The approach of the final authors mentioned on the page seems especially interesting to me. I also am interested to note that their result agrees with Jaynes’. Universability seems to be important to all the most productive approaches there.
Or arguing that the complexity ordereing is the one that produces the “true” probailities is reframing of the question whether the simplicity formulation is truth-indicative.
If the approach that says simplicity is truth-indicative is self-consistent, that’s at least something. I’m reminded of the LW sequence that talks about toxic vs healthy epistemic loops.
If I encounter a working hypothesis there is no need to search for a more simpler form of it.
This seems likely to encourage overfitted hypotheses. I guess the alternative would be wasting effort on searching for simplicity that doesn’t exist, though. Now I am confused again, although in a healthier and more abstract way than originally. I’m looking for where the problem in anti-simplicity arguments lies rather than taking them seriously, which is easier to live with.
Honestly, I’m starting to feel as though perhaps the easiest approach to disproving the author’s argument would be to deny his assertion that processes in Nature which are simple are relatively uncommon. From off the top of my head, argument one is replicators, argument two is that simpler processes are smaller and thus more of them fit into the universe than complex ones would, argument three is the universe seems to run on math (might be begging the question a bit, although I don’t think so, since it’s kinda amazing that anything more meta than perfect atomist replication can lead to valid inference—again the connection to universalizability surfaces), argument four is an attempt to undeniably avoid begging the question inspired by Descartes: if nothing else we have access to at least one form of Nature unfiltered by our perceptions of simplicity : the perceptions themselves, which via anthropic type induction arguments we should assume-more-than-not to be of more or less average representativeness. (Current epistemic status: playing with ideas very nonrigorously, wild and free.)
I think this is relevant: https://en.wikipedia.org/wiki/Bertrand_paradox_(probability)
The approach of the final authors mentioned on the page seems especially interesting to me. I also am interested to note that their result agrees with Jaynes’. Universability seems to be important to all the most productive approaches there.
If the approach that says simplicity is truth-indicative is self-consistent, that’s at least something. I’m reminded of the LW sequence that talks about toxic vs healthy epistemic loops.
This seems likely to encourage overfitted hypotheses. I guess the alternative would be wasting effort on searching for simplicity that doesn’t exist, though. Now I am confused again, although in a healthier and more abstract way than originally. I’m looking for where the problem in anti-simplicity arguments lies rather than taking them seriously, which is easier to live with.
Honestly, I’m starting to feel as though perhaps the easiest approach to disproving the author’s argument would be to deny his assertion that processes in Nature which are simple are relatively uncommon. From off the top of my head, argument one is replicators, argument two is that simpler processes are smaller and thus more of them fit into the universe than complex ones would, argument three is the universe seems to run on math (might be begging the question a bit, although I don’t think so, since it’s kinda amazing that anything more meta than perfect atomist replication can lead to valid inference—again the connection to universalizability surfaces), argument four is an attempt to undeniably avoid begging the question inspired by Descartes: if nothing else we have access to at least one form of Nature unfiltered by our perceptions of simplicity : the perceptions themselves, which via anthropic type induction arguments we should assume-more-than-not to be of more or less average representativeness. (Current epistemic status: playing with ideas very nonrigorously, wild and free.)