How are you going to train a frontier level llm with no references to post 1700 mathematics?
Time cutoff LLMs are regularly posted to HN. It takes just one success to prove feasibility.
Besides, we can forecast our thoughts and actions to imagined scenarios unconditioned on their possibility. Something doesn't have to be possible for us to imagine our reactions.
Archimede was close.
"frontier level" is doing a lot of work there, but the idea would be to only feed it earlier sources.
There are people working on this.
e.g. https://github.com/haykgrigo3/TimeCapsuleLLM