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Before and after The Paradoxicon, there are other stories: The Director's Cut is a collection of six short talees which place the novel into a context, prefaced by the original flash fiction novel. When You Wish Upon a Binary Star [1]: Inspired by and written for two of my closest friends: teenage girls, confused about life and who found reassurance in this story. Solum Oculus Claude: An insight into the world populated by the silent. Master Yehudi's Flying Circuc: A fantastical, whimsical tale with dark undertones. A Message: A tale of anticipation with a sting. Helvetica Haus: ""Written by a genius psychopath."" COGS: ""Utterly disgusting and morally wrong, yet beautifully written."" The Director's cut is the consequence of choice.
Far from merely recycling what we already know about certain paradoxes, this book breaks entirely new ground by providing what everyone really wants: solutions. The king of all paradoxes is the Liar ('This statement is false.' If it is true, it is false; if it is false, it is true), which in its earliest form is over two and a half thousand years old. Throughout all this time it has resisted every attempt to fully understand it. This work finally unlocks the secrets of the Liar, exposing principles, patterns and formulae that have long lain hidden. Several other important paradoxes also come under the logical searchlight and they too surrender their treasures. Though paradoxes are inherently difficult, this book approaches them in a clear and entertaining manner, using plain English. Secrets of the Paradox is written for the general reader, yet is sufficiently rigorous to satisfy the demands of the professional philosopher. If you relish an intellectual challenge, this book is for you!
In his most ambitious book yet, Clifford Pickover bridges the gulf between logic, spirit, science, and religion. While exploring the concept of omniscience, Pickover explains the kinds of relationships limited beings can have with an all-knowing God. Pickover's thought exercises, controversial experiments, and practical analogies help us transcend our ordinary lives while challenging us to better understand our place in the cosmos and our dreams of a supernatural God. Through an inventive blend of science, history, philosophy, science fiction, and mind-stretching brainteasers, Pickover unfolds the paradoxes of God like no other writer. He provides glimpses into the infinite, allowing us to think big, and to have daring, limitless dreams.
This book is about “delta”, a paradox logic. In delta, a statement can be true yet false; an intermediate state, midway between being and non-being. Delta's imaginary value solves many paradoxes unsolvable in two-valued Boolean logic, including Russell's, Cantor's, Berry's and Zeno's.Delta has three parts: “inner delta logic”, covering “Kleenean logic”, which resolves self-reference; outer delta logic, covering Z mod 3, conjugate logics, cyclic distribution, and the voter's paradox; and “beyond delta logic”, covering four-valued logic and games.
Exploring Shakespeare's intellectual interest in placing both characters and audiences in a state of uncertainty, mystery, and doubt, this book interrogates the use of paradox in Shakespeare's plays and in performance. By adopting this discourse-one in which opposites can co-exist and perspectives can be altered, and one that asks accepted opinions, beliefs, and truths to be reconsidered-Shakespeare used paradox to question love, gender, knowledge, and truth from multiple perspectives. Committed to situating literature within the larger culture, Peter Platt begins by examining the Renaissance culture of paradox in both the classical and Christian traditions. He then looks at selected plays in terms of paradox, including the geographical site of Venice in Othello and The Merchant of Venice, and equity law in The Comedy of Errors, Merchant, and Measure for Measure. Platt also considers the paradoxes of theater and live performance that were central to Shakespearean drama, such as the duality of the player, the boy-actor and gender, and the play/audience relationship in the Henriad, Hamlet, As You Like It, Twelfth Night, Antony and Cleopatra, The Winter's Tale, and The Tempest. In showing that Shakespeare's plays create and are created by a culture of paradox, Platt offers an exciting and innovative investigation of Shakespeare's cognitive and affective power over his audience.
"This book should be interesting for everyone, and especially for logicians".Mathematical Reviews, 1999
This book is about “diamond”, a logic of paradox. In diamond, a statement can be true yet false; an “imaginary” state, midway between being and non-being. Diamond's imaginary values solve many logical paradoxes unsolvable in two-valued Boolean logic. In this volume, paradoxes by Russell, Cantor, Berry and Zeno are all resolved. This book has three sections: Paradox Logic, which covers the classic paradoxes of mathematical logic, shows how they can be resolved in this new system; The Second Paradox, which relates diamond to Boolean logic and the Spencer-Brown “modulator”; and Metamathematical Dilemma, which relates diamond to Gödelian metamathematics and dilemma games.
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