Галатам 3:11

by the law--Greek, "IN the law." Both in and by are included. The syllogism in this verse and Gal 3:12, is, according to Scripture, "The just shall live by faith." But the law is not of faith, but of doing, or works (that is, does not make faith, but works, the conditional ground of justifying). Therefore "in," or "by the law, no man is justified before God" (whatever the case may be before men, Rom 4:2) --not even if he could, which he cannot, keep the law, because the Scripture element and conditional mean of justification is faith. The just shall live by faith-- (Rom 1:17; Hab 2:4). Not as BENGEL and ALFORD, "He who is just by faith shall live." The Greek supports English Version. Also the contrast is between "live by faith" (namely, as the ground and source of his justification), and "live in them," namely, in his doings or works (Gal 3:12), as the conditional element wherein he is justified.

The apostle in this chapter, I. Reproves the Galatians for their folly, in suffering themselves to be drawn away from the faith of the gospel, and endeavours, from several considerations, to impress them with a sense of it. II. He proves the doctrine which he had reproved them for departing from - that of justification by faith without the works of the law, 1. From the example of Abraham's justification. 2. From the nature and tenour of the law. 3. From the express testimony of the Old Testament; and, 4. From the stability of the covenant of God with Abraham. Lest any should hereupon say, "Wherefore then serveth the law?" he answers, (1.) It was added because of transgressions. (2.) It was given to convince the world of the necessity of a Saviour. (3.) It was designed as a schoolmaster, to bring us to Christ. And then he concludes the chapter by acquainting us with the privilege of Christians under the gospel state.

3:11 So it is clear from Scripture, even if it was not clear to the Galatians or the false teachers who were insisting on circumcision for Gentile believers. • “It is through faith that a righteous person has life”: Paul quotes Hab 2:4, in which the prophet was waiting in faith for God’s promise to be fulfilled.