I looked him up on Wikipedia and it is all completely unintelligible to me. I believe if you can't express something simply and clearly, then it doesn't really mean anything.
ED. Great answers so far: one's as clueless as me and the others a luNUTic.
Anonymous
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I agree. I don't understand it. Sorry I couldn't help. Try this site: http://students.washington.edu/schenold/badiou/index.html
Also, one of his works is translated in English here: http://www.lacan.com/badenglish.htm
Pug
"Can anyone describe Alain Badiou's philosophy in a nutshell?"
Clearly and simply:
1)How did I get into this nutshell: did I shrink or is the nutshell very, very large?
2)What lies beyond this nutshell; is it meant for me to know, and am I capable of knowing it?
3)How do I exit this nutshell?
4)Might I be a nut?