The title communicates a different idea than the body of the text. I'd rather give a quote from the body, which is very reasonable:

"We believe the recent developments have profound implications for mathematics but the systems are likely to be comparably strong in other technical domains, including cyber security, autonomous weapons, biological and chemical agent development and the spread of misinformation.

I have previously compared the arrival of these new AI tools to the moment Galileo picked up a telescope for the first time and was able to see things in our solar system that we’d never seen before. It is an exciting and transformative moment to be doing science. But it is also a very dangerous period and we need to be careful about our use of language when describing these dangers."

So the "problematic" part is not about mathematics, really.

> but the bottom line is that these are complex algorithms following rules

shallow article with some misconceptions like these. as if our brain is any different.