I'm only part 256 but I've got bunch of thoughts to dump. Sorry if they don't make sense as of the latest chapter.
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I expect Diversitarian science will be much more Bayesian than our more Frequentist-style scientific method, as relying on subjective priors is very pro-diversitarian while still allowing science to get on with sciencing.
No theory would become scientific fact, every nation would just have different odds on various hypotheses. While every nation might agree relativity is the most probable theory of gravity they could still be diverse by splitting difference on the current prior being 93% or 99.995%. Even Russel's Teapot would have a state mandated prior probability to be updated as observational evidence comes in.
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Quantum Physics will be very fun. I expect that each Diversitarian nation will try to have its own interpretation of quantum mechanics that it's most confident in. With some even integrating it into national policy. I mean who could object to the death penalty when the state-mandated interpretation of quantum mechanics says subjective death is impossible due to
quantum immortality. Botched execution? Nope, this is just the 1 in 1000 timeline where the criminal survived.
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I'm very interested to see how the education system differs in LTTW. I'm not seeing a lot of indications of a starkly different system from this educational material, but the ideas for our primary-secondary-tertiary factory style education system originate around the point of divergence so I could see a plenty distinct system evolving. Given
modern research showing that education focused on Mastery learning with Collaborative learning and Peer tutoring is cheap and effective, our current model of lecturing to fixed progress targets could easily be an alien way of doing things in another timeline.
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I think the Combine could be fairly utopian in terms of poverty if its guaranteed housing and income based on land value tax holds up.
I also expect that advertising will be strictly controlled in the Combine since marketing campaigns can be very effective. So its a utopia for diehard ad-blockers.
Also I wouldn't be surprised if there's a soft version of Societism with all those benefits without the authoritarianism that's all about using economic sanctions and incentives to nudge people away from nationalism and towards panhumanism. Especially after the collapse of the Combine. Paying people to move areas to make them bigger melting pots, giving bigger tax breaks to cross-national marriages, state funding for panhumanist art and media, free tuition for students who schools internationally, more open borders, etc. Though I suspect this is the Californian model of Societism, even if it is Garderista.
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Also I might have commented this before, but
the method used to select the Venetian Doges seems like a good inspiration for selecting Societist nobility, since it remained fairly uncorrupted for a timescale longer that the Combine is expected to exist for.
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Something I wonder about with Photel. Could the Combine drown out other Radio broadcasts across the world with sufficiently powerful transmitters? I doubt the Combine will have any respect for nationally assigned frequency bands.