I am a bit confused. Why would this process need to be continually re-done? Once you have generated all the hashes of numbers less than 256 bits long, then you instantly (up to the speed of accessing the database entry) know a short preimage for every hash value.
That's not the idea. The computational problem is simply a proof of work--you create a specific, verifiable string, with a changeable component greater than 256 bits, then hash that string using incrementing values until you find a SHAsum less than a certain value. Knowing a random, short preimage for each possible hash doesn't help you there, because those will not allow you to create a verifiable string with the correct hash.
There's a whole cottage industry arguing over whether Zinn did solve it the way the T-Rex did or not. Although speaking as someone who agrees with some but not most of Zinn's politics, he did in some ways do a decent job focusing on areas of history that had not gotten a lot of attention due to ideological issues.
There is some value in criticizing that which has been improperly popularly lionized, but this introduces its own skew. Zinn managed to truly piss me off because in his chapter on WWII he either did not mention or mentioned only in passing the rape of Nanking and similar Japanese atrocities, spent a few paragraphs on the Holocaust, surprisingly didn't particularly mention the firebombings of Dresden or Tokyo, but harped for several pages on the atomic bombs. Perhaps they needed examination, but incessantly and loudly examining them at the expense of everything else leaves the reader with a distinct impression of Zinn's own political beliefs.
I think this might be behind much of (American) conservatives' anger with liberals in the foreign policy domain, as exemplified by the insult "blame-America-first". Liberals are questioning America's policies, which is well and good, while leaving it as read that the actions of their adversaries (since the dynamic evolved, usually USSR or terrorists) are much worse. Conservatives see that apparent bias and gain the impression that all liberals hate America in particular. The situation is not improved by much political mind-death on all sides. This is probably going off on a bit of a tangent, but it's at least marginally relevant.
Do you have specific examples in mind?
The whole "science is settled" debacle in climate change? I'm not going to take a position on it, but it certainly seems to have become about that particular theory rather than the scientific method.
Bella's law regarding no non-consensual turning of mates seems like it would be hard to enforce. If a vampire finds their mate and bites them before the Golden Empire can interfere, then even if the Empire finds out before the turning is finished, there's no real way to prove that it was nonconsensual. The mate will be incoherent during the turning process, and after turning will a. have fuzzy memories of right before the turning, and b. be more than willing to lie on behalf of their own mate. The only real way around this is for the Empire to isolate the mate during turning, perhaps applying Alec in order to help them, and then quiz them before they see their mate. However, it also seems that this could be gotten around by simply making sure that the turning is finished before the Empire finds them. It is mentioned that Alice's weekly check for eye color might find the turning, but I should imagine that turning through a syringe should not affect eye color. How might this be enforced?
They are playing a slightly relaxed version where one may choose to put one's captured cards on top of or under one's deck.
Ah. Okay, I get it now.
Now I want to hear more about this nontrivial skill component to War. Unless it's skill at cheating, I really can't imagine what it might be.
The thought process would probably go something like, "I attacked the Empress, and the next thing I knew I was scattered across the ground in bits the size of Tic-Tacs. I don't think I'll try that again."
That implies something very interesting about Allirea's power. The usual criterion for the spreading of umbrella-type effects attached to persons is that events that are heavily influenced by the person are under the umbrella, apparently, and I'm going to assume that that applies to Allirea's fading as well. This means that Allirea can trick someone into thinking that something vitally important to their survival is simply unimportant--that the fact that someone is currently reducing them to gravel is not worth remembering. Wow.
I haven't decided. I'm not planning for the story to go on that long. However, my first-pass approximation at an answer is that the wolf would be like a quarter-vampire in "human form", and like a slightly souped-up wolf in wolf form. I don't think I said anywhere that a quarter-vampire could be venomous, and if I did, I retract it: the quarter-vamp wolf would not be venomous regardless of gender. However, the quarter-vamp wolf would be better able to recover from venom-related injuries than standard-issue wolves.
Hm. Would a quarter-vamp non-wolf be venomous or immortal? (Presumably a quarter-vamp wolf would be just as immortal as a wolf; would they also be immortal if they quit their wolves?)
While Allirea makes a very effective bodyguard in the combat sense, she is less helpful in the intimidation sense because, of course, no one can remember that she's there. What would happen if a vampire who had a reasonable expectation to win against Bella alone, and was not talked by Elspeth into believing that he could not win a fight, attacked Bella and was taken apart by her and Allirea? Would he know what was happening? What would his relevant memories suggest? Would said memories become clear while Allirea was unfaded? Is this a valid method to control the vampire population? (It might actually be quite effective--anyone who attacks Bella is taken apart by something they can't remember happening. Great creepy factor.)
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They can interview the turning mate about whether they got permission or not, with Edward or Maggie or an adequately equipped Addy present.
I'm not sure what you mean about turning through a syringe and eye color. Newborns universally have bright red eyes, unaffected by diet until a couple months in (animal blood) or a year in (human blood). What Alice might notice is, when she's checking on Turner, that Turnee is physically nearby.
True. Okay. I forgot that they have perfect supernatural lie detection available.
This seems like a remarkably harsh rule, since the dynamics of the mate bond with a human provide sufficient incentive to turn the mate without permission--whether permission would have been granted or not--that many people will do it, and it seems likely that a large number of them will successfully finish the turning and bond to their mate, necessitating large punishments for both the perpetrator and the victim of an act of which the victim was entirely innocent and which the victim is overwhelmingly likely to retroactively endorse. Leaving arguments of the morality of nonconsensual turning aside, a law that seems so likely to lead to the Empire carrying out so many morally questionable punishments seems suspect.