Badiou is not known for his clarity, lucidity, nor compact writing. Every time I've tried to listen to him on Youtube, or read one of his longer pieces, I fall asleep before I'm certain he's even made a point. Hell, to be really crass, my friend Jesse described him as "a walking corpse." Hence, I waited to pick up another book by him - I had his Ethics which matches all the mentioned negative commentary - until a very short one came out. This book was quite the surprise. It's comprised of 3 pieces, all talks her Badiou sometime between 2005 and present. They go in order of clearest, to most confusing, chronologically.
I would not call this book Philosophy for Militants, nor would I call put a gun on the cover, if I was the publisher. Frankly, the book should be called "Philosophy by a Militant," or "Philosophy for militant Philosophers." Although even militant is a strong word, whereas Zizek will call upon the reader to slice off the testicles of the bourgeois, and/or put them in front of a firing squad, Badiou is merely talking about philosophy's relation to politics, and vice versa, and how Truths of philosophy can impinge upon the liberal society of everyone has a right to an opinion. There's some radical undertone here, but again, nothing worth putting a gun on the cover over!
Badiou lays out some very basic points. 1) Philosophy since the time of Socrates has always been about not taking your given social situation, or the societal truths you're brought up in, for granted. One should question and try to improve the society they are born into. This process of questioning and philosophic deliberation requires a democratic form. Everyone talking philosophy ought to be heard, and rebuked; or accepted. Anyone can be a philosopher, including a raving lunatic like Socrates, or a Bishop like Berkeley. Philosophy is a way of being that anyone can undertake. However, if one is committed to truths in philosophy, than the democracy that gives rise to philosophy is not quite the same as the best democratic lay out for actual society. In liberal states it's pretty damn clear that the news, tv, radio, magazines, books, etc., are just riddled with trash, and non-sense. The philosopher cannot respect these points of views out of some liberal bias that everyone gets an opinion, instead non-truths are to be met head on. And this leads to a serious problem, we need democratic philosophical processes, but not liberal democratic governments, if we are want to aspire to a society that is more truthful, and essentially better.
The other essays are also interesting, but progressively get more confusing. The final essay is something to do with set theory, and the singularity of proper noun political movements (e.g., Maoism, Leninism, etc).
Also, interesting to see Badiou's favorite poet is Wallace Stevens..