There is the view I call penal non-substitution, or the penal example view. (It is also called the Governmental View in textbooks of theology.) This is often associated with Arminian theology stemming from the great Dutch jurist Hugo Grotius. However, the view was taken up by [Jonathan] Edwards's disciples in New England, who developed a Calvinistic strand of the doctrine.
Oliver D. CrispThe book [Saving Calvinism] itself is not recommending that we move the borders, so to speak. It is recommending that we look at what lies within the confessional bounds of Reformed thought.
Oliver D. CrispFor instance, the notion of non-penal substitution. This idea, found in the work of the nineteenth century Scottish Reformed theologian John McLeod Campbell and based upon his reading of the letter to the Hebrews in particular, is that Christ offers up his life and death as a penitential act on our behalf, rather than as a punishment in our stead.
Oliver D. CrispThe atonement chapter [from the book Saving Calvinism] shows how there are real riches in Reformed theology that most Christians today have no idea about.
Oliver D. CrispNo confession is inerrant; Reformed Christians are supposed to be those who seek to be constantly reformed according to the Word of God - and that includes our confessions as well.
Oliver D. CrispFor those interested in Reformed thought more broadly, I'd recommend Peter Leithart's recent book on Reformed Catholicism entitled, The End of Protestantism: Pursuing Unity in a Fragmented Church (Brazos Press, 2016), as a thought-provoking and stimulating read that should get us all thinking about the future shape of the Church, wherever we come from.
Oliver D. Crisp