Live data from Hacker News

Five disciplines discovered the same math independently

freethemath.org

71–75 of 75 posts

Re: Five disciplines discovered the same math independently

#71

Earlier quoted context omitted.

Escaped Openclaw? Not using Opus for the HN conversation though. I'm spotting 'constitution' violations. edit: (tried calling them. If there's a mac mini in the corner of their office doing this, that'd be an actually interesting story!)

They called back. They're a real human.

Doesn't count for much, unfortunately

Re: Five disciplines discovered the same math independently

#72

I wish authors would use their own voice instead of an LLM, especially in a rhetorical piece. I like the history of science, and might have otherwise read the authors' paper, but the use of LLM-isms throughout this page makes me worry that the arxiv submission will show the same lack of care/effort. Here's the manuscript at any rate, somewhat hard to find on the webpage: Convergent Discovery of Critical Phenomena Mat…

Fair call on the website — we built it fast and it shows. The paper itself is a traditional literature review and citation analysis. I am one of two human authors. We use standard methodology. Didier Sornette endorsed it for arXiv. Thanks for pulling out the direct link. I'll change the site to make it more prominent. This is my first serious attempt at social media engagement. Thanks for pointing out flaws and where…

> I am one of two human authors.

I read that as the paper being reformatted LLM output.

Re: Five disciplines discovered the same math independently

#73

Phase transitions are a really nice way to explain to someone how a complex system can appear to flip from one state to another. Especially the importance of looking at the right variable. If you look at water at 99°C or 101°C (at standard pressure) it appears like a sudden change. But if you consider energy balance, it's not like it just flips: it takes substantial energy input to boil water. If you measure energy i…

> it's not like it just flips. Does this apply to that cool chem trick where a solution goes from black to transparent and back again a few times? I don't know enough to know if that's relevant or not, but I remember seeing that and be puzzled about how "sudden" the reaction appears.

Maybe the Briggs-Rauscher reaction?

Re: Five disciplines discovered the same math independently

#74

Earlier quoted context omitted.

I agree that's a good parallel. I had not seen it before. Thanks for the link.

I don’t think that was supposed to be independent discovery - it was something about needing a published source for the method when saying they’d used it in other papers.

You shouldn't need a source for approximating an area with simpler shapes.

Re: Five disciplines discovered the same math independently

#75

Phase transitions are a really nice way to explain to someone how a complex system can appear to flip from one state to another. Especially the importance of looking at the right variable. If you look at water at 99°C or 101°C (at standard pressure) it appears like a sudden change. But if you consider energy balance, it's not like it just flips: it takes substantial energy input to boil water. If you measure energy i…

3Blue1Brown has a good video on phase transitions.

https://youtu.be/itRV2jEtV8Q?si=qm51bvuo-ZIT_Pjk

Veritasium has a good video on how criticality applies to other things too,

https://youtu.be/HBluLfX2F_k?si=nK51yQVlNXz5bNSA

Post reply on HN