Gelsamel Epsilon said:
I don't see how a failure in engineering or engineering logic means we cannot describe randomness.
It's not a failure in engineering, it's a logical impossibility. Except for hardware failure, computers are 100% predictable - given the same initial conditions, they will always do the same thing. That is why they are useful.
I'm pretty sure randomness is just unpredictability, not something without a cause but just where the result is pure probability.
What you described above is pseudo-randomness, not true randomness. That is the kind of randomness that can, in fact, be generated by computer programs. It appears to be random but it is fully predictable, except it's very hard to predict due to the large number of variables.
True randomness would be something that cannot be predicted at all, even if you knew all the variables.
Isn't the chance of measuring an electron to be at a certain spot inside a certain radius of the nucleus just probability/chance? Obviously it's not without cause, but isn't that random?
I don't know if there is still a debate on whether quantum phenomena involve hidden variables. In any case, I think it's a silly debate because you can always postulate that our failure to predict is due to the existence of variables we cannot measure. (I think they got away with that hypothesis precisely because of that fact, but I'm not sure)
And how does the existence of a single situation of randomness suddendly make the universe incomprehensible?
I didn't say incomprehensible, I said "fundamentally mysterious". That is, the universe may not be predictable at fundamental levels, but it's obviously predictable on average. You cannot know which number you'll get when you throw two dice, but you can make a safe prediction that you'll get more 7's than any other combination.
If the universe is mysterious doesn't mean it's not predictable, and the fact that it is predictable does not mean it's not fundamentally incomprehensible. An intelligent observer will always find a way to perceive order even in a completely chaotic situation. But if there is true chaos the intelligente observer will, from time to time, be confounded by unpredicted observations.