We can’t measure things to arbitrary precision due to quantum mechanics, but Philosophy isn’t bound by the actual physical universe we inhabit. Arbitrary physical models allow for the possibility of infinite precision in measurement and calculation resulting in perfect prediction of future states forever. Alternatively, you could have a universe of finite precision (think Minecraft) which also allows for perfect calculation of all future states from initial starting concepts.
Not certain that philosophy is not bound by our universe - is that something you could elaborate (or lend a link) on?
To apply these hypotheticals to our universe implies (from my understanding) that the density of information present at any and all times since it's inception was present (while compressed) at it's creation/whatever - which I imagine I can find some proof of theoretical maximum information density and information compression compare that to the first state of the universe we can measure to have a better idea if it tracks.
I simply mean it’s happy to assume perfect information, perfect clones, etc. The trolly problem generally ignores the possibility that choosing a different track could with some probability result in derailment because the inherent question is simplified by design. We don’t need for the possibility of perfect cloning to exist to consider the ramifications of such etc.
I guess that's the point of any hypothetical, exploring a simplified model of something complex, but it's not easy to simplify the fabric of reality itself.
If there are non deterministic processes that can be proven to exist, and those interact with deterministic processes, doesn't it follow that the deterministic process becomes non deterministic (since the result of the interaction is necessarily non deterministic), and that it is not continually deterministic.
So - can you see how nothing can be deterministic other than in isolation (or thought experiment really)?
Edit0: typo