1. the quality or state of being illogical; lack of sound reasoning

Examples

• The illogic of his argument was immediately apparent to everyone in the room.
• She was frustrated by the illogic of the new company policy.
• The detective pointed out the illogic in the suspect’s alibi.
• There’s a certain illogic to spending more money to save money.
• The illogic of the situation made it difficult to find a solution.
• His decision was based on pure emotion rather than any kind of logic or illogic.