Mathematical objects | Set theory | Constructivism (mathematics) | Basic concepts in set theory

Inhabited set

In constructive mathematics, a set is inhabited if there exists an element In classical mathematics, this is the same as the set being nonempty; however, this equivalence is not valid in intuitionistic logic (or constructive logic). (Wikipedia).

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Alien Planets Revealed | NOVA

Are we alone—and if not, what might the inhabitants of far-flung worlds look like? Aired January 8, 2014 on PBS

From playlist Previews

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Lusitania sleeping sun

I do not own this video nor the music this video was merely put here for convenience becaat the time i couldn't find the original and figured it had been taken down

From playlist 'Sleeping Sun' videos.

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4.) Quiz #1

From playlist Open Q&A

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PCB Wall

What to do with all those old PCBs from stuff you've taken apart...

From playlist Projects & Installations

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Labyrinth 3D - 28

One of my 3D Labyrinths. I love this architecture. It is completely randomly generated. I just choose the best ones. But as it turns out, I almost always keep them. They are all so good.

From playlist Labyrinth

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The Blue-Eyes Logic Puzzle

The Blue-Eyes Logic Puzzle comes from xkcd.com, who got it from a guy named Joel. (NB: The inhabitants know all the rules of the puzzle.) ... [I wrote a book! https://amzn.to/3tI332x] Contents: 0:00 Preamble 0:20 Puzzle set up 1:52 Admonition 2:13 Solution 4:54 Bob's Yer Uncle

From playlist Famous Math Problems

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Ancient Aliens: Intergalactic Energy Grid (Season 12, Episode 4) | History

Is it possible that ancient structures were designed to function together as part of an energy grid not just here on Earth but as part of a larger one that spans through the universe? #AncientAliens Subscribe for more from Ancient Aliens and other great HISTORY shows: http://histv.co/Subsc

From playlist Ancient Aliens: Official Series Playlist | New Episodes Fridays at 9/8c | History

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Why should you learn Type Theory?

This video tries to be a brief introduction to Type Theory. I am sorry for the inaccuracies or potential errors. Feel free to tell me in the comments, I just started learning about this topic but I found it too amazing not to share. As you probably already can tell, this is my first video

From playlist Summer of Math Exposition Youtube Videos

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The First Emperor's Home Base: Archaeological Perspectives on Ethnicity... - Lothar von Falkenhausen

The First Emperor's Home Base: Archaeological Perspectives on Ethnicity in Ancient China Lothar von Falkenhausen Professor of the History of Art University of California, Los Angeles October 22, 2010 Archaeologists working in China often correlate archaeological finds with ancient ethnic g

From playlist Historical Studies

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Martin Hötzel Escardó: Constructive Mathematics in Univalent Type Theory (Lecture II)

The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions

From playlist HIM Lectures: Trimester Program "Types, Sets and Constructions"

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Schubfachprinzip – Kombinatorische Überlegungen | Kaleidoskop der Mathematik

Wer hätte gedacht, dass es in Berlin mindestens zwei Menschen geben muss, die gleich viele Haare auf dem Kopf haben? Das Schubfachprinzip, auch „Pigeonhole principle“ genannt, ist ein wichtiges Werkzeug der Kombinatorik. Es besagt Folgendes: Wenn m Gegenstände auf n Schubfächer verteilt we

From playlist Kaleidoskop der Mathematik - Kurzvorlesungen für Schüler*innen der Oberstufe

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Benedikt Ahrens - Univalent Foundations and the UniMath library - IPAM at UCLA

Recorded 13 February 2023. Benedikt Ahrens of Delft University of Technology presents "Univalent Foundations and the UniMath library" at IPAM's Machine Assisted Proofs Workshop. Abstract: Univalent Foundations (UF) were designed by Voevodsky as a foundation of mathematics that is "invarian

From playlist 2023 Machine Assisted Proofs Workshop

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Ibn Hayyān - The Viking Attack on Seville (844) Arabic Primary Source

Ibn Hayyan, was a Muslim historian from Al-Andalus. Born at Córdoba, he was an important official at the court of the Andalusian ruler al-Mansur and published several works on history which have only survived in part. His books constitute one of the most important sources for the study of

From playlist Vikings

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LambdaConf 2015 - Parametricity The Essence of Information Hiding Kris Nuttycombe

This introductory talk is designed to help students new to functional programming understand how type parameters enable us to more easily reason about the behavior of functions and create APIs that enforce their invariants with type-level constraints. We will cover the principles of univer

From playlist LambdaConf 2015

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Astrobiology and the Search for Extraterrestrial Life - with Ian Crawford

What can modern results in astrobiology tell us about the prospects for finding intelligent life elsewhere in the Universe? Subscribe for regular science videos: http://bit.ly/RiSubscRibe The famous Drake equation, which provides a rough estimate of the number of civilisations in our gala

From playlist Ri Talks

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Karen VOGTMANN - Spaces of Graphs, Tori and Other Flat Gamma-complexes

Spaces of finite graphs play a key role in perturbative quantum field theory, but also in many other areas of science and mathematics. Among these is geometric group theory, where they are used to model groups of automorphism of free groups. Graphs can be thought of as 1-dimensional flat m

From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

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Ant Nest Made Entirely Out of ANTS! | Natural World: Ant Attack | BBC Earth

The driver ants march day and night, anticipating the arrival of their new Queen. She is brought to her new palace - a nest made entirely out of live ants. Subscribe: http://bit.ly/BBCEarthSub Watch more: Planet Earth http://bit.ly/PlanetEarthPlaylist Blue Planet http://bit.ly/BluePla

From playlist New On Earth: Wildlife, Nature and Science Documentaries

Related pages

Classical mathematics | Structure (mathematical logic) | Intuitionistic logic | Set (mathematics) | Well-formed formula | Riemann hypothesis | Classical logic | Empty set | Subset