The Latter-day Saint understanding of the doctrine of theosis/deification ("eternal progression") is one of, if not the, most contentious doctrines we believe. On the Exploring Mormon Thought podcast, four episodes have been posted dedicated to answering many objections and providing evidence from philosophy and biblical exegesis:
EP56-LOGICAL PROBLEMS OF DEIFICATION - OF GOD AND GODS CH 10
EP57-WE SHALL BE AS HE IS: THE MORMON DOCTRINE OF DEIFICATION (P1 1) - OF GOD AND GODS CH 11
EP58-WE SHALL BE AS HE IS: THE MORMON DOCTRINE OF DEIFICATION (PT 2) - OF GOD AND GODS CH 11
EP59-THE SCRIPTURAL BASIS FOR THE DOCTRINE OF DEIFICATION - OF GOD AND GODS CH 12
EP56-LOGICAL PROBLEMS OF DEIFICATION - OF GOD AND GODS CH 10
EP57-WE SHALL BE AS HE IS: THE MORMON DOCTRINE OF DEIFICATION (P1 1) - OF GOD AND GODS CH 11
EP58-WE SHALL BE AS HE IS: THE MORMON DOCTRINE OF DEIFICATION (PT 2) - OF GOD AND GODS CH 11
EP59-THE SCRIPTURAL BASIS FOR THE DOCTRINE OF DEIFICATION - OF GOD AND GODS CH 12
