I am not misrepresenting the intent. The definition says “without government regulation”. If their intent was that some regulation was allowed, they would have said that. It’s the job of a dictionary author to be precise.

If I define a “two legged stool” you can’t add a third leg just because two legs is unstable and doesn’t lead to good outcomes. Whether a market with no government regulation is stable or leads to good outcomes does not change the definition.

You are referring to a “mixed economy” which has some markets and some regulations. A mixed economy is more stable because it is able to reduce market failures like monopolies and externalities that free markets cannot escape.

You're arguing semantics and have rendered the term meaningless in the process. The purpose of a dictionary is to communicate meaning. The meaning of a word or phrase is the idea that it is employed to communicate in practice.

When people talk about a free market they aren't referring to some logically contradictory thought experiment. It is something that they actually wish to strive for in practice. Thus it is clear that some amount of regulation must necessarily be involved.

This is quite similar to freedom of speech, as I previously mentioned. The concept itself is an abstract ideal and the context of the law matters.

What you are referring to is a laissez-faire market which as history has repeatedly shown doesn't remain a free one for long. An adjacent comment pointed to property rights as an example. You can have a free real estate market without having a laissez-faire approach to property rights, yet the government involvement in that case is extremely heavy handed. The free speech analogy might be a city controlled by the mob where the government won't intervene but saying certain things will still get you killed.

I agree with you that in practice the US is a mixed economy, but then I already acknowledged that (among other things) our farm subsidies are highly targeted and the medical sector is regulated in a very invasive manner. However I do not agree with your suggestion that eliminating monopolies makes a market mixed. A monopolized market is not a free one because there is no competition.