What is the difference faith and hope?
Faith in Christianity
In one sense, faith in Christianity is often discussed in terms of believing God's promises, trusting in his faithfulness, and relying on God's character and faithfulness to act. Some of the definitions in the history of Christian theology have followed the biblical formulation in : "the assurance of things hoped for, the conviction of things not seen".[1] As in other Abrahamic religions, it includes a belief in the existence of God, in the reality of a transcendent domain that God administers as his kingdom and in the benevolence of the will of God or God's plan for humankind.
Conditional preservation of the saints
And there is nothing superficial in what the New Testament calls faith . . . it is [man's] absolute committal of himself for ever to the sin-bearing love of God for salvation. It is not simply the act of an instant, "it is the attitude of a life"; it is the one right thing at the moment when a man abandons himself to Christ, and it is the one thing which keeps him right with God for ever. . . . Grace is the attitude of God to man which is revealed and made sure in Christ, and the only way in which it becomes effective in us for new life is when it wins [from] us the response of faith. And just as grace is the whole attitude of God in Christ to sinful men, so faith is the whole attitude of the sinful soul as it surrenders itself to that grace. Whether we call it the life of the justified, or the life of the reconciled, or the life of the regenerate, or the life of grace or of love, the new life is the life of faith and nothing else. To maintain the original attitude of welcoming God's love as it is revealed in Christ bearing our sins—not only to trust it, but "to go on trusting"—not merely to believe in it as a mode of transition from the old to the new, but "to keep on believing"—to say with every breath we draw, "Thou, O Christ, art all I want; more than all in Thee I find"—is not a part of the Christian life, but the whole of it.
The non-traditional Calvinist or Free Grace view disagrees with Traditional Calvinists and Arminians in holding that saving faith in Christ "must" continue in order for a person to remain in their saving relationship with God. For example, Zane Hodges says: "... We miss the point to insist that true saving faith must necessarily continue. Of course, our faith in Christ should continue. But the claim that it absolutely must ... has no support at all in the Bible" Joseph Dillow writes:
Even though Robert Shank would not agree, it is definitely true that saving faith is "the act of a single moment whereby all the benefits of Christ's life, death, and resurrection suddenly become the irrevocable possession of the individual, per se, despite any and all eventualities."
Any and all eventualities would include apostasy—falling away or walking away from the Christian faith and to "cease believing." What a Christian forfeits when he falls away is not his saving relationship with God but the opportunity to reign with Christ in his coming kingdom.