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How To Count Past Infinity
How To Count Past Infinity Teacherflix 5 Views • 2 years ago

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 resources directly to growing science channels here on YouTube! https://www.curiositybox.com

my twitter: @tweetsauce
my instagram: electricpants

Sources and links to learn more below!

I’m very grateful to mathematician Hugh Woodin, Professor of Philosophy and Mathematics at Harvard, for taking the time on multiple occasions to discuss this topic with me and help me wrap my (finite) head around it.

I’m also grateful to David Eisenbud, the Director of the Mathematical Sciences Research Institute (MSRI) and professor of mathematics at the University of California, Berkeley, for his help and for connecting me with Hugh Woodin.

And of course, big thanks to Brady Haran who created the “mile of pi” seen in this video and connected me with all these mathematicians in the first place. His channel, Numberphile, is superb: https://www.youtube.com/user/numberphile

BOOKS related to these topics that I used:

“The Outer Limits of Reason” by Noson S. Yanofsky: http://amzn.com/0262019353
“Infinity and The Mind” by Rudy Rucker: http://amzn.com/0691121273
“Roads to Infinity” by John C. Stilwell: http://amzn.com/1568814666
“More Precisely: The Math You Need to Do Philosophy” by Eric Steinhart: http://amzn.com/1551119099
“Satan, Cantor and Infinity: Mind-Boggling Puzzles” by Raymond M. Smullyan: http://amzn.com/0486470369

classic book that helps introduce concept of axioms: “Introduction to the Foundations of Mathematics” by Raymond L. Wilder: http://amzn.com/0486488209

Hugh Woodin speaking about infinity at the World Science Festival: https://youtu.be/KDCJZ81PwVM?t=29m45s

Names of large (finite) numbers: https://en.wikipedia.org/wiki/....Names_of_large_numbe

Geoglyphs:

The biggest number: https://goo.gl/maps/7GWcpnzo7iG2

Fovant badges: https://en.wikipedia.org/wiki/Fovant_Badges

Battalion Park: https://en.wikipedia.org/wiki/Battalion_Park

A mile of pi [VIDEO]: https://www.youtube.com/watch?v=0r3cEKZiLmg

Wikipedia’s great visualization of ordinals out to omega^omega: https://en.wikipedia.org/wiki/....File:Omega-exp-omega

as seen on: https://en.wikipedia.org/wiki/Ordinal_number

this is also a good page about ordinals: http://math.wikia.com/wiki/Ordinal_Number

also: http://www.cut-the-knot.org/Wh....atIs/Infinity/Ordina

and: https://en.wikipedia.org/wiki/Order_type and https://en.wikipedia.org/wiki/Well-order

Axioms:
https://en.wikipedia.org/wiki/Axiom
https://www.reddit.com/r/asksc....ience/comments/30xok
http://philosophy.stackexchang....e.com/questions/5922
http://www.cs.umd.edu/~gasarch..../BLOGPAPERS/belaxiom
http://www.cs.umd.edu/~gasarch..../BLOGPAPERS/belaxiom

THE UNREASONABLE EFFECTIVENSS OF MATHEMATICS IN THE NATURAL SCIENCES
[PDF]: http://www.maths.ed.ac.uk/~aar/papers/wigner.pdf
https://en.wikipedia.org/wiki/....The_Unreasonable_Eff

Large Cardinal game based on 2048: http://cantorontheshore.blogsp....ot.it/2014/10/one-re

Other good resources:

http://quibb.blogspot.com/2012..../01/infinity-first-t
http://plato.stanford.edu/entries/set-theory/
http://cantorsattic.info/Cantor%27s_Attic
http://cantorontheshore.blogsp....ot.co.at/2014/09/art
http://isomorphism.es/post/107....82081422/what-comes-
https://lukepalmer.wordpress.c....om/2007/06/14/the-le

MUSIC BY:
http://www.youtube.com/JakeChudnow
http://www.audionetwork.com

Farm Animals in Spanish
Farm Animals in Spanish Teacherflix 4 Views • 7 months ago

https://www.patreon.com/homeschoolpop Learn how to talk about farm animals in Spanish! You will learn what cows, horses, chickens and other farm animals are called in Spanish!

