The Fermi paradox is the apparent contradiction between high estimates of the probability of the existence of extraterrestrial civilization and humanity's lack of contact with, or evidence for, such civilizations.
[quote]Everything we ever do, say, or experience is measured against the yardstick of human endeavor. It’s great to say that the universe is 14 billion years old, or that Voyager 1 is now flying towards one of the nearest habitable planets, but it’s only when we put things in human terms do we truly appreciate the scale of the universe.
The blue dot represents the bubble of humanity’s influence in the Milky Way. The bubble is roughly 200 light years across, representing the farthest distance that our earliest radio transmissions will have reached. In essence, that blue dot represents the extent of anything and everything that humans have ever “touched.” If there are any alien civilizations out there, they would only know about us if their planet is within that 200-light-year bubble, or if they happened to be passing through our tiny portion of the Milky Way on a transgalactic journey.
It’s really hard to impress upon you just how tiny humanity’s 200-light-year bubble is. The Milky Way is around 120,000 light years in diameter. Given that we’re about half way along one of the Milky Way’s spiral arms, it would take about 80,000 years for our radio waves to blanket the entire galaxy. Homo sapiens, incidentally, is only around 300,000 years old, and only 200 years of that has been emitting radio waves.[/quote]
Basically even if there is other highly intelligent life form(s) in our galaxy the chances of them coming across our tiny bubble of influence in our short period of civilization is laughably small. We think a little too highly of ourselves to assume we are so important and awesome that we can't be missed.
Tl;dr Fermi's paradox isn't a paradox.
[url=http://www.extremetech.com/extreme/169985-humanitys-infinitesimally-tiny-influence-on-the-universe-or-why-we-havent-met-any-aliens-yet]source[/url]
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If by any chance, we do find intelligent alien life, I hope humans stay away from it, humans will probably try to kill them, enslave them, and take over their planet if they can.