Yes Paul clearly taught us how to walk. He taught us to walk in and by faith not by sight. Walking by faith is not keeping a set of rules it is simply looking to the complete and finished work of Christ.
Titus 2:14 who gave himself for us to redeem us from all lawlessness and to purify for himself a people for his own possession who are zealous for good works.
This is the finished work of Christ. It involves Christ giving himself to redeem us from all Lawlessness, but also to purify for himself a people of his own possession who are zealous for doing good works, and God's Law is His instructions for how to do good works (2 Timothy 3:16-17). Faith in God is straightforwardly about trusting God to guide us in how to rightly live through living in obedience to His commands, for the righteous shall live by faith (Habakkuk 2:4). Every example of saving faith listed in Hebrews 11 is also an example of obedience to God's commands, so living by faith has never referred to living in some other manner than does not seek to obey God's commands. In Deuteronomy 6:24 and Deuteronomy 10:13, God said that what He commanded was for His people's own good, so those who believe what God said live by faith by living in obedience to His commands, and it is through doing this that we are putting faith in the finished work of Christ.
No one is promoting sin because we are justified. That would be ridiculous. What I am saying is that we must recognize that everything we do is mixed with sin and that we can no more act righteously in ourselves than we can save ourselves I am simply pointing out that faith looks to Christ not to self in any sense. Faith rests in what He has done in every moment not what we think we ought to be doing. Faith is to be free from both the penalty of sin and the fear of God's wrath because of it. God does chastize His own to be sure but He can never again punish them for their sin.
You don't think that we should have faith in Christ to guide us in what we ought to be doing? There is no condemnation for those who are in Christ (Romans 8:1), but though who are in Christ out to walk in the same way that he walked, which was in obedience to the Mosaic Law (1 John 2:6).
Not according to the inspired writings of Paul. He clearly tells us in Gal. that the law was our schoolmaster to bring us to Christ.
Having no more need for a schoolmaster is not at all the same thing as having no more need for what the schoolmaster taught us. Now that Christ as come, we have a superior teacher, but the subject matter is still about instructing us how to act according to God's holiness, righteousness, and goodness. We can now rely on his teachings and his example of obedience to God's Law to guide us in how to serve God and walk in His ways. We also now have the Spirit, who has the role of leading us in obedience to God's Law (Ezekiel 36:26-27).
The purpose of the law was never to teach us how to live but to reveal that we could't live up to its standards. That is why we must have Christ. The law drives us to Christ because we cannot meet its high and holy standard. I suspect that I have even a higher view of the law than you do. I grasp that the law is far too high for me and I can in no way live up to it. That is why I must have Christ who could and did in my place.
What the Lord was teaching, especially in the Sermon on the Mount, was the true nature of the law and our inability to meet its high standard.
The Law is holy, righteous, and good (Romans 7:12) because it instructs us how to live according to God's holiness, righteousness, and goodness. For example, we are told in 1 Peter 1:13-16 to have a holy conduct for God is holy, so following God's instructions for how to do that is about teaching us by grace to act according to God's holiness, and the same goes for God's righteousness, goodness, and other fruits of the Spirit (Exodus 34:6-7). In Matthew 23:23, Jesus said that justice, mercy, and faith are the weightier matters of the Law, so again the Law is about teaching us by grace how to reflect these attributes of God to the world.
While it is true that our failure to follow God's good instructions highlights that we can't live up to God's standard, the problem is with us, not with God's righteous standard, so the solution is not to do away with God's righteous standard, but to free us from the law of sin so that we can be free to obey God's Law that we might meet its righteous requirement (Romans 8:3-4). Our sanctification is about being made to be like Christ, who always did what was holy, righteous, and good in accordance to God's Law. Jesus summarized the Law as being about how to love God and our neighbor (Matthew 22:36-40), so saying that he met the requirement of obeying the law in our place is like saying that he loved God and our neighbor so that we don't have to, but rather he did so in part so that we would have an example to follow, which we are told to follow (1 Peter 2:21-22).
