He suggested a reconciliation between the theses of Auguste Comte and the neo-Thomists.
Falkener was a Thomist but an incomplete one since, in addition to Peripatetic-Thomist proofs for the existence of God, he also accepted St. Anselm's proofs.
The academy was one of several Thomist foundations in places such as Bologna, Fribourg (Switzerland), Paris and Lowden.