Thompson's Lamp

[Max_S]

@Half_Man_Half_Wit

@Half_Man_Half_Wit

More to the point, the series that determines the state of the lamp after two seconds is 1 - 1 + 1 - 1 + … The limit of this isn’t 0,5—it’s divergent, so it simply has no well-defined limit.

Although I suppose that’s only true if the state change is instantaneous, which might be what you meant. If it’s not, then at some point, we’d reach a situation where state changes could no longer be completed before the next switch happens. ‘0,5’ might then be a sensible answer if the ramp-up and ramp-down are symmetrical, although they probably wouldn’t be. But really, this is unrelated to the point I was making, which was [ed. note: continued in Lack of Freewill topic]

~originally posted by Half_Man_Half_Wit