Hilbert's paradox of the Grand Hotel

Hilbert Hotel Paradox

In this video, I discuss the famous Hilbert's Hotel Paradox, which says that if you have a countably infinite hotel that is fully booked out, you can still accommodate any (countable) number of hotel guests. Enjoy this magic adventure that leads us to infinities and even prime numbers You

From playlist Set theory

The Nature of Infinity: Hilbert's Hotel and Equinumerosity

We follow the allegory of Hilbert's hotel and the paradox of Galileo and what these teach us about equinumerosity and the varying nature of infinities. 0:00 Hilbert's Hotel 04:01 The Infinite Bus 08:06 The Infinite-Infinite Train 12:30 Equinumerosity & The Infinity of the Irrationals

From playlist Summer of Math Exposition 2 videos

The Practical Empire of Infinite Hotels: A math thought experiment

There are many math thought experiments out there. In fact, many creators have taken the time to explain The Hilbert Hotel, or Hilbert's Hotel thought experiment a famous mathematical thought experiment posed by David Hilbert in 1924. However, in this video I introduce a slight modificatio

From playlist The New CHALKboard

Is Infinity a Number? | Mind-Bending Paradoxes with David Kung

Imagine that you own a hotel. Your hotel has infinitely many rooms stretching down an infinite hallway—this is Hotel Infinity. Sometimes people call this Hilbert’s Hotel, after German mathematician David Hilbert. In this episode of "Mind-Bending Math: Riddles and Paradoxes", you will learn

From playlist Math and Statistics

The Infinite Hotel Paradox - Jeff Dekofsky

Sign up for our newsletter and never miss an animation: http://bit.ly/TEDEdNewsletter View full lesson: http://ed.ted.com/lessons/the-infinite-hotel-paradox-jeff-dekofsky Want more? Try to solve the buried treasure riddle: https://www.youtube.com/watch?v=tCeklW2e6_E The Infinite Hotel,

From playlist Math of the impossible

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

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

Infinity: The Science of Endless

"The infinite! No other question has ever moved so profoundly the spirit of man," said David Hilbert, one of the most influential mathematicians of the 19th century. A subject extensively studied by philosophers, mathematicians, and more recently, physicists and cosmologists, infinity stil

From playlist Explore the World Science Festival

Advanced Knowledge Problem of the Week 11-23-16

Kelsey discusses the logistics of inviting countably infinite many people to Thanksgiving dinner in this week's Advanced Knowledge Problem of the Week! Solution Transcript: http://bit.ly/2glL39j

From playlist Center of Math: Problems of the Week

The Banach–Tarski Paradox

Support Vsauce, your brain, Alzheimer's research, and other YouTube educators by joining THE CURIOSITY BOX: a seasonal delivery of viral science toys made by Vsauce! A portion of all proceeds goes to Alzheimer's research and our Inquisitive Fellowship, a program that gives money and resour

From playlist Science

Zero to Infinity | Full Documentary | NOVA | PBS

Discover how the concepts of zero and infinity revolutionized mathematics. Official Website: https://to.pbs.org/3tkPFTx | #novapbs Zero and infinity. These seemingly opposite, obvious, and indispensable concepts are relatively recent human inventions. Discover the surprising story of h

From playlist Full episodes I NOVA

Einstein's Relativistic Train in a Tunnel Paradox: Special Relativity

Special Relativity's Train in a Tunnel Paradox. My Patreon Account: https://www.patreon.com/EugeneK

From playlist Physics

Nonlinear interaction and the generation of structured beams by G K Samanta

DISCUSSION MEETING STRUCTURED LIGHT AND SPIN-ORBIT PHOTONICS ORGANIZERS Bimalendu Deb (IACS Kolkata, India), Tarak Nath Dey (IIT Guwahati, India), Subhasish Dutta Gupta (UOH, TIFR Hyderabad, India) and Nirmalya Ghosh (IISER Kolkata, India) DATE: 29 November 2022 to 02 December 2022 VEN

From playlist Structured Light and Spin-Orbit Photonics - Edited

Even More Paradoxical: The Twin Paradox in Curved Spacetime

The Twin Paradox gets a stranger, even more mind-bending upgrade in General Relativity's world of curved spacetime. We explore the surprising and relatively unknown results to these new scenarios, while getting our toes wet in some of GR's conceptual frameworks. And finally, after several

From playlist Summer of Math Exposition Youtube Videos

Does The Future Exist?

The concept of a space-time seems to suggest both the past and the future already exist and that the freedom of choice is an illusion. However, a deeper look into cause and effect, locality, light cones, and infinitesimals still leaves an opening for freewill. _____________________________

From playlist Einstein's Relativity

Infinity Paradoxes - Numberphile

Infinity can throw up some interesting paradoxes, from filling Hilbert's Hotel to painting Gabriel's Trumpet... Mark Jago is a philosophy lecturer with a background in computer science. More links & stuff in full description below ↓↓↓ The money game is known as St. Petersburg Paradox - it

From playlist Infinity on Numberphile