Yes, Claude Lévi-Strauss is still alive and will celebrate his 100th birthday in a few weeks.
Beyond his well-known scholarly accomplishments, I think I can say without fear of contradiction that Professor Lévi-Strauss' personal longevity is a testament to the positive benefits of the pursuit of structural anthropology on long life and good health. Just carrying around his four-volume, 2200 page oeuvre, "Mythologiques" will improve your muscle tone and cardiovascular capacity.
In his Times Literary Supplement article (available here), Patrick Wilcken notes that Lévi-Strauss' three dimensional approach to myth analysis is like a Klein bottle:
"Mathematically generated, but with an organic feel, the Klein bottle’s bulbous, undulating form is self-consuming and conceptually difficult to grasp. It has no true inner or outer surfaces. Like Lévi-Strauss’s oeuvre, it eternally feeds back through itself."
What Wilcken is referring to is the recursive nature of Lévi-Strauss' technique. A myth cannot be understood by itself, but only as part of the complete body of a culture's mythology. According to Lévi-Strauss, such an analysis is necessary because the reasoning taking place within a myth defies what we understand as logic. It is not linear thinking, but rather a metaphoric leap of faith that finds connections where there aren’t any and achieves the reconciliation of the irreconcilable.
The Klein bottle may be an apt metaphor for the recursive nature of Lévi-Strauss' technique. I like better his other metaphor of mythology as a culture's musical score of which we only see a bar at a time and which we must reassemble in complete "musical notation" form to fully grasp.
Lévi-Strauss' work came at a time when anthropologists in general were abandoning the belief of James George Frazer and the other pioneering anthropologists that pre-literate peoples were somehow more primitive, more childlike or less intellectually capable than modern man. His attempts to define the structures of aspects of pre-literate societies demonstrated a complexity of thought and a subtlety of mind equal to our own.