John Chrysostom
Having shown the reward of the spiritual life, which makes Christ dwell in us, gives life to dead bodies, gives wings toward heaven, and makes the path of virtue easier, the Apostle then necessarily offers an exhortation. He says, therefore, that we ought not live according to the flesh.
Yet he did not speak in this way, but much more expressively and forcefully. He says that we are debtors to the Spirit. He indicated precisely this by the words, 'we are debtors, not to the flesh.' Everywhere he unfolds this, proving that everything God has done for us was not by debt, but by grace alone. Everything that comes afterward from us is not a gift, but a debt.
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He hints at this when he says, 'You were bought with a price; do not become slaves of men' (1 Cor 7:23). He shows the same when he writes, 'You are not your own' (1 Cor 6:19). He also mentions the same elsewhere, saying, 'If One died for all, then all died,' and, 'He died for all, that those who live should no longer live for themselves' (2 Cor 5:14-15). He confirms the same here with the words, 'we are debtors.'
Then, because he said, 'we are debtors, not to the flesh,' lest you again refer this to the substance of the flesh, he did not stop there. He added, 'to live according to the flesh.' We must do much even for the flesh: feed it, warm it, give it rest, treat it when sick, clothe it, and render it many other services.
Therefore, lest you think the Apostle forbids such service to the flesh, after saying, 'we are debtors, not to the flesh,' he explains this by saying, 'to live according to the flesh.' He says, I forbid having that care for the flesh which leads to sin. On the other hand, I want there to be care even for it, as he later explained.
For after saying, 'Make no provision for the flesh' (Rom 13:14), he did not stop there, but added, 'for its lusts.' He teaches the same here, saying, Let the flesh also be an object of care, since we owe it this. Yet, of course, we shall not live according to the flesh, that is, we shall not make it mistress of our life. It must follow behind, not go ahead. It must not govern our life, but receive the laws of the Spirit.