I always have to point out with this specific example that there is an underlying error that rules it out as being a logical impossibility (which is a reason given to refute claims against omnipotence), and rules it out as being a limitation of omnipotence.
If we consider the premise:
p = Make a rock too heavy to be picked up
The first barrier that would be encountered is that no matter what material the rock is made with (even if we allow for hypothetical alloys, etc.), the material strength of the rock would at some point be overcome by the gravitational force once it gets heavy enough.
Let’s say that as “omnipotence” would demand, cohesion should be sidestepped in some way. The material for the rock does not break down because this would be a physical constraint, not a logical constraint, so logically, one can conceive of a rock that defies cohesion limits - it doesn’t collapse into a black hole, etc.
So now we have our “heaviest rock”
The next barrier is a logical one. What does it mean to “pick up” or “lift” something?
We can comprehend taking hold of an object and elevating it, but if we consider the full extent of that action, it involves a person standing on Earth (or an equivalent object) and lifting/picking up another object.
If we consider for example that the “heaviest” object in our vicinity is the planet Earth itself, aside from the obvious constraints we humans would have lifting the planet due to its weight, if one were to put their hands on the earth and try to “lift” or “pick it up”, they would just be pushing themselves away from the Earth - i.e., a handstand or similar.
Therein lies the logical constraint - even if we imagine a being standing on another planet with a greater gravitational mass that would allow them to then lift a rock with the mass of Earth (and again, overriding the physical constraints with the tidal forces tearing both objects apart), they’re still only lifting the second heaviest object/rock while standing on the heaviest.
Logically, the heaviest “rock” is the one you stand on while lifting something less heavy. You make the one to lift/pick up heavier and you’re no longer lifting it, you’re lifting the thing you were standing on with your feet.
As for time travel generally (or specifically travelling back in time, as technically we’re all travelling through time in a forward direction
), I don’t see it as possible for the same reasons you give - any number of paradoxes occur when a future action invalidates a necessary dependency of that future, preventing that future from existing to effect the action that eliminated it.
My view of time is that everything happened at once, however one views space-time and its origins, the first moments of the universe and the last (meaningful) change in the universe exist concurrently - we humans - comprehending existence as a linear passage of time are merely experiencing that reality moment by moment.
At any point in the past where we exist, we exist in the perspective of that moment, considering the present a future yet to be, with choices yet made. There is no reason to consider that the future is any different, merely the present from another perspective, or the past from another perspective still.
We exist in each moment our existence spans, and we contribute to change/time in each moment, with the knowledge available to us in those moments being a summation of knowledge gained in past moments.
We can’t travel back in time because all moments have already happened, there was never a “moment” when they were “happening”, that’s simply how we experience it, so we can’t return to a happening or a “happened” - all moments are complete, locked from “change”, as they are permanent/static.
It’s like a stack of photos - time doesn’t exist in the “photos”, but is the act of flipping from one to the next.
Time travel into the past isn’t possible because there’s no “past” time, there is only the differences (change) between the static “snapshot” moments - it’s a metaphysical error (within the logical model of eternalism at least, it seems).
At least that’s my view on it (not a truth claim
)