Oh, that is very simple, indeed:

If we define “knowledge” as being the past, “logic” as being the way we interpret it, and “intuition” as being a projection of the future (think about a “simulation” of the future, an “anticipation”), then immediately we run into a contradiction, which is:

If intuition tells “warning, there will be a problem” and if we listen to that, we change something, therefore the problem won't occur (and intuition would have prevented it own accomplishment).

If intuition tells “ohhh that will be so good” when we were about to kiss someone or begin an important transformation like a career change for example, then this feeling might disrupt the fragile future to happen like foreseen, and in the worst case scenario it might even prevent it from happening at all.

The point here being: if you know the future for a fact, it will prevent it to happen like seen. And that, according to logic, will be a 100% failure to predict the future.

Therefore when you have a good intuition, it hurts your logic. That's why:

1. people with a bad logic tend to be more efficient on intuition, and
2. people with a strong logic tend to be less efficient on intuition.

The way to reconciliate logic and intuition is to tell logic to never evaluate intuition, because that evaluation can't be done, like a snake can't eat itself (even if it can eat anything else) and like consciousness can't evaluate itself (even if it can evaluate anything else).

Intuition is illogical… by design. Because intuition is specialized in parallel processing of parallel branches of possible futures (right brain), and

Logic is specialized in linear processing of linear branch of one and only past that we have (left brain).

(on a computer, the logic would the the CPU and intuition would be the GPU)

Thank you for asking the question!