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A. Convert the following English sentences into their symbolic form using a) a universal quantifier, and b) an existential quantifier as the main quantifier. Be sure to define all predicates you use in your conversion. You may assume that the universe of discourse in predicates involving people are simply people and that for predicates involving all objects other than people are simply things. Example: All children play with any toy. C(x) - x is a child P(x.y)-x plays with y T(y)-y is a toy a) ()C(x) - )(T(y) P(x.y))] b) -(3x)[ C(x) A V)Ty) P(x.y) 1

A. Convert the following English sentences into their symbolic form using a) a universal quantifier, and b) an existential quantifier as the main quantifier. Be sure to define all predicates you use in your conversion. You may assume that the universe of discourse in predicates involving people are simply people and that for predicates involving all objects other than people are simply things. Example: All children play with any toy. C(x) - x is a child P(x.y)-x plays with y T(y)-y is a toy a) ()C(x) - )(T(y) P(x.y))] b) -(3x)[ C(x) A V)Ty) P(x.y) 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A. Convert the following English sentences into their symbolic form using a) a universal quantifier, and b) an existential quantifier as the main quantifier. Be sure to define all predicates you use in your conversion. You may assume that the universe of discourse in predicates involving people are simply people and that for predicates involving all objects other than people are simply things. Example: All children play with any toy. C(x) - x is a child P(x.y) - x plays with y T(y) - y is a toy a) (X) C(x) - )(T(y) P(x.y)) ] b) -(3x)[ C(x) AT)P(x.y)) ] 7. Instructors teach lab classes only. 8 There is no such thing as a manananggal. 9. Only Muslims do not eat pork. 10. No hospital would be overwhelmed if all Filipinos were disciplined
Transcribed Image Text:A. Convert the following English sentences into their symbolic form using a) a universal quantifier, and b) an existential quantifier as the main quantifier. Be sure to define all predicates you use in your conversion. You may assume that the universe of discourse in predicates involving people are simply people and that for predicates involving all objects other than people are simply things. Example: All children play with any toy. C(x) - x is a child P(x.y) - x plays with y T(y) - y is a toy a) (X) C(x) - )(T(y) P(x.y)) ] b) -(3x)[ C(x) AT)P(x.y)) ] 7. Instructors teach lab classes only. 8 There is no such thing as a manananggal. 9. Only Muslims do not eat pork. 10. No hospital would be overwhelmed if all Filipinos were disciplined
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