Flashcard 2A: Reasoning, Statements, and Truth Values

Front

What is the truth value of 'A V B' if both A and B are false?

Back

False, because neither statement is true.

Front

What is the converse of the statement: 'If you make an insurance claim, then your rates will go up.'?

Back

If your insurance rates go up, then you have made an insurance claim.

Front

What is the truth value of 'A ∧ B' if A is false and B is true?

Back

False, because both must be true for conjunction to be true.

Front

Identify the contrapositive of: 'If angles are congruent, then the measures of the angles are equal.'

Back

If the measures of the angles are not equal, then the angles are not congruent.

Front

What type of reasoning is used in the statement: 'All bears are mammals, all mammals have kidneys; therefore all bears have kidneys.'?

Back

Deductive.

Front

Define a truth value in logic.

Back

A truth value is an attribute assigned to a statement that indicates whether it is true or false.

Front

What does 'A ∧ B' represent in logic?

Back

It represents a conjunction, which is true only if both A and B are true.

Front

What does 'A V B' represent in logic?

Back

It represents a disjunction, which is true if at least one of A or B is true.

Front

What is the definition of a converse statement?

Back

The converse of a statement is formed by reversing the hypothesis and conclusion.

Front

What is a contrapositive statement?

Back

The contrapositive of a statement is formed by negating both the hypothesis and conclusion and reversing them.