00:00 Introduction
0:17 Farm
0:55 Farm animals
1:43 Cows
2:31 Chickens
2:52 Chicks
3:56 Horses
4:45 Review
5:45 Pigs
6:50 Goats
8:09 Review game


💙 Learning Spanish? Watch some of my other Spanish learning videos here: https://www.youtube.com/playli....st?list=PLNmq_T1B9lj

😎 You are SO cool! Thanks for learning with me!

Music Credits:

Winter Reflections by Kevin MacLeod Link: https://incompetech.filmmusic.io http://creativecommons.org/licenses/by/4.0/

Electro Cabello by Kevin MacLeod
Link: https://incompetech.filmmusic.io/song/3705-electro-cabello
License: http://creativecommons.org/licenses/by/4.0/

Thanks for watching and I hope to see you next video!!

Daniel
"Homeschool Pop"

Solving Matrix Equations
Solving Matrix Equations Teacherflix 4 Views • 2 years ago

This precalculus video tutorial provides a basic introduction into solving matrix equations. It contains plenty of examples and practice problems on solving equations with matrices.

Introduction to Matrices:
https://www.youtube.com/watch?v=yRwQ7A6jVLk

Adding and Subtracting Matrices:
https://www.youtube.com/watch?v=QXUbFzEd3Ww

Scalar Multiplication of Matrices:
https://www.youtube.com/watch?v=iJERwUVuwtY

Solving Matrix Equations:
https://www.youtube.com/watch?v=UHhvcj0doaA

Multiplying Matrices:
https://www.youtube.com/watch?v=vzt9c7iWPxs

__________________________________
Gaussian Elimination & Row Echelon Form:
https://www.youtube.com/watch?v=eDb6iugi6Uk

Gauss Jordan Elimination:
https://www.youtube.com/watch?v=eYSASx8_nyg

Gaussian Elimination With 4 Variables:
https://www.youtube.com/watch?v=4VAXv6yRULU

Inverse of a 2x2 Matrix:
https://www.youtube.com/watch?v=aiBgjz5xbyg

Inverse of a 3x3 Matrix:
https://www.youtube.com/watch?v=Fg7_mv3izR0

__________________________________
Determinant of 2x2 and 3x3 Matrix:
https://www.youtube.com/watch?v=3ROzG6n4yMc

Determinant of 4x4 Matrix:
https://www.youtube.com/watch?v=fWzUwrt1Z0s

Cramer's Rule - 2x2 Linear System:
https://www.youtube.com/watch?v=vXqlIOX2itM

Cramer's Rule - 3x3 Linear System:
https://www.youtube.com/watch?v=Ot87qLTODdQ

___________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio

What if a star explodes near Earth?
What if a star explodes near Earth? Teacherflix 2 Views • 7 months ago

People have witnessed supernovae for millennia, but what threat do they pose to life on Earth? This video is sponsored by Brilliant. You can get started for free, or the first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription.

▀▀▀
A massive thanks to Prof. Hans-Thomas Janka for helping us with the physics of supernovae and GRBs. A massive thanks to Prof. Brian Thomas for all of his help with the terrestrial effects of supernovae and GRBs. This video would not have been possible without them. Also thanks to Dr. Luke Barnes for his initial help with the literature search.

