This is a very good article in the NYT about Wittgenstein. It is not surprising he is not popular in current philosophy departments, the author, a Professor at NYU says, as Wittgenstein is so skeptical of standard philosophy. The article summarizes Witgenstein's position:
Philosophical problems typically arise from the clash between the inevitably idiosyncratic features of special-purpose concepts —true, good, object, person, now, necessary — and the scientistically driven insistence upon uniformity. Moreover, the various kinds of theoretical move designed to resolve such conflicts (forms of skepticism, revisionism, mysterianism and conservative systematization) are not only irrational, but unmotivated.The paradoxes to which they respond should instead be resolved merely by coming to appreciate the mistakes of perverse overgeneralization from which they arose. And the fundamental source of this irrationality is scientism.
The dream of social physics dies hard. Economics, even more than philosophy, has suffered from an overtemptation towards generalized parsimonious models.
As Wittgenstein put it in the “The Blue Book”:
"Our craving for generality has [as one] source … our preoccupation with the method of science. I mean the method of reducing the explanation of natural phenomena to the smallest possible number of primitive natural laws; and, in mathematics, of unifying the treatment of different topics by using a generalization. Philosophers constantly see the method of science before their eyes, and are irresistibly tempted to ask and answer in the way science does. This tendency is the real source of metaphysics, and leads the philosopher into complete darkness. I want to say here that it can never be our job to reduce anything to anything, or to explain anything. Philosophy really is “purely descriptive."
And so therefore the purpose of philosophy is not explanation but therapeutic.
traditional philosophy is necessarily pervaded with oversimplification; analogies are unreasonably inflated; exceptions to simple regularities are wrongly dismissed.
— Therefore — the fourth claim — a decent approach to the subject must avoid theory-construction and instead be merely “therapeutic,” confined to exposing the irrational assumptions on which theory-oriented investigations are based and the irrational conclusions to which they lead.