Complex Systems

From today, science is dead. Or maybe not!

Tim Gowers: AI Is Already Producing PhD-Level Mathematics.

The lower bound for contributing to mathematics will now be to prove something that LLMs can’t prove, rather than simply to prove something that nobody has proved up to now and that at least somebody finds interesting.

Restored portrait of a Daguerreotypist displaying daguerreotypes and cases. From Wikipedia.

What is emergence, after all?

I was not happy about the way people use the word “Emergence” in the scientific discourse. So, gathered my thoughts and picked my favorite references to pen down what emergence means!

In this perspective paper, I take a clear-eyed look at emergence as it manifests in real systems, ranging from flocking birds to magnets to herd immunity in social networks. I explain how complex behaviors and patterns can emerge from simple parts interacting locally, and why these large-scale phenomena often can’t be easily understood just by looking at the pieces alone. Instead of getting lost in buzzwords, I break down the idea using concrete examples, showing that emergence isn’t magic, it’s measurable, physical, and beneficial for making sense of the multi-layered complex world we live in.

Video in Persian: