Earlier quoted context omitted.
This is only true if the relevant government sets prices by law. Every time that's been tried, it's been a complete disaster.
...or if the law requires certain payments to be made (taxes, fines, etc.), provides legal protections for creditors when people default on their debts, and gives courts the legal power to require one person to pay another. This is what drives the demand for fiat currencies, and as long as the supply remains limited the currency will have value.
It's true that US taxes get paid in US dollars, but, as I point out in another comment, that fails to distinguish "fiat currency" from metallic weights, which are universally considered "not fiat currency". So I'll put the question to you as well: if your taxes were assessed in silver, would that make silver, to you, a fiat currency?
> as long as the supply remains limited the currency will have value.
A technicality: e.g. Zimbabwe's money lost 100% of its value (it was abandoned by the population) long before an infinite quantity was available. I don't really disagree with the idea here, but the phrasing isn't right.
EDIT:
I might also point out that the Somali shilling (a paper currency) is widely used in transactions despite not being backed by any law or government at all. Since anyone can print them, they tend to trade at a value roughly equal to the cost of printing.