Intuition is one of the amazing ways the human mind manages to quickly process huge amounts of information. Even the most simple-minded among us has a brain which is capable of brilliant calculations that are actually pretty damn good at being right about things much of the time. When we need to judge height to see if we can safely jump down from somewhere, we can make the calculation almost immediately. We know not only if it is safe, but how the impact will feel and how much we need to brace ourselves to compensate. Think about the immediate calculations we do every second while riding a bike. All of this seems intuitive - that is, it comes to us without analytical thought.
Even more amazing is that the brain does all this while using relatively little energy and processing power. To achieve this it's had to come up with many shortcuts. In psychology/neurology these shortcuts are generally labeled as heuristics, biases and fallacies. But, with each shortcut comes the possibility of error. The more complicated the subject, the more information the brain is required to contemplate, the more shortcuts it has to use, and the more errors it makes. Riding a bike is relatively simple when you compare it to understanding the fundamentals of something like astrophysics. To ride a bike we need only to navigate the laws of physics, not understand them. The same shortcuts which allows us to easily navigate those laws also hinder us when we try to get to the understanding part. Even though understanding them requires analytical thinking, the brain tries to impose all its usual tricks, and so also imposes error. To compensate for this we need to look for something outside of the mind. We need an objective process which is designed to avoid or circumvent all the intuitive tendencies the brain wants to impose. Because these things are built into the very architecture of our thinking and how we process reality, we cannot escape them. Going outside of ourselves is the only viable option of error correction.
The process I am talking about of course is science, which is applied to objective phenomenon, and its twin, critical thinking, which is applied to subjective phenomenon. While these methods are not perfect, they are the best tools we have for understanding reality. The one thing they depend on most is that the process must be more important than the answers. We put our trust in the process and accept whatever answers it brings us, even if they seem counter-intuitive, because we know intuition is part of that clunky system which is meant to help us navigate reality, but not understand it.