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41.If Katrina is not a metaphysician and all logicians are epistemologists, then it is not the case that some epistemologists being metaphysicians is a necessary condition for some logicians not being epistemologists. (MLE) 42. That dogs possess hair is a necessary and sufficient condition for dogs being mammals. (DHM) 43.If either all red apples are tasty fruits or no fruits are tasty apples, then it is not the case that both some red fruits are bananas and some red bananas are not fruits. (RATFB)

41.If Katrina is not a metaphysician and all logicians are epistemologists, then it is not the case that some epistemologists being metaphysicians is a necessary condition for some logicians not being epistemologists. (MLE) 42. That dogs possess hair is a necessary and sufficient condition for dogs being mammals. (DHM) 43.If either all red apples are tasty fruits or no fruits are tasty apples, then it is not the case that both some red fruits are bananas and some red bananas are not fruits. (RATFB)

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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answer 41 42 43. this is not english but mathematics logic

41.1f Katrina is not a metaphysician and all logicians are epistemologists, then it is not the case that some epistemologists being metaphysicians is a necessary condition for some logicians not being epistemologists. (MLE) 42. That dogs possess hair is a necessary and sufficient condition for dogs being mammals. (DHM) 43.1f either all red apples are tasty fruits or no fruits are tasty apples, then it is not the case that both some red fruits are bananas and some red bananas are not fruits. (RATFB) 44. All trucks are Fords just in case there is a green Ford driven by Maria. (TFGM) 45.If it is talse that Bob is a doctor, then Bob is an astronaut. (DA) 46.It is false that if Bob is a doctor then he is an astronaut. (DA) 47.1f it is talse that if Bob is a doctor then he is an astronaut, then he is a logician. (DAL) 48.If it is the case that if Bob is a doctor then he is an astronaut, then if he's not an astronaut then he's not a doctor. (DA) 49.Some physicians are surgeons if and only if being a surgeon is a necessary condition for being a physician. (PS) 50. Pigs will fly and monkeys will fall out of my nose, if I ever take another logic class. (PFMNT)
Transcribed Image Text:41.1f Katrina is not a metaphysician and all logicians are epistemologists, then it is not the case that some epistemologists being metaphysicians is a necessary condition for some logicians not being epistemologists. (MLE) 42. That dogs possess hair is a necessary and sufficient condition for dogs being mammals. (DHM) 43.1f either all red apples are tasty fruits or no fruits are tasty apples, then it is not the case that both some red fruits are bananas and some red bananas are not fruits. (RATFB) 44. All trucks are Fords just in case there is a green Ford driven by Maria. (TFGM) 45.If it is talse that Bob is a doctor, then Bob is an astronaut. (DA) 46.It is false that if Bob is a doctor then he is an astronaut. (DA) 47.1f it is talse that if Bob is a doctor then he is an astronaut, then he is a logician. (DAL) 48.If it is the case that if Bob is a doctor then he is an astronaut, then if he's not an astronaut then he's not a doctor. (DA) 49.Some physicians are surgeons if and only if being a surgeon is a necessary condition for being a physician. (PS) 50. Pigs will fly and monkeys will fall out of my nose, if I ever take another logic class. (PFMNT)
A. Directions: Transiate the following English statements into the language of mathematical logic, using the capital letters provided for your predicate constants. E.g. "All dogs are animals (DA)" translates as "Vx(D(x)- A(x))."
Transcribed Image Text:A. Directions: Transiate the following English statements into the language of mathematical logic, using the capital letters provided for your predicate constants. E.g. "All dogs are animals (DA)" translates as "Vx(D(x)- A(x))."
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