I recommend Doug Sweeney's recent book [Jonathan] Edwards the Exegete (Oxford University Press, 2015), which is a terrific treatment of the way in which Edwards was steeped in the Bible, so that it shaped the whole of his thinking.
Oliver D. CrispThere are constraints on what counts as "Reformed." It's more than a name or a label. It's about belonging to a particular theological stream or tradition, which is shaped in important respects by particular thinkers and their work, particular arguments and ideas, a particular community (especially, particular church communities, denominations, and so on), particular liturgies or ways of worshipping and living out the Christian life, and particular confessions that inform the practices of these communities.
Oliver D. CrispTo my mind [ Jonathan Edwards] is an interesting figure because he is both a canonical Reformed thinker, and yet also someone that pushed the envelope in a number of key areas of theology.
Oliver D. CrispIt is often reported that the Five Points of Calvinism are the conceptual hard-core of Reformed thought. That is very misleading. The Five Points supposedly originate with the Synod of Dort in the early seventeenth century. Yet we find important Reformed leaders who were signatories to that documentation who don't think that limited atonement is the right way to think about the scope of Christ's saving work. How can this be? The answer that recent historical theology has thrown up is that the canons of the Synod don't require adherence to the doctrine of limited atonement.
Oliver D. Crisp[John Calvin's] treatment of the person and work of Christ, of the Holy Spirit in the life of the believer, of prayer and liturgy, of the sacraments, and of the way in which we have an in-built sense of the divine that we suppress to our great sorrow - these are all immense contributions to Christian thought. The same could be said of his commentaries, which are still regularly consulted by biblical critics today.
Oliver D. CrispThere 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. Crisp