But he doesn't define "not bound" as being free to remarry. You do that for him, putting words in his mouth. He elsewhere says in essence Death alone breaks the marriage bond. Please note that divorce does not break the marriage bond. It only separates married couples from each other.
1 Corinthians 7:13-15
King James Version (KJV)
13 And the woman which hath an husband that believeth not, and if he be pleased to dwell with her, let her not leave him.
14 For the unbelieving husband is sanctified by the wife, and the unbelieving wife is sanctified by the husband: else were your children unclean; but now are they holy.
15 But if the unbelieving depart, let him depart. A brother or a sister is not under bondage in such cases: but God hath called us to peace.
What you are saying is a brother and sister is in bondage...to the Law.
What Paul is saying is that a brother and sister is not in bondage in such cases...period.
There is no way to work an "...except when they are bound by the Law" in there.
1 Corinthians 7:39
King James Version (KJV)
39 The wife is bound by the law as long as her husband liveth; but if her husband be dead, she is at liberty to be married to whom she will; only in the Lord.
The point here is that a wife is not free to leave a marriage just because she wants to. Paul makes that point in v.13.
You are nullifying Scripture in favor of another, when what we need to do is bring careful balance to all Scripture, so that there is no conflict.
That is what the Protestant/Catholic debate does, it pits Scripture against Scripture, thereby nullifying one in favor of another:
Romans 4:3, 5-6
King James Version (KJV)
3 For what saith the scripture? Abraham believed God, and it was counted unto him for righteousness.
5 But to him that worketh not, but believeth on him that justifieth the ungodly, his faith is counted for righteousness.
6 Even as David also describeth the blessedness of the man, unto whom God imputeth righteousness without works,
James 2:21-24
King James Version (KJV)
21 Was not Abraham our father justified by works, when he had offered Isaac his son upon the altar?
22 Seest thou how faith wrought with his works, and by works was faith made perfect?
23 And the scripture was fulfilled which saith, Abraham believed God, and it was imputed unto him for righteousness: and he was called the Friend of God.
24 Ye see then how that by works a man is justified, and not by faith only.
If you would read Romans 4 you would see that both Paul and James speak of the same justification, and the same works:
Romans 4:17-22
King James Version (KJV)
17 (As it is written, I have made thee a father of many nations,) before him whom he believed, even God, who quickeneth the dead, and calleth those things which be not as though they were.
18 Who against hope believed in hope, that he might become the father of many nations, according to that which was spoken, So shall thy seed be.
19 And being not weak in faith, he considered not his own body now dead, when he was about an hundred years old, neither yet the deadness of Sarah's womb:
20 He staggered not at the promise of God through unbelief; but was strong in faith, giving glory to God;
21 And being fully persuaded that, what he had promised, he was able also to perform.
22 And therefore it was imputed to him for righteousness.
Do you see how Abraham...believed the Gospel? And that the Gospel he understood was that he would be the father of many nations, and that is why...
...he was justified? Why his faith and belief was credited to him for faith?
That is precisely the same justification James is speaking about:
James 2:21
King James Version (KJV)
21 Was not Abraham our father justified by works, when he had offered Isaac his son upon the altar?
Hebrews 11:18-19
King James Version (KJV)
18 Of whom it was said, That in Isaac shall thy seed be called:
19 Accounting that God was able to raise him up, even from the dead; from whence also he received him in a figure.
He received Isaac up from the dead in figure because He was willing to slay Isaac, knowing that Isaac would be raised from the dead...
...so that the Promise of God (that in Isaac He would make of Abraham many nations) would be fulfilled.
That is the Gospel heard by Abraham:
Galatians 3:6-8
King James Version (KJV)
6 Even as Abraham believed God, and it was accounted to him for righteousness.
7 Know ye therefore that they which are of faith, the same are the children of Abraham.
8 And the scripture, foreseeing that God would justify the heathen through faith, preached before the gospel unto Abraham, saying, In thee shall all nations be blessed.
So back to pitting Scripture against Scripture, which is what you are doing, instead of interpreting Scripture with Scripture: James and Paul are not speaking of Justification through the Redemption which is in Christ Jesus.
They are speaking in the temporal sense, not in the eternal.
You do the same thing Catholics and Protestants (and pretty much everyone) do which is to misunderstand one text then apply that error to interpret another.
You cannot nullify Paul's statement...
1 Corinthians 7:13-15
King James Version (KJV)
13 And the woman which hath an husband that believeth not, and if he be pleased to dwell with her, let her not leave him.
14 For the unbelieving husband is sanctified by the wife, and the unbelieving wife is sanctified by the husband: else were your children unclean; but now are they holy.
15 But if the unbelieving depart, let him depart. A brother or a sister is not under bondage in such cases: but God hath called us to peace.
...with...
1 Corinthians 7:39
King James Version (KJV)
39 The wife is bound by the law as long as her husband liveth; but if her husband be dead, she is at liberty to be married to whom she will; only in the Lord.
God bless.