Logic Practice

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (if part) and a conclusion (then part). For example, 'If it rains, then the ground is wet.'

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'. For example, the converse of 'If it rains, then the ground is wet' is 'If the ground is wet, then it rains.'

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'. For example, the inverse of 'If it rains, then the ground is wet' is 'If it does not rain, then the ground is not wet.'

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'. For example, the contrapositive of 'If it rains, then the ground is wet' is 'If the ground is not wet, then it does not rain.'

Front

What is a biconditional statement?

Back

A biconditional statement is a statement that combines a conditional statement and its converse, expressed as 'P if and only if Q'. For example, 'An angle is a right angle if and only if it has 90 degrees.'

Front

What does it mean to negate a statement?

Back

To negate a statement means to state the opposite of that statement. For example, the negation of 'It is raining' is 'It is not raining.'

Front

What is a hypothesis in a conditional statement?

Back

The hypothesis is the 'if' part of a conditional statement. For example, in 'If I have a Siberian Husky, then I have a dog', the hypothesis is 'I have a Siberian Husky.'

Front

What is a conclusion in a conditional statement?

Back

The conclusion is the 'then' part of a conditional statement. For example, in 'If I have a Siberian Husky, then I have a dog', the conclusion is 'I have a dog.'

Front

What is a logical argument?

Back

A logical argument is a series of statements or propositions that lead to a conclusion based on reasoning. It often involves premises that support the conclusion.

Front

What is a truth table?

Back

A truth table is a mathematical table used to determine the truth value of a logical expression based on the truth values of its components.