Completeness and Orthogonality
A discussion of the properties of Completeness and Orthogonality of special functions, such as Legendre Polynomials and Bessel functions.
From playlist Mathematical Physics II Uploads
Logic: The Structure of Reason
As a tool for characterizing rational thought, logic cuts across many philosophical disciplines and lies at the core of mathematics and computer science. Drawing on Aristotle’s Organon, Russell’s Principia Mathematica, and other central works, this program tracks the evolution of logic, be
From playlist Logic & Philosophy of Mathematics
Connectives and its arithmetic semantics in Python
This video on logical connectives is basic but makes some important points for the upcoming SHA2 coding video. Previous video including a section on the history leading up to the notion of Turing completeness: https://youtu.be/CAUo5aNmvz8 Wikipedia links mentioned in this video: https://en
From playlist Logic
An introduction to the general types of logic statements
From playlist Geometry
http://www.teachastronomy.com/ Logic is a fundamental tool of the scientific method. In logic we can combine statements that are made in words or in mathematical symbols to produce concrete and predictable results. Logic is one of the ways that science moves forward. The first ideas of
From playlist 01. Fundamentals of Science and Astronomy
The law of logical honesty and the end of infinity | Data structures in Math Foundations 178
It is time to end the delusion which pervades modern 20th century style mathematics, and move towards a true mathematics for the new millennium. Infinity needs to go! We need to accept the actual reality of mathematics, rather than some fairy-tale wishful dreaming that allows us to prop
From playlist Math Foundations
Reconsidering `functions' in modern mathematics | Arithmetic and Geometry Math Foundations 43
The general notion of `function' does not work in mathematics, just as the general notions of `number' or `sequence' don't work. This video explains the distinction between `closed' and `open' systems, and suggests that mathematical definitions should respect the open aspect of mathemat
From playlist Math Foundations
Math 131 092816 Continuity; Continuity and Compactness
Review definition of limit. Definition of continuity at a point; remark about isolated points; connection with limits. Composition of continuous functions. Alternate characterization of continuous functions (topological definition). Continuity and compactness: continuous image of a com
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
Logic 10 - Recap | Stanford CS221: Artificial Intelligence (Autumn 2021)
For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai Associate Professor Percy Liang Associate Professor of Computer Science and Statistics (courtesy) https://profiles.stanford.edu/percy-liang Assistant Professor
From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2021
Language, Logic and Minecraft | How redstone can express logic
Today I explain how we can express logic in minecraft. I hope to cover comparators and multibit logic soon maybe. 0:00 Intro 0:44 Inspiration 1:31 Sentences and Truth 2:55 Combining Statements 3:49 Formal Logic 7:22 Quick Disclaimer 7:25 Representing Logic in Minecraft 11:05 Functional C
From playlist Summer of Math Exposition Youtube Videos
Fundamentals of Mathematics - Lecture 33: Dedekind's Definition of Infinite Sets are FInite Sets
https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html
From playlist Fundamentals of Mathematics
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
Logic 2 - First-order Logic | Stanford CS221: AI (Autumn 2019)
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3bg9F0C Topics: First-order Logic Percy Liang, Associate Professor & Dorsa Sadigh, Assistant Professor - Stanford University http://onlinehub.stanford.edu/ Associa
From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2019
Logic 1 - Propositional Logic | Stanford CS221: AI (Autumn 2019)
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3ChWesU Topics: Logic Percy Liang, Associate Professor & Dorsa Sadigh, Assistant Professor - Stanford University http://onlinehub.stanford.edu/ Associate Professor
From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2019
Foundations S2 - Seminar 8 - Light discussion of soundness, completeness, first vs second order
A seminar series on the foundations of mathematics, by Will Troiani and Billy Snikkers. In this seminar Billy leads a discussion of soundness, completeness and first vs second-order logic, as a recap of some of what has been discussed over the past few months in the seminar. The webpage f
From playlist Foundations seminar
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
algebraic geometry 30 The Ax Grothendieck theorem
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the Ax-Grothendieck theorem, which states that an injective regular map between varieties is surjective. The proof uses a strange technique: first prove the resu
From playlist Algebraic geometry I: Varieties
The Ultimate Guide to Propositional Logic for Discrete Mathematics
This is the ultimate guide to propositional logic in discrete mathematics. We cover propositions, truth tables, connectives, syntax, semantics, logical equivalence, translating english to logic, and even logic inferences and logical deductions. 00:00 Propositions 02:47 Connectives 05:13 W
From playlist Discrete Math 1
Pattern Programs In Java | Java Pattern Programs Tutorial | Java Tutorial For Beginners |Simplilearn
🔥Post Graduate Program In Full Stack Web Development: https://www.simplilearn.com/pgp-full-stack-web-development-certification-training-course?utm_campaign=PatternProgramsinJava-iY8X91No4cU&utm_medium=DescriptionFirstFold&utm_source=youtube 🔥Caltech Coding Bootcamp (US Only): https://www.s