Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription.

Special thanks to Prof. Asaf Karagila for consultation on set theory and specific rewrites, to Prof. Alex Kontorovich for reviews of earlier drafts, Prof. Toby ‘Qubit’ Cubitt for the help with the spectral gap, to Henry Reich for the helpful feedback and comments on the video.

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References:

Dunham, W. (2013, July). A Note on the Origin of the Twin Prime Conjecture. In Notices of the International Congress of Chinese Mathematicians (Vol. 1, No. 1, pp. 63-65). International Press of Boston. — https://ve42.co/Dunham2013

Conway, J. (1970). The game of life. Scientific American, 223(4), 4. — https://ve42.co/Conway1970

Churchill, A., Biderman, S., Herrick, A. (2019). Magic: The Gathering is Turing Complete. ArXiv. — https://ve42.co/Churchill2019

Gaifman, H. (2006). Naming and Diagonalization, from Cantor to Godel to Kleene. Logic Journal of the IGPL, 14(5), 709-728. — https://ve42.co/Gaifman2006

Lénárt, I. (2010). Gauss, Bolyai, Lobachevsky–in General Education?(Hyperbolic Geometry as Part of the Mathematics Curriculum). In Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (pp. 223-230). Tessellations Publishing. — https://ve42.co/Lnrt2010

Attribution of Poincare’s quote, The Mathematical Intelligencer, vol. 13, no. 1, Winter 1991. — https://ve42.co/Poincare

Irvine, A. D., & Deutsch, H. (1995). Russell’s paradox. — https://ve42.co/Irvine1995

Gödel, K. (1992). On formally undecidable propositions of Principia Mathematica and related systems. Courier Corporation. — https://ve42.co/Godel1931

Russell, B., & Whitehead, A. (1973). Principia Mathematica [PM], vol I, 1910, vol. II, 1912, vol III, 1913, vol. I, 1925, vol II & III, 1927, Paperback Edition to* 56. Cambridge UP. — https://ve42.co/Russel1910

Gödel, K. (1986). Kurt Gödel: Collected Works: Volume I: Publications 1929-1936 (Vol. 1). Oxford University Press, USA. — https://ve42.co/Godel1986

Cubitt, T. S., Perez-Garcia, D., & Wolf, M. M. (2015). Undecidability of the spectral gap. Nature, 528(7581), 207-211. — https://ve42.co/Cubitt2015

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Special thanks to Patreon supporters: Paul Peijzel, Crated Comments, Anna, Mac Malkawi, Michael Schneider, Oleksii Leonov, Jim Osmun, Tyson McDowell, Ludovic Robillard, Jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Marinus Kuivenhoven, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal

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Written by Derek Muller, Adam Becker and Jonny Hyman
Animation by Fabio Albertelli, Jakub Misiek, Iván Tello and Jonny Hyman
Math City Animation by Another Angle 3D Visuals (www.anotherangle.ee)
Filmed by Derek Muller and Raquel Nuno
Edited by Derek Muller
Music and SFX by Jonny Hyman Additional Music from Epidemic Sound
Additional video supplied by Getty Images
Thumbnail by Geoff Barrett
Associate Producers: Petr Lebedev and Emily Zhang

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Come venture deep inside the world’s biggest physics machine, the Large Hadron Collider. This extraordinary feat of human engineering took 16 years and $10 billion to build, and just weeks ago began colliding particles at energies unseen since a fraction of a second after the big bang. We’ll explore this amazing apparatus that could soon reveal clues about nature’s fundamental laws and even the origin of the universe itself. John Hockenberry moderates a discussion among physicists including Marcela Carena, Monica Dunford, Jennifer Klay and Nobel laureate Frank Wilczek.

This program is part of The Big Idea Series, made possible with support from the John Templeton Foundation.

The World Science Festival gathers great minds in science and the arts to produce live and digital content that allows a broad general audience to engage with scientific discoveries. Our mission is to cultivate a general public informed by science, inspired by its wonder, convinced of its value, and prepared to engage with its implications for the future.

Subscribe to our YouTube Channel for all the latest from WSF.
Visit our Website: http://www.worldsciencefestival.com/
Like us on Facebook: https://www.facebook.com/worldsciencefestival
Follow us on twitter: https://twitter.com/WorldSciFest

Original Program Date: June 5, 2010
MODERATOR: John Hockenberry
PARTICIPANTS: Marcela Carena, Monica Dunford, Jennifer Klay, Frank Wilczek

John Hockenberry Introduction 00:14

What is the LHC? 04:57

Participant Introductions. 08:30

Where are we now with the LHC? 11:58

By smashing particles this creates a mini big bang? 16:58

What can the LHC do beyond Fermilab 21:30

How do you calculate the probability's that these particles are going to occur? 25:52

If you can create this mini big bang the energy changes are observable? 32:00

The search for the Higgs. 38:30

The standard model, Cosmological molasses, and Higgs. 44:25

How will you detect and confirm all of the predictions. 52:51

Departing form experimental evidence with super symmetry. 01:00:08

Are there places in space that have these particles? 01:07:07

Is there a limit to the number of particles you can expect? 01:13:50

Is there a possibility that the cosmological molasses is just a crutch? 01:22:16

The life of a LHC physicist. 01:26:49

⁣Thermodynamics and the End of the Universe: Energy, Entropy, and the Fundamental Laws of Physics.

