As giving you occasion of glorying (apormhn didonte umin kauchmato). An old Greek word (apo, ormh, onset, rush), a base of operations, material with which to glory, as we say "a tip" only much more. That ye may have wherewith to answer (ina echte pro). Literally, "That ye may have something against (for facing those, etc.)." Paul wishes his champions in Corinth to know the facts. In appearance, and not in heart (en proswpwi kai mh en kardiai). He means the Judaizers who were braggarts about their orthodox Judaism.