I appreciate you haggling over the definition of government. The difference between a government and a private entity in this situation is that the government can force you to pay taxes to pay for this river management whether you interact with the river or not, or else you get imprisoned. On the other hand, if you don't want to interact with the private owner of the river, then you don't have to. The world is round; go the other way. The river is only so long; go around it. The river is on the surface of the planet; fly above it.
Now, I have NOT said that I subscribe to a full-on anarcho-capitalist system; I mainly understand the theory behind it, and think that it makes the best theory ON WHICH TO BASE A PRACTICAL SYSTEM OF GOVERNMENT. I do think government is needed for some things. I'm a huge fan of our original form of government in the US, namely federalism — though I'd have some cuts I'd make there too.
And I mainly felt like leaving this conversation because you seemingly try to insist that I don't know what I'm talking about. I do know what I'm talking about. Just because you don't agree with me, or you feel you've thought about this more than me doesn't make it so.
Did you even watch the video of Milton Friedman on market failures? He left it open at the end to say there are times where government might be best, but you cannot immediately and automatically say that government is better — which is exactly what the progressive movement in this country tends to claim.