Category theory | Mathematical relations
In the mathematical field of category theory, an allegory is a category that has some of the structure of the category Rel of sets and binary relations between them. Allegories can be used as an abstraction of categories of relations, and in this sense the theory of allegories is a generalization of relation algebra to relations between different sorts. Allegories are also useful in defining and investigating certain constructions in category theory, such as exact completions. In this article we adopt the convention that morphisms compose from right to left, so RS means "first do S, then do R". (Wikipedia).
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From playlist Science Unplugged: Mathematics
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
How does mathematics describe the physical features of the world?
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From playlist Science Unplugged: 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
National Museum Of Mathematics - Celebration of Mind
National Museum Of Mathematics - Celebration of Mind
From playlist Celebration of Mind
Visualizing decimal numbers and their arithmetic 67 | Arithmetic and Geometry Math Foundations
This video gives a precise definition of a decimal number as a special kind of rational number; one for which there is an expression a/b where a and b are integers, with b a power of ten. For such a number we can extend the Hindu-Arabic notation for integers by introducing the decimal form
From playlist Math Foundations
Plato's Philosophy - From Socrates to Sartre (1978)
Thelma Z. Lavine delivers a few lectures on Plato as part of a televised lecture series called 'From Socrates to Sartre, A Historical Introduction to Philosophy'. Note, the music has been edited out. 00:00 Shadow & Substance The Republic; the Socratic Method: the Allegory of the Cave - Pl
From playlist Social & Political Philosophy
http://www.teachastronomy.com/ A lot of fundamental concepts in physics are based on the idea of symmetry. Symmetry is familiar to us in an aesthetic sense. It often means things that have pleasing proportion, or look the same from every direction, or have a harmonious nature about them.
From playlist 23. The Big Bang, Inflation, and General Cosmology 2
Number theory and algebra in Asia (a) | Math History | NJ Wildberger
After the later Alexandrian mathematicians Ptolemy and Diophantus, Greek mathematics went into decline and the focus shifted eastward. This lecture discusses some aspects of Chinese, Indian and Arab mathematics, in particular the interest in number theory: Pell's equation, the Chinese rema
From playlist MathHistory: A course in the History of Mathematics
Dante in Translation (ITAL 310) This lecture deals with Paradise IV, VI and X. At the beginning of Paradise IV, the pilgrim raises two questions to which the remainder of the canto is devoted. The first concerns Piccarda (Paradise III) who was constrained to break her religious vows. Th
From playlist Dante in Translation with Giuseppe Mazzotta
Plato's Republic - Theory of Justice
Professor Charles Anderson provides an introductory overview of the thought of Plato and his famous work, the Republic. This comes from a course on Political, Economic, & Social Thought given at the University of Wisconsin a number of years back. #Philosophy #Plato #Ethics
From playlist Social & Political Philosophy
Proof with words #shorts #math #joke #manim #maths
From playlist MathShorts
Dante in Translation (ITAL 310) In this lecture, Professor Mazzotta discusses Inferno IX-XI. An impasse at the entrance to the City of Dis marks Virgil's first failure in his role as guide (Inferno IX). The invocation of Medusa by the harpies that descend while they wait for divine aid
From playlist Dante in Translation with Giuseppe Mazzotta
Episode 042: A Trans, Religious, Simulation Allegory, Oh My! The Matrix Film Franchise
Join Alex in an exploration of the themes and allegories — that have a psychological flair, of course — in The Matrix (1999) film franchise! In this episode, Alex dives into the Wachowski sisters' true meaning of the first film, which was a transgender allegory. He also explores the iconic
From playlist CinemaPsych Podcast
Medieval Bestiaries or Why the lion is called the 'King of Beasts'
The second-most popular books (behind the Bible) in medieval Europe were bestiaries. These hand-drawn, colorful books that listed creatures both real and fantastical included allegorical stories that affected the way we view some of the animals to this day. It is history that deserves to b
From playlist Europe
Ambrogio Lorenzetti, Palazzo Pubblico frescos: Allegory and effect of good and bad government
Ambrogio Lorenzetti, Allegory of Good Government, Effects of Good Government in the City and the Country, and Allegory and Effects of Bad Government in the City and the Country, Siena c. 1337-40, fresco, Sala della Pace (Hall of Peace) also know as the Sala dei Nove (the Hall of the Nine),
From playlist Renaissance & Reformation in Europe | Art History | Khan Academy
Plato’s Allegory of the Cave - Alex Gendler
View full lesson: http://ed.ted.com/lessons/plato-s-allegory-of-the-cave-alex-gendler Twenty four hundred years ago, Plato, one of history’s most famous thinkers, said life is like being chained up in a cave forced to watch shadows flitting across a stone wall. Beyond sounding quite morbi
From playlist New TED-Ed Originals
Comment Responses: What Are Stories With Telekinetics Really About?
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateidea Comment Responses! Tweet us! http://bit.ly/pbsideachanneltwitter Idea Channel Facebook! http://bit.ly/pbsideachannelfacebook Talk about this episode on reddit! http://
From playlist Comment Responses!
Geometry: Ch 5 - Proofs in Geometry (2 of 58) Definitions
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and give examples of definitions. Next video in this series can be seen at: https://youtu.be/-Pmkhgec704
From playlist GEOMETRY 5 - PROOFS IN GEOMETRY
'Animal Farm': The Title, Form, and Allegory
Buy my revision guides in paperback on Amazon*: Mr Bruff’s Guide to GCSE English Language https://amzn.to/2GvPrTV Mr Bruff’s Guide to GCSE English Literature https://amzn.to/2POt3V7 AQA English Language Paper 1 Practice Papers https://amzn.to/2XJR4lD Mr Bruff’s Guide to ‘Macbeth’ htt
From playlist 'Animal Farm' by George Orwell