Viruses aren't alive any more than a prion is. Prions are self replicating protein molecules if you didn't know and they are responsible for CJD and Parkinson's disease in humans, Scrappy in sheep, and Mad Cow disease. The way they work is actualy by subverting similar proteins and converting them into copies of the prion. In this they are analogous to a virus subverting a host cells protein assembly functions.
Nether can replicate without assistance and neither possesses any sort of energy conversion mechanism (i.e no metabolism). They do not respond to external stimuli either, if you place a virus in a toxic environment it will not attempt to move away or protect it's self, nor will it actively seek new host cells. The way they survive is through truly staggering numbers and the laws of probability, nothing more.
One thing we do know about there origins though is that they must have been with us (us being life on earth) from if not the beginning, then very soon after it. All organisms on the planet are subject to infection by viruses. This indicates that they must have co-evolved with the earliest forms of life or they would not be present in all kingdoms of flora and fauna.
Another thing that would put them in the not life box (IMO) is the fact that they are surprisingly in efficient at replication. They are not good at reproducing there genetic code exactly, the rate of mutation is surprisingly high. The common cold virus on average mutates by about 1 base pare per year. This is the reason you cant develop immunity to it, it changes its glycoprotein structure (basically, the mechanism the body uses to identify self form non-self) too much and too fast for you immune system to recognise and destroy it straight away. This is an ingenious way of evolution without the need for sexual recombination but it's not really that good for the organism individually as the vast majority of the mutations will prove fatal, in so far as they dont just occur in the glycoprotein coding regions of the genetic material but all over. Meaning that there is a good chance that the mutation will be on a vital protein such as the one that allows the virus to attach the host cell or penetrate the cell membrane.
Slightly on a tangent...
Someone above mentioned that if we were to classify viruses as alive then we would also have to classify mitochondria and chloroplasts as alive too, well interestingly it seems as if this was exactly the case a long long long time ago. IIRC it looks like during the early evolution of life then the mitochondria and chloroplasts were indeed free living organisms that developed a symbiotic relationship with larger cells, these early cells were not very good at producing energy as they hadn't figured out how to use oxygen, the mitochondria/chloroplasts were good at energy production however because they had hit upon the idea of using this quite stupidly toxic gas to further the production of energy but finding food was a bit of a problem (lots of energy production = lots of fuel needed)....you can kinda see how a symbiosis might occur here cant you, eventually the two (three in plants, mitochondria, chloroplasts, and host) merged. It's indicated that this is probably what happened by the fact that the mitochondria still retains some genetic material within it's self. If they were not originally free roaming then there is no need for them to have this DNA.
One last thing without the humble virus it's very likely that we would not be here. Again IIRC.
The human genome project reveled that we all cary a viral genome that is encoded into our very DNA, chopped up into little pieces and made inactive by placing bit of junk DNA in between.
What the hell was it doing there? Well it turns out that it's actually quite important during pregnancy.
When a woman becomes pregnant and the baby begins to develop then it needs nourishment from the mother. This is done by the placenta. The placenta forms form the mothers own cells but also a few sperm get in on the act too and help out. This makes the developing placenta a hybrid between mothers cells and fathers cells, something that he mothers body would immediately reject and her immune system would attack on sight.
Now this is where the virus comes in, it appears that the placenta transcribes and expresses some of the proteins from the virus genome. Specifically the proteins some viruses use to mask them selves from the hosts immune system, this protects the placenta from attack and alows the bayby to develop. Without it the vast majoraty of pregnencys would self terminate and we would all never have exsisted im all probabilaty. Weard huh?
My god thats a lot of text....
Umm TL

R then,
No i dont think viruses are alive.