Reconciliation of the world by Christ to God.
To those who hold a view of some limitation on the work of reconciliation of Christ to God are by ignorance denying who Christ is and what He accomplished for mankind. The doctrine of the Incarnation as understood in scripture is a direct denial of any kind of limited atonement.
Scripture says that man was created from the earth. That makes man consubstantial with creation. At the fall of man, scripture states that mankind and the world was subjected to death, dust to dust. Gen 3:19, Rom 8:20. Scripture also states that Christ was Incarnated by the Holy Spirit and the Virgin Mary. Meaning Christ became man, took on our human nature as His own. Scripture also states that Christ took on our human nature so that He could defeat Satan who held the power of death over His creation, Heb 2:14-16.
In Rom 5:12 scripture states that death spread of all men. All men would die. This death was a permanent death, man lost life. That is he lost an eternal existence, man and the world would return to dust.
God in His mercy permitted death to reign because He also knew that the solution to death would be Christ, His Son would come into this world, become consubstantial with His creation and become man by assuming the very same human nature as every single human being.
We have this concept substantiated by scripture in Rom 5:18, I Cor 15:21-22, Heb 2:9, Col 1:20, II Cor 15:18-19, II Tim 1:10. There is an equal correlation between what happen to mankind and the nature he bore, at the fall, death, and what Christ accomplished by His resurrection, bearing the same human nature raising it to life, an eternal existence.
That is why a limited atonement is a scriptural impossibility and a direct denial of who Jesus is and how He accomplished the salvation of the world from the bondage of death. John 4:42, I John 4:14. It is also an direct denial of the resurrection all mankind at the end of time. I Cor 15:53-54, Rev 20:12-13. It actually denies any eternal existence. If Christ did not raise all the dead, then any faith we might have is all in vain. This is what Paul also states in I Cor 15:12-19. Paul thought it so important that he states it twice to make sure the reader understood clearly.
Life on this earth would be meaningless, empty, in vain. We would all die permanently, body and soul, return to dust.