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
What are complex numbers? | Essence of complex analysis #2
A complete guide to the basics of complex numbers. Feel free to pause and catch a breath if you feel like it - it's meant to be a crash course! Complex numbers are useful in basically all sorts of applications, because even in the real world, making things complex sometimes, oxymoronicall
From playlist Essence of complex analysis
An introduction to algebraic curves | Arithmetic and Geometry Math Foundations 76 | N J Wildberger
This is a gentle introduction to curves and more specifically algebraic curves. We look at historical aspects of curves, going back to the ancient Greeks, then on the 17th century work of Descartes. We point out some of the difficulties with Jordan's notion of curve, and move to the polynu
From playlist Math Foundations
Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - Hélène Gispert - 17/11/17
En partenariat avec le séminaire d’histoire des mathématiques de l’IHP Darboux c’est aussi le nom d’un journal : le Bulletin des sciences mathématiques (1869-1917) Hélène Gispert, GHDSO, Université Paris-Sud 11 À l’occasion du centenaire de la mort de Gaston Darboux, l’Institut Henri Poi
From playlist Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - 17/11/2017
Introduction to Complex Differential Geometry -- Lecture 1 -- Intuition and Definition of Manifolds
I recently completed my Ph.D. under the supervision of Ben Andrews at the Australian National University and Gang Tian at Beijing and Princeton University. My Ph.D. thesis was in the subject of complex differential geometry, the interplay between complex analysis, algebraic geometry, and d
From playlist Research Lectures
Oxford 4f The Point of Hume's Analysis of Causation
A course by Peter Millican from Oxford University. Course Description: Dr Peter Millican gives a series of lectures looking at Scottish 18th Century Philosopher David Hume and the first book of his Treatise of Human Nature. Taken from: https://podcasts.ox.ac.uk/series/introduction-david
From playlist Oxford: Introduction to David Hume's Treatise of Human Nature Book One | CosmoLearning Philosophy
Want to Be a Complex Analysis Master? Read This.
In this video I go over a very famous book on complex analysis. This is not a beginner book on complex analysis. This is the kind of book you read very slowly:) I hope you enjoy this video. The book is called Complex Analysis and it was written by the very famous mathematician Lars Ahlfor
From playlist Book Reviews
Oxford 5c Of the Ancient and Modern Philosophies
A course by Peter Millican from Oxford University. Course Description: Dr Peter Millican gives a series of lectures looking at Scottish 18th Century Philosopher David Hume and the first book of his Treatise of Human Nature. Taken from: https://podcasts.ox.ac.uk/series/introduction-david
From playlist Oxford: Introduction to David Hume's Treatise of Human Nature Book One | CosmoLearning Philosophy
Why care about complex analysis? | Essence of complex analysis #1
Complex analysis is an incredibly powerful tool used in many applications, specifically in solving differential equations (Laplace's and others via inverse Fourier / Laplace transforms), and of course, fundamental theorem of algebra, Riemann hypothesis, as well as solving complicated integ
From playlist Essence of complex analysis
Oxford 4e Understanding Hume on Causation
A course by Peter Millican from Oxford University. Course Description: Dr Peter Millican gives a series of lectures looking at Scottish 18th Century Philosopher David Hume and the first book of his Treatise of Human Nature. Taken from: https://podcasts.ox.ac.uk/series/introduction-david
From playlist Oxford: Introduction to David Hume's Treatise of Human Nature Book One | CosmoLearning Philosophy
Advanced Calculus/Mathematical Analysis Book for Beginners
In this video I go over a great book for Beginners trying to learn how to write proofs in advanced calculus which is also known as mathematical analysis. The book is called Elementary Analysis: The Theory of Calculus It was written by Kenneth A. Ross This is the book on amazon: https://
From playlist Book Reviews
7 Hume’s “Sentimentalist” Theory of Morals - Reid's Critique of Hume (Dan Robinson)
Professor Dan Robinson gives the seventh in a series of 8 lectures on Thomas Reid's critique of David Hume at Oxford in 2014. In his Enquiry Concerning the Principles of Morals [1751], Hume states: “The final sentence, it is probable, which pronounces characters and actions amiable or odio
From playlist Reid's Critique of Hume (Dan Robinson)
Gabriele Giannantoni explains the logic of Aristotle in the context of the history of logic in interview from 1990. These clips are from the Multimedia Encyclopedia of the Philosophical Sciences. The translation is my own. #Philosophy #Aristotle
From playlist Aristotle
Oxford 4d Of the Necessary Connection
A course by Peter Millican from Oxford University. Course Description: Dr Peter Millican gives a series of lectures looking at Scottish 18th Century Philosopher David Hume and the first book of his Treatise of Human Nature. Taken from: https://podcasts.ox.ac.uk/series/introduction-david
From playlist Oxford: Introduction to David Hume's Treatise of Human Nature Book One | CosmoLearning Philosophy
Philosophy of Mathematics & Frege (Dummett 1994)
Michael Dummett gives a talk on Frege and the philosophy of mathematics. For a good introduction to the philosophy of mathematics, check out: https://www.youtube.com/watch?v=UhX1ouUjDHE Another good introduction to the philosophy of mathematics: https://www.youtube.com/watch?v=XyXWnGFKTkg
From playlist Logic & Philosophy of Mathematics
1 The "Representational" Theory of Knowledge - Reid's Critique of Hume (Dan Robinson)
Professor Dan Robinson gives the first in a series of 8 lectures on Thomas Reid's critique of David Hume at Oxford in 2014. Hume defends the thesis according to which “ALL THE PERCEPTIONS OF THE HUMAN MIND RESOLVE THEMSELVES INTO…IMPRESSIONS AND IDEAS”. Accordingly, “We may prosecute this
From playlist Philosophy of Mind
A Treatise on Integral Calculus Volume II by Edwards #shorts
A Treatise on Integral Calculus Volume II by Edwards #shorts Full Review: https://youtu.be/Hpzg48EVpjc This is the book on amazon: https://amzn.to/34N8xz9 (note this is my affiliate link) Book Review #shorts: https://www.youtube.com/playlist?list=PLO1y6V1SXjjPqMhU21NyGnwVnlF0UIheP Full
From playlist Book Reviews #shorts
A Treatise on Differential Equations by Forsyth #shorts
A Treatise on Differential Equations by Forsyth #shorts Full Review: https://youtu.be/T4bMhIfvp_g This is the book on amazon: https://amzn.to/3jOZkKS (note this is my affiliate link) Book Review #shorts: https://www.youtube.com/playlist?list=PLO1y6V1SXjjPqMhU21NyGnwVnlF0UIheP Full Book
From playlist Book Reviews #shorts
Sometimes people ask to see more advanced mathematics books. Here is one that is very advanced from my collection. It is called Concepts from Tensor Analysis and Differential Geometry and it was written by Tracy T. Thomas. Here are a few copies: https://amzn.to/3IJlTAI Here is a reprint I
From playlist Book Reviews