If existence is not a first-order predicate (Frege-Russell thesis), then identifying divine nature with divine existence is a category error that undermines the claim's coherence entirely.

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Category error(as used in logic and philosophy of language): A logical mistake where you apply a rule or concept to something it doesn't actually fit, like using a math formula on a poem.
Divine existence(the main topic being discussed): Whether God exists or not—a central question in philosophy of religion that people have debated for centuries.
First-order predicate(as contrasted with second-order predicates): A property or quality that describes individual objects directly. For example, 'red' or 'tall' are first-order predicates because they describe specific things you can point to.
Frege-Russell thesis(as used in metaphysics and logic): A theory proposed by two famous logicians (Gottlob Frege and Bertrand Russell) arguing that existence is *not* a simple property you can describe like other qualities—it's something different and more fundamental.

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