What commandment is most specifically involved in these verses? When are God's people commanded to assemble together? On the Sabbath day! Though it is not directly stated, the implication is strong that certain people, weak people, were separating themselves from the people of God—from the church of God; they were not assembling where God was assembling with His people on the Sabbath day.
He goes on to say that "there no longer remains a sacrifice for sins" because the sin becomes deliberate. It is a rejection of the sacrifice of Jesus Christ to break this commandment willfully (or any commandment, for that matter).
John W. Ritenbaugh
The Fourth Commandment (Part 1)
Stir up love means "to arouse to love." We have an obligation to do this because of both love and faith. We see it in two different contexts: In Hebrews 3:12-14, the subject is faith or belief. In Hebrews 10:23-25, the subject is love. In both cases, exhortation within our fellowship can increase either one or both of them.
The writer says that we have to confess our hope. Confess means "to make it known, to reveal." We must make our hope known. Undoubtedly, he means the great hope of the resurrection of the dead, but it is probably not limited only to that hope but includes other hopes that we have.
It is the accomplishment of these hopes that we are to exhort our brethren about: "Hang in there!" "Hold fast!" "Have you tried praying about that?" "Have you sought the advice or counsel of this person?" "Do you think it would help for you to do this or that thing?" "I had a problem like that one time." By doing this, we begin to pool our resources and experiences, and there is wisdom, God says, in a multitude of counselors. It cannot help but build people up, and our fellowship becomes stronger as we share one another's hopes and dreams.
John W. Ritenbaugh
Prayer and Fervency
Let us consider one another - Has there ever been a time in our calling when we need to excite one another for the work of God more than now? We all need to be motivated to "stand tall" in the Word of God. We ought to have great love for God's laws and each other. We should be performing the appropriate works attendant to our calling. In the greater church of God today, with its many differing attitudes, motivating to love and good works is very difficult to do.
Adam Clarke provides a paraphrase of Hebrews 10:24 that should help us to understand what Paul means:
Let us diligently and attentively consider each other's trials, difficulties, and weaknesses; feel for each other, and excite each other to an increase of love to God and man; and as proof of it, to be fruitful in good works.
In reality, this is just another way of saying, as Jesus did, "This is My commandment, that you love one another as I have loved you" (John 15:12). Such love manifests itself, not only in feeling for others in their troubles, but also in edifying and encouraging each other to do what is godly. In this way, we share our burdens.
John O. Reid (1930-2016)
The New Testament stresses that Christians need the fellowship of others of like mind. An identifying mark of the true church is that the members have love for one another (John 13:35). Indeed, one of the criteria by which Christ will judge us is how we treat our brethren in the church (Matthew 25:31-46). How can we love and serve one another if we do not fellowship with and get to know each other?
God has given us ample instruction regarding how we should relate to other Christians. It is His purpose to teach us how to get along with each other so we can teach others about these things in the Millennium. We are to be unselfish and concerned for the needs of others (Philippians 2:4). God wants us to learn patience and forgiveness (Colossians 3:13), striving to be "kindly affectionate," humble, and self-effacing in our dealings with one another (Romans 12:10). We should be giving and hospitable to our brethren (verse 13).
The New Testament is replete with various admonitions on how we should interact with our brothers and sisters in the church. Obviously, God views our interaction with other Christians as vital to our training to become members of the God Family and qualifying for a position in His Kingdom. He wants us to develop interpersonal skills that equip us to deal with occasional differences of opinion and offenses.
Our fellowship should be a source of encouragement to one another. We should use this time to show love to our brethren and to motivate them to perform acts of kindness and service for others. All of these exhortations show a clear need for us to be part of an organization of God's people. God's Sabbath service is like a weekly training school for Christians. The spiritual food that God's true ministers prepare for us is vitally important for our spiritual growth and development. In discussing the relationship of the ministry to the church member, Paul explains that the ministry is given
for the equipping of the saints for the work of ministry, for the edifying of the body of Christ, till we all come to the unity of the faith and the knowledge of the Son of God, to a perfect man, to the measure of the stature of the fullness of Christ. (Ephesians 4:12-13)
The interaction that we have with one another when we fellowship at church services helps us to develop the fruit of God's Spirit—love, joy, peace, longsuffering, kindness, goodness, faithfulness, gentleness, and self-control (Galatians 5:22-23). Paul shows that the church is truly Christ's body, and like the human body, each part depends upon the other parts.
Earl L. Henn (1934-1997)
For the Perfecting of the Saints
The first thing Paul lays out in this transition is a three-step trigger to prime the Hebrew Christians' latent memories so they will be armed with foundational incentives to rouse themselves spiritually and start moving forward. In verses 22-24, he makes three exhortations.
First, "let us draw near." In other words, get moving! He says, "Take advantage of this privilege of coming before God, and believe without doubting, knowing your sins are forgiven and remembering that God is faithful and merciful to forgive." Recall that in the performance of their duties, the priests had to wash their hands and feet before entering the holy place. This is why Paul mentions water. He is alluding to the Hebrews' need to become clean. He urges them to repent of their lackadaisical attitudes and to meet with their Maker in prayer.
Second, he commands them to "hold fast your profession." Paul uses a similar phrase five times before this. Apparently, lackadaisical drifting was a particularly common problem for them. He wants them to show by their conduct that they believe in what God has promised in the resurrection from the dead. In short, he advises, "Remember your conviction in the awesome hope of our calling." These people were allowing the world to get them down; they were succumbing to a "what's the use" resignation. They were not busy confirming their souls. Paul exhorts them to continue, to persevere in the grace God had already shown them, not wanting them to waste it by failing to look ahead and be persistent. He presses them to yield to God and to allow themselves to be reassured that He is faithful to His promises.
Pay special attention to the third exhortation in verse 24. The word "consider" is very emphatic. He urges them to think upon and to strive for unity by giving conscientious care to each other. He wants the Hebrews to give special attention to their brethren's circumstances, trials, temptations, weaknesses, and needs. They need to "fire each other up" to promote love for God and for each other and to carry out our common responsibilities. Christians do this by setting a good example, by occasional suitable exhortations, by acts of kindness, and by expressions of appreciation.
Notice that as this exhortation begins, Paul calls upon the "big three" Christian virtues: faith, hope, and love. These would form the foundation of what the Hebrews must do if they were to reverse their slide toward the Lake of Fire. These virtues must be implemented because they affect the quality of a person's relationship with God. Because a Christian has God's Spirit, these virtues are already part of him. However, each individual must himself choose to use them to turn his life around; no one can do this for another. Of course, it is understood that God is always there to help a person do this.
John W. Ritenbaugh
God's Power: Our Shield Against Apostasy