In this episode, Skyler interviews Dr. James Renihan about his book Confessing the Impassible God: The Biblical, Classical, & Confessional Doctrine of Divine Impassibility.  

The LDS have historically rejected any notion of any god being “without body, parts, or passions.” This teaching was even explicitly identified as a Luciferian deception through the character of a Reformed Minister (called a “hireling of Satan”) in the LDS temple until 1990 (also here). Today, we ask Dr. James Renihan if the doctrine of Divine Impassibility is what the Bible actually teaches, what Christians have historically believed – and why Christianity must confess One God “without body, parts, or passions.” 

James Renihan lectures: 

• "God Before the Beginning” 
• “The Eternal God’s Eternal Love” 
• “The Trinity: The Foundation of Our Faith” 

Also mentioned were his books: 

• Faith and Life for Baptists: The Documents of the London Particular Baptist General Assemblies, 1689-1694 
• A Toolkit For Confessions: Symbolics 101 – Helps for the Study of English Puritan Confessions of Faith 

Against the Gods by John Currid 

All That Is In God by James Dolezal 

The Suffering of the Impassible God by Paul Gavrilyuk 

Christianity and Classical Culture by Jaroslav Pelikan 

Brigham Young: 10.192 ; 13.309

John Taylor: JD 14.267-70

LDS Temple transcript: here and here 

“Strange Creeds of Christendom” by LeGrand Richards 

“The Only True God and Jesus Christ Whom He Hath Sent” by Jeffrey Holland 

The Great Apostasy; Jesus the Christ by James Talmage 

The Truth, The Way, The Life: An Elementary Treatise on Theology by B.H. Roberts 

The God Who Weeps; Wrestling the Angel by Terryl Givens 

Brigham Young clearly taught that “the God that I serve is progressing eternally, and so are his children: they will increase to all eternity, if they are faithful.” (JD 11.286) However, there has been some voices to the contrary, though still stated within a context which accepts eternal progression (i.e. gods becoming gods by obedience to law, acquisition of knowledge, etc, etc)

Compare President Wilford Woodruff and Elder Bruce R. McConkie on the question of eternal progression:

• "If there was a point where man in his progression could not proceed any further, the very idea would throw a gloom over every intelligent and reflecting mind. God himself is increasing and progressing in knowledge, power, and dominion, and will do so, worlds without end. It is just so with us. We are in a probation, which is a school of experience." (Wilford Woodruff, JD 6.120)
• "Now may I suggest the list of heresies. Heresy one: There are those who say that God is progressing in knowledge and is learning new truths. This is false - utterly, totally, and completely. There is not one sliver of truth in it." (Bruce R. McConkie; Seven Deadly Heresies; Notice the condemnation of earlier men of higher church-rank then himself - including but not limited to Presidents/Prophets Brigham Young and Wilford Woodruff.)

Even Orson Pratt, in his "confession" and "apology" for opposing Brigham Young on the eternal progression of even the highest gods, stated that “[w]e are told that every God will continue to progress in knowledge to all ages of eternity; and we are told this by the highest authority on the earth.” (the line was in the original sermon, edited out of JD 7.371-76, but see Conflict in the Quorum by Gary Bergera, p.163. To see more context on the issue, Bergera's book is well-worth reading.)