Definition:Contrary Statements

Definition

Two statements are said to be contrary if they can both be false, but they cannot both be true.

Example

Let the Universe of Discourse be fruit.

The statements:

Every mango is delicious.

Every mango is not delicious.

are contrary.

Also see

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

Sources

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