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Nb. This isn't about Lie theory.

Say what you will about Peter Thiel, he does have a sense of humor.

By analogy with stacks, my intuition is that Spec(N) still has a one-dimensional geometry, but with a (-1)-dimensional tier from quotienting out the prime points by a semiring acti…

Yep, you need category theory to express something as trivial as the definition of a monad.

Upvoted. USAID has been misused plenty: political meddling in Bangladesh, Cuba's ZunZuneo op, boomerang aid in Haiti, Afghan contractor enrichment, etc. I could go on. But understa…

To be fair, if we're living in a simulation, Jesus does feel a bit like a Chekhov's gun.

Imagine chess played on a board with opposite sides identified, like in the video game Asteroids. Does white have a winning strategy?

In the right dynamical framework, I bet I'm a strange autoregressor.

Lieven Le Bruyn is just in the habit of cataloguing how algebraic geometry culture shows up in unexpected places, eg. http://www.neverendingbooks.org/what-about-simone-weil/ . Surp…

FWIW, Achenbrenner discusses some of OpenAI's motivations here: https://youtu.be/zdbVtZIn9IM?si=F7evv4xfSjsS-Gob

It looks like we've hit a reply depth limit, which is maybe for the best, because I don't think we're making any progress here. > You did use tautologies... You seem to think calli…

You said I was using tautologies as straw men, which is incoherent and suggests you’re not arguing in good faith. Anyhow, of course entropy correlates to music quality; maximum ent…

Tautologies don't make for good strawmen, and network entropy doesn't need to identify the quality level of music on its own to be useful.

Of course network entropy provides useful information—- just maybe not the particular kind of depth you seem to be looking for. I’m also curious why you’re arguing with my tautolog…

Sorry for the cliché, but "the most exciting phrase to hear in science, the one that heralds the most discoveries, is not "Eureka!" (I found it!) but 'That's funny...'" --Asimov

My point is just that proving known facts can be useful and interesting. As for the paper, network entropy and node heterogeneity seem to be perfectly sensible statistical concepts…

You might be missing my point somewhat. :) First, the methods of the paper don’t have to be a Mendelssohn replacement to be useful. Second, if you don’t like that potential applica…

You might be missing the point somewhat. With these methods, you could eg. test the vast swaths of potentially overlooked composers to see if any of them merit closer listening.

A killer app for me would be proper Blender integration, say with VR viewports.

Also, error bars qua statistics can indicate problems with the underlying data and model, eg. if they're unrealistically narrow, symmetric etc.

Nb. Plato claims Solon found written records of 'Atlantis' on a visit to Egypt, around 600 BC. That seems consistent with the Santorini hypothesis and Egyptian historians.

FWIW, that one line is the parallel postulate.