Some men are mortal. All Athenians are men. Some Athenians are mortal. Some men are mortal. All men are Athenians.
Some mortals are Athenian.
Show using truth tables that the following pairs of sentences are equivalent. Assume that you are told truthfully that the number is not even and that it is neither 1 nor 3. You reason that it must be 5. As it stands, this argument is not deductively valid, because it is missing some premises. Add any false premises such that the argument becomes deductively valid.