Pictures of Doctrine
A picture held us captive. (Wittgenstein, PI §115)
- Doctrines as Propositions
Thesis: Doctrines explain reality. Doctrinal supply should meet explanatory demand.
Advocate: Alister McGrath
Within the context of a scientific theology, the Christian network of doctrines is conceived as a response to revelation, in the belief that such doctrines will possess explanatory potential. 
The point is that a scientific theology is impelled, by its vision of reality, to attempt to offer an account of the totality of all things, believing that the Christian tradition both encourages such an enterprise in the first place, and in the second, makes the necessary resources available through its understanding of the economy of salvation, particularly its doctrine of creation. … at this stage, our concern is to note that a theologically grounded compulsion to offer such explanations is to be seen as an integral component of the Christian view of reality. [194, Scientific Theology. Vol. 3, Theory. (New York: T&T Clark, 2003)]
Thesis: Doctrines are propositions, and they should be kept to a minimum.
Advocate: Gordon Graham
True piety, we might say, does not require a degree in theology, and, conversely, a degree in theology can be obtained in the absence of piety. If we are to hold fast to this principle, we must be theological minimalists, forever seeking to keep to a minimum the theological content of the “truths necessary for salvation.” … Correspondingly, we will be keenly alive to the possibility, and the danger, of “theological overreach,” which is to say, claiming the status of “saving truth” for what is in fact no more than a theological construct. (Wittgenstein and Natural Religion, Oxford: Oxford UnivPr, 2014, 197-198.)
Thesis: Doctrines are propositions, and they’re dispensable.
Advocate: Ludwig Wittgenstein
Is talking essential to religion? I can well imagine a religion in which there are no doctrinal propositions, in which there is thus no talking. Obviously the essence of religion cannot have anything to do with the fact that there is talking, or rather when people talk, then this itself is part of a religious act and not a theory. (Ludwig Wittgenstein and the Vienna Circle: Conversations Recorded by Friedrich Waismann, ed. Brian McGuinness. Oxford: Blackwell, 117)
- Doctrines as Questions.
Thesis: Doctrines are prompts to self-interrogation, generative of lines of theologically articulate suspicion.
Advocates: Rowan Williams, Peter Dula
dogma reflects a commitment to truth…at whose centre lies…not a theoretical construct, but the abiding stimulus to certain kinds of theoretical question. 
The theologian’s job may be less the speaking of truth…than the patient diagnosis of untruths.  (On Christian Theology, Oxford: Blackwell, 2000.)
According to Williams, we too readily treat dogmas and other theological propositions as answers to “the essential questions;” whereas true theological thinking seeks instead to be brought into the vicinity of truth by opening and re-opening these questions, by agitating the doubts and conflicts behind accepted answers. [from Robert Jenson’s review of On Christian Theology, in Pro Ecclesia (11.3), 367.]
- Doctrines as Rules
But what do they regulate? Or, what metaphorical vehicle do they employ?
A. Doctrine as Grammar
Advocate: George Lindbeck
For a rule theory, in short, doctrines qua doctrines are not first-order propositions, but are to be construed as second-order ones: they make…intrasystematic rather than ontological truth claims. (The Nature of Doctrine, Philadelphia: Westminster Presss, 1984, 80.)
B. Doctrine as Protocols against Idolatry
Advocate: Nicholas Lash
creedal confession is the declaration of identity-sustaining rules of discourse and behavior governing Christian uses of the word ‘God.’ (Three Ways of Believing in One God, London: SCM Press, 1992, 9.)
C. Doctrine as Stage Directions
Advocate: Kevin J. Vanhoozer
Doctrine…resembles “stage directions for the church’s performance of the gospel.” Doctrines are less propositional statements or static rules than they are life-shaping dramatic directions. (The Drama of Doctrine, Louisville: WJKP, 2005, 18.)
4. Doctrines as Capacities
Thesis: Concepts are skills, and doctrines are constellations of concepts. Indoctrination is formation in religious know-how.
Advocates: Paul L. Holmer, Charles M. Wood
Most concepts are “enabling”; and one learns a concept by getting in on some aspects of what it enables one to do. The richer the concept, the greater the enabling. Some concepts–e.g., that of the “round world”–mean so much because they enable one almost indefinitely. No limit can be drawn around the number of things that are sayable and thinkable with that concept. This is part of what is meant by saying that such a concept is open-textured, though this does not mean that it is ambiguous or vague. Instead, it is to say that the concept is very powerful and hence exceedingly meaningful.  … Again, it is the competencies, the abilities, the enabling for a variety of tasks, that is the complex of a concept. We do not read concepts from a printed page–we ordinarily acquire them as we would a skill or a technique.  … We are indebted to concepts for changed dispositions, for creating and sustaining emotions, for enlarging sympathy, for stimulating passion, and even for creating the virtues.  … Having the concept “God” is also to have a certain set of functions in one’s life. If one knows how to use the word God in prayer and worship, then one has the concept. One can do all sorts of things with that concept “God”– for example, one can explain, praise and curse. One can even attain peace of mind and forgiveness of sin. The concept is crucial to a way of life and a view of life. … “God,” as a concept, has a location and place in our lives.  (The Grammar of Faith, San Francisco: Harper&Row, 1978.)
I’ve posted previously on Wood’s conception of doctrine — here.
This scheme doesn’t pretend to be exhaustive of all options. The representatives highlighted may fit into multiple categories, but I have tried to gesture to their respective centers of gravity. Option 2 I think is easily subsumable into Option 4, as would be expressivist accounts of doctrine. A standing question for me is how to correlate options 1, 3, and 4; all presumably have some contribution to offer, but what are they?
When it comes to my citation of Wittgenstein, I think this is an example where he’s less helpful on religious matters. A religion in which there’s no talking … really? Here’s my gripe: though Wittgenstein does well to undermine intellectualist pictures of religion, the alternative picture many of his explicit remarks on religion tends to conjure strikes me as more Jamesian and, ironically, not Wittgensteinian enough, not consistent with where you’d think the thrust of his Investigations would lead him. His last clause, “when people talk, then this itself is part of a religious act and not a theory,” is closer to the mark, but exceptional. More representative is, “faith…is what Kierkegaard calls a passion” (CV 53e, emphasis original). Wittgenstein more often than not roots religion in human passion, not action and reaction. This is despite his own more characteristic efforts on other fronts to remind us of “our natural history as walking, eating, drinking, playing” (PI 25), that is, as fundamentally acting beings, animals, not thinking or feeling beings first. To follow up on this, do see Graham, Wittgenstein and Natural Religion, 95, 121-24.