Logic Lesson 1: Inverse, Converse, Contrapositive Review

Front

What is the definition of a conditional statement in logic?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions, where the first proposition (the hypothesis) implies the second proposition (the conclusion).

Front

What is the inverse of a conditional statement?

Back

The inverse of a conditional statement 'If P, then Q' is 'If not P, then not Q.'

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement 'If P, then Q' is 'If Q, then P.'

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement 'If P, then Q' is 'If not Q, then not P.'

Front

Given the statement 'If it rains, then the ground is wet,' what is the inverse?

Back

If it does not rain, then the ground is not wet.

Front

Given the statement 'If I study, then I will do well on the quiz,' what is the contrapositive?

Back

If I do not do well on the quiz, then I did not study.

Front

What is the hypothesis in a conditional statement?

Back

The hypothesis is the part of the conditional statement that follows 'if.' It represents the condition that must be true for the conclusion to follow.

Front

What is the conclusion in a conditional statement?

Back

The conclusion is the part of the conditional statement that follows 'then.' It represents the result that follows if the hypothesis is true.

Front

How do you identify the inverse of a statement?

Back

To identify the inverse, negate both the hypothesis and the conclusion of the original conditional statement.

Front

How do you identify the contrapositive of a statement?

Back

To identify the contrapositive, negate both the conclusion and the hypothesis of the original conditional statement and switch their places.