Now LLMs made a big breakthrough that they showed we can do decent fuzzy reasoning in practice. But at the cost of nobody understanding the underlying process formally.
If we had a good unified (formal) theory of fuzzy reasoning, we could build models that reason better (or at least more predictably). But we won't get a better theory by scaling the existing models, I think Chomsky is right about that.
We lack the goal, not the means. If I am asking LLM a question, what answer do I want? A playfully creative one? A strictly logical one? A pleasingly sycophantic one? A harshly critical one? An out of the box devil's advocate one? A beautiful one? A practical one? We have no clue how to express these modes in logical reasoning.
We have LLMs that can get some boilerplate right if you use it in a greenfield project, and will repeatedly mess up your code once it grows enough for you to actually need assistance grokking it.
As someone who has worked in linguistics, I don't really see what you're talking about. Minimalism is not full of exceptions (please elaborate on a specific example if you have one). Minimalism was created to make the old theory, Government and Binding, simpler.
In a way, this collaboration between the machine and the human is better than what came before, because now productive actions can be taken sooner, and mathematicians do not have to doubt whether they are searching for a proof that exists.
- Predicate Fronting in Free Relatives: In sentences like “What John saw was a surprise,” labeling the fronted predicate is not without problems, Merge doesn’t yield a clear head.
- Optional Verb Movement in Persian: Yes-no questions where verbs can optionally move (e.g., “Did you go?” vs. “You went?”) messes up feature-checking’s binary mode.
- Non-Matching Free Relatives with Pied-Piping: Structures like “In whichever city you live, you’ll find culture” mess up standard labeling, needs extra stipulations.
- Some Subjects in Finnish: Nominative vs. non-nominative subjects (e.g., “Minua kylmä” [me-ACC cold]) complicate that Minimalist case assignment.