Definite atonement is also called particular redemption and specific atonement. One theologian of the past helpfully asked, “When Jesus died, did he have a specific people in mind?” We think the Bible answers “Yes.” In other words, God didn’t merely “provide” salvation; he sent Jesus to die for the elect. Below are some other details by another pastor-theologian to help us think biblically:

‘It is important. Sometimes it is called “limited” atonement, which is an unfortunate designation, because it seems to minimize or diminish the work of the atonement. In fact, what we are arguing for is not something less than others believe but for something more. This what I mean: The Bible speaks about God loving the world (John 3:16). And he speaks about Christ being “the Savior of all people, especially of those who believe” (1 Timothy 4:10).’

-Piper

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(GSiV: GSiV Resource Page; No Free Will: Bondage; The human will in bondage to sin; Traditionalism/Provisionism; ĐỨC CHÚA TRỜI VÀ SỰ CỨU RỖI: Tín Lý Về Ân Điển Quyền Năng (Gi. 3:16); How do we stop loving the darkness?; How the gospel works–election; A God who can’t be stopped; Provisionism: Did God save people or just provide salvation?; If the saved need God to will for them, how much more the lost; Original Sin & Total Depravity series–part 3; If Calvinism is true…part 3;; Praising God’s purpose and plan: to get glory (Eph 1:5-14); TULIP: Possible translations in Vietnamese; Election; Atonement; Piper; Eternal security; Salvation; Evangelism and Calvinism; TULIP; A great brief summary of Calvinism (in English))