Hydrogen bomb vs Supernova fact was taken from this great article by xkcd/Randall Munroe – https://what-if.xkcd.com/73/ (based on the calculation by Andrew Karam, 2002)

Cosmic bubble footage from
https://www.cfa.harvard.edu/ne....ws/1000-light-year-w

Neutrino driven SN explosion simulations from https://iopscience.iop.org/art....icle/10.1088/2041-82

▀▀▀
References:

Melott, A. et al. (2019). Hypothesis: Muon radiation dose and marine megafaunal extinction at the End-Pliocene supernova. Astrobiology, 19(6), 825-830. – https://ve42.co/Melott1

Thomas, B. C. et al. (2016). Terrestrial effects of nearby supernovae in the early Pleistocene. The Astrophysical Journal Letters, 826(1), L3 – https://ve42.co/Thomas1

Melott, A. L., & Thomas, B. C. (2019). From cosmic explosions to terrestrial fires?. The Journal of Geology, 127(4), 475-481. – https://ve42.co/Melott2

Fields, B. et al. (2019). Near-Earth supernova explosions: Evidence, implications, and opportunities. arXiv preprint arXiv:1903.04589. – https://ve42.co/Fields1

Thomas, B. C., Atri, D., & Melott, A. L. (2021). Gamma-ray bursts: not so much deadlier than we thought. Monthly Notices of the Royal Astronomical Society, 500(2), 1970-1973. – https://ve42.co/Thomas2

Melott, A. et al. (2004). Did a gamma-ray burst initiate the late Ordovician mass extinction?. International Journal of Astrobiology, 3(1), 55-61. – https://ve42.co/Melott3

Firestone, R. B. (2014). Observation of 23 supernovae that exploded less than 300 pc from Earth during the past 300 kyr. The Astrophysical Journal, 789(1), 29. – https://ve42.co/firestone1

Janka, H. T. (2017). Neutrino emission from supernovae. arXiv preprint arXiv:1702.08713. – https://ve42.co/Janka1

Janka, H. T., & Hillebrandt, W. (1989). Neutrino emission from type II supernovae-an analysis of the spectra. Astronomy and astrophysics, 224, 49-56. – https://ve42.co/Janka2

Janka, H. T. (2017). Neutrino-driven explosions. arXiv preprint arXiv:1702.08825. – https://ve42.co/Janka3

Karam, P. A. (2002). Gamma and neutrino radiation dose from gamma ray bursts and nearby supernovae. Health physics, 82(4), 491-499. – https://ve42.co/Karam1

Melott, A. L., Thomas, et al.. (2017). A supernova at 50 pc: effects on the Earth's atmosphere and biota. The Astrophysical Journal, 840(2), 105. – https://ve42.co/Melott4

Ludwig, P., et al. (2016). Time-resolved 2-million-year-old supernova activity discovered in Earth’s microfossil record. Proceedings of the National Academy of Sciences, 113(33), 9232-9237. – https://ve42.co/Ludwig1

Gritschneder, et al. (2011). The supernova triggered formation and enrichment of our solar system. The Astrophysical Journal, 745(1), 22. – https://ve42.co/Gritschneder1

Motizuki, Y., Takahashi, et al. (2009). An Antarctic ice core recording both supernovae and solar cycles. arXiv preprint arXiv:0902.3446. – https://ve42.co/Motizuki

Zucker, C. et al. (2022). Star formation near the Sun is driven by expansion of the Local Bubble. Nature, 601(7893), 334-337. – https://ve42.co/Zucker1

Hirata, K. et al.(1987). Observation of a neutrino burst from the supernova SN1987A. – https://ve42.co/Hirata1

Hayes, L. A., & Gallagher, P. T. (2022). A Significant Sudden Ionospheric Disturbance Associated with Gamma-Ray Burst GRB 221009A. Research Notes of the AAS, 6(10), 222.

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Video/photos supplied by NASA, ESA, Pond5, and Getty Images
Music from Epidemic Sound & Jonny Hyman
Produced by Derek Muller, Petr Lebedev, and Emily Zhang

Why Does The Whole World Speak English?
Why Does The Whole World Speak English? Teacherflix 9 Views • 2 years ago

🇬🇧→🌍→🌏→🌎❓English is spoken just about everywhere today. But why did English spread so fast? And will it remain the word's lingua franca? The answers may shock you!

