Unit 2 Mind your ps and qs

Front

What is a disjunction in logic?

Back

A disjunction is a logical operation that combines two statements (p and q) with the word 'or'. It is true if at least one of the statements is true.

Front

Write a disjunction using the statements: p: Vertical angles are congruent, q: 15 is a prime number.

Back

Vertical angles are congruent or 15 is a prime number.

Front

What is an inverse in logic?

Back

An inverse is formed by negating both the hypothesis and conclusion of a conditional statement. For example, the inverse of 'If p, then q' is 'If not p, then not q'.

Front

What is a biconditional statement?

Back

A biconditional statement is a logical statement that combines two statements with 'if and only if'. It is true when both statements are either true or false.

Front

What is the truth value of the statement: If it is St. Patrick's Day, then it is March?

Back

True, because St. Patrick's Day is celebrated on March 17.

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.

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 the negation of a statement?

Back

The negation of a statement is the opposite of the original statement. If the statement is true, its negation is false, and vice versa.

Front

Provide an example of a disjunction.

Back

Example: 'It is raining or it is sunny.' This statement is true if at least one of the conditions is true.

Front

What is the symbol used to represent disjunction?

Back

The symbol for disjunction is '∨'.