> The ratio of cognition to knowledge is much higher in humans that LLMs. That is for sure. It is improving in LLMs, particularly small distillations of large models.
It isn't a case of ratio it is a fundamentally different method of working hence my point of not needing all human literary output do the the equivalent of an LLM. Consider even the case of a person born blind they have an even more severe deficiency of input yet they are equivalent in cognitive capacity to a sighted person and certainly any LLM.
> In the case of number multiplication, a bunch of papers have shown that the correct algorithm for the first and last digits of the number are embedded into the model weights. I think that counts as "understanding";
Why are those numbers in the model weights? What if the model was trained on birdsong instead of humanities output would it then be able to multiply? Humans provide the connections, the reasoning the thought the insights and the subsequent correlations THEN we humans try to make a good pattern matcher/ guesser (the LLM) to match those. We tweak it so it matches patterns more and more closely.
> most humans I have talked to do not have that understanding of numbers.
This common retort: most humans also makes mistakes, or most humans also do x, y, z means nothing. Take the opposite implication of such retorts. For example most humans can't multiply 10 digits numbers therefore most calculators 'understand' maths better than most humans.
> I don't think something being an algorithm means it can't reason, know or understand. I can come up with perfectly rigorous definitions of those words that wouldn't be objectionable to almost anyone from 2010, but would be passed by current LLMs.
My digital thermometer uses an algorithm to determine the temperature. It does NOT reason when doing so. An algorithm is a series of steps. You can write them on a piece of paper. The paper will not be thinking if that is done.
> I have found anthropomorphizing LLMs to be a reasonably practical way to....
I think anthropomorphising is letting people assume they are more than they are (next token generators). In fact at the extreme end this anthropomorphising has led to exacerbating mental health conditions and unfortunately has even led to humans killing themselves.