📺 WATCH NEXT:

10 Reasons English is Ridiculously Hard
👉🏼
https://youtu.be/DrlX-L4o2KM

📚 THE 25 RULES OF LANGUAGE LEARNING:

Get my free "Rules of Language Learning" guide and discover the key 25 principles you need to learn a new language quickly and naturally through stories. 👉🏼 https://bit.ly/rulesoflanguage

📖 LEARN A LANGUAGE THROUGH THE POWER OF STORY:

Want to learn a language OTHER than English? Stories are the best way. Forget the boring textbooks and time-wasting apps, and learn a language the natural, effective way with one of my story-based courses.
👉🏼 https://bit.ly/storylearningcourses

✍🏼 BLOG VERSION:

Prefer reading? Check out a blog post version of this video here:
👉🏼 https://bit.ly/slbenglishworld

⏱ TIMESTAMPS:

0:00 - English as 1st vs. 2nd Language
0:22 - Languages Come and Go
0:57 - Language Spread: Aramaic vs. Hebrew
1:30 - The First Global Lingua Franca
1:54 - Why Did English Go Viral?
3:12 - The Role of the British Empire
3:36 - Right Place, Right Time
4:40 - The Rules of Language Learning
5:01 - What Role Did the U.S. Play?
5:59 - The Role of Technology
6:24 - Will English Remain the World’s Lingua Franca?
7:16 - What About Mandarin Chinese?
8:04 - The Next Lingua Franca?

📜 SOURCES & ATTRIBUTIONS:

Wikipedia contributors. "List of languages by total number of speakers." Wikipedia, The Free Encyclopedia. Wikipedia, The Free Encyclopedia, 15 Dec. 2021. Web.

“Commonwealth and Anglosphere.svg” by Bearsmalaysia is licensed under CC BY-SA 3.0 via Wikimedia Commons

“Roman Empire Trajan 117AD.png” by Tataryn is licensed under CC BY-SA 3.0 via Wikimedia Commons

“Russian Federation (orthographic projection) - only Crimea disputed.svg” by AndLikeThings (original) Seryo93 (derivative) is licensed under CC BY-SA 3.0 via Wikimedia Commons

“CHN orthographic.svg” by Addicted04 is licensed under CC BY-SA 3.0 via Wikimedia Commons

“Achaemenid Empire at its greatest extent according to Oxford Atlas of World History 2002.jpg” by Mossmaps is licensed under CC BY-SA 4.0 via Wikimedia Commons

“Darius the great.jpg” by Peter.zn1 is licensed under CC BY-SA 4.0 via Wikimedia Commons

“Aramaic translation of the behistun inscripton.png” by Jona lendering is licensed under CC BY-SA 4.0 via Wikimedia Commons

“End of Roman rule in Britain 383 - 410.jpg” is licensed under CC BY-SA 3.0 via Wikimedia Commons

“1130 Anglo-Saxon Crossing.jpg” by Tgec17 is licensed under CC BY-SA 4.0 via Wikimedia Commons

“Europe-UK (orthographic projection).svg” by Rob984 is licensed under CC BY-SA 4.0 via Wikimedia Commons

WIKITONGUES: Sjoukje speaking West Frisian
https://youtu.be/aZGyISJ3djo

“Matthew-BristolHarbour-Aug2004.jpg” by Chris McKenna (Thryduulf) is licensed under CC BY-SA 4.0 via Wikimedia Commons

“DutchEmpire15.png” by red4tribe is licensed under CC BY-SA 3.0 via Wikimedia Commons

“Percentage of English speakers by country and dependency as of 2014.svg” by Soumya-8974 is licensed under CC BY-SA 4.0 via Wikimedia Commons

“Rolling Stones at Amsterdam Airport Schiphol (1964).jpg” by Hugo van Gelderen (ANEFO) is licensed under CC BY-SA 3.0 NL via Wikimedia Commons

“B.B. King Hamburg 1971.jpg” by Heinrich Klaffs is licensed under CC BY-SA 2.0 via Wikimedia Commons

