1. Contradictory to logic; contrary to the principles of logical reasoning.
Usage: Formal or academic usage; Often used in philosophical or rhetorical contexts

Examples

• His argument was antilogical because it relied on contradictory premises.
• The antilogical nature of the statement made it impossible to accept as valid.
• She pointed out the antilogical flaw in his reasoning during the debate.
• An antilogical conclusion cannot follow from sound premises.
• The philosopher criticized the antilogical structure of the opponent's thesis.