"Another scintillating collection of brilliant problems and paradoxes by the most entertaining logician and set theorist who ever lived." — Martin Gardner. Inspired by the classic tale of a prisoner's dilemma, these whimsically themed challenges involve paradoxes about probability, time, and change; metapuzzles; and self-referentiality. Nineteen chapters advance in difficulty from relatively simple to highly complex. Reprint of the Times Books, New York, 1982 edition.
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First-Order Logic by Raymond M. Smullyan This self-contained study is both an introduction to quantification theory and an exposition of new results and techniques in "analytic" or "cut free" methods. The focus is on the tableau point of view. Includes 144 illustrations.
Satan, Cantor and Infinity: Mind-Boggling Puzzles by Raymond M. Smullyan A renowned mathematician tells stories of knights and knaves in an entertaining look at the logical precepts behind infinity, probability, time, and change. Requires a strong background in mathematics. Complete solutions.
My Best Mathematical and Logic Puzzles by Martin Gardner Noted expert selects 70 "short" puzzles. The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, and 67 more. Solutions included.
Professor Hoffmann's Best Math and Logic Puzzles by Louis Hoffmann These pleasantly perplexing highlights from the classic 1893 puzzle book abound in Victorian charm. They include both arithmetic problems and challenges involving words and letters. Complete solutions.
Brain Busters! Mind-Stretching Puzzles in Math and Logic by Barry R. Clarke Fifty-one original puzzles include complex crosswords, a collection of amusing stories with a series of clues that lead to a single solution at the end, and an advanced series of math and logic puzzles.
Flatland: A Romance of Many Dimensions by Edwin A. Abbott Classic of science (and mathematical) fiction — charmingly illustrated by the author — describes the adventures of A. Square, a resident of Flatland, in Spaceland (three dimensions), Lineland (one dimension), and Pointland (no dimensions).
Puzzles in Math and Logic by Aaron J. Friedland 100 original problems in math and logic, featuring permutations, combinations, properties of numbers, algebra, solid and plane geometry, logic, and probability. Even accomplished mathematicians are likely to find some surprises here. 31 drawings.
101 Puzzles in Thought and Logic by C. R. Wylie, Jr. Solve murder problems and robberies, see which fishermen are liars and how a blind man can identify color — purely by reasoning! Hours of mind-strengthening entertainment.