Synthese has just published the special issue edited by Stephan Hartmann, Chiara Lisciandra, and myself on "Formal epistemology meets experimental philosophy." It's accessible there.
In this issue, we bring together the two most active and innovative areas of philosophy in the last decade: formal epistemology and experimental philosophy. The articles we have edited show how much there is to gain by bringing the two approaches together.
From our editorial: "In the past few years, there has been an increasing tendency in the application of formal and experimental methods to tackle philosophical issues. We very much approve of this trend, which we view as part and parcel of the recent renewal of “scientific philosophy”: In our mind, the aim of a scientifically oriented philosophy is to adopt formal and experimental methods to address philosophical questions."