Explore the mind-bending concept of infinity in this 30-minute video from Wondrium's "Mind-Bending Math: Riddles and Paradoxes" series. Delve into the paradoxical nature of Hotel Infinity, also known as Hilbert's Hotel, and grapple with mathematical conundrums such as accommodating infinite guests in a fully booked infinite hotel. Investigate the relationship between prime numbers and infinity, unique prime factorization, and the intriguing Ross-Littlewood paradox involving ping pong balls, vases, and barrels. Examine the concept of supertasks, E. Brian Davies' theory on infinitely powerful computers, and the equality of 0.999... to 1. Presented by David Kung, this thought-provoking exploration challenges conventional understanding of numbers and sets the stage for a deeper appreciation of mathematical infinity.
Is Infinity a Number - Mind-Bending Paradoxes with David Kung
Overview
Syllabus
Conceptualizing Infinity
Imagining Infinity as a Hotel
What Happens If Infinitely Many New Guests Arrive and Hotel Infinity Has No Vacancies?
What If Two Busses Pulled Up, Each With Infinitely Many People On It?
What If Infinitely Many Busses Pulled Up With Infinitely Many People?
Relationship Between Prime Numbers and Infinity
Unique Prime Factorization
How Can the Hotel Infinite Accommodate Infinitely Many Ferries Holding Infinitely Many Buses Carrying Infinitely Many Passengers?
Infinity Conundrum with Ping Pong Balls, A Vase, and a Barrel
What Is a Supertask?
Common Answers to the Ross Littlewood Paradox
What If You Want Just the Even Balls in the Vase?
Writing Out the Answers for the Infinity Conundrum in Mathematical Notation
A Lesson About Infinity
Avoid Paradoxes About Infinity
What Are Supertasks?
E. Brian Davies Theory on an Infinitely Powerful Computer
MakerBot Makes Another Makerbot
Why Does .9 Repeating Equal 1?
Taught by
Wondrium