“Michael Jackson in 1988.jpg” by Zoran Veselinovic is licensed under CC BY-SA 2.0 via Wikimedia Commons

“Hollywood Sign (Zuschnitt).jpg” by Thomas Wolf is licensed under CC BY-SA 3.0 via Wikimedia Commons

John Cena apologises for saying Taiwan is a country amid backlash https://youtu.be/z88zeQ25pjQ

“Francophone Africa 2018.png” by ព្រះមហាក្សត្ររាជ ​​ CC BY-SA 4.0 via Wikimedia Commons

“Total Fertility Rate Map by Country.svg” by Korakys is licensed under CC BY-SA 4.0 via Wikimedia Commons

We Found a Loophole to Survive the End of the Universe
We Found a Loophole to Survive the End of the Universe Teacherflix 7 Views • 7 months ago

Go to https://ground.news/nutshell to get 40% off unlimited access to Ground News so you can compare coverage and think critically about the news you read.

Sign up to the Birb’s Nest newsletter → https://shop.kgs.link/birb-nest
Get exclusive freebies, early access, and much more from the kurzgesagt universe.

Sources & further reading:
https://sites.google.com/view/....sources-surviveheatd

Can we survive the heat death of the universe? One day, the last star will die, galaxies will dissolve, and black holes will evaporate. The universe becomes a cold, empty void where nothing happens.
Forever. But there might be a loophole that lets life keep going.


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5 DIY Games to Practice Addition | Fun Math for Children
5 DIY Games to Practice Addition | Fun Math for Children Teacherflix 7 Views • 2 years ago

Math is part of the STEAM system - Science, Technology, Engineering, Art, and Mathematics! It is essential to teach all five of them. And the best way to engage with children is to turn lessons into a game. Leave a comment down below which part of STEAM your children are the most excited about!

⭕️ Math can be a hands-on activity! When we make it more tactile, it makes it easier for kids to learn. Filling up rubber gloves with rice, we make a new set of hands that the kids can count on. This is a great way to introduce addition and counting because the answer is visual. It’s also great for subtraction!

⭕️ Pin it Down. This addition game is a great start to doing sums in the head. All the answers are right there- you just have to do the work to find the right one! It’s really satisfying when you pin the equation to the right answer.

⭕️ Math Garage. I love this addition game because it shows how many different answers there can be to the same question. This is great for kids that are active and love to solve puzzles, or just love cars!

⭕️ Is it time to pick apples yet? This addition activity shows a whole math formula altogether. The apples on our math tree also help count, so you can double-check the answer you came up with. This one is also great for getting fast sums.

⭕️ The Addition Machine. Do you like my addition machine? I find because you can write your own numbers, this one is the most versatile of the bunch.
#TheDadLab #playandlearn #preschool #montessoriathome #montessorikids #learningthroughplay #learningisfun #preschoolteacher #preschoolactivities #preschooler #kindergarten #homeschool
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Square Roots and Cube Roots | Math with Mr. J
Square Roots and Cube Roots | Math with Mr. J Teacherflix 8 Views • 2 years ago

Welcome to Square Roots and Cube Roots with Mr. J! Need help with square roots and cube roots? You're in the right place!

Whether you're just starting out, or need a quick refresher, this is the video for you if you're looking for help with square roots and cube roots. Mr. J will go through examples of square roots, examples of cube roots, and explain what square roots and cube roots are.

