> If someone unskilled at math brings a calculator to an international math competition, they will not succeed at solving many problems.
> But if they bring a frontier LLM (and succeed at concealing it from the organizers), they can walk away with a gold medal.
Of course you could win all kinds of math competitions with a concealed calculator. Maybe you'd need a fancy one, like a little SBC running Python. Anything complex and timed would be easy to win. You'd look like a genius to anyone who didn't know you had it.
> Such a feat requires intelligence... and if the contestant didn't provide the intelligence himself/herself, where'd it come from?
From computer software running on computer hardware, just like a calculator.
Calculating trillions of digits of pi also requires intelligence far beyond human capacity.
Computers displaying intelligence doesn't imply human-like intelligence. This is the source of confusion.
The idea that a calculator, or a calculator with Python, or even a calculator with a proof assistant (and every book ever written on math) would help a random person at e.g. IMO or Putnam is fairly revealing.
> But if they bring a frontier LLM (and succeed at concealing it from the organizers), they can walk away with a gold medal.
Of course you could win all kinds of math competitions with a concealed calculator. Maybe you'd need a fancy one, like a little SBC running Python. Anything complex and timed would be easy to win. You'd look like a genius to anyone who didn't know you had it.
> Such a feat requires intelligence... and if the contestant didn't provide the intelligence himself/herself, where'd it come from?
From computer software running on computer hardware, just like a calculator.
Calculating trillions of digits of pi also requires intelligence far beyond human capacity.
Computers displaying intelligence doesn't imply human-like intelligence. This is the source of confusion.