|Noah Webster's Dictionary|
1. (n.) A reasoning or argumentation in opposition to something, or on opposite sides; controversy in words; verbal contest respecting the truth of some fact, opinion, proposition, or argument.
2. (n.) A rhetorical exercise in which parties reason in opposition to each other on some question proposed.
Int. Standard Bible Encyclopedia
dis-pu-ta'-shun: In Acts 15:2, the Revised Version (British and American) reads "questioning" for the King James Version "disputation" (Greek suzetesis). In Romans 14:1, the King James Version "doubtful disputations" becomes in the Revised Version (British and American) "decision of scruples" (Greek diakriseis dialogismon, literally, "discussions of doubts"). The Greek in neither case implies what the word "dispute" has come to mean in modern English, but rather "to discuss" or "argue."
Disputation (2 Occurrences)
Acts 15:2 When therefore Paul and Barnabas had no small dissension and disputation with them, they determined that Paul and Barnabas, and certain other of them, should go up to Jerusalem unto the apostles and elders about this question. (KJV WBS YLT)
Acts 28:29 and he having said these things, the Jews went away, having much disputation among themselves; (WBS)