Then those who believed in Christ entered the inheritance of the promise as true children of Abraham and children of God. Those who did not believe were estranged from Him.
Our interpreters directly see in these words, and in those that follow, an indication of what takes place in Christ Jesus our Lord.
St. Chrysostom says: "The meaning of these words of the Apostle is this: those born according to the pattern of Isaac are the children of God and the seed of Abraham. For this reason it was said, 'In Isaac shall your seed be called.' How, then, was Isaac born? Not according to the law of nature or by the power of the flesh, but by the power of the promise."
That is, by the action of God's power, as we also are born in the font. See blessed Theophylact.
Blessed Theodoret writes directly: "By children of the flesh the Apostle means those born according to the natural order. By children of the promise he means those who have been made sons by grace."
Ambrosiaster also explains this as follows: "The Apostle gives us to understand that not all are already worthy simply because they are sons of Abraham, but only those who are sons of the promise. That is, those whom God foreknew would receive the promise, whether from the Jews or from the Gentiles.
Only those are worthy to be called Israelites, that is, those who behold God, who believe. If one understands bodily and simply, 'In Isaac shall your seed be called,' then all Jews are sons of Abraham, because their whole race comes from Abraham through Isaac.
But since, as I have said, only those who inherit what was given in Isaac are truly sons of Abraham, it is clear that the others, who do not inherit this promise, should not be counted sons of Abraham.
Abraham, as a believer, received Isaac, and in him the promise, because 'he believed God' (cf. Rom 4:3). In this the mystery of future faith was prefigured, so that those would be Isaac's brothers who would possess the same faith by which Isaac was born.
Isaac was born according to the promise as a figure of the Savior. Thus the one who believes in Christ Jesus, promised to Abraham, is a son of Abraham and a brother of Isaac.
It was said to Abraham: 'In your seed all the nations shall be blessed' (cf. Gen 22:18). This was not fulfilled in Isaac, but in Him Who was promised to Abraham in Isaac, that is, in Christ, in Whom all believing nations are blessed.
Therefore it is clear that the other Jews, the unbelieving ones, are sons of the flesh. They are deprived of the promise and should not be counted in Abraham's seed, since they do not follow the faith by which Abraham appeared worthy of the promise.
Therefore the Apostle added: 'That is, the children of the flesh are not the children of God, but the children of the promise are counted as seed.' Can children of the flesh be children of God? The former are born of fleshly desire. The latter are born through faith by the Spirit.
Only those should be counted in Abraham's seed who believe."
Let us add from blessed Theophylact: "Therefore the word of God did not fail. God granted what was promised to the true seed, that is, to the believers from the Gentiles, who became children of God, as Isaac also did, because they too are from the promise.
If the Jews say that the words, 'In Isaac shall your seed be called,' mean that those born from Isaac are counted as Abraham's seed, then the Edomites and all who came from him must be regarded as Abraham's seed. Their forefather Esau was Isaac's son.
Yet the Edomites are not only not called sons of Abraham, but are even very foreign to the Israelites and are called aliens."
Thus our interpreters see in the Apostle's quoted words a foreshadowing of what, in the proper sense, has already been fulfilled in Christ Jesus, among those who believe in Him. Yet this is tangibly seen by them in the words that follow.