Definition:Contradictory Statements

Definition

Two statements are said to be contradictory iff when one statement of the pair is true, the other must be false.

Example

Let the Universe of Discourse be fruit.

The statements:

Every mango is delicious.

There exists some mango that is not delicious.

are contradictory.

Also see

• Categorical Statement
• Contrary Statements
• Subcontrary Statements
• Square of Opposition
• Principle of Non-Contradiction

Sources

• Merrilee H. Salmon: Introduction to Logic and Critical Thinking (1995) $\S 10.2$