random (fun-to-me/not practical) observation: probability is not (necessarily) fundamental. we can imagine totally discrete mathematical worlds where it is possible for an entity inside it to observe the entirety of that world including itself. (let’s say it monopolizes the discrete world and makes everything but itself into 1s so it can be easily compressed and stored in its world model such that the compressed data of both itself and the world can fit inside of the world)
this entity would be able to ‘know’ (prove?) with certainty everything about that mathematical world, except it would remain uncertain whether it’s actually isolated (/simulated) inside some larger world. (possibly depending on what algorithms underly cognition), it might also have to be uncertain about whether its mind is being edited from the outside.
the world we are in may be disanalogous to that one in some way that makes probability actually-fundamental here, and in any case probability is necessary because this one is complex.
random (fun-to-me/not practical) observation: probability is not (necessarily) fundamental. we can imagine totally discrete mathematical worlds where it is possible for an entity inside it to observe the entirety of that world including itself. (let’s say it monopolizes the discrete world and makes everything but itself into
1
s so it can be easily compressed and stored in its world model such that the compressed data of both itself and the world can fit inside of the world)this entity would be able to ‘know’ (prove?) with certainty everything about that mathematical world, except it would remain uncertain whether it’s actually isolated (/simulated) inside some larger world. (possibly depending on what algorithms underly cognition), it might also have to be uncertain about whether its mind is being edited from the outside.
the world we are in may be disanalogous to that one in some way that makes probability actually-fundamental here, and in any case probability is necessary because this one is complex.