Virgil Șerbănuță edited untitled.tex  over 8 years ago

Commit id: afd1e5d15ad78d49e67d40ab478019c58cf1fd4d

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Not being able to model the entire universe precisely is not that bad if we can at least have an approximation of most of the universe. Let us see how much we can approximate.  Let us say that \definitie{predicting things with a precision relative error  $\epsilon$} means that when predicting that something is of size $l$, then the actual size is in the range $(l(1-\epsilon), l(1+\epsilon))$. One could give a similar definition by using a statistical distribution that depends on the size $l$ and the precision $\epsilon$ instead of just using an interval. [TODO: Do I need this definition?] [TODO: I should use precision and accuracy as defined in the standard way e.g. here: https://en.wikipedia.org/wiki/Accuracy_and_precision] Given a time length $s$, we say that something \definitie{happens rarely} if in any given unit volume of space the time between two occurrences of that something is at least $s$. One could give similar definitions based on the probability of an intelligent being observing that something.