Wealth is for all intents and purposes infinite. Wealth is the sum total of all human endeavors. It is created, usually by private enterprise and industrious individuals from assembly line workers to engineers. It can also be destroyed, usually by ill conceived or flat out corrupt government schemes like the Iraq war and Cash for Clunkers. Certainly, having wealth already makes it easier to create additional wealth. But anybody can create wealth if they choose to. A person can write a computer program, record a song, build a table, repair an old bicycle. Those all create wealth. If you get right down to it, wealth is an accumulation of time spent creating. In a sense you're correct that at a given point in time, wealth is finite. But in the time it took to type that sentence, more wealth was created. And more wealth was just created again. And again. And again. Wealth is expanding constantly. Let's just look at one portion of wealth, a current hot item, intellectual property. Do you believe that every song that can be sung has already been written? If not, when will the end of music occur? Surely if wealth is finite, then we must hit a brick wall at some point and no new music will be created.
The tragedy is that so many people believe in the broken window fallacy. Rather than use our time and effort to create more wealth, we choose to use government to purposely destroy wealth so then we can pay people to re-create that which we just destroyed. That is why wealth appears to be finite. Because right now we seem to be destroying it as fast as we can create it. To apply this to the previous intellectual property example, let's look at copyright. Government in it's wisdom has decided that copyright needs to be extended every time Disney is about to lose the copyright on Steamboat Willie. Hollywood has basements full of film rotting away, never to be seen again, while most of that old footage can't be seen due to copyright restrictions. We destroy old wealth in order to create new wealth. And who is the beneficiary of this new wealth? Not the public. Rich Hollywood executives and actors, with the crews who work on the film making a pittance. Thanks government, for destroying the public domain and transferring the wealth of the commons to a few hands.
More examples? War. We destroy nations just to rebuild them. Cash for Clunkers. We destroyed millions of cars, that was wealth which is now gone. And who benefits from these types of actions? Sure, the peons who do the actual work get a few crumbs, but it goes disproportionately to those already on top. We will not become more wealthy by taking from some and giving to others. We become more wealthy by creating more wealth in a way that doesn't destroy what we already have.