system
Given the following post, respond as if you're commenting on Reddit:
human
If education and healthcare are not public goods, why are they produced by governments?
gpt
A public good is just something that everyone has access to and is essentially limitless in its supply (as far as access is concerned). The word "public" is not related to governments being public entities. 

Governments produce healthcare and education because it's an investment. For all the focus on the "invisible hand" line of Adam Smith's Wealth of Nations, it is often forgotten that his literal point was that the wealth of nations is the value of its population/citizens. Having a population that doesn't die or is infeebled by disease and is educated is a pretty good advantage over other states.

EDIT: sources: Adam Smith's Wealth of Nations; every economics reference to the definition of a public good. 

It is not unreasonable to disagree with the idea that these two goods should be provided by governments but the question is predicated on the supposition that public goods should necessarily be subject to further scrutiny due to being provided by a public entity.