But the point is that you can solve these problems, just that it takes significantly longer to solve them than it does to check the answer once you have it.
So you decide to do a brute force calculation on a computer for three days, write down the answer and tell her (a la kavitra's comment) then she sees the answer on the paper in the future and you change your mind and just check the answer.
Because Alice sees without the prediction, there's no need to have a stable causal loop like pengvado discusses.
In the vein of the Harry Potter and the Methods of Rationality discussion threads this is the place to discuss anything relating to Alicorn's Twilight fanfic Luminosity. The fanfic is also archived on Alicorn's own website <strike>(warning: white text on black background)</strike>.
Previous discussion is hidden so deeply within the first Methods of Rationality thread that it's difficult to find even if you already know it exists.
Similar to how Eliezer's fanfic popularizes material from his sequences Alicorn is using the insights from her Luminosity sequence.
Spoilers for the fanfic itself as well as the original novels need and should not be hidden, but spoiler protection still applies for any other works of fiction, except for Harry Potter and the Methods of Rationality chapters more than a week old so we can freely discuss similarities and differences.
EDIT: Post-ginormous-spoiler discussion should go to the second thread. (If you have any doubt on whether you have reached the spoiler in question you have not.)