Why the Son Chiefly is Intimated in the Scriptures by the Name of Wisdom, While Both the Father and the Holy Spirit are Wisdom. That the Holy Spirit, Together with the Father and the Son, is One Wisdom
6 The Holy Spirit also, whether we are to call Him that absolute love which joins together Father and Son, and joins us also from beneath, that so that is not unfitly said which is written, “God is love;” how is He not also Himself wisdom, since He is light, because “God is light”? Or whether after any other way the essence of the Holy Spirit is to be singly and properly named; then, too, since He is God, He is certainly light; and since He is light, He is certainly wisdom.
But that the Holy Spirit is God, Scripture proclaims by the apostle, who says, “Do you not know that you are the temple of God?” and immediately subjoins, “And the Spirit of God dwells in you;” for God dwells in His own temple. For the Spirit of God does not dwell in the temple of God as a servant, since he says more plainly in another place, “Do you not know that your body is the temple of the Holy Ghost which is in you, and which you have of God, and you are not your own? For you are bought with a great price: therefore glorify God in your body.” But what is wisdom, except spiritual and unchangeable light?
For yonder sun also is light, but it is corporeal; and the spiritual creature also is light, but it is not unchangeable. Therefore the Father is light, the Son is light, and the Holy Spirit is light; but together not three lights, but one light. And so the Father is wisdom, the Son is wisdom, and the Holy Spirit is wisdom, and together not three wisdoms, but one wisdom: and because in the Trinity to be is the same as to be wise, the Father, Son, and Holy Spirit, are one essence. Neither in the Trinity is it one thing to be and another to be God; therefore the Father, Son, and Holy Spirit, are one God.
Source: On the Holy Trinity (New Advent)