Discrete Structures20805 marksPredicates and Quantifiers
Express the following sentences using quantifier. 1) Not all people are loyal. 2)Everybody loves somebody. 3). Someone has passed the exam 4). Aquatic animals can't live without water 5). Some subjects are not interesting.
Express the following sentences using quantifier. 1) Not all people are loyal. 2)Everybody loves somebody. 3). Someone has passed the exam 4). Aquatic animals can't live without water 5). Some subjects are not interesting. [5]
Definitions used: Let the domain of discourse be the set of all people/subjects/animals unless stated otherwise. --- Let L(x) = "x is loyal" Logical Expression: $$\neg \forall x ; L(x)$$ This is equivalent to: $$\exists x ; \neg L(x)$$ "There exists at least one person who is not loyal." --- Le...