Concept explainers
Lewis Carroll The following exercises are from problems by Lewis Carroll. Write each premise in symbols, and then give a conclusion that uses all the premises and yields a valid argument. Source: The Complete Works of Lewis Carroll
Let u be “the writer understands human nature,” c be “the writer is clever,” p be “the writer is a true poet,” r be “the writer can stir the hearts of men,” s be “the writer is Shakespeare, ” and h be “the writer wrote Hamlet.”
(a) All writers who understand human nature are clever.
(b) No one is a true poet unless he can stir the hearts of men. (Hint: “(~a) unless b” ≡ a → b)
(c) Shakespeare wrote Hamlet.
(d) No writer who does not understand human nature can stir the hearts of men.
(e) None but a true poet could have written Hamlet.
(f) Give a conclusion that yields a valid argument.
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