If bitcoins are unregulated, this means that bitcoins are constantly circulating right? It's not like government money that is constantly tossed while new crisp bills are being made. Eventually this means that there will be so many bitcoins as they get mined that a single bitcoin will have nearly no value, right? Or am I missing something?
You couldn't have it more wrong.
Money circulating doesn't create new money. If I have one Bitcoin and I spend it with you, now you have one Bitcoin and I have none. There is no increase in the number of Bitcoins.
There is no cap on how many dollars can be printed, which is why 100 dollars a century ago could buy you much and now it buys very little.
With bitcoins there is a limit of 21million that will ever be created. Some of these will get lost as people lose wallet passwords etc. So the criticism of Bitcoins has normally centred on them being deflationary rather than inflationary.
There is an interesting debate as to whether you can have fractional reserve banking with Bitcoins and hence increase the money supply by lending (as happens with real money).