Things like objectivity (see also Ethics; Reason; Semantics; Historiography; Philosophy of Math etc.) and subjectivity are potent, ultra-high-level abstractions that remain highly ambiguous until meanings are made more explicit in particular contexts of application. Objectivity and subjectivity are constituted through very involved processes, and their real meaning is about the detailed working out of particular cases.
Objects generically are abstract referential placeholders at which we can figuratively “point”. What is really of interest with objects, though, is not this susceptibility to being pointed at, but their implicit content, which can be elicited in particular cases by developing the context in which the pointing occurs (see Substance; Material Inference). The implicit content of objects is made progressively more objective through such development.
Such a development of the objectivity of objects eventually entails not only a movement toward unity of apperception, but (since objectivity with regard to content concerns shareable content), engagement with a larger, ongoing movement of mutual recognition among talking animals across history. (See also Truth, Beauty.)