Marchal <[EMAIL PROTECTED]> writes: > So I think Thisell is right when he said <<the number of computations in the > Schmidhuber plenitude using an insanely high number of decimals is a lot > higher than the ones that use a specific measurable but life-permitting > precision>>.
This is true as stated, but I claim that the programs which implement the versions with insanely high decimal places are MUCH LARGER than those which implement smaller numbers of decimal places. Hence they have much lower measure and do not make a significant calculation. The reason, as I said, is that specifying the number of decimal places takes space, and specifying a very large number takes more space than specifying a small number. This is a corollary to the well known fact that most strings are not compressible: most large numbers cannot be expressed by small programs. > He is wrong when he suggest this is a trivial matter! > > Let us look on what happens precisely with the UD: The universal dovetailer creates all possible universes, using a very small program. By itself this does not tell you the relative measure of the various universes. So this line of argument does not seem to help in judging whether universes with high precision have lower measure than universes with low precision. Yes, there are more of the former, but they are of lower measure. Hal