At this point someone usually interjects "But all information comes to us through our senses therefore all information is empirical". That may be true, but the way we process that information isn't always empirical. Intuition can give true and justified results ...
Or not. And unless and until you check it out against the evidence, how can you know which?
Intuition can't tell you whether a given idea is true or not, but if used properly, it does tell you whether that idea is reasonable or not.
Which would be great if the world conformed to our ideas of what is "reasonable". If science has taught us one thing, it's that it doesn't. To use your "intuition" to decide what's "reasonable" and then
not put it to the test of experience is the quickest and surest way to close your mind.