My 1,300 cm3 is capable of understanding the function f(x) = 3x, which is unbounded, therefore finite physical size does not prevent the brain from dealing with unbounded functions.
In general, a finite machine can easily deal with unbounded numbers simply by taking unbounded amounts of time to do so. This is not as much of a problem as it may sound, since there will intevitably be an upper bound to the utilities involved in all dilemma’s I actually encounter (unless my lifespan is infinite) but not the utilities I could, in theory, compute.
This is an augmented human, with a strap-on memory source bigger than the size of the planet? I thought we were probably talking about an ordinary human being—not some abstract sci-fi human that will never actually exist.
Who said anything about an augmented human, my comment was written in the first person except for one sentence, and I certainly don’t have a strap-on memory source bigger than a planet, but despite this I’m still pretty confident that I have an unbounded utility function.
My 1,300 cm3 is capable of understanding the function f(x) = 3x, which is unbounded, therefore finite physical size does not prevent the brain from dealing with unbounded functions.
In general, a finite machine can easily deal with unbounded numbers simply by taking unbounded amounts of time to do so. This is not as much of a problem as it may sound, since there will intevitably be an upper bound to the utilities involved in all dilemma’s I actually encounter (unless my lifespan is infinite) but not the utilities I could, in theory, compute.
This is an augmented human, with a strap-on memory source bigger than the size of the planet? I thought we were probably talking about an ordinary human being—not some abstract sci-fi human that will never actually exist.
Who said anything about an augmented human, my comment was written in the first person except for one sentence, and I certainly don’t have a strap-on memory source bigger than a planet, but despite this I’m still pretty confident that I have an unbounded utility function.