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And when they saw him, they worshipped him: but some doubted. And Jesus came and spake unto them, saying, All power is given unto me in heaven and in earth. Go ye therefore, and teach all nations, baptising them in the name of the Father, and of the Son, and of the Holy Ghost: Teaching them to observe all things whatsoever I have commanded you: and, lo, I am with you alway, even unto the end of the world. Amen (Matt 28;17-20).
I would suggest that it was what Jesus said immediately before he prefaced His command concerning baptism by saying, “All authority in heaven and on earth has been given to me, (28:18). Therefore or because I have all authority, do this, baptise them in the name…. yes the name of him who is God. The emphasis on the Great Commission is on the authority of Jesus and the authority of his name to do signs and wonders. The disciples recognised that the name (authority) into which we are baptised is the same name who had just claimed all authority in heaven and earth: In acts the apostles baptised into the name and without the name no one was baptised. The act as in the authority lay not in a phrase but in the “name” over which the candidate who confessed their sins was reborn.