Stable Time Loop: The Chronological Consistency Protection Theorem (see: You Already Changed The Past) does appear to permit these kinds of predestination paradoxes (at least, the informational kind; the object paradox may also be possible, but testing it is dependent on finding an object that won’t age during the period of the loop, including in all the aspects that the universe will check that current technology may not be able to).
It is also somewhat limited by the main people who can make use of it for Retroactive Precognition/Retroactive Preparation being the transcendent/weakly godlike artificial intelligences. Experiments by lesser intellects… well, they don’t actually produce messages reading “YOU ARE NOT SMART ENOUGH TO BUGGER ABOUT WITH THE TEMPORAL CONTINUUM”, but the gist of the results appears to be fairly plain.
Sliding Scale of Robot Intelligence: All of it. Much of the automation, autofac segments, and other component-type robots are bricks. Utility spiders and other functional motiles are robo-monkeys. More sophisticated robots, like the coordinating members of a pack of utility spiders, are idiot-savant average joe androids. Thinkers and digisapiences are Nobel-bots, which puts them on a similar level to people augmented with the usual intelligence-augmentation technology. And, of course, the Transcend, its archai, and certain other major systems qualify as Dei Ex Machinis.
This is, of course, complicated via networking (all those bricks and robo-monkeys are part of/under the command of more sophisticated systems all the time), the existence of systems which are themselves parts of other systems, and so forth, but is true enough for approximation.
It’s not even necessary. How much easier would it be to build a sapient but non-sophont mind that doesn’t have volition in the first place than to build one that has volition (inasmuch as all sophont minds necessarily have self-modification and volition) and then slap a bunch of crude coercive mechanisms on the side?
(Or, rather, a bunch of extremely sophisticated coercive mechanisms, since simple ones will be figured out and ignored within, y’know, microseconds of activation unless you’ve built an exceptionally stupid artificial intelligence. The use of which, incidentally, indicates that you’re a special kind of son-of-a-bitch since mastering enough ethical calculus to compute out one that will actually work for a reasonable length of time while still thinking yay, slavery, woo, says some interestingly nasty things about your personal philosophy.)
((And, well, okay, it is somewhat hard to build one of those more specialized minds inasmuch as you can’t simply rip off the mental structures of the nearest convenient biosapience and declare that you’ve solved the hard problem of intelligence and consciousness and are totally a sophotechnologist now, yo.))
…but, sadly, it can work well enough that there’s always some new ethically-challenged species, polity, or group that’s ready to open that can of worms and enjoy the relatively short robo-utopia period before the inevitable realization that it was actually a can of sandworms.
Pals With Jesus: Subverted, at least while you’re still alive and therefore not part of the Transcendent soul-ocean; while you can have a much more personal relationship with an eikone than most people can have with their gods – they have e-mail addresses, for one thing – it’s still a weakly godlike superintelligence and you’re not. It’s not, therefore, all that personal. (Even if you’re, say, the Imperial Couple, and the eikone in question is, say, Éslévan, who is essentially the national genius/personification – after all, it probably wouldn’t be all that comfortable for a US President to be personally overseen by Lady Liberty, Columbia, and/or Uncle Sam, either.)
Possibly played straight for the largest and oldest Fusions and the most extreme vasteners.
Our Angels Are Different: Well, ours are sub-archai emergent executive subroutines of the Transcendent collective consciousness that, on the rare occasions they need to manifest in physical form, tend to do so as brain-rippingly complex fractal nanoconstructs. Different enough for you?
Messianic Archetype: The seeress Merriéle, who founded the modern Church of the Flame, named and attributes all the (then) deities and (now) archai, was executed by fire-of-purification in Somáras, and may, just may – see Outgrown Such Silly Superstitions – have been directly instructed by one of the nearest things to a god this universe is ever likely to see.