Babylonians Used Applied Geometry 1,000 Years Before Pythagoras

 

• https://www.smithsonianmag.com/smart-news/ancient-tablet-shows-babylonians-used-pythagorean-geometry-1000-years-pythagoras-180978376/
• https://www.sciencealert.com/this-3-700-year-old-tablet-shows-the-oldest-known-example-of-applied-geometry 
  

How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer.

•  How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer.
• https://www.quantamagazine.org/how-many-numbers-exist-infinity-proof-moves-math-closer-to-an-answer-20210715/
• Martin’s Maximum++ implies Woodin’s axiom (∗) 
• https://annals.math.princeton.edu/2021/193-3/p03 
• https://en.wikipedia.org/wiki/Continuum_hypothesis
  

The Mathematics Handbook, compiled by Alexander Spartalis

"The Mathematics Handbook", v4.1, June 2nd, 2019. 

(formerly known as the "All In One Mathematics Cheat Sheet")

Alexander's web site for the book is here:  

• http://mathscheats.weebly.com/ 

You can find the full PDF here

• https://drive.google.com/file/d/1MM2Hu5qlptkg8dNLM9QibeXHErLz73Qy/view
• Now, 640 pages 

The Antikythera Mechanism

source: https://en.wikipedia.org/wiki/Antikythera_mechanism

• https://en.wikipedia.org/wiki/Antikythera_mechanism
• https://bigthink.com/robby-berman/an-ancient-device-too-advanced-to-be-real-gives-up-its-secrets-at-last

Octonions

Physicists puzzled by strange numbers that could explain reality
https://bigthink.com/surprising-science/physics-mystery-octonions

The Peculiar Math That Could Underlie the Laws of Nature

https://www.quantamagazine.org/the-octonion-math-that-could-underpin-physics-20180720/

 

Four Dimensional Maths: Things to See and Hear in the Fourth Dimension - with Matt Parker

Entertaining & Interesting...

Quantum Magazine: The Peculiar Math That Could Underlie the Laws of Nature

https://www.quantamagazine.org/the-octonion-math-that-could-underpin-physics-20180720/

"In 2014, a graduate student at the University of Waterloo, Canada, named Cohl Furey rented a car and drove six hours south to Pennsylvania State University, eager to talk to a physics professor there named Murat Günaydin. Furey had figured out how to build on a finding of Günaydin’s from 40 years earlier — a largely forgotten result that supported a powerful suspicion about fundamental physics and its relationship to pure math."

"The suspicion, harbored by many physicists and mathematicians over the decades but rarely actively pursued, is that the peculiar panoply of forces and particles that comprise reality spring logically from the properties of eight-dimensional numbers called 'octonions.'" 

https://www.furey.space/

Cohl Furey's YouTube Channel:

• https://www.youtube.com/channel/UCvsmxUuD5ZdOGittaeosXMA/videos
• 14 videos: Division algebras and the standard model
• https://www.youtube.com/playlist?list=PLNxhIPHaOTRZMO1VjJcs7_3dgyJ2qU1yZ