Sobering thing that 2001 got right...
... is it really hammered home how vast space is.
Thanks to decades of Star Trek and similar sci-fi, we've been conditioned to think that FTL travel is right around the corner, and we'll be zipping to nearby stars in hours, days or weeks at worst.
The crew of Discovery spend about 2 years just getting to the mid-way point of our solar system which is pretty optimistic even to this day.
The nearest star would take tens of thousands of years to reach using any currently envisioned technology. Even if we somehow found some form of light-speed travel, it would take about five to six years to reach it. Not too many people will be doing round-trips.
Not to be a downer, but the human race will likely be extinct before we achieve interstellar travel. If we are lucky, we MIGHT get to extend ourselves throughout our solar system, but even that is highly improbable.
The reason that we have yet to discover any sign of life in our galaxy may be just this... that there may have been million of civilizations, but on a cosmic time scale, they've flickered in and out of existence with tens or hundreds of thousands of years between them. Even if we missed them by a second on a cosmic scale, that still amounts to 62000 years... much longer than all of human history.