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)

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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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