exactly, "private ownership of the means of production...." that's an important distinction. It also says, "Central characteristics of capitalism include capital accumulation, competitive markets, price systems, private property, property rights recognition, voluntary exchange, and wage labor." Literally the next sentence. I'd rather not argue the very well understood definition of Capitalism.
You can't have wage labor unless you have money as a construct.
They paid people in ancient times. They knew what a typical day's wage was in Athens:
> Also during Pericles' tenure, pay for civic service was instituted. No single other reform furthered democracy as much as pay for service. Now many more people could afford to serve, and for some, serving became attractive financially. First, dicasts, or jurors, began to be paid. A low rate, but half a day's wages or so. That was introduced by Pericles while Cimon was still around, perhaps to counteract his liberality with his own wealth. Jurors were appointed by lot annually and could serve year after year. By 422 (Aristophanes Wasps 662), there were 6,000 jurors per year. Cleon increased the pay rate to 3 obols a day. Pericles also started the payment of soldiers and sailors 3 obols a day.
You have a very formal, academic understanding of capitalism while we are arguing that the fundamental ideas of capitalism naturally exist because that's logical for human psychology - owning things, trading, markets, paying people for labor. This is all stuff that goes back to the earliest recorded records. Cuneiform tablets are just endless accounting ledgers.
They provide services. What does a cashier "produce" at the grocery store? There were also artisans of all sort that did produce finished or intermediary goods - brickmakers, pottery makers, blacksmiths, weavers, animal breeders, and on and on and on.
the athenian system, as per the UVM article, doesn't align with modern capitalism. It had democratic features like paid public service roles, but was primarily an oligarchy, not a free market. economic participation was broadened, but the structure remained class-based, with power concentrated among the elite.
It's economy wasn't modern free market system focused on capital accumulation and investment for profit. It was a mixed economy with significant state involvement and a variety of revenue sources that went beyond simple market transactions.
State actors paying their civil servants isn't evidence of capitalism, or wage labor.
( David Graeber does write about ancient Greek city-states and how their coinage came to be, according to the historical and archeological record, in "Debt: The First 5000 Years," by the way. )
Capitalism, is a relatively modern phenomenon, with a pretty common, well understood definition. This isn't a heretical or radical idea. You may find some societies prior to the 16th/17th century that fulfills some characteristics of capitalism, but they don't make the cut.
People naturally want to trade. Markets existed before capitalism and they will exist after capitalism.
You can't have wage labor unless you have money as a construct.