A

logical fallacy where several

premises are

asserted such that they cannot all be

true at the same time. The

propositions in question may be

contradictory or

contrary. Proving this logical fallacy is one of the methods of

Proof by Contradiction.

Example: x, y, and z are real numbers. x > y, y > z, and z > x

To prove that the premises are inconsistent, assume one is true and use it to prove one of the others false.