The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics. It aims to understand the nature and methods of mathematics, and find out the place of mathematics in people's lives. The logical and structural nature of mathematics itself makes this study both broad and unique among its philosophical counterparts. The philosophy of mathematics has two major themes: mathematical realism and mathematical anti-realism. (Wikipedia).

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

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

Intro to the Philosophy of Mathematics (Ray Monk)

A good introduction to the philosophy of mathematics by Ray Monk. He considers the issue of the nature of mathematical truth - what mathematics is actually about - and discusses the views of Plato, Aristotle, Kant, Frege and Russell. What is mathematics about? Is mathematics something disc

From playlist Logic & Philosophy of Mathematics

What Are Numbers? Philosophy of Mathematics (Elucidations)

What is mathematics about and how do we acquire mathematical knowledge? Mathematics seems to be about numbers, but what exactly are numbers? Are numbers and other mathematical objects something discovered or invented? Daniel Sutherland discusses some of these issues in the philosophy of ma

From playlist Logic & Philosophy of Mathematics

Putting an opinion on YouTube - what could possibly go wrong! This is a bit more bloggy than I usually like to do. I'll be back next time with some proper mathematics. "What is the point of mathematics?"

From playlist My Maths Videos

The Scientific Method and the question of "Infinite Sets" | Sociology and Pure Maths| N J Wildberger

Let's get some kind of serious discussion going about the differences in methodology and philosophy between the sciences and mathematics, and how these differences manifest themselves in the attitude towards the logical foundations of mathematics. In particular we look at a bulwark notio

From playlist Sociology and Pure Mathematics

Problems with the Calculus | Math History | NJ Wildberger

We discuss some of the controversy and debate generated by the 17th century work on Calculus. Newton and Leibniz's ideas were not universally accepted as making sense, despite the impressive, even spectacular achievements that the new theory was able to demonstrate. In this lecture we di

From playlist MathHistory: A course in the History of Mathematics

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

What is the relationship between physics and philosophy?

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From playlist Science Unplugged: Big Ideas

The Philosophy of Science - Hilary Putnam & Bryan Magee (1978)

In this program, Hilary Putnam discusses the philosophy of science with Bryan Magee. This is from a 1978 series on Modern Philosophy called Men of Ideas. Hilary Putnam was an influential American philosopher, as well as a mathematician and computer scientist. As a major figure in analytic

From playlist Bryan Magee Interviews - Modern Philosophy: Men of Ideas (1977-1978)

Frege, Russell, & Modern Logic - A. J. Ayer & Bryan Magee (1987)

In this program, A. J. Ayer discusses the work of Gottlob Frege, Bertrand Russell, and modern logic with Bryan Magee. This is from the 1987 series on great philosophers. #Philosophy #Bryanmagee #BertrandRussell

From playlist Bryan Magee Interviews - The Great Philosophers (1987)

History of Science and Technology Q&A (April 6, 2022)

Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram If you missed the original livestream of

From playlist Stephen Wolfram Ask Me Anything About Science & Technology

Science & Technology Q&A for Kids (and others) [Part 58]

Stephen Wolfram hosts a live and unscripted Ask Me Anything about science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram Outline of Q&A 0:00 Stream starts 2:50 Stephen begins the s

From playlist Stephen Wolfram Ask Me Anything About Science & Technology

The Nature of Philosophy & Mathematics (Michael Dummett)

Michael Dummett discusses the nature of philosophy and mathematics and their a priori character in this clip from the beginning of a talk he gave on the philosophy of mathematics and Frege in 1994. The talk can be found here: https://youtu.be/ucPhfzCvKnE #Philosophy #Epistemology #Mathema

From playlist Shorter Clips & Videos - Philosophy Overdose

The Role of Mathematics in Philosophy | 2012

Prof. Douglas Kindschi of Grand Valley State University speaks on "The Role of Mathematics in Philosophy: Plato to Russell". This talk was part of the GVSU Math Department seminar series and was given in February 2012. https://archive.org/details/The_Role_Of_Mathematics_In_Philosophy_

From playlist Mathematics

Ernest Nagel on Computers, Logic, & Mind (1962)

A few clips of Dr. Ernest Nagel in an interview discussing things in relation to logic, computers, minds and machines. More information will be added later. #Philosophy #Mathematics

From playlist Logic & Philosophy of Mathematics

"The Universe Speaks in Numbers - Backstory" - Graham Farmelo

The Universe Speaks in Numbers Physics and mathematics seem to be in a pre-established harmony, as Gottfried Leibniz observed long ago. New ideas generated by mathematical researchers have often proved to be essential to physicists trying to discover the most basic laws of nature. Likewise

From playlist The Universe Speaks in Numbers