Easy to understand animation explaining energy, entropy, and all the basic concepts including refrigeration, heat engines, and the end of all life in the Universe.

In this video. let us understand the terminology and basic concepts of Mathematical Modeling.
Link for the complete playlist.
https://youtube.com/playlist?l....ist=PLKR57ZbLAFd7qx7

This video explains the mathematical modeling of epidemics.

Online lecture by Dr. Stefano Rizzo, Dr. Mohamad Saad, Dr. Sanjay Chawla.
This is the fourth lecture in the series "AI and Data Science for COVID-19 Data" lecture series by the Qatar Center for Artificial Intelligence.

Epidemiological models are compartmental models that simulate the evolution of infectious disease outbreaks. The results of an epidemic simulation strictly depend on the model’s parameters; biological and others related to demographics and lifestyle.

This lecture will introduce the simplest compartmental models. It will also show how it is possible to extend the traditional SIR model, with the final aim of simulating outbreak scenarios under different policies and country’s specifics.

When epidemiologists are faced with addressing questions that are too difficult, expensive or dangerous to test in the real world, they turn to mathematical modeling. Hear how scientists from the Institute for Disease Modeling are using models to guide global efforts towards the eradication and control of infectious diseases.

Science in the City connects you with experts in our community to explore the latest in science and technology. Events feature a presentation designed for general audiences followed by a discussion. PacSci hosts multiple Science in the City talks every month, each with a different topic. Learn more at pacsci.org/sitc

This video will cover the some of the things that mathematics and epidemiological models can teach us about disease spread. We’ll first look at some of the most commonly used models, explore some of their useful applications, and finally, verify our findings using both a virtual simulation and statistics for the real world example of measles.

Timestamps
00:00 Intro
01:25 SIR Model
02:53 R0
05:36 SIR With Demography
07:49 Vaccination
09:26 Age of Infection
11:30 Interepidemic Period
12:44 Outro

Music by LAKEY INSPIRED
https://soundcloud.com/lakeyinspired
https://www.youtube.com/channe....l/UCOmy8wuTpC95lefU5

Thanks for watching

The field of study of chaos has its roots in differential equations and dynamical systems, the very language that is used to describe how any physical system evolves in the real world. This video aims to tell the story of chaos step by step, from simple non-chaotic systems, to different types of attractors, to fractal spaces and the language of unpredictability.

Timestamps:
00:00 - Intro
02:17 - Dynamical Systems
04:11 - Attractors
06:28 - Lorenz Attractor: Strange
08:54 - Lorenz Attractor: Chaotic

Music by:
Karl Casey @ White Bat Audio
https://www.youtube.com/watch?v=Gao-DHIyj0Q&ab_channel=WhiteBatAudio
https://www.youtube.com/watch?v=2gsn1HrDtdI&ab_channel=WhiteBatAudio
https://www.youtube.com/channe....l/UC_6hQy4elsyHhCOsk
LAKEY INSPIRED
https://soundcloud.com/lakeyinspired
https://www.youtube.com/channe....l/UCOmy8wuTpC95lefU5
Lucas Tie
https://www.youtube.com/watch?v=K5F2wz-Rig8&ab_channel=LucasTie
https://www.youtube.com/channe....l/UCFIK0Vk54HNOOZ1HD

References
Chaos: The Mathematics Behind the Butterfly Effect - James Manning
https://www.colby.edu/mathstat....s/wp-content/uploads
YFX1520 Nonlinear Dynamics Lecture 9 - Dmitri Kartofelev
https://www.ioc.ee/~dima/YFX15....20/LectureNotes_9.pd
Attractors: Nonstrange to Chaotic - Robert L. V. Taylor
http://evoq-eval.siam.org/Port....als/0/Publications/S

The Jackson Laboratory's (JAX) Education team hosted a special Education-Interest-Group session on Racism in STEM. Over 100 JAX employees attended the event, which aimed to start important discussions.

Kai Mills is a former JAX summer student & current English teacher. Torrian Green is a behavioral research specialist in JAX’s Center for Biometric Analysis. Lawal Raman is a postdoc in the Dumont lab who studies the patterns of genetic mechanisms that give rise to genetic diversity in house mouse populations. Maya Caines is a program coordinator for JAX Genomic Education.

Speakers:

Kai Mills: https://twitter.com/KAlexIsWrite

Lawal Raman: https://twitter.com/lawalakinyanju

Torrian Green

Moderator:

Maya Caines: https://twitter.com/mayacaines