Virgil Șerbănuță edited untitled.tex  over 8 years ago

Commit id: 45f259a9d24fe88bc64228c85499b3928af90fbf

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[TODO: Start rewriting from here.]  And there is a second distinction that we should make. Even if the universe is deterministic, one could have only a statistical model for it. [TODO: add the probability to the above reasoning.]  In a deterministic universe, knowing the laws of the universe and its full state we could, in theory, fully predict its future. But an universe does not have to be deterministic. In this case, we would search for the best set of laws for predicting the future state. Note that we could have an universe that seems non-deterministic for any finite set of laws but which has an infinite set of laws under which it is deterministic. Indeed, it seems that in a case in which we can easily observe the effects of some laws of the universe, we could probably infer a finite statistical law about it. In this case, the best set of laws would be the infinite one. [TODO: Think about finite statistics. Is it always true? Probably not, if the stats made in a day are completely different from stats made in another day. How frequent would it be? What does it mean?] [TODO: Give examples in which our main assumptions about the universe, i.e. homogeneity and isotropy, are broken. Are these finite properties, or zero-probability ones? They are not finite, but considering that we can combine any at most countable set of homogenous and isotropic universes with compatible times into another universe, then it's likely that they are zero-probability ones. We need intelligent beings to be able to live through these changes, but even then it looks like we can combine a lot of universes into one, suggesting that these properties are zero-probability for many reasonable probability distributions. TODO: Give examples on how to combine. Say in a clear way what do I mean by combining a lot of universes into one, making it obvious why the probability should be zero. We experience gravity differently at various times and places - tides, variation from one place to another on Earth, on the Moon, when falling, although the law that describes gravitation does not change. We could imagine an universe where the actual law changes.]