Logic

Front

What is a biconditional statement?

Back

A biconditional statement is a logical statement that combines a conditional statement and its converse, expressed as 'P if and only if Q', meaning both P and Q are true or both are false.

Front

What is the Law of Detachment in logic?

Back

The Law of Detachment states that if a conditional statement is true and its hypothesis is true, then the conclusion must also be true.

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has the form 'If P, then Q', where P is the hypothesis and Q is the conclusion.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or proposition, showing that it is not universally true.

Front

What is the Law of Syllogism?

Back

The Law of Syllogism states that if 'If P, then Q' and 'If Q, then R' are both true, then 'If P, then R' is also true.

Front

What does it mean for a statement to be logically equivalent?

Back

Two statements are logically equivalent if they have the same truth value in every possible scenario.

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

What is a tautology in logic?

Back

A tautology is a statement that is always true, regardless of the truth values of its components.