> lookup likelihood is not indicative of understanding of concepts in any reasonable way. Where did I ever say that the thing was doing lookup? I only said it

> lookup likelihood is not indicative of understanding of concepts in any reasonable way. Where did I ever say that the thing was doing lookup? I only said it was producing a probability distribution. Is your claim that all programs are just doing lookup? > If the response to a algebraic equation was based upon probability of tokens in a corpus... Ah, I see the confusion. When I say “probability distribution” I do not mean “for each option, an empirical fraction out of all the options, that this particular option appeared in the corpus”. Rather, by “probability distribution”, I mean (in the discrete case) “an assignment of a number which is at least zero and at most one, to each of the options, and such that the sum of the assigned values add up to 1”. I am allowing that this assignment of values is computed (from what is being conditioned on) in any way whatsoever . If the correct answer is a number, it may compute the entire correct number through some standard means, and then look at however many correct tokens from the number are already present, and assign a probability of 1 to the correct next one, and 0 to all other tokens. If conditioning on a partial answer that has parts wrong, it may use an arbitrary distribution.