LOGIC MIDTERM

Which of the following best explains why symbolic logic is compared to mathematics?

• It deals with numbers and operations

• It uses symbols to represent logical relationships precisely

• It eliminates the use of English words

• It focuses only on moral reasoning

In the proposition “If every man is mortal, then he is embodied,” which part is the antecedent?

• He is embodied

• If ... then

• Every man is mortal

• Man is a being

Given the symbolic form p ⊃ q, what does it mean when p is true and q is false?

• The statement is true

• The statement is false

• The statement is uncertain

• The truth cannot be determined

If “Rizal was a doctor and he was a poet,” is represented as p . q, which situation will make the statement false?

• Both p and q are true

• p is true but q is false

• p is false and q is true

• Both b and c

What does the negation symbol ~p mean in logic?

• p is always true

• p is uncertain

• p is false

• p is the opposite in truth value

In a strict disjunction (p v q), when is the statement true?

• Both p and q are true

• Only one of p or q is true

• Both are false

• p is true and q is false

In a broad disjunction (p v q), when is the statement false?

• When both p and q are true

• When one is true and the other is false

• When both are false

• When only one is true

What is the main difference between “p ⊃ q” and “p ≡ q”?

• “⊃” is disjunctive while “≡” is conditional

• “⊃” is conditional while “≡” is biconditional

• “≡” means “and,” while “⊃” means “or”

• Both have the same meaning

When both p and q are true, what is the truth value of p ≡ q?

• True

• False

• Undetermined

• Opposite of p

Which of the following statements correctly represents ~(p v q)?

• It is not true that either p or q is true

• Either p is false or q is false

• Both p and q are true

• p or q is always true