Question: Does a premise based on subjectivity compromise a logical argument seeking to conclude with an objective conclusion/claim?
I've been thinking about Anselm's Ontological Argument for the Existence of God (Anselm: Ontological Argument for God’s Existence). The logical argument can be presented as follows:
P1: It is a conceptual truth (or, so to speak, true by definition) that God is a being than which none greater can be imagined (that is, the greatest possible being that can be imagined).
P2: God exists as an idea in the mind.
P3: A being that exists as an idea in the mind and in reality is, other things being equal, greater than a being that exists only as an idea in the mind.
P4: Thus, if God exists only as an idea in the mind, then we can imagine something that is greater than God (that is, a greatest possible being that does exist).
P5: But we cannot imagine something that is greater than God (for it is a contradiction to suppose that we can imagine a being greater than the greatest possible being that can be imagined.)
C1: Therefore, God exists.
I can't help but think that this argument makes God's existence dependent on human subjective thoughts. If this argument was applied before humans walked the Earth and there was no one to conceptualize the "greatest possible being," then, under this argument, did God not exist before humans were able to conceptualize him, and then later spring into existence when human's did conceptualize him? What if humans never existed at all? In that hypothetical world would this argument suggest that even if God created the Universe, he does not exist because rational beings have not conceptualized him? This seems to be a contradiction.
Regarding further subjectivity, I assume and would predict that most people have a different complete conception of the Greatest Being. Anselm fixed the definition (in my opinion to define his way to a conclusion), but if everyone has a different subjective belief as to what the Greatest Being is, could that imply that every different conception of the Greatest Being also exists, all at the same time?
Does this make the conclusion (the existence of God) subjective rather than objective? I am assuming (and believe) that most arguments on God's existence are aimed to be objective.
I will note that I do believe in God, but I believe the Ontological Argument is not a firm or logical foundation for one's belief in the objective existence of God.