By Joseph Gerard Brennan

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This publication includes a new angle to the educating of mathematical good judgment through placing it within the context of the puzzles and paradoxes of universal language and rational notion. It serves as a bridge from the author's puzzle books to his technical writing within the interesting box of mathematical good judgment.

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Does "Some of Sei Shonagon's writings are in Chinese script" imply "Some of Sei Shonagon's writings are not in Chinese script"? Explain. B. If "All men obey Agamemnon" is false, what is the truth value of "No men ohey Agamemnon"? Explain. C. Can an 0 proposition he converted? Explain. 7. Give the most appropriate name to the relation between the propositions in the following pairs. Identify the inferences as valid or invalid. Assume all classes have at least one member. I. Bushbabies are woolly.

Can both be true? Can both be false? 0 f two subcontraries can both be true? Can both be false? How about these two pairs below? Explain. I. Some living dinosaurs are not pink. Some living dinosaurs are pink. 2. The murderer of President \Vilson was a Czech. The murderer of President Wilson was not a Czech. 10. Which of the following inferences are valid? Explain in each case. I. All Boston Symphony Orchestra musicians are union members; therefore, all Russian-born Boston Symphony Orchestra members are Russian-born union members.

You love me. 12 . Not an aardvark was stirring. At least one aardvark was stirring. 13. All stenographers sing. Some nonsingers are not stenographers. 14. Pigs are charming. Some noncharming things are nonpigs. 15. Some grasshoppers eat their husbands. Some who eat their husbands are not non grasshoppers. 16. No Fuller Brush men are Good Humor men. Some non-Fuller Brush men are not non-Good Humor men. 17. All benign tumors are curable. Some non benign tumors are not curable. 8. Give, where possible, the contradictory, contrary, subcontrary, subaltern, or superaltern of the following propositions.