For walking in flesh, we do not war according to flesh.

for walking in the flesh, not according to the flesh do we war,

For, though we are still living in the world, it is no worldly warfare that we are waging.

For though we may be living in the flesh, we are not fighting after the way of the flesh

For though we walk in the flesh, we do not battle according to the flesh.

For, though we live an earthly life, we do not wage an earthly war.

For though we walk in the flesh. Walking in the flesh means here -- living it the world; or, as he expresses it elsewhere, being at home in the body. (2-Corinthians 5:6.) For he was shut up in the prison of his body. This, however, did not prevent the influence of the Holy Spirit from showing itself marvelously in his weakness. There is here again a kind of concession, which, at the same time, is of no service to his adversaries. Those war according to the flesh, who attempt nothing but in dependence upon worldly resources, in which alone, too, they glory. They have not their confidence placed in the government and guidance of the Holy Spirit. Paul declares that he is not one of this class, inasmuch as he is furnished with other weapons than those of the flesh and the world. Now, what he affirms respecting himself is applicable, also, to all true ministers of Christ. [1] For they carry an inestimable treasure in earthen vessels, as he had previously said. (2-Corinthians 4:7.) Hence, however they may be surrounded with the infirmities of the flesh, the spiritual power of God, nevertheless, shines forth resplendently in them.

Footnotes

1 - "Tous vrais seruiteurs et ministres de Jesus Christ;" -- "All true servants and ministers of Jesus Christ."

For though we walk in the flesh - Though we are mortal like other people; though we dwell like them in mortal bodies, and necessarily must devote some care to our temporal needs; and though, being in the flesh, we are conscious of imperfections and frailties like others. The sense is, that he did not claim exemption from the common needs and frailties of nature. The best of people are subject to these needs and frailties; the best of people are liable to err.
We do not war after the flesh - The warfare in which he was engaged was with sin, idolatry, and all forms of evil. He means that in conducting this he was not actuated by worldly views or policy, or by such ambitious and interested aims as controlled the people of this world. This refers primarily to the warfare in which Paul was himself engaged as an apostle; and the idea is, that he went forth as a soldier under the great Captain of his salvation to fight his battles and to make conquests for him. A similar allusion occurs in 2-Timothy 2:3-4. It is true, however, that not only all ministers, but all Christians are engaged in a warfare; and it is equally true that they do not maintain their conflict "after the flesh," or on the principles which govern the people of this world. The warfare of Christians relates to the following points:
(1) It is a warfare with the corrupt desires and sensual propensities of the heart; with eternal corruption and depravity, with the remaining unsubdued propensities of a fallen nature.
(2) with the powers of darkness; the mighty spirits of evil that seek to destroy us; see Ephesians 6:11-17.
(3) with sin in all forms; with idolatry, sensuality, corruption, intemperance, profaneness, wherever they may exist. The Christian is opposed to all these, and it is the aim and purpose of his life as far as he may be able to resist and subdue them. He is a soldier enlisted under the banner of the Redeemer to oppose and resist all forms of evil. But his warfare is not conducted on worldly principles. Muhammed propagated his religion with the sword; and the people of this world seek for victory by arms and violence; The Christian looks for his conquests only by the force and the power of truth, and by the agency of the Spirit of God.

Though we walk in the flesh - That is: Although I am in the common condition of human nature, and must live as a human being, yet I do not war after the flesh - I do not act the coward or the poltroon, as they insinuate. I have a good cause, a good captain, strength at will, and courage at hand. I neither fear them nor their master.

(2) For though we walk in the flesh, we do not war after the flesh:
(2) Secondly, he witnesses that although he is similar to other men, yet he comes furnished with that strength which no defence of man can match, whether they resist by craft and deceit, or by force and might, because he battles with divine weapons.

For though we walk in the flesh,.... The apostle removes the calumny of walking after the flesh, by owning that they were in the flesh, in the body, in a state of imperfection, attended with many weaknesses and infirmities, and surrounded with a variety of afflictions and sorrows; in this sense they were, and lived and walked in the flesh; but then he denies the charge exhibited against them,
we do not war after the flesh: every Christian's life is a warfare with Satan, and his principalities and powers, with the world, the men and lusts of it, and with the corruptions of their own hearts; and much more is the life of a minister of the Gospel, who is called forth to meet the adversary in the gate; to stand in the hottest place of the battle, and sustain the whole fire and artillery of the enemy; to fight the good fight of faith, endure hardness as a good soldier of Christ, and with the weapons he is furnished with to war a good warfare: which is not done "after the flesh"; in such a manner as the men of the world wage war with one another; or upon carnal principles; or with carnal selfish views; or in a weak way and manner; but in a spiritual way, with all simplicity and disinterested views, with great courage and intrepidity of mind.

For--Reason why they should regard him "beseeching" them (2-Corinthians 10:2) not to oblige him to have recourse to "bold" and stern exercise of authority. "We walk IN the flesh," and so in weakness: but not "ACCORDING TO the flesh" (2-Corinthians 10:2). Moreover, though we WALK in it, we do not WAR according to it. A double contrast or antithesis. "They who accuse us of walking after the flesh, shall find [to their cost] that we do not war after the flesh; therefore compel us not to use our weapons" [ALFORD].

We walk in the flesh. He is in the body, but though in the flesh does not use fleshly weapons in his warfare.
For the weapons of our warfare. Since these were not carnal, the might was not in human strength, but in God who gave them power to overcome the strongholds of sin.
Casting down imaginations. The sophistries of philosophy. By these weapons the soul is rescued, delivered, and brought to the obedience of Christ.
To revenge all disobedience. These spiritual weapons are ready to punish all disobedience at Corinth, when time had been given for all who are disposed to be obedient to show it.

Though we walk in the flesh - In mortal bodies, and, consequently, are not free from human weakness. Yet we do not war - Against the world and the devil. After the flesh - By any carnal or worldly methods. Though the apostle here, and in several other parts of this epistle, speaks in the plural number, for the sake of modesty and decency, yet he principally means himself. On him were these reflections thrown, and it is his own authority which he is vindicating.