A simple study about Paul for those that like to claim that he somehow did away with baptism.
Acts 16:15 has the mention of baptism in connection with Paul outside of his own personal following of the teaching of Jesus. This is an important event - the first European convert. All within the household are baptized.
Acts 19:4-5 shows the difference between the baptism that John the Baptist practiced vs. what Jesus instructed to be done. When they found this out, they followed in the baptism as instructed by Jesus.
1 Cor. 1:2 starts the portion of scripture where Paul has to address the factions that were coming up
1 Cor. 1:13 addressed several of the factions by the names (Paul, Apollos, Cephas) of those that they follow vs. being a follower of Jesus and His teachings which is what they were taught. It wasn't based upon who did the baptism, but whom they were baptized for - which was none of them, but done as instructed by Jesus.
1 Cor. 1:14 tells us that it is those that are deacons that normally baptize (Acts 10:48).
1 Cor. 1:17 has Paul saying this not to do away with baptism (Rom. 6:3), but because his office/work within the church is to preach the gospel, to found churches, over see those churches. The factions that were dividing over baptism done by certain people "made of no effect" (Romans 4:14) because of their human reasoning which were not based on the teachings of Jesus which they taught.
1 Cor. 4:15 Paul makes clear that he did nothing of himself but all thru Christ (ref. again to 1 Cor. 1:14-17) - thus following the instructions given by Jesus.
1 Cor. 6:11 speaks to the verses above it and uses the Greek middle voice. "Washed" refers to the Christian's outward new birth of water, the sign of the inward setting apart to the Lord by the inspiration of the Spirit as the seed of new life (John 3:5, Eph. 5:26, Titus 3:5, Heb. 10:22).
1 Cor. 10:2-3 Paul gives instruction about the baptism of Jesus compared to Moses. Moses was God's servant that by the miracle of the cloud protected them, protected them thru the Red Sea, thus 'baptized unto him' (Exodus 14:31). "Baptized" in this verse is equivalent to "initiated". Paul's used it in his argument to the Corinthians that they, it is true, have been "baptized", but so also virtually were the Israelites of old. If the virtual baptism of the latter availed not to save them from the doom of lust, neither will the actual baptism of the former save them. There is a resemblance between the symbols also. The cloud and sea consist of water, and as these took the Israelites out of sight, and then restored them again to view, so the water does to the baptized. Christ is the pillar cloud that screens us from the heat of God's wrath. Christ as "the light of the world" is our "pillar of fire" to guide us in the darkness of the world. As the rock when smitten sent forth the waters, so Christ, having been once for all smitten, sends forth the waters of the Spirit. As the manna bruised in mills fed Israel, so Christ, "when it pleased the Lord to bruise Him," has become our spiritual food. A strong proof of inspiration is given in this fact, that the historical parts of Scripture, without the consciousness even of the authors, are covert prophecies of the future." (JFB Commentary)
1 Cor. 15:3 Paul addressed the belief and what it is based upon - Jesus and scripture in this chapter dealing with people and their misconceptions about resurrection.
Scripture is, according to Paul, the complete and sufficient rule in all that appertains to making "the man of God perfect, thoroughly furnished unto all good works" (2Tim. 3:16-17). It is by leaving Paul's God-inspired tradition for human traditions that problems come about.
The justification of Jesus in respect to His Spirit was effected by ALL that manifested that higher being, His words (Matt. 7:29; John 7:46), His works (John 2:11; John 3:2), by His Father's testimony at His baptism (Matt 3:17), and at the transfiguration (Matt 17:5), and especially by His resurrection (Acts 13:33; Rom. 1:4).
Candidates for baptism are presupposed to have had repentance and faith (for Paul often assumes in faith and charity that those addressed are what they profess to be, though in fact some of them were not so, 1Cor. 6:11), in which case baptism would be the visible "laver or regeneration" to them, "faith being thereby confirmed, and grace increased, by virtue of prayer to God".
"Born of (from) water and (no 'of' in Greek) the Spirit." The Word is the remote and anterior instrument of the new birth. Baptism, the proximate instrument. The Word, the instrument to the individual. Baptism, in relation to the Christian.
The laver of cleansing stood outside the door of the tabernacle, where the priest had to wash before entering the Holy Place. So we must wash in the laver of regeneration before we can enter the Church, whose members are "a royal priesthood." "Baptism by the Spirit" (whereof water baptism is the designed accompanying seal) makes the difference between Christian baptism and that of John. As Paul presupposes the outward Church is the visible community of the redeemed, so he speaks of baptism on the supposition that it answers to its idea; that all that is inward belonging to its completeness accompanied the outward. Outward baptism whatever is involved in the believing appropriation of the divine facts which it symbolizes, whatever is realized when baptism fully corresponds to its original design. So Gal. 3:27; language holding good only of those in whom the inward living communion and outward baptism coalesce. "Saved us" applies fully to those truly regenerate alone; in a general sense it may include many who, though put within reach of salvation, shall not finally be saved. "Regeneration" occurs only once more in New Testament, Matt 19:28, that is, the new birth of the heaven and earth at Christ's second coming to renew all material things, the human body included, when the creature, now travailing in labor-throes to the birth, shall be delivered from the bondage of corruption into the glorious liberty of the children of God. Regeneration, which now begins in the believer's soul, shall then be extended to his body, and thence to all creation.
Baptism is much more than "getting wet" to one that understands and is really following the one that instructed it to be done - that being following Jesus (Matt. 28:18-20)