Answer:
No, I don't reckon that water is alive. I don't think that it is "dead" either. It simply just... exists. However, it DOES hold life within it. But the water itself is not alive, because for something to be considered "alive", it must meet the requirements of responding to stimuli, reproducing and growing, and must be dependent on its environment. Water itself cannot be dependent on an environment, because it IS an environment.
This is just my opinion though :)