It's not "thinking." It's not "solving." It's simply stringing words together in a way that appears most likely.
ChatGPT cannot do math. It can only string together words and numbers in a way that can convince an outsider that it can do math.
It's a parlor trick, like Clever Hans [1]. A very impressive parlor trick that is very convincing to people who are not familiar with what it's doing, but a parlor trick nontheless.
What am I as a human doing when I "Do math" ?
1.I am looking at the problem at hand, identifying what I have and what I need to get
2.I am then doing a prediction using my pretrained neural net to find possible courses of action to go in a direction that "feels" right
3.I am using my pretrained neural net to find pairs of values that I can substitute with each other (Think multiplication tables, standard results, etc...)
4.Repeat till I arrive at the answer or give up.
As a simple example, when I try to find 600×74+42 I remember the steps for multiplication. I recall the associated pairs of numbers from my tables and complete the multiplication step by step. I then recall the associated pairs of numbers for addition of single digits and add from left to right.
We need to remember that just because we are fast at doing this and are able to do it subconsciously it doesn't mean that we can natively do math, we just do association of information using the neural networks we have trained.
Right but it has to reason about what that next word should be. It has to model the problem and then consider ways to approach it.
When an LLM is "reasoning" it's just feeding its own output back into itself and giving it another go.
It can produce outputs that resemble calculations.
It can prompt an agent to input some numbers into a separate program that will do calculations for it and then return them as a prompt.
Neither of these are calculations.
