First of all, your control theory work was...not exactly what started me thinking along these lines, but what made it click when I realized the lines I had been thinking along were similar to the ones I had read about in one of your introductory posts about performing complex behaviors without representations. So thank you.
Second - When you say the robot has a "different goal", I'm not sure what you mean. What is the robot's goal? To follow the program detailed in the first paragraph?
Let's say Robot-1 genuinely has the goal to kill terrorists. If a hacker were to try to change its programming to "make automobiles" instead, Robot-1 would do anything it could to thwart the hacker; its goal is to kill terrorists, and letting a hacker change its goal would mean more terrorists get left alive. This sort of stability, in which the preference remains a preference regardless of context are characteristic of my definition of "goal".
This "blue-minimizing robot" won't display that kind of behavior. It doesn't thwart the person who places a color inversion lens on it (even though that thwarts its stated goal of "minimizing blue"), and it wouldn't try to take the color inversion lens off even if it had a manipulator arm. Even if you claim its goal is just to "follow its program", it wouldn't use its laser to stop someone walking up to it and changing its program, which means its program no longer got followed.
This isn't just a reduction of a goal to a program: predicting the robot's goal-based behavior and its program-based behavior give different results.
If goals reduce to a program like the robot's in any way, it's in the way that Einsteinian mechanics "reduce" to Newtonian mechanics - giving good results in most cases but being fundamentally different and making different predictions on border cases. Because there are other programs that goals do reduce to, like the previously mentioned Robot-1, I don't think it's appropriate to call what the blue-minimizer is doing a "goal".
If you still disagree, can you say exactly what goal you think the robot is pursuing, so I can examine your argument in more detail?
When you say the robot has a "different goal", I'm not sure what you mean. What is the robot's goal? To follow the program detailed in the first paragraph?
The robot's goal is not to follow its own program. The program is simply what the robot does. In the environment it is designed to operate in, what it does is destroy blue objects. In the vocabulary of control theory, the controlled variable is the number of blue objects, the reference value is zero, the difference between the two is the error, firing the laser is the action is takes when th...
Imagine a robot with a turret-mounted camera and laser. Each moment, it is programmed to move forward a certain distance and perform a sweep with its camera. As it sweeps, the robot continuously analyzes the average RGB value of the pixels in the camera image; if the blue component passes a certain threshold, the robot stops, fires its laser at the part of the world corresponding to the blue area in the camera image, and then continues on its way.
Watching the robot's behavior, we would conclude that this is a robot that destroys blue objects. Maybe it is a surgical robot that destroys cancer cells marked by a blue dye; maybe it was built by the Department of Homeland Security to fight a group of terrorists who wear blue uniforms. Whatever. The point is that we would analyze this robot in terms of its goals, and in those terms we would be tempted to call this robot a blue-minimizer: a machine that exists solely to reduce the amount of blue objects in the world.
Suppose the robot had human level intelligence in some side module, but no access to its own source code; that it could learn about itself only through observing its own actions. The robot might come to the same conclusions we did: that it is a blue-minimizer, set upon a holy quest to rid the world of the scourge of blue objects.
But now stick the robot in a room with a hologram projector. The hologram projector (which is itself gray) projects a hologram of a blue object five meters in front of it. The robot's camera detects the projector, but its RGB value is harmless and the robot does not fire. Then the robot's camera detects the blue hologram and zaps it. We arrange for the robot to enter this room several times, and each time it ignores the projector and zaps the hologram, without effect.
Here the robot is failing at its goal of being a blue-minimizer. The right way to reduce the amount of blue in the universe is to destroy the projector; instead its beams flit harmlessly through the hologram.
Again, give the robot human level intelligence. Teach it exactly what a hologram projector is and how it works. Now what happens? Exactly the same thing - the robot executes its code, which says to scan the room until its camera registers blue, then shoot its laser.
In fact, there are many ways to subvert this robot. What if we put a lens over its camera which inverts the image, so that white appears as black, red as green, blue as yellow, and so on? The robot will not shoot us with its laser to prevent such a violation (unless we happen to be wearing blue clothes when we approach) - its entire program was detailed in the first paragraph, and there's nothing about resisting lens alterations. Nor will the robot correct itself and shoot only at objects that appear yellow - its entire program was detailed in the first paragraph, and there's nothing about correcting its program for new lenses. The robot will continue to zap objects that register a blue RGB value; but now it'll be shooting at anything that is yellow.
The human-level intelligence version of the robot will notice its vision has been inverted. It will know it is shooting yellow objects. It will know it is failing at its original goal of blue-minimization. And maybe if it had previously decided it was on a holy quest to rid the world of blue, it will be deeply horrified and ashamed of its actions. It will wonder why it has suddenly started to deviate from this quest, and why it just can't work up the will to destroy blue objects anymore.
The robot goes to Quirinus Quirrell, who explains that robots don't really care about minimizing the color blue. They only care about status and power, and pretend to care about minimizing blue in order to impress potential allies.
The robot goes to Robin Hanson, who explains that there are really multiple agents within the robot. One of them wants to minimize the color blue, the other wants to minimize the color yellow. Maybe the two of them can make peace, and agree to minimize yellow one day and blue the next?
The robot goes to Anna Salamon, who explains that robots are not automatically strategic, and that if it wants to achieve its goal it will have to learn special techniques to keep focus on it.
I think all of these explanations hold part of the puzzle, but that the most fundamental explanation is that the mistake began as soon as we started calling it a "blue-minimizing robot". This is not because its utility function doesn't exactly correspond to blue-minimization: even if we try to assign it a ponderous function like "minimize the color represented as blue within your current visual system, except in the case of holograms" it will be a case of overfitting a curve. The robot is not maximizing or minimizing anything. It does exactly what it says in its program: find something that appears blue and shoot it with a laser. If its human handlers (or itself) want to interpret that as goal directed behavior, well, that's their problem.
It may be that the robot was created to achieve a specific goal. It may be that the Department of Homeland Security programmed it to attack blue-uniformed terrorists who had no access to hologram projectors or inversion lenses. But to assign the goal of "blue minimization" to the robot is a confusion of levels: this was a goal of the Department of Homeland Security, which became a lost purpose as soon as it was represented in the form of code.
The robot is a behavior-executor, not a utility-maximizer.
In the rest of this sequence, I want to expand upon this idea. I'll start by discussing some of the foundations of behaviorism, one of the earliest theories to treat people as behavior-executors. I'll go into some of the implications for the "easy problem" of consciousness and philosophy of mind. I'll very briefly discuss the philosophical debate around eliminativism and a few eliminativist schools. Then I'll go into why we feel like we have goals and preferences and what to do about them.