Home /
Expert Answers /
Other Math /
suppose-that-the-domain-of-the-propositional-function-p-x-consists-of-the-integers-1-2-3-pa719
(Solved): Suppose that the domain of the propositional function \( P(x) \) consists of the integers \( 1,2,3 ...
Suppose that the domain of the propositional function \( P(x) \) consists of the integers \( 1,2,3,4 \), and 5. Express these statements without using quantifiers, instead using only negations, disjunctions, and conjunctions. a) \( \exists x P(x) \) b) \( \forall x P(x) \) c) \( \neg \exists x P(x) \) d) \( \neg \forall x P(x) \) e) \( \forall x((x \neq 3) \rightarrow P(x)) \vee \exists x \neg P(x) \)
Expert Answer
Solution:- Given; x=1,2,3,4,5 interpretation symbols is :- negotion not p disjunction or conjunction and quantification xp(x): P is true if element x exists in the domain (x). P(x) for all po