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These logic puzzles provide entertaining variations on Gödel's incompleteness theorems, offering ingenious challenges related to infinity, truth and provability, undecidability, and other concepts. No background in formal logic necessary.
In this new kind of entrée to discussions of free will and human agency, Pendergraft illuminates 50 puzzles, paradoxes, and thought experiments. Assuming no familiarity with the topic, each chapter describes a case, explains the questions that it raises, summarizes some of the key responses, and provides suggested readings.
Consider the sentence 'This sentence is not true'. Certain notorious paradoxes like this have bedevilled philosophical theories of truth. Tim Maudlin presents an original account of logic and semantics which deals with these paradoxes, and allows him to set out a new theory of truth-values and the norms governing claims about truth.
A Classroom-Tested, Alternative Approach to Teaching Math for Liberal Arts Puzzles, Paradoxes, and Problem Solving: An Introduction to Mathematical Thinking uses puzzles and paradoxes to introduce basic principles of mathematical thought. The text is designed for students in liberal arts mathematics courses. Decision-making situations that progress
Paradox Lost covers ten of philosophy’s most fascinating paradoxes, in which seemingly compelling reasoning leads to absurd conclusions. The following paradoxes are included: The Liar Paradox, in which a sentence says of itself that it is false. Is the sentence true or false? The Sorites Paradox, in which we imagine removing grains of sand one at a time from a heap of sand. Is there a particular grain whose removal converts the heap to a non-heap? The Puzzle of the Self-Torturer, in which a series of seemingly rational choices has us accepting a life of excruciating pain, in exchange for millions of dollars. Newcomb’s Problem, in which we seemingly maximize our expected profit by taking an unknown sum of money, rather than taking the same sum plus $1000. The Surprise Quiz Paradox, in which a professor finds that it is impossible to give a surprise quiz on any particular day of the week . . . but also that if this is so, then a surprise quiz can be given on any day. The Two Envelope Paradox, in which we are asked to choose between two indistinguishable envelopes, and it is seemingly shown that each envelope is preferable to the other. The Ravens Paradox, in which observing a purple shoe provides evidence that all ravens are black. The Shooting Room Paradox, in which a deadly game kills 90% of all who play, yet each individual’s survival turns on the flip of a fair coin. Each paradox is clearly described, common mistakes are explored, and a clear, logical solution offered. Paradox Lost will appeal to professional philosophers, students of philosophy, and all who love intellectual puzzles.
These marvelous, stimulating games for the mind include geometric paradoxes, cube and color arrangement puzzles, calendar paradoxes, much more. Detailed solutions prepare readers for puzzles of even greater complexity.
Traces the epic history of Greek philosopher Zeno's yet-unsolved paradox of motion, citing the contributions of top minds to the scientific community's understanding of the elusive basic structure of time and space.
"Imaginative cases, or what might be called puzzles, paradoxes, and other thought experiments, play a central role in epistemology (as in other areas of philosophy). A significant component of understanding epistemological debates and theories is appreciating various cases and what they are thought to show. This volume collects 50 of the most important puzzles, paradoxes, and thought experiments in contemporary epistemology and describes their significance. The volume gives each case a memorable name, describes the details of the case, explains the issue(s) to which the case is relevant, briefly overviews the key responses to the case that have been put forward, and provides a list of suggested readings on the topic. Each entry is accessible, succinct, and self-contained. Epistemology: 50 Puzzles, Paradoxes, and Thought Experiments is a fantastic teaching tool as well as a handy resource for anyone interested in epistemological issues. Key Features: Though concise overall, offers broad coverage of the key areas of epistemology. Describes each imaginative case directly and in a memorable way, making the cases accessible and easy to remember. Provides a list of Suggested Readings for each case, divided into General Overviews, Seminal Presentations, and Other Important Discussions"--
A walk through history's most mind-boggling puzzles Ever since the Sphinx asked his legendary riddle of Oedipus, riddles, conundrums, and puzzles of all sizes have kept humankind perplexed and amused. The Liar Paradox and the Towers of Hanoi takes die-hard puzzle mavens on a tour of the world's most enduringly intriguing braintwisters, from K?nigsberg's Bridges and the Hanoi Towers to Fibonacci's Rabbits, the Four Color Problem, and the Magic Square. Each chapter introduces the basic puzzle, discusses the mathematics behind it, and includes exercises and answers plus additional puzzles similar to the one under discussion. Here is a veritable kaleidoscope of puzzling labyrinths, maps, bridges, and optical illusions that will keep aficionados entertained for hours. Marcel Danesi (Etobicoke, ON, Canada) is the author of Increase Your Puzzle IQ