Logic

Which of the following is a simple statement proposition?

• He wrote the lyrics of Lupang Hinirang.

• Philippines is a progressive nation and Filipinos are disciplined.

• COVID-19 cases is the Philippines is still increasing.

• The pandemic has ended?

Which is a conjunction of two statements?

• 2 is positive factor of 12 and 2 is a prime number.

• If 3 is a factor of 9, then 9 is a composite number.

• $\pi$ is not an integer if and only if $\pi$ is not in the number line.

• The set of natural numbers is infinite or all positive integers has a cardinality of 0.

Which is a bi-conditional statement?

• 2 is positive factor of 12 and 2 is a prime number.

• If 3 is a factor of 9, then 9 is a composite number.

• $\pi$ is not an integer if and only if $\pi$ is not in the number line.

• The set of natural numbers is infinite or all positive integers has a cardinality of 0.

Which is a conditional statement?

• 2 is positive factor of 12 and 2 is a prime number.

• If 3 is a factor of 9, then 9 is a composite number.

• $\pi$ is not an integer if and only if $\pi$ is not in the number line.

• The set of natural numbers is infinite or all positive integers has a cardinality of 0.

What is the first step in constructing a truth table?

• Perform the rules in propositional logic.

• Construct the negation of the compound statement.

• Form the table for assertion.

• Write the converse of the implication statement.

If p is true and q is false, what is ~q→p?

• True

• False

If p is true and q is true, what is p→(~q∨q)?

• True

• False

What is the truth value of the statement "Integers are rational numbers and rational numbers are real."?

• True

• False

Which is a proposition where the truth values are always false in all possible cases?

• Tautology

• Contradiction

• Contingency

Which is the inverse of "If -2 is an integer then -2 is a real number"?

• If -2 is not an integer, then -2 is not a real number.

• If -2 is a real number, then -2 is an integer.

• If -2 is not a real number, then -2 is not an integer.