Ten advances in mathematics and theoretical computer science

Re:Ten advances in mathematics and theoretical computer science by Valakas_ on Tuesday August 04, 2026 @01:56AM (#49164762)

I have news for you. All humans do is also filling gaps with combinations of known facts and results - in new ways. "Everything is a Remix" is a good watch on youtube that explains this. Picasso might look like he has an invented personal style, but his style is a combination of different little details he took from others and mixed in a new way. Mozart the same. No music artist could ever create music in a vacuum. Everyone, for every art and science, the same. I know many are trying to cling to the last hope of human specialness, that "thing" that AI can never get to.

It's a convex hull of information that is reflective and spans outside of itself and combines in a new way, when you shine two known rays of light together from the inside.

Now it gets better. AI can be orders of magnitude more creative than any human could ever hope for, because his convex hull of information is orders of magnitude larger, and the possibilities for new combinations are equally larger.

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Re:Ten advances in mathematics and theoretical computer science by corimaith on Tuesday August 04, 2026 @04:52AM (#49165932)

But do you have vision?

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Re:Ten advances in mathematics and theoretical computer science by MichaelMoser123 on Tuesday August 04, 2026 @05:21AM (#49166137)

> "Everything is a Remix" is a good watch on youtube that explains this

Not completely. Novelty used to be a major thing, when Humans did it. Another important criteria used to be if that new thing makes sense at all. Here the language model has a problem, as it doesn't have the means to evaluate this criteria.

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Re:Ten advances in mathematics and theoretical computer science by Kotlopou on Thursday August 06, 2026 @08:00PM (#49204309)

I've seen this "everything is a remix" idea thrown around a lot, and always want to ask... so how did anything get started? What was the first cave-dwelling carver of a bone flute remixing? What was Alan Turing remixing to come up with the Turing machine? Where did Proto-Indo-European language come from?

Maybe there's some sense of "remix" that covers all of that, but then that meaning is not the standard one, or maybe you would concede that this happened in the past, but isn't happening now, but then where's the cutoff, or maybe something else...?

In your analogy, I would love to see some elaboration on the "reflective and spans outside of itself" part -- geometry doesn't work that way, do you have a more intuitive metaphor, or ideally a mechanism, or even better, some examples?

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