Frege's context principle and the predicate-argument distinction show that relational terms require a fundamentally different ontological status than objects, vindicating Bradley's intuition that relations cannot simply 'be' among their relata.
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Predicate-argument distinction(in formal logic and philosophy of language)
In logic, an 'argument' is the thing you're talking about (like 'Socrates'), and a 'predicate' is what you're saying about it (like 'is wise'). This distinction separates subjects from the properties or relations we assign to them.
Relata(in philosophy of relations)
The individual things that a relation connects—for example, in 'Alice loves Bob,' Alice and Bob are the relata (the things being related).
Relational terms(in philosophy of language and metaphysics)
Words or phrases that describe how two or more things connect or relate to each other, like 'is bigger than,' 'loves,' or 'is next to.'
context principle(Frege's methodological principle invoked to reframe how numbers can be epistemically accessible)
Words have meaning only in the context of a proposition, not in isolation