Earlier quoted context omitted.
What I wonder, as a computer scientist: If you want to solve grade school math problems, why not use an 'add' instruction? It's been around since the 50s, runs a billion times faster than an LLM, every assembly-language programmer knows how to use it, every high-level language has a one-token equivalent, and doesn't hallucinate answers (other than integer overflow). We also know how to solve complex reasoning chains…
There is a general result in machine learning known as "the bitter lesson"[1], which is that methods which come from specialist knowledge tend to be beaten by methods which rely on brute force computation in the long run because of Moore's law and the ability to scale things by distributed computing. So the reason people don't use the "add instruction"[2] for example is that over the last 70 years of attempting to bu…
Let's forget for a moment that stuff has to run on an actual machine. If you had to represent a quadratic equation, would you rather write:
(a) x^2 + 5x + 4 = 0
(b) the square of the variable plus five times the variable plus four equals zero
When you are trying to solve problems with a level of sophistication beyond the toy stuff you usually see in these threads, formal language is an aid rather than an impediment. The trajectory of every scientific field (math, physics, computer science, chemistry, even economics!) is away from natural language and towards formal language, even before computers, precisely for that reason.
We have lots of formal languages (general-purpose programming languages, logical languages like Prolog/Datalog/SQL, "regular" expressions, configuration languages, all kinds of DSLs...) because we have lots of problems, and we choose the representation of the problem that most suits our needs.
Unless you are assuming you have some kind of superintelligence that can automagically take care of everything you throw at it, natural language breaks down when your problem becomes wide enough or deep enough. In a way this is like people making Rube-Goldberg contraptions with Excel. 50% of my job is cleaning up that stuff.