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Arithmetic Without Numbers – How LLMs Do Math

alvaro-videla.com

31–40 of 43 posts

Re: Arithmetic Without Numbers – How LLMs Do Math

#32
post #26

Earlier quoted context omitted.

What's interesting is that one one hand LLM pumps are claiming a path to AGI.. while on the other hand, they are duct-taping in deterministic plugins for specific prompt types they find it better to offload... In X years is it just going to be a thin OS-like layer where a majority of work is being handled by other "programs".

> while on the other hand, they are duct-taping in deterministic plugins for specific prompt types they find it better to offload So, in essence, just like human beings?

For this category of problems, no, very unlike human beings.

Re: Arithmetic Without Numbers – How LLMs Do Math

#33
post #26

Earlier quoted context omitted.

What's interesting is that one one hand LLM pumps are claiming a path to AGI.. while on the other hand, they are duct-taping in deterministic plugins for specific prompt types they find it better to offload... In X years is it just going to be a thin OS-like layer where a majority of work is being handled by other "programs".

> while on the other hand, they are duct-taping in deterministic plugins for specific prompt types they find it better to offload So, in essence, just like human beings?

My point is what makes this terribly different than Alexa skills

Re: Arithmetic Without Numbers – How LLMs Do Math

#34
post #26

Earlier quoted context omitted.

> while on the other hand, they are duct-taping in deterministic plugins for specific prompt types they find it better to offload So, in essence, just like human beings?

For this category of problems, no, very unlike human beings.

Right.. plumbing in specific plugins for specific prompt forms feels like an expert system, rather than some general purpose intelligence.

Also big picture its hard to see it as some sort of self-improving intelligence if humans are hand crafting these paths and tools for it.

Re: Arithmetic Without Numbers – How LLMs Do Math

#35
post #5

Why doesn’t it just call tools such as Mathematica for such operations?

I was thinking the same thing. Why not call into a dedicated math tool?

But I don't as well, and I have some intuition about numbers that I would probably not have if I always relied on calculators. Would the same sort of thing apply to LLMs? I'm probably anthropomorphising here...

Re: Arithmetic Without Numbers – How LLMs Do Math

#38
post #9

Turing Award Winner: Thinking Clearly, Paxos vs Raft, Working With Dijkstra | Leslie Lamport https://www.youtube.com/watch?v=U719vQz-WFs Leslie Lamport : "I am not smart. I have the gift of abstraction." Real mathematics isn't about details. Its about concepts and abstractions and how we compose them (LLMs are good at those aspects).

That's an interesting quote, because Feynman's superpower seemed to be his ability to visualize a difficult problem and make it parsable by mere mortals. I think he only scored ~135 on an IQ test (whatever that's worth).

Re: Arithmetic Without Numbers – How LLMs Do Math

#39
post #9

Turing Award Winner: Thinking Clearly, Paxos vs Raft, Working With Dijkstra | Leslie Lamport https://www.youtube.com/watch?v=U719vQz-WFs Leslie Lamport : "I am not smart. I have the gift of abstraction." Real mathematics isn't about details. Its about concepts and abstractions and how we compose them (LLMs are good at those aspects).

That's an interesting quote, because Feynman's superpower seemed to be his ability to visualize a difficult problem and make it parsable by mere mortals. I think he only scored ~135 on an IQ test (whatever that's worth).

Pity Feynman didn’t write a Distributed Systems textbook…

Re: Arithmetic Without Numbers – How LLMs Do Math

#40
post #26

Earlier quoted context omitted.

What's interesting is that one one hand LLM pumps are claiming a path to AGI.. while on the other hand, they are duct-taping in deterministic plugins for specific prompt types they find it better to offload... In X years is it just going to be a thin OS-like layer where a majority of work is being handled by other "programs".

> while on the other hand, they are duct-taping in deterministic plugins for specific prompt types they find it better to offload So, in essence, just like human beings?

How creditable would Claude be if it couldn’t answer “1+2=3?”

Worse, this is really human beings trying to pretend that their AI is AGI.

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