this is for holding javascript data
Virgil Șerbănuță edited untitled.tex
over 8 years ago
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\end{enumerate}
\item For any sentence $S$ which is true in a countable set of universe descriptions and any probability distribution which is not heavily biased (i.e. any continous probability distribution) the probability of $S$ is zero.
\begin{enumerate}
\item Given such a probability distribution over
$T$, $\cal T$, let $\cal T_0$ be the set of all descriptions in $\cal T$ in which there a true sentence $S$ of probability zero. Then the probability of $\cal T_0$ is zero. Note that the sentence is not of the type mentioned above.
\item There set of finite descriptions is countable, so the property "Has a finite description" has a probability 0 in $T$. [TODO: This construction should also work when the descriptions are not disjoint, but they allow full predictions of events in their universes].
\end{enumerate}
\item An intelligent being inside an universe $U$ with an infinite description $D$ in $\cal T$, trying to find a description of $U$ can notice that the universe description becomes more and more complex with each observation, making an infinite description likely.
[TODO: This in unnatural. As defined here, the universe description becomes more complex only inside $\cal T$. The universe description must allow full predictions.]
\end{enumerate}
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