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The phrase "a relation of being" is correct and usable in written English.
It can be used in philosophical or academic contexts to discuss the nature of existence or the connections between entities.
Example: "In metaphysics, we often explore a relation of being between the observer and the observed."
Alternatives: "a state of existence" or "a connection of existence".
Exact(3)
Is there a property of being a unicorn, a property of being a round square, or a relation of "being the reincarnation of"?
Rather than being an object among others, Dasein is a "relation of being" (Seinsverhältnis; Heidegger 1962 [1927]: 12)—a relation that obtains between what one is at any moment and what one can and will be as the temporally extended unfolding of life into a realm of possibilities.
Instead, human being is a "relation of being", a relation that obtains between what one is at any moment (the immediacy of the concrete present as it has evolved) and what one can and will be as the temporally extended unfolding or happening of life into an open realm of possibilities.
Similar(57)
Lewis counts the relation of being a man uniquely seen as an acquaintance relation.
For example, when R is the relation of being a parent, then RR is the relation of being a grandparent, and RRR is the relation of being a great-grandparent.
Many (but not all) axioms of modal logic can be obtained by setting the right values for the parameters in (G) For example, if R is the relation of being a brother, and R′ is the relation of being a parent then RR′ is the relation of being an uncle, (because w is the uncle of v iff for some person u, both w is the brother of u and u is the parent of v).
Think of Harry qua golden Labrador, i.e., under the counterpart relation of being a golden Labrador.
1154), in a discussion of Boethius's De hebdomadibus, suggests that creaturely goodness is a relation, indeed, just the relation of being created by God.
If she does so, then she indirectly ascribes the property of being hungry to Bill, under the relation of being a man uniquely seen.
Thus being married to someone is an internal relation of spouses; if a man is a husband then necessarily he stands in the relation of being married to someone else.
That some relation be a relation of determining correspondence is central to McTaggart's argument; unfortunately, what it is to be a relation of determining correspondence is one of the less clearer bits of McTaggart's metaphysics.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com