Unreason

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As an exercise at the end of his 1887 book The Game of Logic, Lewis Carroll presents pairs of premises for which conclusions are to be found:

  • No bald person needs a hair-brush; No lizards have hair.
  • Some oysters are silent; No silent creatures are amusing.
  • All wise men walk on their feet; All unwise men walk on their hands.
  • No bridges are made of sugar; Some bridges are picturesque.
  • No frogs write books; Some people use ink in writing books.
  • Some dreams are terrible; No lambs are terrible.
  • All wasps are unfriendly; All puppies are friendly.
  • All ducks waddle; Nothing that waddles is graceful.
  • Bores are terrible; You are a bore.
  • Some mountains are insurmountable; All stiles can be surmounted.
  • No Frenchmen like plum-pudding; All Englishmen like plum-pudding.
  • No idlers win fame; Some painters are not idle.
  • No lobsters are unreasonable; No reasonable creatures expect impossibilities.
  • No fossils can be crossed in love; Any oyster may be crossed in love.
  • No country, that has been explored, is infested by dragons; Unexplored countries are fascinating.
  • A prudent man shuns hyaenas; No banker is imprudent.
  • No misers are unselfish; None but misers save egg-shells.
  • All pale people are phlegmatic; No one, who is not pale, looks poetical.
  • All jokes are meant to amuse; No Act of Parliament is a joke.
  • No quadrupeds can whistle; Some cats are quadrupeds.
  • Gold is heavy; Nothing but gold will silence him.
  • No emperors are dentists; All dentists are dreaded by children.
  • Caterpillars are not eloquent; Jones is eloquent.
  • Some bald people wear wigs; All your children have hair.
  • Weasels sometimes sleep; All animals sometimes sleep.
  • Everybody has seen a pig; Nobody admires a pig.

He gives no solutions, so you’re on your own.