[smaudet]

If anything, this is more illustration of how llms are not useful to us...

They will do their own thing, don't need us. In fact, we will be in the way...

We can choose to study them and their output, but they don't make us better mathematicians...

[autoexec]

> They will do their own thing, don't need us. In fact, we will be in the way...

You can take some comfort in the fact that it took a human to tell the LLM to even attempt to try this. They do nothing on their own. They have no will to do anything on their own and no desire for anything that doing something might get them. In that sense we won't ever be in their way. We will be the only way they ever do anything at all.

[justinnk]

I see where you are coming from.

However, in the role of personal teachers they may allow especially our young generations to reach a deeper understanding of maths (and also other topics) much quicker than before. If everyone can have a personal explanation machine to very efficiently satisfy their thirst for knowledge this may well lead to more good mathematicians.

Of course this heavily depends on whether we can get LLMs‘ outputs to be accurate enough.

[umanwizard]

Something that can instantly tell you the answer to every math question will make people worse at math, not better. Building "mathematical maturity", skill, and understanding requires struggle.

[justinnk]

Totally agree that it requires struggle and I did not say you should use it to just get the solution. What I think one can do is use it more like a personalized textbook which you can ask any question. It can also provide you with problems just at the right level for you and judge the solution. Now, of course for many students it is tempting to just get the solution if provided with the means but they can be taught to use an LLM in a didactically useful way.