But no, I read your post #347, and no, I do not agree.
It was not the Law that was written in their hearts. Rather, the WORK of the Law of God.
Israel was merely made conscious of said WORK of the Law of God.
No, it is the law which is written in the heart:
"For when the Gentiles, which have not the law, do by nature the things contained in the law, these, having not the law, are a law unto themselves: Which shew the work of the law written in their hearts, their conscience also bearing witness" (Ro.2:14-15).
It is a man's conscience that gives him the knowledge of what is right and what is wrong and that knowledge is written in the heart of man. That is why Paul wrote that the Gentiles are a law unto themselves.
And this verse is certainly not talking about the law of Moses:
"for until law sin was in the world; but sin is not put to account when there is no law" (Ro.5:13).
Of course sin was put into man's account before the law of Moses came into existence. Here we can see that the Lord spoke of the "sin" committed by those of Sodom and Gomorrah and that happened before "the law" came into existence:
"And the LORD said, Because the cry of Sodom and Gomorrah is great, and because their sin is very grievous" (Gen.18:20).
The fate of these ungodly men who lived in those cities bears witness to the fact that their sins were indeed imputed into their account:
"Even as Sodom and Gomorrha, and the cities about them in like manner, giving themselves over to fornication, and going after strange flesh, are set forth for an example, suffering the vengeance of eternal fire" (Jude 7).
Even John Calvin understood that sin was indeed imputed to men before "the law" came into existence, writing that
"before the law iniquities were by God imputed to men is evident from the punishment of Cain, from the deluge by which the whole world was destroyed, from the fate of Sodom, and from the plagues inflicted on Pharaoh and Abimelech on account of Abraham, and also from the plagues brought on the Egyptians" (Calvin,
Commentary on Romans 5:13).
If you are going to understand what Paul was saying at Romans 5:12-13 then you must come to the understanding that when Paul used the word "law" at verse 13 he was referring to the law written on men's heart of which the conscience bears witness.