Logic

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', meaning both P and Q are true or both are false.

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', which reverses the hypothesis and conclusion.

Front

What is the Law of Detachment?

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 an 'if-then' statement that expresses a relationship between two propositions, where one proposition (the hypothesis) implies the other (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 the hypothesis in a conditional statement?

Back

The hypothesis is the part of a conditional statement that follows 'if'. It represents the condition that must be satisfied.

Front

What is the conclusion in a conditional statement?

Back

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

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

How do you form a contrapositive statement?

Back

The contrapositive of a conditional statement 'If P, then Q' is 'If not Q, then not P'. It negates both the hypothesis and conclusion and reverses them.

Tags

CCSS.RL.11-12.9

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

Front

What is the difference between a conditional statement and a biconditional statement?

Back

A conditional statement expresses a one-way implication, while a biconditional statement expresses a two-way relationship, indicating that both statements are equivalent.

Front

What does it mean for two statements to be logically equivalent?

Back

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

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.