It's not circular reasoning: it's a conclusion based on observation. Several groups tried to solve each problem. All of the groups that tried to solve problem A have thus far failed (although some have made measurable progress) while some of the groups that tried to solve problem B succeeded despite having considerably less resources at their disposal. "Hard to solve" can be a somewhat difficult label to define, but those results are a strong indicator that problem A is harder to solve.
By your logic, every "impossible" problem could be solved easily if just DARPA would offer a small prize to whoever solves it. Unfortunately, the real world doesn't work that way. There's a reason why DARPA chooses the tasks they do for their challenges: they spend a lot of time and effort identifying tasks that are highly likely to be amenable to novel solutions.
>Airplanes can change speed drastically, which is at high speeds about as effective as stopping.
Incorrect, on two counts. First, not all airplanes can change speed "drastically." Second, it is not as effective at preventing a collision as stopping. If both cars in an impending collision stop (and in many cases, even if only one of them stops), a collision becomes impossible. On the other hand, there are a lot of situations where deceleration merely delays, but does not prevent collision. That has value, but it's not as good.
>And no, you don't get to say collisions are hard to avoid because 3 dimensions are hard to calculate, making that not a solution.
I never said it was "not a solution," but I definitely do get to say that it's a much harder problem to solve. Here's the steps you have to perform to avoid a collision:
1: Detect an object.
2: Track the object to determine it's course and speed.
3: Compare the object's course and speed to yours to determine how likely a collision is.
4: If the probability of a collision is unacceptably high, determine a change of course and/or speed which will reduce the probability of collision to an acceptable level. If the probability of collision is already acceptably low, return to step 2.
5: Maneuver to change course and speed accordingly, then return to step 2.
If you are moving in three dimensions and the objects with which you might collide are moving in three dimensions, step 2 is hard to do accurately. (Unless you've studied radar tracking, you probably don't appreciate exactly how hard, but if you're genuinely interested, Skolnik's Radar Handbook is a good place to start.) The less accurate you are at step 2, the harder steps 3, 4, and 5 become, because you have to deal with more uncertainty. Is that really where the other object is? Is that really where it will be in twenty seconds? How certain are you of that? How certain are you that there really is something even there at all? If you're wrong in one direction, you'll have a midair; if you're wrong in the other direction, you'll perform some extreme maneuver for absolutely no good reason.
By your logic, every "impossible" problem could be solved easily if just DARPA would offer a small prize to whoever solves it. Unfortunately, the real world doesn't work that way. There's a reason why DARPA chooses the tasks they do for their challenges: they spend a lot of time and effort identifying tasks that are highly likely to be amenable to novel solutions.
>Airplanes can change speed drastically, which is at high speeds about as effective as stopping.
Incorrect, on two counts. First, not all airplanes can change speed "drastically." Second, it is not as effective at preventing a collision as stopping. If both cars in an impending collision stop (and in many cases, even if only one of them stops), a collision becomes impossible. On the other hand, there are a lot of situations where deceleration merely delays, but does not prevent collision. That has value, but it's not as good.
>And no, you don't get to say collisions are hard to avoid because 3 dimensions are hard to calculate, making that not a solution.
I never said it was "not a solution," but I definitely do get to say that it's a much harder problem to solve. Here's the steps you have to perform to avoid a collision:
1: Detect an object.
2: Track the object to determine it's course and speed.
3: Compare the object's course and speed to yours to determine how likely a collision is.
4: If the probability of a collision is unacceptably high, determine a change of course and/or speed which will reduce the probability of collision to an acceptable level. If the probability of collision is already acceptably low, return to step 2.
5: Maneuver to change course and speed accordingly, then return to step 2.
If you are moving in three dimensions and the objects with which you might collide are moving in three dimensions, step 2 is hard to do accurately. (Unless you've studied radar tracking, you probably don't appreciate exactly how hard, but if you're genuinely interested, Skolnik's Radar Handbook is a good place to start.) The less accurate you are at step 2, the harder steps 3, 4, and 5 become, because you have to deal with more uncertainty. Is that really where the other object is? Is that really where it will be in twenty seconds? How certain are you of that? How certain are you that there really is something even there at all? If you're wrong in one direction, you'll have a midair; if you're wrong in the other direction, you'll perform some extreme maneuver for absolutely no good reason.