I’m glad that you identified these two postulates, but I am pretty certain that P1 does not hold in principle. In practice it probably holds most of the time, just because systems that are highly discontinuous almost everywhere are unlikely to be robust enough to function in any universe that has entropy.
Note that continuous physical systems can and frequently do have sharp phase transitions in behaviour from continuous changes in parameters. From a materialistic view of consciousness, those should correspond to sharp changes in mental states, which would refute P1.
I’m glad that you identified these two postulates, but I am pretty certain that P1 does not hold in principle. In practice it probably holds most of the time, just because systems that are highly discontinuous almost everywhere are unlikely to be robust enough to function in any universe that has entropy.
Note that continuous physical systems can and frequently do have sharp phase transitions in behaviour from continuous changes in parameters. From a materialistic view of consciousness, those should correspond to sharp changes in mental states, which would refute P1.
That’s a good point. I had a similar discussion with @benjamincosman, so I’ll just link my final thoughts: my comment