47.1f it is false 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)
47.1f it is false 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)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
47 48 49 50
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)
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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