In mathematics, Tarski's plank problem is a question about coverings of convex regions in n-dimensional Euclidean space by "planks": regions between two hyperplanes. Tarski asked if the sum of the widths of the planks must be at least the minimum width of the convex region. The question was answered affirmatively by Thøger Bang . (Wikipedia).
From playlist Geometry TikTok Problem Challenges
3 Squares Problem: Trigonometric Identity (Proof Without Words)
Link: https://www.geogebra.org/m/w8r7rn9Q
From playlist Trigonometry: Dynamic Interactives!
The 18th Century Tardigrade Debate
Check out "Study Hall: US history to 1865” as they explore American History from the earliest Indigenous groups to the Civil War. https://bit.ly/StudyHallHistory If you’ve ever wondered what it might take to upset a microscopist, just ask James—our master of microscopes—his feelings abou
From playlist Season 6
10% Students Solve This Trig Equation Wrong (Including me!)
Once you have a solid idea for how to solve trigonometric equations it is time for a challenge. A problem that will test you knowledge and ability to apply algebraic concepts to trigonometric equations. This problem does exactly that. ✅ Know when to use identities https://youtu.be/UArTc
From playlist Challenged and Confused Videos
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
Open Middle: Basic Trig Graphing Challenge
This new #OpenMiddle basic #trig function graphing problem is more challenging than it looks. It’ll also deepen Ss’ conceptual understanding re: amplitude & vertical shift. I’ve only found 2 solutions so far. https://www.geogebra.org/m/keceuy9k #GeoGebra #MTBoS #ITeachMath
From playlist Trigonometry: Dynamic Interactives!
This Math Theorem Proves that 1=1+1 | The Banach-Tarskis Paradox
Mathematicians are in nearly universal agreement that the strangest paradox in math is the Banach-Tarski paradox, in which you can split one ball into a finite number of pieces, then rearrange the pieces to get two balls of the same size. Interestingly, only a minority of mathematicians ha
From playlist Math and Statistics
Automated Economic Reasoning with Mathematica
Casey Mulligan
From playlist Wolfram Technology Conference 2019
Measurable equidecompositions – András Máthé – ICM2018
Analysis and Operator Algebras Invited Lecture 8.8 Measurable equidecompositions András Máthé Abstract: The famous Banach–Tarski paradox and Hilbert’s third problem are part of story of paradoxical equidecompositions and invariant finitely additive measures. We review some of the classic
From playlist Analysis & Operator Algebras
John Searle Interview on Perception & Philosophy of Mind
One of America’s most prominent philosophers says his field has been tilting at windmills for nearly 400 years. Representationalism (or indirect realism)---the idea that we don’t directly perceive external objects in the world, but only our own inner mental images or representations of obj
From playlist Philosophy of Mind
Mark Sapir - The Tarski numbers of groups.
Mark Sapir (Vanderbilt University, USA) The Tarski number of a non-amenable group is the minimal number of pieces in a paradoxical decomposition of the group. It is known that a group has Tarski number 4 if and only if it contains a free non-cyclic subgroup, and the Tarski numbers of tors
From playlist T1-2014 : Random walks and asymptopic geometry of groups.
Kurt Gödel Centenary - Part III
John W. Dawson, Jr. Pennsylvania State University November 17, 2006 More videos on http://video.ias.edu
From playlist Kurt Gödel Centenary
(PP 1.1) Measure theory: Why measure theory - The Banach-Tarski Paradox
A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5DB5E4 You can skip the measure theory (Section 1) if you're not interested in the rigorous underpinnings. If you choose to do this, you should start with "(PP 1.S) Measure
From playlist Probability Theory
It's time we got to the bottom of this... Media: https://youtu.be/g3W4sMkwQ6k
From playlist Concerning Questions
How the Axiom of Choice Gives Sizeless Sets | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Does every set - or collection of numbers - have a size: a length or a width? In other words, is it possible for a set to be sizeless? This in an updated version of our
From playlist An Infinite Playlist
Infinity shapeshifter vs. Banach-Tarski paradox
Take on solid ball, cut it into a couple of pieces and rearrange those pieces back together into two solid balls of exactly the same size as the original ball. Impossible? Not in mathematics! Recently Vsauce did a brilliant video on this so-called Banach-Tarski paradox: https://youtu.be/s
From playlist Recent videos
