A scientific rather than math related analogy would be that we would have to observe the behaviour of every rock that has ever been suspended in mid-air, and also every rock that ever will be suspended in mid-air to trust that rocks suspended in mid-air do fall.
Is't the Moon just a big rock, suspended above the Earth, by gravity?
Just make sure your head is not under one of them there rocks.
It may have been a poor analogy, but the essence of the two is the same, we do not need to see each and every instance of a phenomenon to conclude that there is consistancy along the entire spectrum of effects.
Your analogy is better, just a bit more dangerous. Rocks hurt more than birds do.