approval [test. proving, proof] -- G1382, This is the word for “test” (dokimē) used in 2 Corinthians 2:9; 2co 8:2; 2 Corinthians 13:3.
this ministry [service. ministration,] -- This refers to the contribution of Paul’s Gentile churches to the mother church in Jerusalem.
their approval of this service -- See note on 2 Corinthians 9:12. The collection also provided an important opportunity for the Corinthians to test the genuineness of their faith (cf James 1:22; 1 John 2:3-4). The Jewish believers, who already doubted the validity of Gentile salvation, were especially skeptical of the Corinthians since their church had so many problems. The Corinthians’ involvement in the collection would help to put those doubts to rest. - MSB
confession of the gospel of Christ -- Confession means “to agree with” (cf. 1 Timothy 6:12-13; 1 John 1:9). In this context their metaphorical confession is their liberal contribution, which confirmed their relationship with the other Gentile churches and with Christ.
obedience of your confession -- Obedient submission to God’s Word is always evidence of a true confession of Christ as Lord and Savior (Ephesians 2:10; James 2:14-20; cf. Romans 10:9-10). If the Corinthians had a proper response to and participation in Paul’s collection ministry, the Jewish believers would know the Gentile conversions had been real.
your confession -- , or profession, i.e. of Christianity. See 1 Timothy 6:12-13 (margin); Hebrews 3:1, Hebrews 4:14, Hebrews 10:23.
contribution -- The word here rendered distribution in the A. V. is that usually rendered by communion, or fellowship. Here it clearly has the active sense of communication. - CBSC
for them and for all others, -- See 88-Ch-Saints folder. "saints and all men"; "all men" 1 Thessalonians 3:12
and to all [for all others] -- For if the Corinthians behaved with such brotherly kindness to the once-despised Jews, who were now their Christian brethren, they would be not likely to refuse fellowship with any others. - PC
This is a difficult phrase to interpret. It must somehow refer to the Corinthian influence in encouraging other Gentile churches to participate in the collection (cf. 2 Corinthians 9:2). - Utley
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There seems to be several things expressed here:
(1) the occasion of the recipients’ thankfulness,
(2) the tested genuineness of the help given;
(3) and the two reasons for their thankfulness, viz.
(a) Corinthian loyalty as regards the Gospel, and
(b) Corinthian generosity in giving so liberally.
(4) As regards the Palestinian Christians had had misgivings:
(a) it had looked as if Gentile converts were advocates for extreme license.
(b)Now they would see the loyalty manifested in Corinthian adhesion to the Gospel. (CBSC)