Whether the New Law is a written law?

Objections

Objection 1 : It would seem that the New Law is a written law. For the New Law is just the same as the Gospel. But the Gospel is set forth in writing, according to Jn. 20:31: "But these are written that you may believe." Therefore the New Law is a written law.
Objection 2 : Further, the law that is instilled in the heart is the natural law, according to Rm. 2:14,15: "(The Gentiles) do by nature those things that are of the law . . . who have [Vulg.: 'show'] the work of the law written in their hearts." If therefore the law of the Gospel were instilled in our hearts, it would not be distinct from the law of nature.
Objection 3 : Further, the law of the Gospel is proper to those who are in the state of the New Testament. But the law that is instilled in the heart is common to those who are in the New Testament and to those who are in the Old Testament: for it is written (Wis. 7:27) that Divine Wisdom "through nations conveyeth herself into holy souls, she maketh the friends of God and prophets." Therefore the New Law is not instilled in our hearts.