>LLMs think
Quick aside here: They do not think. They estimate generative probability distributions over the token space. If there's one thing I do agree with Dijkstra on, it's that it's important not to anthropomorphize mathematical or computing concepts.
As far as the rest of your comment, I generally agree. It sort of fits a Kantian view of epistemology, in which we have sensibility giving way to semiotics (we'll say words and images for simplicity) and we have concepts that we understand by a process of reasoning about a manifold of things we have sensed.
That's not probabilistic though. If we see someone reach a ledge and take a step over it, then we are making a synthetic a priori assumption that they will fall. It's synthetic because there's nothing about a ledge that means the person must fall. It's possible that there's another ledge right under we can't see. Or that they're in zero gravity (in a scifi movie maybe). Etc. It's a priori because we're making this statement not based on what already happened but rather what we know will happen.
We accomplish this by forming concepts such as "ledge", "step", "person", "gravity", etc., as we experience them until they exist in our mind as purely rational concepts we can use to reason about new experiences. We might end up being wrong, we might be right, we might be right despite having made the wrong claims (maybe we knew he'd fall because of gravity, however there was no gravity but he ended up being pushed by someone and "falling" because of it, this is called a "Gettier problem"). But our correctness is not a matter of probability but rather one of how much of the situation we understand and how well we reason about it.
Either way, there is nothing to suggest that we are working from a probability model. If that were the case, you wind up in what's called philosophical skepticism [1], in which, if all we are are estimation machines based on our observances, how can we justify any statement? If every statement must have been trained by a corresponding observation, then how do we probabilistically model things like causality that we would turn to to justify claims?
Kant's not the only person to address this skepticism, but he's probably the most notable to do so, and so I would challenge you to justify whether the "thinking" done by LLMs has any analogue to the "thinking" done using the process described in my second paragraph.
[1] https://en.wikipedia.org/wiki/Philosophical_skepticism#David...