CONCEPT:¬ ∀x (P(x)) ≡ ∃ x ¬ P(x)p → q ≡ ¬ p ∨ q¬ (p ∨ q) ≡ ¬ p ∧ ¬ qExplanation:“All that glitters is gold” is expressed as∀x (glitters (x) ⇒ gold (x))“Not All that glitters is gold”¬ ∀ x (glitters (x) ⇒ gold (x))∃ x ¬ (glitters (x) ⇒ gold (x))∃ x ¬ (¬ glitters (x) ∨ gold (x))∃ x (glitters (x) ∧ ¬ gold (x))THEREFORE option 4 is correct.Important Point:"Not all that glitters is gold" means "There EXIST a GLITTER and it is not gold" which can be expressed as∃ x (glitters (x) ∧ ¬ gold (x)) "> CONCEPT:¬ ∀x (P(x)) ≡ ∃ x ¬ P(x)p → q ≡ ¬ p ∨ q¬ (p ∨ q) ≡ ¬ p ∧ ¬ qExplanation:“All that glitters is gold” is expressed as∀x (glitters (x) ⇒ gold (x))“Not All that glitters is gold”¬ ∀ x (glitters (x) ⇒ gold (x))∃ x ¬ (glitters (x) ⇒ gold (x))∃ x ¬ (¬ glitters (x) ∨ gold (x))∃ x (glitters (x) ∧ ¬ gold (x))THEREFORE option 4 is correct.Important Point:"Not all that glitters is gold" means "There EXIST a GLITTER and it is not gold" which can be expressed as∃ x (glitters (x) ∧ ¬ gold (x)) ">
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Consider the statement“Not all that glitters is gold”Predicate glitters(x) is true if x glitters and predicate gold(x) is true if x is gold. What which one of the following logical formulate represents the above statement?

Logical and Verbal Reasoning Logic in Logical and Verbal Reasoning . 3 years ago

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CONCEPT:¬ ∀x (P(x)) ≡ ∃ x ¬ P(x)p → q ≡ ¬ p ∨ q¬ (p ∨ q) ≡ ¬ p ∧ ¬ qExplanation:“All that glitters is gold” is expressed as∀x (glitters (x) ⇒ gold (x))“Not All that glitters is gold”¬ ∀ x (glitters (x) ⇒ gold (x))∃ x ¬ (glitters (x) ⇒ gold (x))∃ x ¬ (¬ glitters (x) ∨ gold (x))∃ x (glitters (x) ∧ ¬ gold (x))THEREFORE option 4 is correct.Important Point:"Not all that glitters is gold" means "There EXIST a GLITTER and it is not gold" which can be expressed as∃ x (glitters (x) ∧ ¬ gold (x))
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Posted on 11 Aug 2021, this text provides information on Logical and Verbal Reasoning related to Logic in Logical and Verbal Reasoning. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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