Some specific things we want to see:
All of scientific knowledge available and organised - Simply, everything we discover as humans should be organised and available for querying and review by everyone, for free.
Extension of the amount of knowledge we can obtain through programming - It's becoming clear that it is possible to directly affect how much we can discover (in the positive direction), as humans, by using tools to aid us. We want to help explore this ability as far as possible.
Executable papers - The idea that any paper can be obtained, the entire source material being handy, and then any change anyone likes can be made to it.
Interactive papers - Following from above, imagine now that the process of reading a paper could be completely interactive; instead of static examples, you could have an executable environment, and put in your own set of parameters, and see how the formulas in the paper act under such circumstances!