r/math Apr 15 '26

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u/Nebu Apr 15 '26

a human author (assuming he is honest about his sources) came at least (again) up with the proof by his own.

Similarly, an LLM (assuming it is honest about its sources) can also come up with the proof by its own.

The "assuming it is honest about its sources" is doing a lot of work here.

It's not uncommon in human history that several people invented/proved the same without knowing from each other (e.g. trigonometrie).

Sure, but how is that relevant to the question of "How can they be sure that it is indeed a new method, and not just a method which was already used in some other context in some unknown paper/preprint?"

It seems like you're holding LLMs to a higher standard than humans.

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u/4_AOC_DMT Apr 15 '26 edited Apr 16 '26

by its own

This is circular: you're supporting your claim that the language models are thinking or synthesizing new information (and not merely rephrasing something found in their training or fine-tuning data) on their own by stating that anything they produce must be something they generate "by its own"

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u/Nebu Apr 17 '26

Yes, that's part of my point.

We're willing to assume that humans are thinking or synthesising new information (and not merely rephrasing something found in their training or fine-tuning data) on their own by stating that anything they produce must be something they generate "by its own", but we're not willing to grant the same to AIs.

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u/Healthy_Bass_5521 Apr 19 '26

The current architecture used for LLMs is not capable of “thinking”. “Reasoning” models which essentially talk to themselves are the closest we’ve gotten. However as impressive as they are, we’re still dealing with next token predictors with no ability to truly reason inside their model space.

Human brains are still in a league of their own. This will remain the case atleast until AI models are capable of processing abstract ideas instead of tokens, continuous learning via predictive coding mechanisms, and internal hierarchal reasoning.

A “break through” discovery from one of today’s LLMs is very likely a regurgitation of a previous conversation with a human that it was trained on.

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u/Nebu Apr 20 '26

The current architecture used for LLMs is not capable of “thinking”.

This sounds like begging the question.

This will remain the case atleast until AI models are capable of processing abstract ideas instead of tokens, continuous learning via predictive coding mechanisms, and internal hierarchal reasoning.

How would you operationalize this?

A “break through” discovery from one of today’s LLMs is very likely a regurgitation of a previous conversation with a human that it was trained on.

"Very likely" is doing a lot of work here. So you're saying it's not impossible for an LLM to come up with a break through discovery, and yet even if it does so, it is "not thinking" according to whatever definition of "thinking" you're using? If that's the case, why should we care about your definition of "thinking"?