Alice’s Adventures Lewis Carroll filled tales like in Wonderland with wordplay. As a lecturer of mathematics at Christ Church, Oxford University, he used the same trickery to teach systematic reasoning—parsing a series of premises to reach a conclusion. His so-called The Game of Logic syllogisms debuted in in 1887, Symbolic Logic. and he built on them in 1897’s
Instructions: Read the following statements, note the relationships among their assertions, and determine one unstated truth.
1. (A) No kitten that loves fish is unteachable.
(B) No kitten without a tail will play with a gorilla.
(C) Kittens with whiskers always love fish.
(D) No teachable kitten has green eyes.
(E) No kittens have tails unless they have whiskers.
2. (A) A plum-pudding that is not really solid is mere porridge.
(B) Every plum-pudding served at my table has been boiled in a cloth.
(C) A plum-pudding that is mere porridge is indistinguishable from soup.
(D) No plum-puddings are really solid, except what are served at my table.
3. (A) No ducks waltz.
(B) No officers ever decline to waltz.
(C) All my poultry are ducks.