Thanks, that’s a helpful clarification about your view, Eli! There are certainly scenarios where multiples that large could happen for certain investments. My qualification of EV terms factors in my all-things-considered view of the uncertainties—chiefly catastrophic risks and policies that distribute resources in some way other than “whoever owned the most stock when the growth curves accelerated”. Especially because the anti-democratic political dynamics that would make that outcome more likely would also in my view badly worsen catastrophic risk overall.
As a further complication, the “S&P 500 stake → future galaxies” scenario seems to me to require an extremely fine-tuned Goldilocks level of power concentration: enough for our advanced spacefaring civilization to permanently lock billions of people out of meaningful shares in the future, but not so much that the people with even larger S&P 500 stakes at the Singularity can’t ever find a way to dispossess the people who cancelled their Italy trip and invested that $7,500 in Nvidia. I’d guess that even with maximal saving, most people reading this could only invest a 6-7 figure sum before AGI, which wouldn’t be a good counterweight to centibillionaires if democracy goes out the window.
I’m not suggesting you hold quite such a stark version of that view, but that dynamic at least illustrates roughly why I consider it highly unlikely that the difference between, say, $100,000 invested and $107,500 or even $300,000 invested at takeoff will have any measurable impact on what share of resources the average person or their descendants can someday control outside this solar system.
I don’t understand why you seem to assume here that an intelligence could confidently infer anything about the computing conditions in a universe that’s simulating it.
I do agree that our reality is vastly more self-consistent and complex than any faithful simulations we could make. I’m just challenging the claim that this lets us infer anything about the relationship between our reality and higher layers of hypothetical simulation.
I’m not clear on the logic underlying this example. Stock markets are affected by quantum-scale uncertainty bubbling up into macro-scale effects in domains like weather, war, and politics. Indeed, any real-world macro-scale system will be similarly affected. That level of noise would likely make it infeasible for a superintelligence to accurately judge its odds of being in a simulation from how its superintelligent actions affect the world.
Further, a superintelligence wouldn’t have a firm foundation for inferring how much computation anything it observes would take. Distant galaxies could be simulated more efficiently by a planetarium, and when it sends a probe into the firmament the simulators could send back bogus data.
And ultimately, the superintelligence could never be sure that it didn’t discover a smoking gun of the simulation 10 minutes ago, only for the simulators to swoop in Cartesian-evil-demon-style and edit its mind state to remove all trace of that.
I agree it could reason its way toward regarding simulation scenarios as very unlikely on Solomonoff induction grounds, but the fundamental limitations above strike me as preventing the number of nines of certainty that you suggest elsewhere in the post.