[pfdietz]

> but the truth is that given our current understanding of the world, sending humans on another solar system is theoretically impossible. Just look at those distances: we just can't, period.

Of course it's theoretically possible. We couldn't do it at relativistic speeds, but that's hardly necessary. We could even do it with chemical propulsion (especially if the Oberth effect were exploited by close solar/stellar flyby). Granted, the trip would take a long time, the scale of the vehicles would be very large, and the humans who arrived would not be the ones who left.