Truth Tables, Converse, Inverse, Contrapositive

Front

What is a truth table?

Back

A truth table is a mathematical table used to determine the truth values of logical expressions based on their inputs.

Front

Define a conditional statement.

Back

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

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 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 contrapositive of a conditional statement?

Back

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

Front

How do you form the contrapositive?

Back

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

Front

What does the symbol ∧ represent in logic?

Back

The symbol ∧ represents 'and' in logic.

Front

What does the symbol ∨ represent in logic?

Back

The symbol ∨ represents 'or' in logic.

Front

What is a disjunction?

Back

A disjunction is a compound statement formed by joining two statements with the word 'or'.

Front

What is a conjunction?

Back

A conjunction is a compound statement formed by joining two statements with the word 'and'.