What we are really in is a global biflationary depression. Money printing causes not only inflation, but pockets of deflation as trust in the system is lost and velocity V plummets. We’re still screwed (even worse than just inflation) but it can look benign as the numbers cancel out. Wages down, margins down (deflation) but food, gas up.
http://www.futurnamics.com/biflation.php
It does not lead to inflation. Rapid monetary growth is inflation.
Certainly the Fed is aware of the inflation that they have ignited. That's the Fed's plan.
They are trying to push inflation because deflation worries them a lot more than inflation.
Oh, they see it, they just don’t give a damn.
Yes, we're in a very dangerous, unprecedented situation, but what the future holds is far from simple or predictable. What we've seen thus far is deflationary, interspersed with commodity bubbles. Where in a deflationary economy, is the money coming from, to fuel the bubbles? Government stimulus.
Beyond that, well, there they be dragons, anyone who claims to know is trying to sell something.