> What do you think is going to replace calculus? Until something better comes along, calculus is among the best introduction to higher theories of mathematics.

> What do you think is going to replace calculus? Until something better comes along, calculus is among the best introduction to higher theories of mathematics. > Programming and development will be transformed to use LLMs as the tools that they are. Anyone who doesn't adapt to using an LLM will end up being a loser in their industry or be required to retrain to another role [...] Mathematics will be transformed to use LLMs as the tools that they are. Any mathematician who doesn't adapt to using an LLM will end up being a loser in academia or be required to retrain to another role. The study of calculus will be replaced by tooling that carries out the mechanics of differentiation, integration, finding extrema, etc, making such education obsolete. > You could manually do a lot of things that a CNC mill can do. Or you can learn how to use a CNC mill. Or you could pay someone else to use their CNC mill. But a CNC mill is not a great thing to use for cutting raw lumber or assembling furniture. You "could" use a CNC mill for it, but it'd be extremely inefficient. You could use it to manufacture furniter pieces, but it's not going to assemble them. LLMs are kind've the same thing for computers. You could manually do a lot of things that a calculator, CAS, or LLM can do. Or you can learn how to use a CAS system or LLM, or pay someone to use their cloud service. But an LLM is not a great thing to use for deciding research programs or assembling a proof. You could use an LLM for it, but it'd be extremely inefficient. You could use it to formalize certain lemmata or minor results, but it's not going to compose them together into a larger theorem. > Could LLMs replace programmers? Definitely, right now. Could LLMs replace developers? Currently, it could replace some of the worst developers, and help but not replace some of the better developers. Could it replace engineers? Definitely not right now, and probably not for the next several decades. Could LLMs replace arithmeticians or calculators (in the original sense of the word, as a human occupation)? Definitely, right now. Could it replace mathematicians? Definitely not right now, and probably not for the next several decades. You distinguish between Software Engineers(tm) and lowly developers; I point out that you can draw the same distinction between mathematicians and lowly arithmeticians or "calculators" (in the original sense of the term as a human occupation), or between calculus and analysis. Leave the solution of this particular integral or the differentiation of this particular function, the mechanics of calculus, to the LLMs and the machines. Mathematicians need not concern themselves with such trivialities, and will prove results for all continuous functions in arbitrary metric spaces, or something similarly general and insightful.