This book is an attempt to expound the main themes of the Radical Orthodoxy movement. The unofficial leader of the movement, John Milbank, has written a preface where he welcomes the common cause with the Reformed way of looking at the world and that the Inter Varsity Fellowship ‘has shown...
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Here's a review by a book on this subject but some caveats and questions are in order. The book (and the whole movement) is saturated with philosophical lingo. And Smith's "Reformed" response is equally bad but interestingly idiosyncratic (does anyone really care about Dooyeweerd anymore).
What level of philosophy are you at personally? Without a deep knowledge of this stuff, anyone would get swallowed up by the whole discussion in general. I'll try to remember what I can about this whole thing and make comments, it's been a very very long time since I read about this topic (the movement is basically gone as far as I can tell, I'm no expert though and I welcome any corrections).
Ok, here we go! First off this started as a neo-Augustinian movement before it got it's name of "Radical Orthodoxy" (I remember reading about it and the player's involved in the early 2000's). But it's largely an Anglican and Roman Catholic thing, wrapped up in Postmodern vocabulary.
The "story" of Western society they tell is this, the world isn't the grand "neutral" place we think it is, it's saturated by religions and religious ideas. Modernity (an incredibly complex and debated idea in philosophy I might add) is not some secular "neutral" paradise where we can all just get along.
Modernity itself is a theological ideology and it's anti-christianity in substance. This seems like a no brainier, the World will hate us because of him and all that, but the rub is in the "rubber meeting the road" of the ideology.
So the church must have an alternative view of things to counteract this heretical theology of Modernity. They place the blame on Scotus and Nominalism for leading us here. Essences don't actually exist, a demystified world comes out of this and being that it's a largely a Catholic movement they also place the blame on Luther and the Reformation.
This is "true" in ethics, politics, epistemology, and metaphysics. We'll start in reverse, the Augustinian metaphysics (leaning very close to neo-Platonic metaphysics) they employ (and give a very strange interpretation of Aquinas) lead's to a view of reality that's more of being "suspended" from God then anything else.
There's nothing "structurally sound" about creation on its own because it requires every moment of it's existence to God but in a "Radical" way. But it's not really pantheistic (everything is God) at all. But one wonder's how they could have a good Creator/creature distinction with such a Platonic suspension metaphysics. Although Smith brings in Jonathan Edwards as a possible dialogue partner briefly.
That's that the idea of an essence based metaphysics gives too much being to the world thus making it practically self-existent. Plus Scotus already paved the way to a "godless" creation anyway. They say "no wonder Atheism is so popular".
They want a "Radical" dependence of creation on God, thus the Platonic suspension thing. If reality is dependent on God in a Radical way than by implication everything is on some level religious in nature (it "Radically" always points back to the Creator in it's very being). Your comments on "mystical" would be appropriate here.
Also we must be "Radical" in our epistemology (theory of knowledge) and reject "secular reason" and it's claim of being a neutral judge in society and thought. Why would we trust an alternative "religious" theory of knowledge when we already have an "Orthodox" one? Here Smith briefly brings in Van Til and "Reformed Epistemology" (Alvin Plantinga and Nicholas Wolterstorf).
All this comes down to politics and ethics. Therefore the Christian (as if Christian's don't instinctively do this already) should take their Orthodox and "Radical" convictions into the public square.
Why must they do this? Well if they buy into the myth that Secularism is a neutral and non-religious thing, then they're siding with the enemy. Modernity is just as religious as any old grandma going to church every Sunday.
So the rubber meeting the road question comes up, what sort of politics is "Christian"?
Largely, as far as I can tell, what we would call in the US liberal politics. But to be fair I don't know what the political landscape is like in Britain (this was largely a British thing) and it might not be fair to redefine their terms in our own American terms, I just don't know.
It's "Orthodox" in a weird sort of way because of the influence of Postmodern ideas and it's penchant for redefining everything, that whole "we use the same words (redefined in different ways), so we're Orthodox too". But emptying classical word's of their classical meanings amounts to destroying them.
But they take that into a "Radical" direction, opposition theoretically (not practically) towards Modernity. They reject the idea that Modernity is non-religious (it's just another religion out there) so because of that they can bring in their own religion to philosophize about things. A sort of "if you can do it then so can I" thing.
Smith brings in his own very idiosyncratic and complex view of a "Reformed" response to the movement to enter into critical dialogue with it. I'll leave that out for the sake of sanity and length. Unless anyone wants me to try.
But my own critical take on it is this, they certainly overlap with ideas in certain Reformed Philosophical school's so I guess dialogue is possible. But every one of their points are disputed debates within philosophy and spill over into theology. A whole book could be written on that and Smith certainly does that but it's dated.
I'd be very weary of studying that movement without a good background in historical and philosophical ideas, especially Postmodernism. Although I would recommend Michael Horton on this one. He's well versed in this kind of stuff and a safer place to get a Reformed response to it (he contributed to a book of essays on comparing and contrasting the movement to Reformed theology edited by Smith as well).
He's an amazing source to go to, Horton that is, for understanding Postmodernism and Radical Orthodoxy. I know he's interacted with both in his writings. Just Google "Michael Horton on Radical Orthodoxy" and I'm sure you'll get what you need.
My apologies for the length and complicated nature of my response but with a philosophically saturated movement like this then it's unavoidable. I can try to answer any questions you or anyone else has but this is like Alice's rabbit hole to be honest with you.