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So I would like to know how it found the proof. Because it’s much more likely to have been plucked from an obscure record where the author didn’t realize this was special than to have been estimated on the fly.

This makes LLMs incredibly powerful research tools, which can create the illusion of emergent capabilities.

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Here's the PDF: https://www-cs-faculty.stanford.edu/~knuth/papers/claude-cyc...

It wasn't Knuth who used Claude, but his friend. Nevertheless, Knuth was quite impressed.

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> as the space is already well covered

The US patent commissioner in 1899 wanted to shutdown the patent office because "everything that can be invented has been invented." And yet, human ingenuity keeps proving otherwise.

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There are lots of small innovations left. Only a few patents have ever been for revolutions. Small innovaions add up to big things.
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This is apocraphyl :(
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You could probably do it in a few days, C is not that hard to compile
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Claude built an optimizer as well. (Not a great one) that takes a lot more. Yes I could lively brute force a C compiler that works much faster.
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Right, and that was a design goal of C language... to be close to the machine.
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Yes, and I was responding to

> it would take a few years at least

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