Conditional Statements

Front

What word(s) is associated with a conditional statement?

Back

If, then

Front

What is a counterexample?

Back

An example that disproves a statement or proposition.

Front

What is the conclusion in a conditional statement?

Back

The result or outcome that follows the 'then' part of the statement.

Front

What is a conditional statement?

Back

A statement that can be written in the form 'If P, then Q'.

Front

What does 'if and only if' mean in logic?

Back

A biconditional statement where both conditions must be true.

Front

What is a valid counterexample to 'All vegetables are green'?

Back

Eggplant (since it is a vegetable that is not green).

Front

In the statement 'If it rains, then the ground is wet', what is the hypothesis?

Back

It rains.

Front

In the statement 'If it rains, then the ground is wet', what is the conclusion?

Back

The ground is wet.

Front

What is the negation of 'If it rains, then the ground is wet'?

Back

It rains and the ground is not wet.

Front

What is the difference between a hypothesis and a conclusion?

Back

The hypothesis is the 'if' part, and the conclusion is the 'then' part of a conditional statement.