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How good is your intuition?
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LOL.
We're discussing whether LLMs can think and have intuition.
My point is, just because we can't read the probability matrix with which they formulate their answers, does not mean they have intuition.
There is no "probability matrix". There's an input matrix (which you provide it), various neuron weight matrices, and an output matrix (which contains the thing it says in response to your input).
It doesn't look up a table of things to say like a d100 table in an RPG. You've fundamentally misunderstood the technology.
It's not a magic 8 ball.
Oh, silly me. They have intuition and just say the first thing that they think of.