Nope, not confusing anything. Whether the Earth has one moon is an objective fact. Whether x justifies the claim that P is not an objective fact. And no knowledge is objective. (Propositional) Knowledge is justifed true belief. Well, least controversial there is that beliefs are mind-dependent. Beliefs do not obtain mind-independently. — Terrapin Station
You agree that the Earth having one moon is an objective fact. Okay, we agree on this. However, you also say in your next statement that "[w]hether x justifies the claim that P is not an objective fact." I would say it depends on what you mean. I'm assuming you mean that in logic when using a deductive or an inductive arguments, the method used in logic to justify an argument is not objective fact. In other words modus ponens is not an objective fact of logic.
I still think that part of the problem is in our views of subjective and objective. I would say that something that is subjective is mind dependent, so I like orange juice is dependent on what I feel or think about oranges. So the fact is dependent on me in a significant way, the fact would cease to be a fact if later in life my tastes changed. This is not only an example of a subjective fact, but also contingent fact. Of course all subjective facts are contingent. One could also say that it is a contingent truth, since the truth of the statement depends on me. It must also be pointed out
that statements are said to be true or false, that is, epistemology (knowledge as justified true belief) is something that occurs in language (language-games). Facts, whether subjective or objective either obtain in reality or not. We use statements to reflect facts, so if I say, "Sam likes oranges," then I'm saying that it is true of that statement, that it reflects a particular fact, viz., that I like oranges. So there is a correspondence between this particular statement and the fact in reality (whether subjective or objective). The statement mirrors, reflects, or corresponds with reality. Note also, that the fact associated with the statement, "I like oranges," is also an abstract fact, or an abstract truth, it does not reflect a physical object like the statement, "The Earth has one moon."
Objective facts are mind-independent, that is, the fact is not dependent on me, but is separate from how I think about it. No matter how I feel or think about the fact that the Earth has one moon, the fact will still be a fact even if I cease to exist, and even if there are no minds to apprehend the fact. This is quite different from a subjective fact, which is dependent on me. If I cease to exist there would be no present case of Sam liking oranges. It would only be a fact of the past. The statement that the Earth has one moon is a statement that reflects an objective truth. Again, though, when talking about truth, we are talking about statements. When talking about facts we are talking about things, whether physical or abstract, that exist in reality, apart from how we talk about them. There is much more that can be said about abstract ideas and minds in relation to reality, but I will refrain for now.
There are facts about language too, so facts can reference things in or about language, and this is also part of reality. However, it is also true that language is mind-dependent, so how can there be objective facts of language? Is not part of the definition of subjective, mind-dependent? Yes. However, not everything that is mind-dependent is subjective. There are things that minds do that reflect facts in the world. Thus, minds create language, and as such language is an objective fact of the world.
There is something interesting here that makes me think of Wittgenstein's private language argument. Wittgenstein points out a problem with trying to create a private language, and the problem is associated with rule-following. Rule-following is not something I learn in isolation, that is, I learn to follow rules in a linguistic culture, so it necessarily has a social component. Note that we can objectively observe whether someone is following a rule, based on the rules of a particular language-game. Thus, correct language usage is an objective part of the reality of our lives. This is true even though minds are a necessary component of language.
Now let us consider the statement, "...x justifies the claim that P is not an objective fact." Logic is a language, and logic is based on the rules that define how we justify arguments. The rules that define how this is done is not based on any one person's idea of how or what it means to justify an argument (it is not subjectively defined). The rules of logic are objective, that is, mind-independent in that they are part of the reality of language use. We can objectively observe whether or not you are following the rules of logic.
There are two aspects of mind-dependence that we have to be clear about. It is true that language is mind-dependent, but this does not take away from the fact that language, although created by minds, has an objective reality that is independent of any one mind. The creation of cars is dependent on minds, but once the car is created, it is an objective fact of reality, and the fact is independent of a mind/s. There is a lot more to this idea, and it is not simple to understand. Unfortunately I will not be able to work out all the details of this in a few short paragraphs.
My point though, is that it is an objective fact of logic, that arguments are justified in particular ways. Thus, I would dispute the idea that "...x justifies the claim that P is not an objective fact." And while it is true that propositions reflect truth, it is also true that the way propositions are used, can reflect objective facts about their use in language.
I cannot believe that you think there is no knowledge that is objective knowledge. This is a misunderstanding of knowledge, and the meaning of knowledge. There are tons of examples of objective knowledge. I do not feel I have to even defend this, because it is so obviously false, for more reasons than I can count.
Of course beliefs are mind-dependent, but so what, that does not mean that beliefs cannot reflect or mirror objective reality. Stated beliefs do occur independently of minds, they occur in language, which although created by minds, has an objective component as part of the reality of language. There are beliefs that are nonlinguistic, but this is outside our epistemological language-games.
Where in the world did you get this epistemology from? It would takes months of writing to unravel so many confusions. It did make me think of some new ideas though.