4 ms·
> By very definition, we will never be able to prove or disprove the claim. I don't think thats necessarily true. Here is a neat example: https://en.wikipedia.
by usgroup 6y ago
> By very definition, we will never be able to prove or disprove the claim.
I don't think thats necessarily true. Here is a neat example:
https://en.wikipedia.org/wiki/Weyl's_tile_argument https://en.wikipedia.org/wiki/Weyl's_tile_argument
To simulate continuous space and/or time would be impossible, so if you could show that space/time is continuous then it could not be simulated.
Its interesting because the implications are interesting. Or rather, the implications of most other things are less interesting.
- qsort 6y agoA continuous simulation of a finite collection of objects is absolutely possible (even computably so). In general, I don't find this breed of arguments convincing: even if you found a feature X of the universe which simulation isn't computably possible, you could imagine a Turing machine augmented with an oracle that makes use of X to simulate the effects of X itself. It's really unclear how you can turn "we live in a simulation" into a testable prediction.
- lupire 6y agoWe'll never be able to prove the Universe is continuous (and non-discrete, which is the case that matters).