Just as intuition comes from a place beyond our conscious mind, so does logic.
But here on Earth, we have made ourselves very familiar and extremely comfortable with false logic.
Believing that we are separate, isolated beings, and believing that this is a mechanical universe, false logic is the only thing we left ourselves access to.
False logic is incomplete logic. The logic you get when you do not know all of the factors.
And our conscious minds never know all of the factors.
So if we rely only on our conscious minds, the only thing we can get is false logic, which is not logic at all.
The same way that if we rely only on our conscious minds, we miss out on the beautiful, miraculous flow that is our intuition.