A final summing up on this matter re: remnant Israel and the remnant of Edom.
You can refer to the two preceding posts.
1. Abram fathered Ishmael, the son born of slavery, conceived by the flesh, with Sarai's slave Hagar.
2. Abraham fathered Isaac, the son of promise conceived by the power of the Spirit, with Sarah after they had long passed the age of any hope.
3. Isaac fathered the fraternal twins Jacob and Esau. The Lord through His sovereign election places Jacob over Esau, since the gentile nations, (Babel), were dispersed throughout the earth first, so that God could call Abraham out of Babylon, and begin the work of salvation through the called out remnant. Genesis 12: 1-3; Jeremiah 51:6; Rev 18:4
4. Jacob becomes Israel, Esau is renamed Edom.
5. Paul tells us in Romans 9: 4-9; and 11:1-15; 25-26 that there is both a remnant of Israel, not born according to Ishmael, that is the flesh, but born again of the Spirit, from Isaac, the promise; and there is a fullness of the gentiles, i.e the remnant of Edom, Amos 9:11-12; Acts 15:1-19.
The rest of mankind both jew and gentile are described in Galatians 4:22-31 and Malachi 1:1-4
6. Therefore true Israel, both Hebrew and gentile, are the remnant of mankind, represented by Jacob/Israel and Esau/Edom. The remnant, whether jew or gentile, can only be those descended from Isaac. Roamans 4;16-25
All others fall under Ishmael, i.e. those in bondage to the Law and to the flesh, the Edomites and all other gentile/pagan nations. Romans 7:5-24 All nations are blessed because of Abram/Abraham; however not all are the remnant,i.e. the "called out" from the nations.
7. All of this is done by God's sovereign election of all that he foreknew, predestined, called, justified, and glorified. Romans 8: 29-30.
8. All of this is accomplished by, through, and in Jesus Christ. In Him God and man, earth and heaven, jew and gentile are reconciled. 2 Cor 5:18-21;Galatians 3:26-29; Colossians 1:15-22; Eph 2:11-22; Genesis 28:10-17; John 1:46-51.
1 There is therefore now no condemnation for those who are in Christ Jesus.
2 For the law of the Spirit of life has set you free in Christ Jesus from the law of sin and death.
3 For God has done what the law, weakened by the flesh, could not do. By sending his own Son in the likeness of sinful flesh and for sin, he condemned sin in the flesh,
4 in order that the righteous requirement of the law might be fulfilled in us, who walk not according to the flesh but according to the Spirit.
5 For those who live according to the flesh set their minds on the things of the flesh, but those who live according to the Spirit set their minds on the things of the Spirit.
6 For to set the mind on the flesh is death, but to set the mind on the Spirit is life and peace.
7 For the mind that is set on the flesh is hostile to God, for it does not submit to God's law; indeed, it cannot.
8 Those who are in the flesh cannot please God.
9 You, however, are not in the flesh but in the Spirit, if in fact the Spirit of God dwells in you. Anyone who does not have the Spirit of Christ does not belong to him.
10 But if Christ is in you, although the body is dead because of sin, the Spirit is life because of righteousness.
11 If the Spirit of him who raised Jesus from the dead dwells in you, he who raised Christ Jesus from the dead will also give life to your mortal bodies through his Spirit who dwells in you.
12 So then, brothers, we are debtors, not to the flesh, to live according to the flesh.
13 For if you live according to the flesh you will die, but if by the Spirit you put to death the deeds of the body, you will live.
14 For all who are led by the Spirit of God are sons of God.
15 For you did not receive the spirit of slavery to fall back into fear, but you have received the Spirit of adoption as sons, by whom we cry, "Abba! Father!"
16 The Spirit himself bears witness with our spirit that we are children of God,
17 and if children, then heirs--heirs of God and fellow heirs with Christ, provided we suffer with him in order that we may also be glorified with him
9 The true light, which enlightens everyone, was coming into the world.
10 He was in the world, and the world was made through him, yet the world did not know him.
11 He came to his own, and his own people did not receive him.
12 But to all who did receive him, who believed in his name, he gave the right to become children of God,
13 who were born, not of blood nor of the will of the flesh nor of the will of man, but of God.
14 And the Word became flesh and dwelt among us, and we have seen his glory, glory as of the only Son from the Father, full of grace and truth.
15 (John bore witness about him, and cried out, "This was he of whom I said, 'He who comes after me ranks before me, because he was before me.'")
16 And from his fullness we have all received, grace upon grace.
17 For the law was given through Moses; grace and truth came through Jesus Christ.
1 Now there was a man of the Pharisees named Nicodemus, a ruler of the Jews.
2 This man came to Jesus by night and said to him, "Rabbi, we know that you are a teacher come from God, for no one can do these signs that you do unless God is with him."
3 Jesus answered him, "Truly, truly, I say to you, unless one is born again he cannot see the kingdom of God."
4 Nicodemus said to him, "How can a man be born when he is old? Can he enter a second time into his mother's womb and be born?"
5 Jesus answered, "Truly, truly, I say to you, unless one is born of water and the Spirit, he
cannot enter the kingdom of God.
6 That which is born of the flesh is flesh, and that which is born of the Spirit is spirit.
7 Do not marvel that I said to you, 'You must be born again.'
8 The wind blows where it wishes, and you hear its sound, but you do not know where it comes from or where it goes. So it is with everyone who is born of the Spirit."
16 "For God so loved the world, that he gave his only Son, that whoever believes in him should not perish but have eternal life.
17 For God did not send his Son into the world to condemn the world, but in order that the world might be saved through him.
18 Whoever believes in him is not condemned, but whoever does not believe is condemned already, because he has not believed in the name of the only Son of God.
19 And this is the judgment: the light has come into the world, and people loved the darkness rather than the light because their works were evil.
22 What if God, desiring to show his wrath and to make known his power, has endured with much patience vessels of wrath prepared for destruction,
23 in order to make known the riches of his glory for vessels of mercy, which he has prepared beforehand for glory--
24 even us whom he has called, not from the Jews only but also from the Gentiles?
Soli Deo Gloria!