Limited Atonement, Definite Redemption
Since it is God’s purpose to save a special people for Himself, and He has chosen to do so only through the perfect sacrifice of Jesus Christ, Christ came to give His life “a ransom for many” so as to “save His people from their sins” (Matthew 1:21). The intention of Christ in His cross-work was to save His people specifically. Therefore, Christ’s sacrifice is perfect and complete, for it actually accomplishes perfect redemption.
Christ’s redeeming work was intended to save the elect only and actually secured salvation for them. His death was a substitutionary endurance of the penalty of sin in the place of certain specified sinners. In addition to putting away the sins of His people, Christ’s redemption secured everything necessary for their salvation, including faith, which unites them to Him. The gift of faith is infallibly applied by the Spirit to all for whom Christ died, thereby guaranteeing their salvation.
For a defense of this doctrine see here.
Penal substitutionary atonement refers to the doctrine that Christ died on the cross as a substitute for sinners. God imputed the guilt of our sins to Christ, and he, in our place, bore the punishment that we deserve. This was a full payment for sins, which satisfied both the wrath and the righteousness of God, so that He could forgive sinners without compromising His own holy standard.
Isa 53:6 All we like sheep have gone astray; we have turned—every one—to his own way; and the LORD has laid on him the iniquity of us all.
Isa 53:12 Therefore I will divide him a portion with the many, and he shall divide the spoil with the strong, because he poured out his soul to death and was numbered with the transgressors; yet he bore the sin of many, and makes intercession for the transgressors.
Rom 3:21-25 But now the righteousness of God has been manifested apart from the law, although the Law and the Prophets bear witness to it— 22 the righteousness of God through faith in Jesus Christ for all who believe. For there is no distinction: 23 for all have sinned and fall short of the glory of God, 24 and are justified by his grace as a gift, through the redemption that is in Christ Jesus, 25 whom God put forward as a propitiation by his blood, to be received by faith. This was to show God's righteousness, because in his divine forbearance he had passed over former sins.
2Cor 5:21 For our sake he made him to be sin who knew no sin, so that in him we might become the righteousness of God.
Gal 3:13-14 Christ redeemed us from the curse of the law by becoming a curse for us—for it is written, “Cursed is everyone who is hanged on a tree”— 14 so that in Christ Jesus the blessing of Abraham might come to the Gentiles, so that we might receive the promised Spirit through faith.
Heb 9:25-28 Nor was it to offer himself repeatedly, as the high priest enters the holy places every year with blood not his own, 26 for then he would have had to suffer repeatedly since the foundation of the world. But as it is, he has appeared once for all at the end of the ages to put away sin by the sacrifice of himself. 27 And just as it is appointed for man to die once, and after that comes judgment, 28 so Christ, having been offered once to bear the sins of many, will appear a second time, not to deal with sin but to save those who are eagerly waiting for him.
Heb 13:11-12 For the bodies of those animals whose blood is brought into the holy places by the high priest as a sacrifice for sin are burned outside the camp. 12 So Jesus also suffered outside the gate in order to sanctify the people through his own blood.
1Pet 2:24 He himself bore our sins in his body on the tree, that we might die to sin and live to righteousness. By his wounds you have been healed.
1Pet 3:18-20 For Christ also suffered once for sins, the righteous for the unrighteous, that he might bring us to God, being put to death in the flesh but made alive in the spirit, 19 in which he went and proclaimed to the spirits in prison, 20 because they formerly did not obey, when God's patience waited in the days of Noah, while the ark was being prepared, in which a few, that is, eight persons, were brought safely through water.
1Jn 2:1-2 My little children, I am writing these things to you so that you may not sin. But if anyone does sin, we have an advocate with the Father, Jesus Christ the righteous. 2 He is the propitiation for our sins, and not for ours only but also for the sins of the whole world.
1Jn 4:10 In this is love, not that we have loved God but that he loved us and sent his Son to be the propitiation for our sins.
Jn 3:16 For God so loved the world, that he gave his only Son, that whoever believes in him should not perish but have eternal life.
Jn 10:14-18 I am the good shepherd. I know my own and my own know me, 15 just as the Father knows me and I know the Father; and I lay down my life for the sheep. 16 And I have other sheep that are not of this fold. I must bring them also, and they will listen to my voice. So there will be one flock, one shepherd. 17 For this reason the Father loves me, because I lay down my life that I may take it up again. 18 No one takes it from me, but I lay it down of my own accord. I have authority to lay it down, and I have authority to take it up again. This charge I have received from my Father.”
Jn 11:49-52 But one of them, Caiaphas, who was high priest that year, said to them, “You know nothing at all. 50 Nor do you understand that it is better for you that one man should die for the people, not that the whole nation should perish.” 51 He did not say this of his own accord, but being high priest that year he prophesied that Jesus would die for the nation, 52 and not for the nation only, but also to gather into one the children of God who are scattered abroad.
Jn 17:1-2 When Jesus had spoken these words, he lifted up his eyes to heaven, and said, “Father, the hour has come; glorify your Son that the Son may glorify you, 2 since you have given him authority over all flesh, to give eternal life to all whom you have given him.
Jn 17:6-10 “I have manifested your name to the people whom you gave me out of the world. Yours they were, and you gave them to me, and they have kept your word. 7 Now they know that everything that you have given me is from you. 8 For I have given them the words that you gave me, and they have received them and have come to know in truth that I came from you; and they have believed that you sent me. 9 I am praying for them. I am not praying for the world but for those whom you have given me, for they are yours. 10 All mine are yours, and yours are mine, and I am glorified in them.
Jn 17:19-21 And for their sake I consecrate myself, that they also may be sanctified in truth. 20 “I do not ask for these only, but also for those who will believe in me through their word, 21 that they may all be one, just as you, Father, are in me, and I in you, that they also may be in us, so that the world may believe that you have sent me.
John 17:24-26 Father, I desire that they also, whom you have given me, may be with me where I am, to see my glory that you have given me because you loved me before the foundation of the world. 25 O righteous Father, even though the world does not know you, I know you, and these know that you have sent me. 26 I made known to them your name, and I will continue to make it known, that the love with which you have loved me may be in them, and I in them.”
Lk 22:19-20 And he took bread, and when he had given thanks, he broke it and gave it to them, saying, “This is my body, which is given for you. Do this in remembrance of me.” 20 And likewise the cup after they had eaten, saying, “This cup that is poured out for you is the new covenant in my blood.
Rom 8:31-34 What then shall we say to these things? If God is for us, who can be against us? 32 He who did not spare his own Son but gave him up for us all, how will he not also with him graciously give us all things? 33 Who shall bring any charge against God's elect? It is God who justifies. 34 Who is to condemn? Christ Jesus is the one who died—more than that, who was raised— who is at the right hand of God, who indeed is interceding for us.
Eph 5:25-27 Husbands, love your wives, as Christ loved the church and gave himself up for her, 26 that he might sanctify her, having cleansed her by the washing of water with the word, 27 so that he might present the church to himself in splendor, without spot or wrinkle or any such thing, that she might be holy and without blemish.
1Cor 15:3-5 For I delivered to you as of first importance what I also received: that Christ died for our sins in accordance with the Scriptures, 4 that he was buried, that he was raised on the thi...