RogerS comments on Removing Bias From the Definition of Reductionism - Less Wrong
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Comments (48)
I'm not clear what you are meaning by "spatial slice". That sounds like all of space at a particular moment in time. In speaking of a space-time region I am speaking of a small amount of space (e.g. that occupied by one file on a hard drive) at a particular moment in time.
Your can prove conservation of information over small space times volumes without positing information as an ontological extra ingredient. You will also get false positives over larger space time volumes.