Recent questions tagged goclasses_da_ai_tw1

Select the statement that is the negation of "Some weasels are cuddly."No weasels are cuddly.All weasels are cuddly.Some weasels are not cuddly.All cuttlefish are weasely...

We use the dictionary:\begin{array}{ll}M & \text{domain of men} \\s & \text{Sharon} \\N(x) & \text{x is nice} \\L(x, y) & \text{x loves y}\end{array}Which of the followin...

Consider the following two logical equivalences that express 'logical laws':$\mathrm{\neg \forall_{x \in D} f \equiv \exists_{x \in D}\neg f}$$\neg(f \leftrightarrow g) \...

Consider the sentence:Nadhi eats a fruit only if the fruit is an apple.Define the propositional variables:$n$ : Nadhi eats a fruit.$a$ : The fruit is an apple.Which of th...

Let $\operatorname{Bird}(x)$ means " $x$ is a $\operatorname{bird}$" and $\mathrm{Fly(y)}$ means " $y$ can fly". Which of the following is a correct logical statement for...

Consider the following interpretation of a language with a unary predicates $P, Q$, and a binary predicate $R$.Universe $=\{1,2,3,4\}$$P=\{\langle 1\rangle,\langle 3\rang...

Suppose the marked diagram below conveys information about relationships between pirates, ruffians and scoundrels. We use shading to indicate that a region contains no el...

The statement form $(p \Leftrightarrow r) \Rightarrow(q \Leftrightarrow r)$ is equivalent to$[(\sim p \vee r) \wedge(p \vee \sim r)] \vee \sim[(\sim q \vee r) \wedge(q \v...

Which of the following formulas is a formalization of the sentence:"Every connected and circuit-free graph is a tree"Where $\operatorname{cir}(\mathrm{x})$ means " x has ...

Given the statement form below where $p, q, r, s$ are statement variables,$$\Biggl(\biggl(\Bigl((p \rightarrow q) \rightarrow(q \rightarrow r)\Bigl) \rightarrow(r \righta...

The island of Wantuutrewan is inhabited by exactly two types of natives: knights who always tell the truth and knaves who always lie. Every native is a knight or a knave,...

Given the following where $p, q, r, s, t$ are statement variables:(i) $(\sim r \rightarrow \sim r) \vee(\sim q \rightarrow q) \vee(t \rightarrow \sim t)$(ii) $(p \wedge q...

Assume the domain is $\mathbb{R}$. Which of the following statements are true?$\forall x \exists y(x y=1)$$\exists x \forall y\left(x^{2} \geq y^{2}\right)$$\exists x \fo...

Let $S$ be the set of students and $x \in S$. We define the following predicates:$\operatorname{SoC}(x): x$ is a computing student;$\operatorname{CS} 1231(x): x$ has take...

Which of the following statements are true?$\sim(p \rightarrow q) \equiv(p \vee(p \rightarrow \sim q))$$(p \rightarrow(q \vee r)) \leftrightarrow((p \wedge \sim q) \right...