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0 pointskelseyfrog4d ago0 comments

> I still don't think if you trained an LLM with every pre-Newton/Liebniz algebra/geometry/trig text available, it could create calculus. (I'm open to being proven wrong.)

The experiment is feasible. If it were performed and produced a positive result, what would it imply/change about how you see LLMs?

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pegasus4d ago

GP was stating that they don't believe this would happen (I don't either), but also to make the point that it's a falsifiable view. (At least in theory. In practice, there probably won't even be enough historical text to train an LLM on). No, I don't think it would be falsified. Asking what if I'm wrong is kind of redundant. If I'm wrong, I'm wrong, duh.

sumeno4d ago

How are you going to train a frontier level llm with no references to post 1700 mathematics?

bjt4d ago

"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

lovecg4d ago

The problem is the amount of data with that cutoff is really minuscule to produce anything powerful. You might be able to generate a lot of 1700s sounding data, you’d have to be careful not to introduce newer concepts or ways of thinking in that synthetic data though. A lot of modern texts talk about rates of change and the like in ways that are probably influenced by preexisting knowledge of calculus.

NewJazz4d ago

Doesn't it prove GP's point then, that LLMs themselves simply aren't capable of creating/proving new theories and axioms?

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kelseyfrogOP4d ago

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.

anthk4d ago

Archimede was close.

nathan_compton4d ago

I don't think its really feasible - there just isn't enough training data before calculus. I would guess all the mathematical and philosophical texts available to Newton and Leibniz would fit on a CD-ROM with loads of space to spare.

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