The end of infinity?

Mathematicians who call themselves ultrafinitists think that extremely large numbers are holding back science, from logic to cosmology, and they have a radical plan to do something about it

Some may differ…

http://archive.today/2025.08.11-072153/https://www.newscientist.com/article/2489813-why-mathematicians-want-to-destroy-infinity-and-may-succeed/

A003052: Self numbers or Colombian numbers (numbers that are not of the form m + sum of digits of m for any m)

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/Self_numbers.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/Self_numbers.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/Self_numbers.html

Decomposition into weight × level + jump of prime numbers in 3D, threejs - webGL (log(weight), log(level), log(jump))
https://decompwlj.com/3Dgraph/Prime_numbers.html

A003038: Dimensions of split simple Lie algebras over any field of characteristic zero

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A003038.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A003038.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A003038.html

Prime Grid!

https://susam.net/primegrid.html

Visualises primes using the Miller-Rabin test with bases from https://oeis.org/A014233. Works up to 3317044064679887385961980.

How #mathematics can make #nutrition more healthy and environmentally friendly (and you won't even notice): optimization of canteen menus. #Food #sustainability https://www.nature.com/articles/s43016-025-01218-8

Pure mathematics is, in its way, the poetry of logical ideas.
– Albert Einstein

#quotes
#mathematics

A002977: Klarner-Rado sequence: a(1) = 1; subsequent terms are defined by the rule that if m is present so are 2m+1 and 3m+1

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A002977.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A002977.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A002977.html

A002858: Ulam numbers: a(1) = 1; a(2) = 2; for n>2, a(n) = least number > a(n-1) which is a unique sum of two distinct earlier terms

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/Ulam_numbers.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/Ulam_numbers.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/Ulam_numbers.html

150 sequences decomposed into weight × level + jump in one GIF (log(weight),log(level)):
1000 on https://decompwlj.com/

Our Numbers Quiz is now live!
How many can you guess right?
https://youknowwhatblog.com/quizzes/numbers-quiz/
.
#pubquiz #pubtrivia #quiz #trivia #triviaquestions #fact #facts #didyouknow #youknowwhat #hard #hardmode #challenge #math #numbers #integer #mathematics #science

"After finding the homeschooling life confining, the teen petitioned her way into a graduate class at Berkeley, where she ended up disproving a 40-year-old conjecture."

https://www.quantamagazine.org/at-17-hannah-cairo-solved-a-major-math-mystery-20250801/
https://arxiv.org/abs/2502.06137

#HannahCairo #MizohataTakeuchiConjecture #HarmonicAnalysis #FourierRestrictionTheory #Mathematics https://mathstodon.xyz/@jcponcemath/115051499516743809

https://logicallycoherent.github.io/blog/introduction-to-linear-logic/
Linear #logic (and not only)

Terry on having his funding cut:

https://newsletter.ofthebrave.org/p/im-an-award-winning-mathematician

Reading "The Ten Equations That Rule the World" by David Sumpter. Actually rather light on the #mathematics, really just a platform for the author to present a number of life lessons. Not sure who the audience is for this.

(Personally, if I were to present math for life lessons I would put an emphasis on signal detection theory and the unavoidable trade-off between false positives & false negatives when setting a threshold for any realistic receiver operating characteristic.)

"Mathematics is a public activity. It occurs in a social context and has social consequences. Posing a problem, formulating a definition, proving a theorem are none of them private acts. They are all part of that larger social process we call science." – Nicolas D. Goodman
#quote #mathematics #math #maths

Les invitamos al seminario de Sistemas Complejos y Física Estadística que dará hoy lunes 18 de agosto, el prof. Alberto Robledo, en la Sala de Eméritos del Instituto de Física de la UNAM, a las 13h00. También se transmitirá en línea en este link:
https://zoom.us/join
Zoom Meeting ID:
874 35917844
Passcode:
S&st3mc0m
#science #physics #física #UNAM #complexsystems #sistemascomplejos #maths #mathematics #matematicas

If we multiply Zero (0) with Infinity (∞), then we can't determine the result. This is one of the 7 indeterminate forms in mathematics. I think this can be expressed philosophically as "When an Immovable Object meets an Unstoppable Force, the result is Cannot be Determined."