The Trinity is coherent

God is the ground of logic and therefore is not an object upon which the system operates. While God’s intellect encompasses our knowledge of formal logic, it also surpasses it.

In relation to the Trinity, then, while such norms apply to finite objects, there is no rule that states substantial equality must entail numerical identity—especially within the realm of metaphysical infinity.

Thus, the Father, the Son, and the Spirit are substantially equal but distinguished by their relations of origin.