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Cake day: 2023年5月31日

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  • From the article:

    For many years, we’ve had software that can generate lists of valid conclusions that can be drawn from a set of starting assumptions. Simple geometry problems can be solved by “brute force”: mechanically listing every possible fact that can be inferred from the given assumption, then listing every possible inference from those facts, and so on until you reach the desired conclusion.

    But this kind of brute-force search isn’t feasible for an IMO-level geometry problem because the search space is too large. Not only do harder problems require longer proofs, but sophisticated proofs often require the introduction of new elements to the initial figure—as with point D in the above proof. Once you allow for these kinds of “auxiliary points,” the space of possible proofs explodes and brute-force methods become impractical.

    So, mathematicians must develop an intuition about which proof steps will likely lead to a successful result. DeepMind’s breakthrough was to use a language model to provide the same kind of intuitive guidance to an automated search process.





  • !Stars don’t go from yellow to supernova in 22 minutes!<

    !I mean, the rules of physics and biology are in general being bent quite a bit by the game. Even just the existence of the Hearthians, a species that developed on a planet that’s tiny and harbors, what, like 30 individuals total? That just falls under stuff that doesn’t make sense in the real world, but I’m willing to accept in order to enjoy the game 🤷!<


  • Haven’t played the DLC either yet, not sure if that adds anything, but:

    [Spoilers for mid-game]

    !While you play, you’ll encounter clues that point towards the sun station being the reason for the sun dying, as it was built to make the sun go supernova and use the resulting energy to find the eye of the universe.!<

    [Spoilers for late- to endgame]

    !Later on, it turns out that the sun station is actually not the reason, as it just didn’t work as the Nomai planned. The sun is actually going supernova because the universe is dying as a whole, as you can actually see all around you, with loads of supernovae going off in the sky. Now sadly, there’s no explanation given for why that is happening much earlier than everyone expected, iirc. I guess that’s a final mystery that’s indeed left unanswered.!<