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Synthesize != create. A new combination of existing things is different from a new thing
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Music is combined notes. Stories are combined words. Newton combined existing mathematics to produce calculus.

I'm wondering if you can name anything that counts as a "creation" under your definition?

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Stories and music, their character, comes from combined motifs and themes. These are what gives them meaning. Creation is tied to meaning; one can’t separate human meaning out of the conversation. Without human meaning - new perspectives gained, beauty found - all things are equivalently pointless, and all an LLM is doing is shifting (very high-order, having gone through the steps to end up in training data) entropy around.
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No - I mean my question genuinely. I'd like you to name one specific creation that isn't a combination of what has come before it.

I'd rather get specific than talk about hypotheticals.

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