Luke 6:1 has the second Sabbath after the first. Does that refer to the second one in a month, or to the third, the second one after the first, which would be the third. Matthew 12:1, and Mark 2:23 refer to a or the Sabbath. It certainly seems more likely that the odd-ball designation was omitted by accident or by intention, than someone would add it to make it read different from the parallel passages. So why did the doctrine of the more difficult reading not put the designation in the CT?
http://www.biblestudents.co.za/books/Book%203,%201,%202,%203.Pentecost.pdf pp 193,194
7.3.2.2.3.1. “Second Sabbath After the First” Notwithstanding various attempts of scholars to explain, others’ admittance of being perplexed, and textual variants, one is compelled to interpret Luke’s expression “on the second Sabbath after the first” – deuteroprohtohi – differently. Nestle omits the term. Usual explanations rest on the assumption of a ceremonial Sabbath being the point of reference. Deuteroprohtos / -n, is “an epithet of uncertain meaning, but probably appropriated to the Sabbath following the first day of unleavened bread”, says Wigram. “Already from ancient times many have admitted to be at wit’s end with it”, says Bauer. The basis of the argument that Jesus offered his rest on a Sabbath should be concluded from the expression deuteroprohtohi’s contextual and historic joint. Matthew records the events – Jesus’ teaching and healing – of the second Sabbath after the Sabbath in Nazareth – see Table Par. 7.3.2.1.2. Epiphanius’ description of the expression in Luke 6:1 “Deuteroprohton = deuteron sabbaton meta to prohton – the second Sabbath after the first”, Haeresis 30:32; 51:31. Quoted from Bauer. needs no relevance with any ceremonial feast or ceremonial “sabbath”. It perfectly appropriates the context and historic course of events of Jesus’ early ministry without relation to a ceremonial sabbath. Luke introduces his account of Christ’s ministry in chapter 4 with the Sabbath episode in the Nazareth Synagogue, in Jesus’ “own country (“father’s” town)”, verse 16. Then Jesus was “thrust out of the city … and came down to Capernaum a city of Galilee”, verses 29 to 31. This must have been the development that Matthew 11:1 describes as Christ’s “departing to their cities”. The four Gospels regard this chronology of events as the beginning of Jesus’ miracles which He did in Galilee. John describes the two very first but incidental miracles, both in Cana in Galilee. The Synoptists deal with the beginning of Jesus’ formal ministry after John had been imprisoned and the voice of the one who had prepared the way for the One who was greater, was silenced. Matthew mentions Christ’s first Capernaum experience when He healed Simon’s mother in law without reference to the fact that the day was a Sabbath. But the other Synoptists tell of Jesus having arrived in “Capernaum a city in Galilee” then. He “taught on the Sabbath … in the
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Synagogue”. Jesus on this occasion healed a man with “an unclean devil”, says Lk.4:31-37. “And he arose out of the synagogue and entered Simon’s house”, verse 38. That was Jesus’ “first Sabbath” spent “preaching to their cities”! Two weeks followed, chapter 5, Lake of Genesareth verse 2 Night at sea fishing 5 Healing leper, multitudes gathered 12 Withdrew to wilderness 16 Certain days, healing of man with palsy 18-26 After these things, calling of Levi 29-39 Second Sabbath after the first, Jesus went through corn fields, 6:1