Paradoxes of the Infinite (German title: Paradoxien des Unendlichen) is a mathematical work by Bernard Bolzano on the theory of sets. It was published by a friend and student, , in 1851, three years after Bolzano's death. The work contained many interesting results in set theory. Bolzano expanded on the theme of Galileo's paradox, giving more examples of correspondences between the elements of an infinite set and proper subsets of infinite sets. In the work he also explained the term Menge, rendered in English as "set", which he had coined and used in several works since the 1830s. (Wikipedia).
Here's a re-enactment of the famous paradox known as the "infinite monkey theorem."
From playlist Cosmic Journeys
You might have heard someone say the universe is "flat" or is "infinite." What does that mean? More importantly, is it true? Do we know for sure? Find out in this installment of mind-melting physics. But, even in a finite universe, do you still need infinity to explain the real world? Che
From playlist The Universe Explained
How real are the real numbers, really?
We usually say that infinity isn't real, but here we'll see how crucial it is to have one very big infinity for the real world; there is an infinite number of numbers. But why do we need real numbers at all? Aren't rational numbers enough? And what about hyperreal numbers? What we'll see
From playlist Some fun math videos about approximation
It's a concept which intrigues mathematicians, but scientists aren't so keen on it. More at http://www.sixtysymbols.com/
From playlist From Sixty Symbols
Martin Rees - What Would an Infinite Universe Mean?
Do stars and spaces go on forever? Do the numbers of galaxies, and even of universes, have no end? Is our universe infinite in size and contents? For more on information and video interviews with Martin Rees, please visit http://bit.ly/1CxZFr9 For more videos on the meaning of an infinit
From playlist Closer To Truth - Martin Rees Interviews
Big Bang in an infinite Universe
How the Big Bang can be reconciled with the possibility that we live in an infinite Universe.
From playlist Physics
How many kinds of infinity are there?
A lot. List with links: http://vihart.com/how-many-kinds-of-infinity-are-there/
From playlist Doodling in Math and more | Math for fun and glory | Khan Academy
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
Easter Special - Zeno's Paradox
In this holiday special, Tori explains the math behind the first two of Zeno's paradoxes, themed for Easter. John can indeed catch up to the Easter Bunny on his bike!
From playlist Center of Math BLOG: Holiday Mathematics
Epsilon delta limit (Example 3): Infinite limit at a point
This is the continuation of the epsilon-delta series! You can find Examples 1 and 2 on blackpenredpen's channel. Here I use an epsilon-delta argument to calculate an infinite limit, and at the same time I'm showing you how to calculate a right-hand-side limit. Enjoy!
From playlist Calculus
Online-Vortrag "Paradoxe Phänomene in der Mathematik" (Director's Cut)
Aufzeichnung (Director's Cut) der ersten virtuellen Ausgabe der öffentlichen Reihe "Brücken in der Mathematik". Prof. Dr. Martin Hils und Prof. Dr. Matthias Löwe erläutern paradoxe Phänomene in der Mathematik. Darum geht es: Die Welt – insbesondere die der Mathematik – ist voller Rätsel.
From playlist Brücken in der Mathematik
Online-Vortrag "Paradoxe Phänomene in der Mathematik" (Livestream)
Livestream-Aufzeichnung der ersten virtuellen Ausgabe der öffentlichen Reihe "Brücken in der Mathematik". Prof. Dr. Martin Hils und Prof. Dr. Matthias Löwe erläutern paradoxe Phänomene in der Mathematik. Dies ist die Original-Aufzeichnung des Livestreams. Hier finden Sie den "Director's C
From playlist Brücken in der Mathematik
The electric field in a uniform charge density throughout an infinite space. My Patreon page is at https://www.patreon.com/EugeneK
From playlist Physics
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
Why Is Space Black? The Mystery of Olber's Paradox
Since there are stars and galaxies in all directions, why is space black? Shouldn't there be a star in every direction we look? Support us at: http://www.patreon.com/universetoday More stories at: http://www.universetoday.com/ Follow us on Twitter: @universetoday Follow us on Tumblr: http
From playlist The Universe
Stochastic Supertasks | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Supertasks allow you to accomplish an infinite number of tasks in a finite amount of time. Find out how these paradoxical feats get even stranger once randomness is int
From playlist Probability
Olbers' Paradox | Introductory Astronomy Course 10.02
Welcome to Astronomy: Exploring Time and Space, a course from Professor Impey, a University Distinguished Professor of Astronomy at the University of Arizona. Learn about the foundations of astronomy in this free online course here on YouTube. This video is part of module 10, Cosmology. W
From playlist Introductory Astronomy Module 10: Cosmology
This Paradox Proves Motion is a Lie (Achilles and the Tortoise)
The Greek philosopher Zeno famously wrote a book of paradoxes 2,500 years ago that still continues to baffle scientists and philosophers today. One of his paradoxes, titled Achilles and the Tortoise, examines the idea of infinity in great philosophical complexity. Figuring out the answer t
From playlist Concerning Education
Infinite Limits With Equal Exponents (Calculus)
#Calculus #Math #Engineering #tiktok #NicholasGKK #shorts
From playlist Calculus
Paradoxes and Supertasks: Zeno, Littlewood-Ross and Thomson's Lamp
Tom Rocks Maths intern Kira Miller discusses the philosophy of 'supertasks' and how they are related to Zeno's Paradox, Thomson's Lamp and the Littlewood-Ross Paradox. Zeno's Paradox looks at convergent infinite sequences in the context of Achilles racing against a tortoise which is given
From playlist Mathstars