From the very beginning, the Christian Tradition regarded those who had died as 'asleep in Christ', an idea from Our Lord Himself:
John 11:11-14:
"These things he said; and after that he said to them: Lazarus our friend sleepeth: but I go that I may awake him out of sleep. His disciples therefore said: Lord, if he sleep, he shall do well. But Jesus spoke of his death: and they thought that he spoke of the repose of sleep. Then therefore Jesus said to them plainly: Lazarus is dead."
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Does anyone suppose that the Infinite Mercy of God is such that he would inflict this journey through the Valley of Shadows upon His creature a second time ... did the father send the Prodigal Son away with the rebuke, "go back, and learn your lesson, and keep going back, until you get it right?" No. Did the shepherd find the lost sheep and say "stay lost, until you find your way home"?
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Irenaeus said:
"... For all things belong to God, who supplies all with a suitable dwelling-place; even as His Word says, that a share is allotted to all by the Father, according as each person is or shall be worthy. And this is the couch on which the guests shall recline, having been invited to the wedding. The presbyters, the disciples of the apostles, affirm that this is the gradation and arrangement of those who are saved, and that they advance through steps of this nature; also that they ascend through the Spirit to the Son, and through the Son to the Father, and that in due time the Son will yield up His work to the Father ..."
Later commentators have pointed out that in this eschatalogical state, the disorder that so afflicts the souls and minds of men will no longer hold sway, so that no more will there be envy, jealousy, greed, spite, hate, fear or loathing ... and so to each his place in the Heavenly Kingdom, be it high or low, near or far, will be the place in which the risen delight to find themselves, and that, no matter high nor low, near nor far ... God will be right there ... right there ...
So the Christian thinks not of coming back, or trying again, or abandoning this life in pursuit of another ... but rather the Christian thinks of that eternal rest in the bosom of the Father who is All Love and All Mercy, and all in all.
Irenaeus said:
"John, therefore, did distinctly foresee the first "resurrection of the just," and the inheritance in the kingdom of the earth; and what the prophets have prophesied concerning it harmonize [with his vision]. For the Lord also taught these things, when He promised that He would have the mixed cup new with His disciples in the kingdom. The apostle, too, has confessed that the creation shall be free from the bondage of corruption, [so as to pass] into the liberty of the sons of God. And in all these things, and by them all, the same God the Father is manifested, who fashioned man, and gave promise of the inheritance of the earth to the fathers, who brought it (the creature) forth [from bondage] at the resurrection of the just, and fulfils the promises for the kingdom of His Son; subsequently bestowing in a paternal manner those things which neither the eye has seen, nor the ear has heard, nor has [thought concerning them] arisen within the heart of man, For there is the one Son, who accomplished His Father’s will; and one human race also in which the mysteries of God are wrought, "which the angels desire to look into;" and they are not able to search out the wisdom of God, by means of Which His handiwork, confirmed and incorporated with His Son, is brought to perfection; that His offspring, the First-begotten Word, should descend to the creature (facturam), that is, to what had been moulded (plasma), and that it should be contained by Him; and, on the other hand, the creature should contain the Word, and ascend to Him, passing beyond the angels, and be made after the image and likeness of God."
Adv. Haers. XXXVI
So the Christian, with faith in Christ, and faith in the Resurrection, and a faith in the Wisdom of God that transcends all mortal thought, has no need to look elsewhere for deliverance, nor need he stumble and clutch at the chimeric promise of 'another chance' or find some means of explaining away the cruelties of this world to himself ... why should he? Has he not faith in God, the God who is all Love?
The Christian is free to accept reincarnation to the same degree that he is free to doubt the Love of God — where he has faith in God who is Love, he has no need of second chances.
Thomas