First Principles (@principiaprima) 's Twitter Profile
First Principles

@principiaprima

First things first | Life, Consciousness, Language, Philosophy, Physics, Mathematics | Papers pinned & in highlights

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calendar_today31-05-2023 15:09:37

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Physics In History (@physinhistory) 's Twitter Profile Photo

Collatz Conjecture ✍️ ∙ Start with any positive integer n. ∙ If n is even, divide by 2. If n is odd, compute 3n+1. ∙ Repeat this process, and you always seem to reach 1, but no one has proved it for all numbers!

Collatz Conjecture ✍️

∙ Start with any positive integer n.
∙ If n is even, divide by 2. If n is odd, compute 3n+1.
∙ Repeat this process, and you always seem to reach 1, but no one has proved it for all numbers!
First Principles (@principiaprima) 's Twitter Profile Photo

Anthony Bonato Let’s knock out some of the old conjectures and come up with a few more… Logic on Goldbach & Collatz conjectures pinned and in our Highlights. Read more on Goldbach here —>

First Principles (@principiaprima) 's Twitter Profile Photo

Dan Drennan Anthony Bonato It can be done — the human cognition aspect — deriving logical frameworks for these unsolved math problems. It can be done; I am confident. We can help refine the AI. You may be interested in our work on Collatz, Goldbach, and ancient math artifacts, one in particular. Also, see

First Principles (@principiaprima) 's Twitter Profile Photo

My original prompt to Grok (well, one of them) when teasing out the patterns of the Goldbach conjecture. I find Grok to be an excellent collaborator — helping me convey my ideas in a more sophisticated manner.

First Principles (@principiaprima) 's Twitter Profile Photo

Physics In History The wonders of ancient math • ••••••• ••••••• ••••••• ••••••• It could certainly have been used for that purpose. The Lebombo bone is an early calendar tool used for tracking natural cycles. The Ishango bone is a more complex version of a calendar

The Principia (@theprincipiaa) 's Twitter Profile Photo

The chief philosophical value of physics is that it gives the mind something distinct to lay hold of, which, if you don't, Nature at once tells you you are wrong. - James Clerk Maxwell

The chief philosophical value of physics is that it gives the mind something distinct to lay hold of, which, if you don't, Nature at once tells you you are wrong.

-  James Clerk Maxwell
adithya (@00aleph00) 's Twitter Profile Photo

In 1912, a German mathematician named Edmund Landau announced four unsolved math problems that he called "unattackable": - The Goldbach conjecture - The Twin prime conjecture - Legendre's conjecture - Primes of the form n^2 + 1 More than a 100 years later, none of these have

In 1912, a German mathematician named Edmund Landau announced four unsolved math problems that he called "unattackable":

- The Goldbach conjecture
- The Twin prime conjecture
- Legendre's conjecture
- Primes of the form n^2 + 1

More than a 100 years later, none of these have
First Principles (@principiaprima) 's Twitter Profile Photo

Since I am still seeking an endorser so that I can publish on arXiv, I have organized my “Highlights” section to include only the papers; this should make things easier for those looking to read or engage with my work. Categories: • Number Theory • History of Mathematics

Michael Button (@michaelbuttonx) 's Twitter Profile Photo

Someone created a mathematical device 20,000 years ago Scholars argue The Ishango Bone may display the prime numbers between 10 and 20, and possibly a lunar calendar Ancient humans were smarter than we think

Someone created a mathematical device 20,000 years ago

Scholars argue The Ishango Bone may display the prime numbers between 10 and 20, and possibly a lunar calendar

Ancient humans were smarter than we think
prof-g (@robertghrist) 's Twitter Profile Photo

you're a math researcher. you understand what's coming. do you: 1) write up as much as possible now while you still can assist, putting all your time into working w/AIs to produce? 2) draft up as many crazy ideas into sketch/outlines as possible, wait two years, then say "go!"

First Principles (@principiaprima) 's Twitter Profile Photo

Michael Button Not just for counting or the moon… This bone tool may have been the predecessor to modern technology — tools like the calculator or surveying instruments. I imagine it could be used to do calculations and, likely, to measure angles as well. Read more about how prime numbers