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Cake day: July 9th, 2023

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  • I reckon we can get a lot closer than an LLM in time. For one thing, the mind has particular understanding of interim steps whereas, as I understand it, the LLM has no real concept of meaning between the inputs and the output. Some of this interim is, I think, an important part of how we assess truthfulness of generated ideas before we put them into words.















  • There’s an old joke about two mathematicians in a cafe. They’re arguing about whether ordinary people understand basic mathematics. The first mathematician says yes, of course they do! And the second disagrees.

    The second mathematician goes to the toilet, and the first calls over their blonde waitress. He says to her, "in a minute my friend is going to come back from the toilet, and I’m going to ask you a question. I want you to reply, “one third x cubed.'”

    “One ther desque,” she repeats.

    “One third x cubed,” the mathematician tries again.

    “One thir dek scubed.”

    “That’ll do,” he says, and she heads off. The second mathematician returns from the toilet and the first lays him a challenge. “I’ll prove it. I’ll call over that blonde waitress and ask her a simple integration question, and see if she can answer.” The second mathematician agrees, and they call her over.

    “My friend and I have a question,” the first mathematician asks the waitress. “Do you know what is the integral of x squared?”

    “One thir dek scubed,” she answers and the second mathematician is impressed and concedes the point.

    And as she walks away, the waitress calls over her shoulder,

    “Plus a constant.”