@hue-man,
Turgenev's nihilist Bazarov was a believer in science and progress. He did not believe in nothing. He believed that the old ways of tradition and religion were nothing. Bazarov believed that the old ways must be swept away to make way for the new. Fathers and Son's is a novel about the generation gap in 19th century Russia. Turgenev painted Bazarov as a tragic and ultimately self-destructive figure. Bazarov is frightening in many respects but there is also something admirable about him as is the case with all tragic heroes. Turgenev's novel is very nuanced and not merely a piece of anti-nihilist propaganda.
Nihilism was a political and cultural stance among some of the young Russian intelligencia. Some of them engaged in revolutionary violence such as bombings and assassinations. "Nihilism" began as a term of derision and (as often happens with such terms) some of these young people ended embracing the term as a badge of honor as Bazarov did. Something of this sort: "If you call those who want to overthrow the old corrupt and debunked traditions and political dogmas a 'nihilist' then Yes! I am a nihilist!" It was a statement of defiance against the old order.
The coolest thing about the nihilists was what they wore. I don't know where the costume came from but they wore tartans (Scottish plaid), long beards, boots, and blue sunglasses and they often carried around huge walking sticks. I'm not making this up. Basically, it's the best Halloween costume ever!
There are other definitions of nihilism of course including black turtle necked sprockets of the Big Lebowski but when I hear the word I always imagine the 19th century Russians. That said, I'm not at all sympathetic to that cause, quite the opposite.
Also, the original coinage of the word "nihilism" is usually traced back to Jacobi, a defender of Faith, in a polemic against Kant's new philosophical system or I guess it was a letter against Fichte who was the self-proclaimed successor of Kant.