Contradiction with Isaiah 11:2
Isaiah 11:2 speaks of wisdom and understanding being present, whereas Obadiah 1:8 mentions the destruction of the wise men of Edom.
Isaiah 11:2: And the spirit of the LORD shall rest upon him, the spirit of wisdom and understanding, the spirit of counsel and might, the spirit of knowledge and of the fear of the LORD;
Contradiction with Proverbs 2:6
This verse indicates that wisdom comes from the Lord, contrasting with the removal of wisdom in Obadiah 1:8.
Proverbs 2:6: For the LORD giveth wisdom: out of his mouth [cometh] knowledge and understanding.
Contradiction with James 1:5
James states that God gives wisdom liberally to those who ask, contradicting the idea of removing wise men as in Obadiah 1:8.
James 1:5: If any of you lack wisdom, let him ask of God, that giveth to all [men] liberally, and upbraideth not; and it shall be given him.