can consider one-sided limits. What I MEANT
From playlist Differential Equations
Paola Cantù : Logic and Interaction:pragmatics and argumentation theory
HYBRID EVENT Recorded during the meeting "Logic and transdisciplinarity" the February 11, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiov
From playlist Logic and Foundations
All About Closed Sets and Closures of Sets (and Clopen Sets) | Real Analysis
We introduced closed sets and clopen sets. We'll visit two definitions of closed sets. First, a set is closed if it is the complement of some open set, and second, a set is closed if it contains all of its limit points. We see examples of sets both closed and open (called "clopen sets") an
From playlist Real Analysis
Two Varieties of the Subjective-Objective Distinction
In this clip John Searle distinguishes two important senses of the subjective-objective distinction (i.e. the epistemic versus the ontological), and even touches on some of the implications, particularly for a science of consciousness. This comes from a 2010 course on the philosophy of min
From playlist Philosophy of Mind
Anti-Vaxxers, Conspiracy Theories, & Epistemic Responsibility: Crash Course Philosophy #14
Today we explore what obligations we hold with our personal beliefs. Hank explains epistemic responsibility and the issues it raises with everything from religious belief, to ship owning, to vaccinations. -- Images via Wikimedia Commons, licensed under Creative Commons by 4.0: https://cr
From playlist Philosophy
Mod-06 Lec-28 The Philosophy of Buddha - V
Indian Philosophy by Dr. Satya Sundar Sethy, Department of Humanities and Social Sciences, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist IIT Madras: Introduction to Indian Philosophy | CosmoLearning.org Philosophy
On Genealogy (Genealogical Debunking/Skepticism)
We suffer from genealogical anxiety when we worry that the contingent origins of our representations, once revealed, will somehow undermine or cast doubt on those representations. Is such anxiety ever rational? Many have apparently thought so, from pre-Socratic critics of Greek theology to
From playlist Social & Political Philosophy
What is Epistemic Scepticism? - Gentleman Thinker
Doubt and scepticism are an important philosophical tool, and epistemic scepticism is the strongest form. Gentleman Thinker playlist: https://www.youtube.com/watch?v=94YV6Lu009k&list=PLvoAL-KSZ32cKobolNFwuqcPJ26cmF_11&index=1 Subscribe! http://www.youtube.com/subscription_center?add_user=
From playlist A-Level Philosophy
SYN124 - The Function of the Verb - Mood and Modality
In this final E-Lecture of the series functional aspects of the verb, Prof. Handke discusses the notions of mood and modality. He exemplifies the rudimentary mood system in PDE and discusses the three modlities, dynamic, deontic, and epistemic in detail.
From playlist VLC201 - The Structure of English
The Best Argument For Moral Realism?
A clip of Hilary Putnam giving a "Reductio Ad Rortyan" argument for moral realism (or against moral anti-realism) and then Nathan Nobis provides a similar such argument, a version of a companion in guilt argument. Note, this is a version of an upload from the previous channel of something
From playlist Ethics & Moral Philosophy
Language & Social Ontology (John Searle)
A wonderful talk given by John Searle at the University of Oslo back in 2011 on language and social ontology. He attempts to explain the distinctive features of human civilization. Animals have forms of social organization and communication, but they do not have money, property, government
From playlist Social & Political Philosophy
Stanford Seminar - On the Origin of Experience: The Shaping of Sense and the Complex World
"On the Origin of Experience: The Shaping of Sense and the Complex World" -Steven Ericsson-Zenith Colloquium on Computer Systems Seminar Series (EE380) presents the current research in design, implementation, analysis, and use of computer systems. Topics range from integrated circuits to
From playlist Engineering
Calculus: Absolute Maximum and Minimum Values
In this video, we discuss how to find the absolute maximum and minimum values of a function on a closed interval.
From playlist Calculus