Empirical science bases itself on what the fives senses can observe. The irony is, things like intuition are a natural extrapolation of the five senses. The analogy would be like observing the night sky with your eyes; empirical, versus using a telescope; intuition, with the telescope being taboo to the sensory purists.
The unconscious brain is capable of absorbing more data than the conscious mind is aware; subliminal data. It is also capable of processing higher data density. The bottleneck is the translation link between the unconscious and conscious processes. This link is not as reliable, in all people, compared to the sensory systems. The universal use of the sensory system data makes it more universally applicable.
When we read a final science paper or article, this is the result of a lot of work which includes following hunches and intuitions. However, before it can be published, it has to be compiled and presented in a way where you do not appear to use the telescope, even if this was part of the investigation. The exception is the statistical oracles, where you summon the gods of dice to act in the role of intuition. This happens outside you, making it more socially acceptable.