From the Haydock Bible Commentary
Matthew 16:19
Ver. 19. And I will give to thee the keys, &c. This is another metaphor, expressing the supreme power and prerogative of the prince of the apostles. The keys of a city, or of its gates, are presented or given to the person that hath the chief power. We also own a power of the keys, given to the other apostles, but with a subordination to St. Peter and to his successor, as head of the Catholic Church. — And whatsoever thou shalt bind, &c. All the apostles, and their successors, partake also of this power of binding and loosing, but with a due subordination to one head invested with the supreme power. (Witham) — Loose on earth. The loosing the bands of temporal punishments due to sins, is called an indulgence: the power of which is here granted. (Challoner) — Although Peter and his successors are mortal, they are nevertheless endowed with heavenly power, says St. Chrysostom, nor is the sentence of life and death passed by Peter to be attempted to be reversed, but what he declares is to be considered a divine answer from heaven, and what he decrees, a decree of God himself. He that heareth you, heareth me, &c. The power of binding is exercised, 1st. by refusing to absolve; 2nd. by enjoining penance for sins forgiven; 3nd. by excommunication, suspension or interdict; 4th. by making rules and laws for the government of the Church; 5th. by determining what is of faith by the judgments and definitions of the Church. (Tirinus) — The terms binding and loosing, are equivalent to opening and shutting, because formerly the Jews opened the fastenings of their doors by untying it, and they shut or secured their doors by tying or binding it. (Bible de Vence) — Dr. Whitby, a learned Protestant divine, thus expounds this and the preceding verse: “As a suitable return to thy confession, I say also to thee, that thou art by name Peter, i.e. a rock; and upon thee, who art this rock, I will build my Church, and I will give to thee the keys of the kingdom of heaven, the power of making laws to govern my Church.” (Tom. i, p. 143.) Dr. Hammond, another Protestant divine, explains it in the same manner. And p. 92, he says: " What is here meant by the keys, is best understand by Isaias xxii. 22, where they signify ruling the whole family or house of the king: and this being by Christ accommodated to the Church, denotes the power of governing it."
1 Corinthians 15:29
Ver. 29. Who are baptized for the dead.[1] He still brings other proofs of the resurrection. This is a hard place, and the words are differently expounded. 1. Several late interpreters understand a metaphorical baptism, and that to be baptized for the dead, is to undertake self-denials, mortifications, and works of penance, in hopes of a happy resurrection; and this exposition agrees with what follows, of being exposed to dangers every hour, of dying daily, &c. But if this had been the apostle’s meaning, he would rather have said, Who baptize themselves. Besides, this exposition is not so much as mentioned in any of the ancient interpreters. 2. Some think that St. Paul tells the Corinthians that they ought not to question the resurrection of the dead, who had a custom among them, if any one died without baptism, to baptize another that was living for him; and this they did, fancying that such a baptism would be profitable to the dead person, in order to a happy resurrection. Tertullian mentions this custom in one or two places, and also St. Chrysostom on this place. But it does not seem probable that St. Paul would bring any argument of the resurrection from a custom which he himself could not approve, nor was ever approved in the Church. 3. St. Chrysostom and the Greek interpreters, who generally follow him, expound these words, who are baptized for the dead, as if it were the same as to say, who receive baptism with hopes that they themselves, and all the dead, will rise again; and therefore make a profession, when they are baptized, that they believe the resurrection. So that St. Paul here brings this proof among others, that they who have been made Christians, and continue Christians, cannot call in question the resurrection, which they professed to believe in their creed at their baptism, the creed being always repeated before they were baptized. 4. Others, by being baptized for the dead, understand those who begged and called for baptism when they were in danger of death, and would by no means go out of this world without being baptized, hoping thereby to have a happy resurrection of their bodies; so that to be baptized for the dead is the same as on the account of the state of the dead, which they were entering into. See St. Epiphanius, hær. viii. p. 114. Edit Petavii. (Witham) Some think the apostle here alludes to a ceremony then in use: but others, more probably, to the prayers and penitential labours performed by the primitive Christians for the souls of the faithful departed: or to the baptism of afflictions and sufferings undergone for sinners spiritually dead. (Challoner)