danck

In figure 1 bottom-right they show how the correct answers are being found later as the complexity goes higher. In the description they even state that in false responses the LRM often focusses on a wrong answer early and then runs out of tokens before being able to self-correct. This seems obvious and indicates that it’s simply a matter of scaling (bigger token budget would lead better abilities for complexer tasks). Am I missing something?

The obvious solution to narrow socks is wider socks. Ideally also with an asymmetrical shape that follows the feets anatomy.

Surprisingly there seems to be only one company that makes them: Plus12Socks

Their story is quite interesting. The company is a spin-off of an Austrian research group on children's foot health

Given the title I was very surprised to not have decision fatigue mentionend even once. Decision fatigue is the well studied and obvious answer to why we don't like to choose ALL THE TIME.

“The world, for years, had been waiting for a solution for the most difficult problem in mathematics. Termed as the millennium problem by the Clay Mathematical Institute, it challenged the world’s best brains.”

This is a bit overly dramatic since there are actually six more so called ‘millenium problems’ to solve. Anyway I enjoyed the read and learned something new about this fabulous achievement.

It may help to know that BioNTech were in fact the developers of the Pfizer vaccine:

https://en.wikipedia.org/wiki/Pfizer%E2%80%93BioNTech_COVID-...

Absolutly amazed to see this article on Hacker News.

This guy (the author) is the real deal. I once had the pleasure to visit his workshop and he had me test a bass drum he recently made. An amazing piece indeed. Just a gentle tap from the beater and it produced a rich and powerful but quiet sound!

I often hear famous and extraordinary drummers on Youtube state that playing quiet is a skill every drummer can acquire. Yes, but no: It really does depend on the instrument as well if that sounds good! And most drums just aren’t made for it.

I dropped out of my maths degree after struggling for six years (!) at university - I had fallen too far behind. I can't just blame my part-time jobs for that.

Especially early on I often dismissed problems and assignments that I felt I wouldn‘t be able to tackle in terms of time or intellect.

This wasn‘t what the successful students did. They took on every problem with determination and focus. No matter how hopeless. Along the way of failing they quickly developed their skills whereas I was falling more and more behind.

I then applied this lesson on my second attempt at university. A CS degree. Again I struggled at the beginning, but I became competent much quicker and in the end the degree was a breeze.

Still wish I‘d known this from the beginning...

You are suggesting that these are quotes from the article. They are not. Also in the linked interview one of the scientists leading the study openly admits these points: “We cannot simulate a world of UBI. [...] We will not find out anything about these economic consequences, not even about possible power shifts between employers and employees, the amount of net costs or the effects on migration.” This study is meant to add data to the picture and improve the discourse.

Once when I was frustrated with my current Job at a large corporation, an experienced friend told me the secret.

He said, they'd value "predictability over excellence".

Meaning, talk about your goals, give an estimation and arrive exactly on point. It doesn't matter if it's your personal project or projects/processes where you take the lead.

Being faster than estimated, or finding a better way and switching while your doing it will not be appreciated.

This really unlocked a lot of success and explained many glass walls i've been running into before.

Well, I have to agree. From a practical perspective.

You can invent and pick axioms in many ways that (probably) won't lead to inconsistencies. But they won't all be powerful enough or relevant in the real world.

If you only look at mathematics I think it's simply: - Axioms are invented - Conclusions are discovered

The magic part for me is that some axioms have been chosen so well that their conclusions are confirmed in the real world.