Now I'm forced to think about it much more carefully. I don't believe that current LLMs can find every possible proof on their own from now on. I also agree that the PR returns have fully diminished. Given how hard it's been in recent years to fund e.g. a poorly paid postdoc, I doubt there's a ton of money lying around for getting the best models to work on mathematics problems. I think there's a chance we're heading into a really good era. I was able to make so much progress back when Google search was a useful research tool...

To put it another way, the constants inside a big-O are not really constant: they depend on what you assume is a constant-time operation.

Maybe there already is! But last I checked it was a little bit of a mess of manually installing things from multiple websites with little documentation.

I mean putting a line on your pay slip called "lvt contribution" and then state the pre-lvtc salary in job descriptions and stuff like that.

Similarly with vat and related taxes. The incentive in both cases being to signal: here's what we would pay/charge if it weren't for the government. Which is presumably the current incentive to state before tax salary/cost (this assumption could well be totally wrong).

And anyway a mathematician's lifetime salary is basically nothing. I think total worldwide mathematics budget is less than a tenth of a percent of GDP. Meanwhile, openai cumulative loss stands at tens of billions?