Why Software Matters
"It's the only way to tackle today's big questions" is a popular answer to the first question, while "We need to know if we can trust it" is a common response to the second, but I think both miss the point. Open source, open science, open access, open data... they're just enablers. The real prize is massive, open collaboration. It's meeting people you would otherwise never have met who can extend your work in ways you never thought of and then share their results so that others can take it even further.
But even that is just a means to an end. Software and science may be what we collaborate on, but they're also what brings us together, just as cleaning up a park can be what brings a neighborhood together. That's why I think groups like the Software Sustainability Institute matter so much. They are helping scientists (and through them, everyone else) build the technical and cultural muscle they will need when climate change, mass extinction, resource depletion, drug-resistant diseases, and all the other problems we're so resolutely not addressing right now can't be avoided any longer.