Summary

Portrait of Philip Schaff Philip Schaff Ante-Nicene Fathers Vol. V, Anonymous Treatise on Re-baptism… (1885)

Thus, cleaving to the baptism of men, the Holy Spirit either goes before or follows it; or failing the baptism of water, it falls upon those who believe. We are counselled that either we ought duly to maintain the integrity of baptism, or if by chance baptism is given by any one in the name of Jesus Christ, we ought to supplement it, guarding the most holy invocation of the name of Jesus Christ, as we have most abundantly set forth; guarding, moreover, the custom and authority which so much claim our veneration for so long a time and for such great men.
Source: Wikisource

Portrait of Philip Schaff Philip Schaff Ante-Nicene Fathers Vol. V, Anonymous Treatise on Re-baptism… (1885)

If a man be not baptized by a bishop, so as even at once to have the imposition of hands, and should yet die before having received the Holy Spirit, should you judge him to have received salvation or not? Because, indeed, both the apostles themselves and the disciples, who also baptized others, and were themselves baptized by the Lord, did not at once receive the Holy Spirit, for He had not as yet been given, because that Jesus had not as yet been glorified.
Source: Wikisource

Portrait of Philip Schaff Philip Schaff Ante-Nicene Fathers Vol. V, Anonymous Treatise on Re-baptism… (1885)

Because outside the Church there is no Holy Spirit, sound faith moreover cannot exist, not alone among heretics, but even among those who are established in schism. And for that reason, they who repent and are amended by the doctrine of the truth, and by their own faith, which subsequently has been improved by the purification of their heart, ought to be aided only by spiritual baptism, that is, by the imposition of the bishop’s hands, and by the ministration of the Holy Spirit.
Source: Wikisource

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