Secondly, I'm going to ask you 'how then can we reconcile these differences?'
Sorry for not getting back to you sooner. Sometimes you just have to ride round Sweden on a train. Which is odd, given I live in London.
I'm also sorry, but I really don't have an answer, because I don't think there is an easy answer. Rationalist and empiricist thought have been contradictory since Descartes and Locke. People have spent entire lives laboring down thought-mines trying to dig out even the smallest chunk of rapprochement, but with no success.
An empiricist investigates the nature of things. A rationalist ponders the nature of things. Most people are somewhere on the continuum between rational and empirical. It's a question of 'where'. Of course, a few of the most hard-core rationalists end up holding some highly irrational ideas as a result.