But these are written, that ye might believe that Jesus is the Christ, the Son of God; and that believing ye might have life through his name.

but these are written that ye may believe that Jesus is the Christ, the Son of God, and that believing ye might have life in his name.

But these have been recorded in order that you may believe that He is the Christ, the Son of God, and that, through believing, you may have Life through His name.

But these are recorded, so that you may have faith that Jesus is the Christ, the Son of God, and so that, having this faith you may have life in his name.

but these are written, that you may believe that Jesus is the Messiah, the Son of God, and that believing you may have life in his name.

But these things have been written, so that you may believe that Jesus is the Christ, the Son of God, and so that, in believing, you may have life in his name.

but these have been recorded so that you may believe that Jesus is the Christ, the Son of God – and that, through your belief in his name, you may have life.

But these are written, that you may believe. By these words he means, that he committed to writing what ought to satisfy us, because it is abundantly sufficient for confirming our faith; for he intended to reply to the vain curiosity of men, which is insatiable, and allows itself excessive indulgence. Besides, John was well aware of what the other Evangelists had written; and, as nothing was farther from his intention than to set aside their writings, he unquestionably does not separate their narrative from his own. It may be thought strange, however, that faith is founded on miracles, while it ought to rest exclusively on the promises and word of God. I reply, no other use is here assigned to miracles than to be the aids and supports of faith; for they serve to prepare the minds of men, that they may cherish greater reverence for the word of God, and we know how cold and sluggish our attention is, if we be not excited by something else. Besides, it adds no small authority to the doctrine already received, when, for the purpose of supporting it, he stretches out his mighty hand from heaven; as Mark says that the Apostles taught, the Lord working with them, and confirming the word by accompanying signs, (Mark 16:20.) Although, therefore, strictly speaking, faith rests on the word of God, and looks to the word as its only end, still the addition of miracles is not superfluous, provided that they be also viewed as relating to the word, and direct faith towards it. Why miracles are called signs we have already explained. It is because, by means of them, the Lord arouses men to contemplate his power, when he exhibits any thing strange and unusual. That Jesus is the Christ. He means the Christ, such as he had been promised in the Law and the Prophets, as the Mediator between God and men, the Father's highest Ambassador the only Restorer of the world, and the Author of perfect happiness. For John did not seize upon an empty and unmeaning title to adorn the Son of God, but included, under the name Christ, all the offices which the Prophets ascribe to him. We ought, therefore, to contemplate him such as he is there described. This shows more fully what was said a little ago, that faith does not confine its view to miracles, but carries us direct to the word; for it is as if John had said, that what the Prophets formerly taught by the word has been proved by miracles. And, indeed, we see that the Evangelists themselves do not occupy their whole attention in relating miracles, but dwell more largely on doe-trine, because miracles by themselves would produce nothing but a confused admiration. The meaning of the words therefore is, that these things have been written, that we may believe, so far as faith can be aided by signs. The Son of God. The Evangelist adds this, because not one of the ordinary rank of men could have been found, who was competent to perform so great undertakings; that is, to reconcile the Father to us, to atone for the sins of the world, to abolish death, to destroy the kingdom of Satan, to bring to us true righteousness and salvation. Besides, as the name, Son of God, belongs only to Christ, it follows that he is a Son, not by adoption, but by nature; and, therefore, under this name is comprehended the eternal Divinity of Christ. And, indeed, he who, after having received those striking proofs, which are to be found in the Gospel, does not perceive Christ to be God, does not deserve to look even at the sun and the earth, for he is blind amidst the brightness of noonday. That believing, you may have life. This effect of faith was also added, to restrain the foolish longings of men, that they may not desire to know more than what is sufficient for obtaining life. For what obstinacy was it, not to be satisfied with eternal salvation, and to wish to go beyond the limits of the heavenly kingdom? Here John repeats the most important point of his doctrine, that we obtain eternal life by faith, because, while we are out of Christ, we are dead, and we are restored to life by his grace alone. On this subject we have spoken largely enough in our exposition of the Third and Fifth Chapters of this Gospel. Through his name. As to his saying, through the name of Christ, rather than through Christ, the reason of this form of expression has been assigned by us in our exposition of the twelfth verse of the First Chapter of this Gospel. The reader may consult that passage, if he think proper, that I may not be troubled with repeating the same things frequently. [1]

Footnotes

1 - See [14]Vol. 1, p. 42.

