Hi Tylos,
I know what you're getting at. I don't like the word "right" either because I think to have a "right" to something implies that it's being granted to you through some higher authority. The basic difference between a Libertarian and an Anarcho-capitalist is that Libertarians believe in property rights - that the government should use the threat of violence to ensure that property (in the form of land, goods, patents, etc) is not stolen. I disagree with this idea because what if a person owns little to no property? He is then forced to pay taxes to ensure that the rich property owners have their land and ideas protected! We can see how some of the huge corporations are propped up through the government especially with patents: imagine how cheap a (ripoff) iPod would be if they weren't patent protected? And look at the bagless vacuum cleaner, all of a sudden the patent expires and they become dirt cheap!
The free-market solution to this problem is simply that people need to pay for the protection of their property. In an an-cap society, there would undoubtedly be an almost limitless number of private security companies that you could hire to do this for you. Similarly with intellectual property, businesses would develop ways of protecting their innovations if they felt that it was cost effective.
So I agree with twistedbydesign that your "right" to property is based on your ability to defend and protect it. And how do you get to own the land in the first place? Well, if you're the government, you just turn all imperial and seize it by force from anyone smaller and weaker. If you're honest, you save up and buy it from someone else, or, when the government goes up in flames you stake a claim to some of that "public" land that's just being wasted at present.
I really don't think it would ever come to a situation where one guy owns all the land in the world. Or even a significant amount for that matter. Firstly, how would he get the money to buy the whole world? Secondly, imagine the costs involved in trying to protect it! He'd have to set up an army-like security force to make sure everyone is paying their rent and not damaging his property. If he started charging too much for rent, the people would revolt. They'd bribe his security force, have standoffs, build walls, etc. It would be a complete and utter logistical nightmare!!
Well, I hope I've helped with your questions. Look forward to hearing your thoughts,
Jess