Algorithmic information theory | Mathematical paradoxes

Berry paradox

The Berry paradox is a self-referential paradox arising from an expression like "The smallest positive integer not definable in under sixty letters" (a phrase with fifty-seven letters). Bertrand Russell, the first to discuss the paradox in print, attributed it to G. G. Berry (1867–1928), a junior librarian at Oxford's Bodleian Library. Russell called Berry "the only person in Oxford who understood mathematical logic". The paradox was called "Richard's paradox" by Jean-Yves Girard. (Wikipedia).

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Circle and Tangent Phenomenon

Here’s a neat phenomenon that takes place in the context of a circle & a line drawn tangent to it. How can we prove one segment to be the geometric mean of the other two? 🤔 Source: Antonio Gutierrez. geogebra.org/m/DERWQcdF #GeoGebra

From playlist Geometry: Challenge Problems

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What is a singularity?

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From playlist Science Unplugged: Black Holes

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Russell's Paradox - A Ripple in the Foundations of Mathematics

Bertrand Russell's set theory paradox on the foundations of mathematics, axiomatic set theory and the laws of logic. A celebration of Gottlob Frege. Thank you to Professor Joel David Hamkins for your help with this video. Hi! I'm Jade. Subscribe to Up and Atom for physics, math and com

From playlist Math

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Berry's Paradox - An Algorithm For Truth

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From playlist Math

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The Corner Cube Problem

The corner cube problem is interesting because it initially looks difficult. When the problem was first posed to me, for example, it didn't know how to solve it. Still, my intuition bells were ringing, telling me there was a nice solution. In this video, I cover two of these solutions, in

From playlist Fun

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Morley's Theorem: Dynamic Illustration (w/o Words)

Link: https://www.geogebra.org/m/wwhDgwJd

From playlist Geometry: Challenge Problems

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Twins Paradox: The Complete Explanation

The twins paradox is easily the most famous paradoxes of all time. Using spacetime diagrams and the rules of relativity, we can show the paradox only happens because people are being lazy with special relativity. http://brilliant.org/ScienceAsylum ________________________________ VIDEO ANN

From playlist Einstein's Relativity

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Kolmogorov Complexity Solution - Applied Cryptography

This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.

From playlist Applied Cryptography

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Strong Collision Resistance - Applied Cryptography

This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.

From playlist Applied Cryptography

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John Grim on Religion and Ecology

John Grim, Professor at the Yale Schools of Forestry and Divinity, discusses religion and ecology projects.

From playlist Faith and Globalization

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Regular Polygon Phenomena!

GeoGebra Link: https://www.geogebra.org/m/ketkkfuj

From playlist Geometry: Challenge Problems

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Emergence of singularities from decoherence in a Josephson junction by Duncan H J O'Dell

Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q

From playlist Open Quantum Systems

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Topological Phases and their Electromagnetic Responses by Joel Moore

COLLOQUIUM TOPOLOGICAL PHASES AND THEIR ELECTROMAGNETIC RESPONSES SPEAKER: Joel Moore (UC Berkeley and LBNL) DATE: Mon, 11 October 2021, 11:00 to 12:30 VENUE: Online Colloquium RESOURCES ABSTRACT This talk starts by reviewing known examples of how topological materials generate new

From playlist ICTS Colloquia

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Professor Frances Rosenbluth: Women, Work, and Power: The Po

Professor Rosenbluth is a comparative political economist with research interests in war and constitutions, Japanese politics and political economy, and the political economy of gender. The author of numerous articles and book chapters, Professor Rosenbluth has written several books: The

From playlist The MacMillan Report

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Union, intersection and difference of sets in Geogebra

Union, intersection and difference of sets in Geogebra Unija, presjek i razlika skupova u Geogebri Step by Step tutorial here: https://youtu.be/aHhQhsgELG4 In case you wanna to pay me a drink: https://www.paypal.me/admirsuljicic/

From playlist Geogebra [Tutoriali]

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On the (unreasonable) effectiveness of compressive imaging – Ben Adcock, Simon Fraser University

This workshop - organised under the auspices of the Isaac Newton Institute on “Approximation, sampling and compression in data science” — brings together leading researchers in the general fields of mathematics, statistics, computer science and engineering. About the event The workshop ai

From playlist Mathematics of data: Structured representations for sensing, approximation and learning

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Q&A 53: How Many Planets Can We Detect? And More... Featuring Professor David Kipping

In this week's questions show, Fraser gets excited about the NIAC awards, considers how NASA will deal with a fully operational BFR, and a special guest answer from Professor David Kipping from Columbia University's Cool Worlds lab. Subscribe to Cool Worlds https://www.youtube.com/channel

From playlist Questions and Answers with Fraser Cain

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Regular Polygon Phenomena 2!

GeoGebra Link: https://www.geogebra.org/m/yvqwqk6h

From playlist Geometry: Challenge Problems

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Relativity: how people get time dilation wrong

Einstein’s special theory of relativity is notorious for being easy to misuse, with the result that sometimes result in claims of paradoxes. When one digs more carefully into the theory, you find that no such paradoxes actually exist. In this video, Fermilab’s Dr. Don Lincoln describes a

From playlist Relativity

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Nexus Trimester - Bruno Bauwens (Higher School of Economics)

Asymmetry of online Kolmogorov complexity Bruno Bauwens (Higher School of Economics) February 29, 2016 Abstract: In order for a source to reveal a string , it needs to store at least [Math Processing Error] bits of information ([Math Processing Error] represents the Kolmogorov complexity)

From playlist Nexus Trimester - 2016 - Central Workshop

Related pages

Alfred Tarski | Principia Mathematica | George Boolos | Integer | Bertrand Russell | Proposition | Formal language | Saul Kripke | Vicious circle principle | Ambiguity