These are written - Those recorded in this gospel.
That ye might believe - This is a clue to the design which John had in view in writing this gospel. The whole scope or end of the book is to accomplish two objects:
1. To prove that Jesus was the Messiah; and,
2. That they who looked at the proof might be convinced and have eternal life.
This design is kept in view throughout the book. The miracles, facts, arguments, instructions, and conversations of our Lord all tend to this. This point had not been kept in view so directly by either of the other evangelists, and it was reserved for the last of the apostles to collect those arguments, and make out a connected demonstration that Jesus was the Messiah. If this design of John is kept steadily in view, it will throw much light on the book, and the argument is unanswerable, framed after the strictest rules of reasoning, infinitely beyond the skill of man, and having throughout the clearest evidence of demonstration.

That ye might believe - What is here recorded is to give a full proof of the Divinity of Christ; that he is the promised Messiah; that he really suffered and rose again from the dead; and that through him every believer might have eternal life.
Life - Several MSS., versions, and fathers read eternal life, and this is undoubtedly the meaning of the word, whether the various reading be admitted or not.
Grotius has conjectured that the Gospel, as written by St. John, ended with this chapter, and that the following chapter was added by the Church of Ephesus. This conjecture is supported by nothing in antiquity. It is possible that these two last verses might have formerly been at the conclusion of the last chapter, as they bear a very great similarity to those that are found there; and it is likely that their true place is between the 24th and 25th verses of the succeeding chapter; with the latter of which they in every respect correspond, and with it form a proper conclusion to the book. Except this correspondence, there is no authority for changing their present position.
After reading the Gospel of John, his first Epistle should be next taken up: it is written exactly in the same spirit, and keeps the same object steadily in view. As John's Gospel may be considered a supplement to the other evangelists, so his first Epistle may be considered a supplement and continuation to his own Gospel. In some MSS. the epistles follow this Gospel, not merely because the transcribers wished to have all the works of the same writer together, but because there was such an evident connection between them. The first Epistle is to the Gospel as a pointed and forcible application is to an interesting and impressive sermon.

But these are written,..... The several ends of recording what is written in this book, in proof of Christ's resurrection, are as follow: one is,
that ye might believe that Jesus is the Christ, the Son of God; that Jesus, who was diminutively called Jesus, the son of Mary, the son of Joseph, the carpenter's son, Jesus of Nazareth, and of Galilee, was the Christ, or true Messiah; which signifies anointed, and takes in all his offices of prophet, priest, and King, to which he was anointed; and is an article of faith of the greatest importance; and is to be believed through the signs proving his resurrection, who, according to the Scriptures, was to rise again; and which, by the signs here recorded, it appears he is risen indeed, and therefore must be the true Messiah of the prophets, and also "the Son of God"; which was a known title of the Messiah among the Jews; and is not a name of office, but of nature and relation to God, and designs Christ in his divine nature, or as a divine person; and is an article of great moment, and well attested, by God, by angels, and men; and receives a further confirmation by the resurrection of Christ, who is thereby declared to be the Son of God with power; and with this view did this evangelist write the signs, proving it, herein to be found. And his other end in recording them, is,
and that believing ye might have life through his name: believers have their spiritual and eternal life through Christ; their life of grace, of justification on him, of sanctification from him, and communion with him; the support and maintenance of their spiritual life, and all the comforts of it: and also their life of glory, or eternal life, they have through, or in his name; it lies in his person, it comes to them through him as the procuring cause of it; it is for his sake bestowed upon them, yea, it is in his hands to give it, and who does give it to all that believe: not that believing is the cause of their enjoyment of this life, or is their title to it, which is the name, person, blood, and righteousness of Christ; but faith is the way and means in which they enjoy it; and therefore these signs are written by the evangelist for the encouragement of this faith in Christ, which is of such use in the enjoyment of life, in, through, and from him. Beza's ancient copy, two of Stephens's, the Coptic, Syriac, Arabic, Persic, and Ethiopic versions read, "eternal life".

But these are written--as sufficient specimens.
the Christ, the Son of God--the one His official, the other His personal, title.
believing . . . may have life--(See on John 6:51-54).

But these are written, that ye might believe that Jesus is the Christ, etc. This is the object of all the gospel histories. They aim to so reveal Christ as to produce faith in him. He is the one object of belief. He is the Christian's creed. Faith in him, a faith that takes him as the Christ, saves the soul. All who have such faith wrought by the word of God will "have life through his name."

But these things are written that ye may believe - That ye may be confirmed in believing. Faith cometh sometimes by reading; though ordinarily by hearing.