PBS
Does Infinity - Infinity = an Electron
What do you get if you take something that’s infinitely massive and combining with something else that’s negative infinitely massive? You get a single electron, at least that’s what it looks like in our most precise way of describing the...
PBS
Is The Universe Finite?
Every time you walk out the door, light from the Big Bang strikes your face, enters your eyes. This is the cosmic microwave background radiation - the left-over heat-glow from the very early universe. We can’t see this microwave light...
PBS
Planck's Constant and The Origin of Quantum Mechanics | Space Time | PBS Digital Studios
Planck's Length is the length below which the concept of length loses its meaning. What exactly does that mean and what are the incredible implications this fact has upon our reality? To find out check out this episode of Space Time...
MinutePhysics
How to Simulate the Universe on your Laptop
One Minute Physics provides an energetic and entertaining view of old and new problems in physics -- all in one minute!
PBS
The Phantom Singularity
Isaac Newton's Universal Law of Gravitation tells us that there is a singularity to be found within a black hole, but scientists and mathematicians have found a number of issues with Newton's equations. They don't always accurately...
3Blue1Brown
The most unexpected answer to a counting puzzle: Colliding Blocks - Part 1 of 3
A puzzle involving colliding blocks where the number pi, vey unexpectedly, shows up.
3Blue1Brown
The most unexpected answer to a counting puzzle
A puzzle involving colliding blocks where the number pi, vey unexpectedly, shows up.
3Blue1Brown
The Wallis product for pi, proved geometrically
A proof of the Wallis product for pi, together with some neat tricks using complex numbers to analyze circle geometry.
3Blue1Brown
What does it feel like to invent math?
A journey through infinite sums, p-adic numbers, and what it feels like to invent new math.
3Blue1Brown
Why does this product equal pi/2? A new proof of the Wallis formula for pi.
A new and more circularly proof of a famous infinite product for pi.
PBS
The Speed of Light is NOT About Light
The speed of light is often cited as the fastest anything can travel in our universe. While this might be true, the speed of light is the EFFECT and not the CAUSE of this phenomenon. So what's the cause? On this week's episode of Space...
3Blue1Brown
Researchers thought this was a bug (Borwein integrals)
Correction: 4:12 The top line should not be there, as that integral diverges Timestamps 0:00 - The pattern 4:45 - Moving average analogy 10:41 - High-level overview of the connection 16:14 - What's coming up next
TED-Ed
TED-ED: The Infinite Hotel Paradox - Jeff Dekofsky
The Infinite Hotel, a thought experiment created by German mathematician David Hilbert, is a hotel with an infinite number of rooms. Easy to comprehend, right? Wrong. What if it's completely booked but one person wants to check in? What...
SciShow
What If the Universe Was Shaped Like a Donut?
The universe could be a donut in a fourth spatial dimension. Which would mean that we could potentially see our own galaxy repeated from the past... Our 3D brains aren't ready for this.
TED-Ed
TED-Ed: Infinity according to Jorge Luis Borges | Ilan Stavans
What would it be like to have a limitless memory? Can the meaning of life be found in an infinite library? Is time a labyrinth or a single moment? Jorge Luis Borges explored these questions of infinity in his many works. His body of...
PBS
A Hierarchy of Infinities
There are different sizes of infinity. It turns out that some are larger than others. Mathematician Kelsey Houston-Edwards breaks down what these different sizes are and where they belong in The Hierarchy of Infinities.
TED Talks
Kaki King: Playing "Pink Noise" on guitar
Kaki King, the first female on Rolling Stone's "guitar god" list, rocks out to a full live set at TED2008, including her breakout single, "Playing with Pink Noise." Jaw-dropping virtuosity meets a guitar technique that truly stands out.
PBS
How Infinity Explains the Finite
Peano arithmetic proves many theories in mathematics but does have its limits. In order to prove certain things you have to step beyond these axioms. Sometimes you need infinity.
TED-Ed
TED-Ed: How big is infinity? - Dennis Wildfogel
Using the fundamentals of set theory, explore the mind-bending concept of the "infinity of infinities" -- and how it led mathematicians to conclude that math itself contains unanswerable questions.
TED-Ed
TED-Ed: What is Zeno's Dichotomy Paradox? - Colm Kelleher
Can you ever travel from one place to another? Ancient Greek philosopher Zeno of Elea gave a convincing argument that all motion is impossible - but where's the flaw in his logic? Colm Kelleher illustrates how to resolve Zeno's Dichotomy...
MinutePhysics
Taming Infinity
In this episode we explain how physicists can tease information out of infinity.
PBS
Defining Infinity
Set theory is supposed to be a foundation of all of mathematics. How does it handle infinity?
Curated Video
How to Calculate Escape Speed: Derivation of Escape Velocity Formula
Explore the concept of escape velocity with Zog, an alien explorer, as he navigates the gravitational challenges of Planet Xyronis. This engaging story teaches about kinetic energy, gravitational potential energy, and the formula for...