Number theorists | Philosophers of mathematics

Richard Dedekind

Julius Wilhelm Richard Dedekind [ˈdeːdəˌkɪnt] (6 October 1831 – 12 February 1916) was a German mathematician who made important contributions to number theory, abstract algebra (particularly ring theory), andthe axiomatic foundations of arithmetic. His best known contribution is the definition of real numbers through the notion of Dedekind cut. He is also considered a pioneer in the development of modern set theory and of the philosophy of mathematics known as Logicism. (Wikipedia).

Richard Dedekind
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Richard II by William Shakespeare - Starring John Gielgud - 1960

The audio drama performed by The Shakespeare Recording Society. Sir John Gielgud Sir Michael Hordern Leo McKern Keith Michell and cast Copyright 1960 Caedmon, The Shakespeare Recording Society, Inc. Published by HarperCollinsAudioBooks

From playlist John Gielgud's Recordings

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De Gaulle - Force of Character

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From playlist Portraits of Power - Those who shaped the Twentieth Century

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From playlist Portraits of Power - Those who shaped the Twentieth Century

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Franklin Delano Roosevelt: Four-Term Phenomenon (1933 – 1945)

Franklin Delano Roosevelt is a colossal figure in American History. He led the nation through the Great Depression, as well as World War II. He is the only president to be elected four times, and is widely regarded as one of the greatest presidents of all time, along with Washington and Li

From playlist American History

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James Galway Plays Syrinx by Debussy

James Galway performing Syrinx by Debussy.

From playlist experimental classical

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Difficulties with Dedekind cuts | Real numbers and limits Math Foundations 116 | N J Wildberger

Richard Dedekind around 1870 introduced a new way of thinking about what a real number `was'. By analyzing the case of sqrt(2), he concluded that we could associated to a real number a partition of the rational numbers into two subsets A and B, where all the elements of A were less than al

From playlist Math Foundations

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Hitler and the Hohenzollerns - The Kaiser's Family & the Nazis

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From playlist Hitler Various Subjects

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From playlist An Infinite Playlist

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From playlist Cool Math Stuff

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Dear English People... THIS is how you pronounce German Mathematician's Names ( and Physicists )

Don't forget to share the video and to activate the bell button! =) Your most favourite Parent is backat it again with a brand new memestorm :v Enjoy the ride! I hope you can learn something from this video and that it helps you pronounce the names of bois like Papa Euler, Daddy Riemann a

From playlist Misc

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Abstract Algebra | A PID that is not a Euclidean Domain

We present an example of a principal ideal domain that is not a Euclidean domain. We follow the outline described in Dummit and Foote. In particular, we show that an integral domain D is a PID if and only if it has a Dedekind-Hasse Norm and that every Euclidean domain has a universal side

From playlist Abstract Algebra

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From playlist David Eisenbud on Numberphile

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From playlist France Since 1871 with John Merriman

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From playlist Summer of Math Exposition Youtube Videos

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Set Theory (Part 15): Dedekind Cut Arithmetic

Please feel free to leave comments/questions on the video and practice problems below! In this video, we will set up arithmetic (addition and multiplication) for Dedekind cuts and thereby show that the real numbers form a complete ordered field. We will also prove some common laws of real

From playlist Set Theory by Mathoma

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From playlist Topology Without Tears

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From playlist Bicentenaire Joseph-Louis Lagrange

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Set Theory (Part 14): Real Numbers as Dedekind Cuts

Please feel free to leave comments/questions on the video and practice problems below! In this video, we will construct the real number system as special subsets of rational numbers called Dedekind cuts. The trichotomy law and least upper bound property of the reals will also be proven. T

From playlist Set Theory by Mathoma

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