There is no such thing. Is a polio shot a public good to the one child in a million who dies from it? Is a highway a public good to the man who loses his farm for it?
and we hire the government to provide them.
Hiring refers to a voluntary process. You are referring to a non-voluntary process based on violence not collaborative activity.
Naturally, any contract grants privilages and imposes duties, so to partake of public goods you as individual do forgo certain freedoms.
Please provide evidence that I have signed such a contract.
Having common currency, including that which is "faith-based," in a public good
Not for young folks trying to purchase inflated housing. Or old folks being robbed of their benefits and savings via inflation. Remind me how falsifying the CPI is a public good?
You exhibit what Dostoyevky called arrogance of ignorance. As if it were not bad enough that you delve into matters of some complexity without taking economics at least at the intermediate level of college --- you declare that things you do not know and clearly do not understand do not even exist.
You have no idea how foolish you look when you say things such that quoted above. Perhaps you should stop: you already have both feet firmly placed in your mouth.