Videos on Square Roots:
✅ What are Square Roots? | An Introduction to Square Roots =
https://youtu.be/yICR9PiW340
✅ Perfect Squares and Square Roots #1-5 = https://youtu.be/9eW69bATkzw
✅ Perfect Squares and Square Roots #6-10 = https://youtu.be/902lriJNXbQ
✅ Perfect Squares and Square Roots #1-10 = https://youtu.be/mN4EwkWsrE0
✅ Simplifying Square Roots = https://youtu.be/GjiA0nGYlLM
✅ Square Roots vs. Cube Roots = https://youtu.be/Sjpkp8-0t1s

Videos on Cube Roots:
✅ What are Cube Roots? | An Introduction to Cube Roots = https://youtu.be/OIT9BFwvPnc
✅ Perfect Cubes and Cube Roots #1-5 = https://youtu.be/1QGL7_2pyew
✅ Perfect Cubes and Cube Roots #6-10 = https://youtu.be/atLawWmXCiY
✅ Perfect Cubes and Cube Roots #1-10 = https://youtu.be/Ph5UI0wwq1A
✅ Simplifying Cube Roots = https://youtu.be/jWDnXlOUV4E
✅ Square Roots vs. Cube Roots = https://youtu.be/Sjpkp8-0t1s

About Math with Mr. J: This channel offers instructional videos that are directly aligned with math standards. Teachers, parents/guardians, and students from around the world have used this channel to help with math content in many different ways. All material is absolutely free. #MathWithMrJ

Click Here to Subscribe to the Greatest Math Channel On Earth: https://goo.gl/XHTrfY

Follow Mr. J on Twitter: @MrJMath5

Email: math5.mrj@gmail.com

Music: https://www.bensound.com/royalty-free-music

Hopefully this video is what you're looking for when it comes to square roots and cube roots.

Have a great rest of your day and thanks again for watching! ✌️✌️✌️

✅ Thanks to Aloud, this video has been dubbed into Spanish and Portuguese. #DubbedWithAloud

English
This video has been dubbed into Spanish (United States) and Portuguese (Brazil) using an artificial voice via https://aloud.area120.google.com to increase accessibility. You can change the audio track language in the Settings menu.

Spanish
Este video ha sido doblado al español con voz artificial con https://aloud.area120.google.com para aumentar la accesibilidad. Puede cambiar el idioma de la pista de audio en el menú Configuración.

Portuguese
Este vídeo foi dublado para o português usando uma voz artificial via https://aloud.area120.google.com para melhorar sua acessibilidade. Você pode alterar o idioma do áudio no menu Configurações.

Why Did These Ancient People Abandon Copper?
Why Did These Ancient People Abandon Copper? Teacherflix 5 Views • 7 months ago

Most cultures who developed metalworking technology never let the skill go to waste. But in what's now Michigan, Native Americans started making metal tools well before anyone else did, and then stopped. And the reason why this happened is hiding in the very metal that they were working: Copper. Thanks to Alexis Dahl for joining us on this episode. Check her out on YouTube here: https://www.youtube.com/alexisdahl

If you want to learn more about SciShow Rocks Box, head over to complexly.store/rocks

Hosted by: Savannah Geary (they/them) and Alexis Dahl (she/her)

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Is Santa Real? (A Scientific Analysis)
Is Santa Real? (A Scientific Analysis) Teacherflix 3 Views • 7 months ago

...and other Christmas mysteries answered with science!
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Happy Holidays! Ever wonder how Santa could possibly manage to deliver all those presents in a single night? Or what gives red-nosed reindeer the ability to fly? And why do your Christmas lights get tangled in knots no matter how carefully you put the away?!

Here's some Christmas-themed science, as our gift to you. See you in 2015!

SOURCES:
Why Christmas lights tangle: "Spontaneous knotting of an agitated string" http://www.pnas.org/content/104/42/16432

Apollo 8 "Santa sighting" https://archive.org/details/Apollo8Highlights

Santa's reindeer are probably female: http://www.livescience.com/321....49-are-santas-reinde

Reindeer hair is hollow and "buoyant" http://www.ncbi.nlm.nih.gov/pubmed/6150798

Reindeer really do have red noses: http://www.bmj.com/content/345..../bmj.e8311.full.pdf+

Reindeer eyes change color: http://phenomena.nationalgeogr....aphic.com/2013/10/29

Santa's challenge (check my math!): http://bit.ly/1sOW15q

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