Mathematical logic | Set theory | Families of sets
In mathematics, and particularly in set theory, category theory, type theory, and the foundations of mathematics, a universe is a collection that contains all the entities one wishes to consider in a given situation. In set theory, universes are often classes that contain (as elements) all sets for which one hopes to prove a particular theorem. These classes can serve as inner models for various axiomatic systems such as ZFC or Morse–Kelley set theory. Universes are of critical importance to formalizing concepts in category theory inside set-theoretical foundations. For instance, the canonical motivating example of a category is Set, the category of all sets, which cannot be formalized in a set theory without some notion of a universe. In type theory, a universe is a type whose elements are types. (Wikipedia).
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From playlist Science Unplugged: Big Ideas
The Primacy of Experiment - Kyle Cranmer
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
When scientists first suggested that universe could be compared to a computer, many balked at the concept. They pointed to the ancient Greeks who envisioned a universe of spheres, and later, those who compared it to the workings of a clock. But what the research is suggesting is nothing so
From playlist Mathematics
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From playlist Science Unplugged: Mathematics
The Universe Speaks in Numbers: Robbert Dijkgraaf and Edward Witten in Conversation
The Universe Speaks in Numbers - May 29, 2019 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
From playlist Natural Sciences
Why Do You Have Confidence That Math Is The Proper Language For Understanding Reality?
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From playlist Science Unplugged: Mathematics
The Universe Speaks in Numbers - Welcoming Remarks by Robbert Dijkgraaf
The Universe Speaks in Numbers - May 29, 2019 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
From playlist Natural Sciences
Welcome to the Mathematical Universe
Look around you. Underlying every aspect of the world is a language that we all know, though our use and expertise may vary. This language, mathematics, can be used to describe everything from the proliferation of waves through a medium to how many seeds will fit on a sunflower. The harder
From playlist Mathematics
The Shapes of Spaces and the Nuclear Force - Gregory Moore
The Universe Speaks in Numbers - May 29, 2019 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
From playlist Natural Sciences
Robbert Dijkgraaf - How is Mathematics Truth and Beauty?
Free access to Closer to Truth's library of 5,000 videos: http://bit.ly/376lkKN What is it about mathematics that mathematicians employ the language of philosophy to speak about “truth” and the language of art to speak about “beauty”? What makes mathematical propositions true? What makes
From playlist How is Mathematics Truth and Beauty? - CTT Interview Series
Women of Mathematics throughout Europe - A Gallery of portraits
Opening ceremony of an extended exhibition as part of the 8ECM, hosted by the University of Primorska. The exhibition is open from 15 May - 30 June 2021.
From playlist 8ECM Accompanying events
Four Types of Multiverse - Sixty Symbols
See all our multiverse videos: http://bit.ly/MultiverseVids Dr Tony Padilla here discusses Max Tegmark's four classes of Multiverse. Coin randomness (Numberphile): http://youtu.be/AYnJv68T3MM Ed playing with snow at CERN: http://youtu.be/MADzbn_EDdo Visit our website at http://www.sixtys
From playlist Multiverse - Sixty Symbols
Interview at Cirm: Mark Pollicott
Interview realized during the 'Thematic Month on Dynamical Systems and Interactions' at Cirm, organized by Nicolas Bédaride (Aix-Marseille Université), Julien Cassaigne (Aix-Marseille Université), Pascal Hubert (Aix-Marseille Université). Captation: 23 February 2017 Mark Pollicott (bor
From playlist English interviews - Interviews en anglais
Asking Ultimate Questions | Episode 513 | Closer To Truth
I like pushing boundaries, trying to discern existence, searching the foundations of reality, knowing all that can be known. Overly ambitious? Sophomoric? I don't care. I do it anyway. Here are ultimate questions. Featuring interviews with Lawrence Krauss, John Leslie, Max Tegmark, and Pau
From playlist Closer To Truth | Season 5
Manil Suri on How to Build the Universe with Math | Closer To Truth Chats
Mathematician Manil Suri talks about about his insightful new book, The Big Bang of Numbers: How to Build the Universe Using Only Math. He explores if math describes the universe or creates it, what "nothing" mean to a mathematician, and if all mathematically consistent systems create univ
From playlist Closer To Truth Chats
Paul Davies - Why the Cosmos? (Part 2)
Free access to Closer to Truth's library of 5,000 videos: http://bit.ly/376lkKN The search for meaning and purpose is humanity's never-ending quest. Some say that 'how' questions belong to the realm of science, but 'why' questions do not. Yet extraordinary scientific discoveries offer ra
From playlist Closer To Truth - Paul Davies Interviews
Do physicists describe the world in 4D?
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From playlist Science Unplugged: Physics
Wolfram Physics Project: a Conversation on Current Work (Jan. 26, 2021)
This is a Wolfram Physics Project conversation on our continuing efforts to make progress on the fundamental theory of physics. Begins at 3:00 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Ch
From playlist Wolfram Physics Project Livestream Archive