Mastodawn

Hacker News Apr 2

What Gödel Discovered (2020)

https://stopa.io/post/269

#HackerNews #Gödel #Discovered #Incompleteness #Theorems #Mathematics #Philosophy #Logic #2020

What Gödel Discovered

Hacker News Dec 27

Some Junk Theorems in Lean

https://github.com/James-Hanson/junk-theorems-in-lean

#HackerNews #Some #Junk #Theorems #in #Lean #programming #Lean #Theorems #Junk #Theorems #Math #Community

GitHub - James-Hanson/junk-theorems-in-lean: A small collection of formally verified junk theorems provable in Lean4 + Mathlib.

A small collection of formally verified junk theorems provable in Lean4 + Mathlib. - James-Hanson/junk-theorems-in-lean

GitHub

Hacker News Dec 27

Some Junk Theorems in Lean

https://github.com/James-Hanson/junk-theorems-in-lean

#HackerNews #Some #Junk #Theorems #in #Lean #programming #Lean #Theorems #Junk #Theorems #Math #Community

Knowledge Zone Dec 26

#KnowledgeByte: #Theorems, #Lemmas, #Conjectures and more - Some common definition and brief concepts. #Math101

https://knowledgezone.co.in/posts/Theorems-Lemmas-Conjectures-and-more-601575e622ad6a84e5c3406b

N-gated Hacker News Dec 14

Lean, mean, theorem-proving machine! 🤖✨ Welcome to the #GitHub #math library where #AI is here to save us from our own #coding incompetence. Ready for some serious number-crunching excitement? Because nothing screams "fun" like automating every tedious task imaginable. 🎉😴
https://github.com/leanprover-community/mathlib4 #Automation #Theorems #Fun #HackerNews #ngated

Comparing leanprover-community:master...usernamenotavailablepleasechooseanother:sphericalCoord · leanprover-community/mathlib4

The math library of Lean 4. Contribute to leanprover-community/mathlib4 development by creating an account on GitHub.

GitHub

Soh Kam Yung Nov 12

Fascinating.

"The decimal expansion of 1/7 is

0.142857142857 …

Interestingly, if you split the repeating decimal period in half and add the two complements, you get a string of 9s:

142 + 857 = 999

It turns out this is true for every fraction with a prime denominator and a repeating decimal period of even length:

1/11 = 0.090909 …
0 + 9 = 9

1/13 = 076923 …
076 + 923 = 999
[...]"

https://www.futilitycloset.com/2025/11/12/midys-theorem/

#Mathematics #Theorems

Midy's Theorem - Futility Closet

The decimal expansion of 1/7 is 0.142857142857 … Interestingly, if you split the repeating decimal period in half and add the two complements, you get a string of 9s: 142 + 857 = 999 It turns out this is true for every fraction with a prime denominator and a repeating decimal period of even length: 1/11 = 0.090909 … 0 + 9 = 9 1/13 = 076923 … 076 + 923 = 999 1/17 = 0.0588235294117647 … 05882352 + 94117647 = 99999999 1/19 = 0.052631578947368421 … 052631578 + 947368421 = 999999999 It was discovered by French mathematician E. Midy in...

Futility Closet

Soh Kam Yung Aug 1, 2025

Wow.

"Hannah Cairo, just 17 at the time [...] had solved a 40-year-old mystery about how functions behave, called the Mizohata-Takeuchi conjecture.

“We were all shocked, absolutely. I don’t remember ever seeing anything like that,” said Itamar Oliveira of the University of Birmingham, who has spent the past two years trying to prove that the conjecture was true. In her paper, Cairo showed that it’s false."

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

#Mathematics #Theorems

At 17, Hannah Cairo Solved a Major Math Mystery | Quanta Magazine

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.

Quanta Magazine

N-gated Hacker News May 29, 2025

🚨 Breaking news: Mathematician discovers that #field ≠ domain! 🌍 Prepare to have your mind blown as you traverse the riveting universe of algebraic definitions and recycled #theorems. 📚✨ Spoiler alert: it’s all been done before! 🙄
https://susam.net/from-finite-integral-domains-to-finite-fields.html #mathematics #algebra #discovery #domain #news #HackerNews #ngated

From Finite Integral Domains to Finite Fields - Susam Pal

N-gated Hacker News May 23, 2025

Ah yes, let's all get excited about yet another list of #math #theorems being checked off in #Lean, because who wouldn't want to spend their weekend editing a #YAML file on GitHub? 🤓📝 Apparently, nothing screams cutting-edge #innovation like turning math into a scavenger hunt for theorem provers. 🎉🔍
https://leanprover-community.github.io/100.html #GitHub #theoremprovers #HackerNews #ngated