Quiz 2 Discrete

It is also known as sentential logic and statement logic, is the branch of logic that studies ways of joining and/or modifying entire propositions, statements or sentences to form more complicated propositions, statements or sentences, as well as the logical relationships.

• discrete structure

• distinct

• logic

• logical statement

In logic, a type of connective that uses the word “and” to join two propositions.

• conditional proposition

• conjunction

• disjunction

• none of the above

In logic, relation or connection of terms in a proposition to express the concept “or”; it is a statement of alternatives (sometimes called “alternation”).

• conditional proposition

• conjunction

• disjunction

• none of the above

What do we mean by the word inference/inferences?

• conclusion

• conditional statement

• hypothesis

• syllogism

Let P (x) denote the statement “x >7.” Which of these have truth value true?

• P (0)

• P (4)

• P (6)

• P (9)

Let Q(x) be the statement “x < 5.” What is the truth value of the quantification ∀xQ(x), having domains as real numbers.

• True

• False

Determine the truth value of ∀n(n + 1 > n) if the domain consists of all real numbers

• True

• False

Let P(x) denote the statement “x = x + 7.” What is the truth value of the quantification ∃xP(x), where the domain consists of all real numbers?

• True

• False

Let R (x) denote the statement “x > 2.” What is the truth value of the quantification ∃xR(x), having domain as real numbers?

• True

• False

Which rule of inference is used in each of these arguments, “If it is Wednesday, then the Smartmart will be crowded. It is Wednesday. Thus, the Smartmart is crowded.”

• Modus tollens

• Modus ponens

• Disjunctive syllogism

• Simplification