LLMs have been trained on a lot more data than any single human (text wise at least) for years now and these sort of results have only been possible for the latest crop of models in the past few months. Models get better as they get better.

The argument is whether models of today, suitably trained on pre-17th century data (if comparable quantity was available) would be able to "invent" calculus et cetera.

If we believe today's models are sufficiently capable to have been able to do so, why are we not getting these types of results today compared to the entire world knowledge and especially math?

Are research mathematicians simply not prompting LLMs in the right way?