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The point is the underlying domain (physical space, in the donkey parable) is continuous, and it needs to be partitioned into discrete values. The paper is abou
by ahelwer 7y ago
The point is the underlying domain (physical space, in the donkey parable) is continuous, and it needs to be partitioned into discrete values. The paper is about the impossibility of constructing a device which does this within a bounded amount of time.
The problem gets more difficult because you also have to worry about measurement resolution. Anyway, rest assured this problem is very resistant to any "what if you just..." solutions you can come up with.
- coldtea 7y ago>The point is the underlying domain (physical space, in the donkey parable) is continuous, and it needs to be partitioned into discrete values. I don't think that was part of Buridan's concept. The concept was simply the impossibility of choice between two same options -- the continuity of the domain didn't play any role (in fact the description focuses on the discreet binary choice alone). >Anyway, rest assured this problem is very resistant to any "what if you just..." solutions you can come up with. I'm sure, I don't propose a solution - just say that the problem is not about discreet/continuous.
- ahelwer 7y agoBuridan's original problem is used here as an analogy for the problem, not really the basis.