The meaning of Schism in the Bible
(From International Standard Bible Encyclopedia)

siz'-m (schisma): Only in I Corinthians 12:25. The same Greek word, literally, "a split," is translated "rent" in Matthew 9:16; Mark 2:21; and "division" in John 7:43; John 9:16; John 10:19. It designates "a separation," not from, but within, the church, interfering with the harmonious coordination and cooperation of the members described in the preceding verses (I Corinthians 12:18 ff.). The ecclesiastical meaning is that of a break from a church organization, that may or may not be connected with a doctrinal dissent.

See more on the meaning of Schism in the Bible:
Schism {Easton's Bible Dictionary}

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