Probability problems | Decision-making paradoxes | Probability theory paradoxes
Siegel's paradox is the phenomenon that uncertainty about future prices can theoretically push rational consumers to temporarily trade away their preferred consumption goods (or currency) for non-preferred goods (or currency), as part of a plan to trade back to the preferred consumption goods after prices become clearer. For example, in some models, Americans can expect to earn more American dollars on average by investing in Euros, while Europeans can expect to earn more Euros on average by investing in American dollars. The paradox was identified by economist Jeremy Siegel in 1972. Like the related two envelopes problem, the phenomenon is sometimes labeled a paradox because an agent can seem to trade for something of equal monetary value and yet, paradoxically, seem at the same time to gain monetary value from the trade. Closer analysis shows that the "monetary value" of the trade is ambiguous but that nevertheless such trades are often favorable, depending on the scenario. (Wikipedia).
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
What is General Relativity? Lesson 69: The Einstein Equation
What is General Relativity? Lesson 69: The Einstein Equation Having done so much work with the Einstein tensor, the interpretation of the Einstein equation is almost anti-climatic! The hard part is finding the Newtonian limit in order to understand the constant of proportionality between
From playlist What is General Relativity?
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
Newcomb's paradox | Famous Math Problems 7 | NJ Wildberger
Newcomb's paradox was first studied by American physicist William Newcomb, and popularized by articles by Robert Nozick and famously Martin Gardner in one of his 1974 Mathematical Games columns in Scientific American. The paradox involves notions of free will, determinism, choice, probabil
From playlist Famous Math Problems
LIVE - The end of the Universe - with Ethan Siegel - REPLAY
In today's live stream, we will be looking at the end of the universe with theoretical astrophysicist and science writer Ethan Siegel. Along the way we see how the knowledge that we have built up to come up with our best theory about the start of the universe could show us what may happe
From playlist Live streams / shows
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
Most paradoxes either stem from the misunderstanding of a topic, or aren't really paradoxes. However, here is a paradox that seems to contradict logic itself. What's going on here? And what does the liar paradox have to do with computer science? #some2
From playlist Summer of Math Exposition 2 videos
Why We Can't Deliver Drugs to the Brain
Why your brain says no to drugs: Meet the blood-brain barrier. SUBSCRIBE to BrainCraft! http://ow.ly/rt5IE My Twitter https://twitter.com/nessyhill | Instagram https://instagram.com/nessyhill BrainCraft is created, written and hosted by Vanessa Hill (@nessyhill) and brought to you by P
From playlist Science in Stop-Motion
Bugsy Siegel and His Criminal Empire - Fast Facts | History
Bugsy Siegel's criminal empire was rooted in bootlegging, gambling, and assassinations, and eventually expanded to Hollywood and Las Vegas casinos. Learn more in this video. Subscribe for more Fast Facts and other great HISTORY shows: http://histv.co/SubscribeHistoryYT Explore the life o
From playlist Fast Facts | History
General Relativity & Mathematical Reality
Yet another anecdote that (in my opinion) suggest that mathematics is the basis of our reality: Inside Einstein's Mind — PBS Nova In this brief clip explaining the beauty of Einstein's equation for General Relativity, Professor Robbert Dijkgraaf of Princeton's Institute for Advanced Study
From playlist Gravity
The Search for Siegel Zeros - Numberphile
Featuring Professor Tony Padilla. See https://brilliant.org/numberphile for Brilliant and get 20% off their premium service (episode sponsor) More links & stuff in full description below ↓↓↓ Yitang Zhang strikes again... Discrete mean estimates and the Landau-Siegel zero: https://arxiv.or
From playlist Tony Padilla on Numberphile
Salman Khan interview with NPR's All Things Considered on 12/28/2009
Salman Khan interview with NPR's All Things Considered on 12/28/2009
From playlist Khan Academy-Related Talks and Interviews
Symmetries show up everywhere in physics. But what is a symmetry? While the symmetries of shapes can be interesting, a lot of times, we are more interested in symmetries of space or symmetries of spacetime. To describe these, we need to build "invariants" which give a mathematical represen
From playlist Relativity
Open Space 61: Do I Think We'll Ever Travel Faster Than Light? And More...
In this week's life Q&A, I explain why we don't send animals to space any more, why I don't think we'll ever travel faster than the speed of light, and how graveyard orbits work. 00:35 Why don't we send animals to space anymore? 06:02 Will faster than light travel ever possible? 07:34 Wha
From playlist Open Space - Live QA with Fraser Cain and Guests
Gwathmey Siegel: Form and Counterform
Occasioned by the opening of the Yale School of Architecture exhibtion, "Gwathmey Siegel: Inspiration & Transformation", Kenneth Frampton, (Ware Professor of Architecture, Graduate School of Architecture , Planning and Preservation at Columbia University) lectures on the architecture, inn
From playlist Yale School of Architecture Public Lecture Series
Interview with Thomas Nikolaus
Thomas Nikolaus is a professor in the University of Münster, working in algebraic K-theory and homotopy theory. In this interview Thomas talks, among other things, about non-standard approaches to math seminars, the importance of branching out and asking questions, and the lack of feedback
From playlist Mathematics Münster News
Lynne Walling: Understanding quadratic forms on lattices through generalised theta series
Abstract: Siegel introduced generalised theta series to study representation numbers of quadratic forms. Given an integral lattice L with quadratic form q, Siegel’s degree n theta series attached to L has a Fourier expansion supported on n-dimensional lattices, with Fourier coefficients th
From playlist Women at CIRM
What Is Eternal Inflation? Universes Within Universes Featuring Ethan Siegel
In order to get the large scale structure of the Universe we see today, cosmologists have proposed the idea of inflation, that the Universe expanded an enormous amount in the earliest moments. But if inflation really happened, then it has even stranger implications for the nature of the Un
From playlist Guide to Space
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
É. Gaudron - Minima et pentes des espaces adéliques rigides (Part3)
Ce cours présente un abrégé de la théorie des minima et pentes successives des espaces adéliques rigides sur une extension algébrique du corps des nombres rationnels. Seront réunis dans un même tout une partie de la géométrie des nombres des ellipsoïdes de Minkowski, la théorie des pentes
From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes