Quiz 1 answers.

I. Symbols.

a. Every mouse is a rodent. M))R

b. Not all baseball players are well-paid. B((P

c. Not every non-cancerous tumor is life threatening. Non-C((T

d. Actors are occasionally also politicians. A()P

e. It is not the case that any dog is a cat. D)(C

II. Forms of immediate inference.

a. The converse of No non-fish is a non-carnivore.

i. Non-C)(non-F

b. The obverse of All non-voters are non-citizens.

i. Non-V)(C

c. The contrapositive of Some cats are not Himalayans.

i. Non-H((non-C

III. If “Some Himalayans are not cats” is false, what about the statements below?

a. No Himalayans are cats is FALSE

b. Some Himalayans are cats is TRUE

c. All Himalayans are cats is TRUE

d. Some Himalayans are not non-cats is TRUE

e. All non-cats are non-Himalayans is TRUE

Remember in this one that the easiest thing to do is to look at the given false statement “H((C” and think its contradictory, which is “H))C” – and it is true. So if it is true that “All Himalayans are cats,” it is FALSE that no H are C, it is TRUE that some H are C, it is TRUE that all H are C, it is TRUE that some H are not non-C, which is equivalent by obversion to some H are C, and it is TRUE that all non-C are non-H, which is equivalent to All H are C.