Don Carson summarizes an analysis by Greg Gilbert* on the different ways the New Testament writers use the word gospel:
This corresponds to two types of believers who gravitate toward these different foci of the gospel:
In Gilbert's analysis, one group of believers, whom he designates Group A, rightly argues that "the gospel is the good news that God is reconciling sinners to himself through the substitutionary death of Jesus." [editor's note "substitutionary death" is a false, pagan concept, see Atonement and see Penal Substitution Theory of Atonement].
A second group of believers, whom Gilbert designates Group B, rightly argues that "the gospel is the good news that God is going to renew and remake the whole world through Christ."
These two groups, he says, tend to talk past one another:
When a Group A believer asks the question What is the gospel? and hears the answer provided by a Group B person, inevitably he or she feels the cross has been lost; when a Group B believer asks the question What is the gospel? and hears the answer provided by a Group A person, inevitably he or she feels the response is too individualistic, too constrained, not driven by the sweep of eschatological expectation and ultimate hope.
Carson insists that these are not two gospels but one gospel in two perspectives:
Gilbert's point is that although one can discern two foci in "gospel" texts - both having to do with the message of what God has done or is doing, but one more focused on Christ and his cross and how people are saved, the other taking in the broadest sweep of restoration in the new heaven and the new earth - these are not two separate and competing gospels, two distinguishable and complementary gospels. There is but one gospel of Jesus Christ.
The narrower focus draws you to Jesus - his incarnation, his death and resurrection, his session and reign - as that from which all the elements of what God is doing are drawn.
The broader focus sketches in the mighty dimensions of what Christ has secured.
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The author of this website disagrees slightly, and used this analysis only to help differentiate. Christ preached and told His disciples to preach the Kingdom, (the broader perspective, which included all parts of atonement as well as the narrower focus of salvation and also His death).
The narrow focus does NOT include the wider scope with its universal Kingdom and the other parts of the atonement. It ignores the broader focus and greatly minimizes Jesus' work, its universal results and its results in our lives.
The narrow focus (the Gospel of Salvation) deals only with the salvation of my soul and generally falsely teaches the value of the cross.
The Gospel of the Kingdom deals with all things, including not just salvation, but also the defeat of Satan, Yahweh regaining sovereignty on Earth, the implementation of His "Kingdom of Yahweh" with the resurrected Son on His throne, and the reconciliation of all things - including the material world that was lost in the fall.
Aside from all other arguments, and most importantly, the narrow focus does NOT fulfill the Savior's direct command and His "great commission" to "preach the ... Kingdom". Matthew 24.14, Matthew 10:7
(* taken from Chapter 8 "What is the Gospel? - Revisited" by D.A. Carson in the book "For the Fame of God's Name"