Is the number of possible kittens bounded? That’s the point I was missing earlier.
If the number of kittens is bounded by M, your maximum utility u_max is bounded by M times the constant utility of a kitten (M * u_kitten). Therefore u_kitten is bounded by 1/M.
In future, consider expressing these arguments in terms of ponies. Why make a point using hypothetical utility functions, when you can make the same point by talking about what we really value?
Is the number of possible kittens bounded? That’s the point I was missing earlier.
If the number of kittens is bounded by M, your maximum utility u_max is bounded by M times the constant utility of a kitten (M * u_kitten). Therefore u_kitten is bounded by 1/M.
In future, consider expressing these arguments in terms of ponies. Why make a point using hypothetical utility functions, when you can make the same point by talking about what we really value?