mjdv
Joined 3 years ago
Joined 3 years ago
If the state of physics was "stuff falls, heat sticks around, light goes fast" I think it'd be fair to describe that as "abysmal".
It is not: for example, the piece-wise constant function f: [0,1] -> [0,1] which starts at f(0) = 0, stays constant until suddenly f(1/2) = 1, until f(3/4) = 0, until f(7/8) = 1, etc. is Riemann integrable.
"Continuous almost everywhere" means that the set of its discontinuities has Lebesgue measure 0. Many infinite sets have Lebesgue measure 0, including all countable sets.
It's shocking to me that (as far as I know) no one has actually bothered to do a real Turing test with the best and newest LLMs. The Turing test is not whether a casual user can be momentarily confused about whether they are talking to a real person, or if a model can generate real-looking pieces of text. It's about a person seriously trying, for a fair amount of time, to distinguish between a chat they are having with another real person and an AI.
Q: Do you play chess? A: Yes. Q: I have K at my K1, and no other pieces. You have only K at K6 and R at R1. It is your move. What do you play? A: (After a pause of 15 seconds) R-R8 mate.
Why not? If they poll the same question (e.g. political party) repeatedly (e.g. in many elections) eventually you could build some kind of model of which parties poll-answerers are more likely to skew towards, or how much they shift compared to non-answerers. Not fundamentally a different process from other ways of removing bias from polls.