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Is existence a predicate?

We should not mistake the predicate of existence with the human proclamation of being here and now. “To be here” is a positive action of the subject, a hard one in fact, a kind of fight with the universal law narratives which deny anything human from the all too human perspective of a narrative of domination. But when we say that something exists, we are simply reifying a transcendental property which conditions us within an ideological frame.
A predicate is a determination of an object, its inscription within a particular (finite) frame of properties, physical (space-time, weight, etc.) or social (legal, aesthetical, etc.).
( (1)  Suppose that “exists” is a predicate, then to say that “a” exists is to say that “a belongs to a particular frame of properties”, say F1.
( (2)   F1 is a frame of properties, but not a frame which includes all properties, for there is not a single object “a” which can have all properties, so it could not belong to such frame. Thus, there are F1, F2,…Fn.
( (3)   Therefore, to say that “a exists” is to say that “a belongs to a frame which in turn belongs to a set of frames of properties”. From this, we can infer “F1 exists” (by (1)). Thus we can say that “a exits when it belongs to an existing frame”. This is an impredicative definition.
Thus, “exists” cannot be a predicate.

Formally:
‘a exists’ =.def a ∈ F1 , ∀ F1 ∈ (F1, F2,…Fn)
F1 ∈ (F1, F2,…Fn) ⟶ ‘F1 exists’
‘a exists’ =.def a ∈ ‘F1 exists’, impredicative definition
∴ ‘a exists’ cannot be a predicate


In fact, “exists” is what we are already saying in mathematics with the symbol εστί, ∈.  
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