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If set A has 3 elements, how many elements does the power set P(A) have?
Which of the following arguments represents Modus Ponens?
Which rule of inference is used in the following argument?"Either I study math or I study history. I am not studying math. Therefore, I am studying history."
According to De Morgan's Laws for quantifiers, which of the following is equivalent to ¬∀x P(x)?
What is ⌊3.7⌋ + ⌈2.3⌉?
In the Knights and Knaves puzzle, if A says "B is a knight" and B says "We are of opposite types," what are A and B?
Which logical connective has the following truth table?
| p | q | ? |
|---|---|---|
| T | T | F |
| T | F | T |
| F | T | T |
| F | F | F |
Let A = {1, 2, 3, 4} and B = {3, 4, 5, 6}. What is A ∩ B?
Given premises: (1) p → q, (2) ¬q, what conclusion can be validly drawn using rules of inference?
Which of the following correctly translates "Some student in this class has visited Mexico" into predicate logic, where the domain is all people, S(x) means "x is a student in this class", and M(x) means "x has visited Mexico"?