The famous hymn of the church “And Can it Be?” contains a line that asks a very poignant question: “How can it be that thou, my God, shouldst die for me?” Is it accurate to say that God died on the cross?
This kind of expression is popular in hymnody and in grassroots conversation. So although I have this scruple about the hymn and it bothers me that the expression is there, I think I understand it, and there’s a way to give an indulgence for it.
We believe that Jesus Christ was God incarnate. We also believe that Jesus Christ died on the cross. If we say that God died on the cross, and if by that we mean that the divine nature perished, we have stepped over the edge into serious heresy. In fact, two such heresies related to this problem arose in the early centuries of the church: theopassianism and patripassianism. The first of these, theopassianism, teaches that God Himself suffered death on the cross. Patripassianism indicates that the Father suffered vicariously through the suffering of His Son. Both of these heresies were roundly rejected by the church for the very reason that they categorically deny the very character and nature of God, including His immutability. There is no change in the substantive nature or character of God at any time.
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Source: Church Leaders