Satan Cantor And Infinity And Other Mind bogglin

More than two hundred new and challenging logic puzzles—the simplest brainteaser to the most complex paradoxes in contemporary mathematical thinking—from our topmost puzzlemaster (“the most entertaining logician who ever lived,” ...

Author: Raymond M. Smullyan

Publisher: Knopf

ISBN: 0307819825

Category: Games & Activities

Page: 270

View: 703

More than two hundred new and challenging logic puzzles—the simplest brainteaser to the most complex paradoxes in contemporary mathematical thinking—from our topmost puzzlemaster (“the most entertaining logician who ever lived,” Martin Gardner has called him). Our guide to the puzzles is the Sorcerer, who resides on the Island of Knights and Knaves, where knights always tell the truth and knaves always lie, and he introduces us to the amazing magic—logic—that enables to discover which inhabitants are which. Then, in a picaresque adventure in logic, he takes us to the planet Og, to the Island of Partial Silence, and to a land where metallic robots wearing strings of capital letters are noisily duplicating and dismantling themselves and others. The reader’s job is to figure out how it all works. Finally, we accompany the Sorcerer on an alluring tour of Infinity which includes George Cantor’s amazing mathematical insights. The tour (and the book) ends with Satan devising a diabolical puzzle for one of Cantor’s prize students—who outwits him! In sum: a devilish magician’s cornucopia of puzzles—a delight for every age and level of ability.

Satan Cantor and Infinity

The author of What Is the Name of This Book? presents a compilation of more than two hundred challenging new logic puzzles--ranging from simple brainteasers to complex mathematical paradoxes.

Author: Raymond M. Smullyan

Publisher: Alfred a Knopf Incorporated

ISBN: 9780679406884

Category: Games

Page: 270

View: 265

The author of What Is the Name of This Book? presents a compilation of more than two hundred challenging new logic puzzles--ranging from simple brainteasers to complex mathematical paradoxes.

An Episodic History of Mathematics

V. Wiktor Marek and Jan Mycielski, Foundations of mathematics in the twentieth century, The American Mathematical Monthly 108(2001), 449–468. Raymond M. Smullyan, Satan, Cantor, and infinity, The College Mathematics Journal 16(1985), ...

Author: Steven G. Krantz

Publisher: MAA

ISBN: 0883857669

Category: Mathematics

Page: 381

View: 866

An Episodic History of Mathematics will acquaint students and readers with mathematical language, thought, and mathematical life by means of historically important mathematical vignettes. It will also serve to help prospective teachers become more familiar with important ideas of in the history of mathematicsboth classical and modern.Contained within are wonderful and engaging stories and anecdotes about Pythagoras and Galois and Cantor and Poincar, which let readers indulge themselves in whimsy, gossip, and learning. The mathematicians treated here were complex individuals who led colorful and fascinating lives, and did fascinating mathematics. They remain interesting to us as people and as scientists.This history of mathematics is also an opportunity to have some fun because the focus in this text is also on the practicalgetting involved with the mathematics and solving problems. This book is unabashedly mathematical. In the course of reading this book, the neophyte will become involved with mathematics by working on the same problems that, for instance, Zeno and Pythagoras and Descartes and Fermat and Riemann worked on.This is a book to be read, therefore, with pencil and paper in hand, and a calculator or computer close by. All will want to experiment; to try things; and become a part of the mathematical process.

Satan Cantor and Infinity

Author: Raymond Smullyan


ISBN: 9780192861610

Category: Gödel's theorem

Page: 270

View: 118

Satan Cantor and Infinity

Author: Raymond M. Smullyan


ISBN: 9780517118009



View: 197

Infinite Abelian Groups

... and change; metapuzzles; and self-referentiality. Nineteen chapters advance in difficulty from relatively simple to highly complex. 1982 edition. 240pp. 5 3/8 x 8 1/2. 0-486-47027-X SATAN, CANTOR AND INFINITY: Mind-Boggling Puzzles, ...

Author: Irving Kaplansky

Publisher: Courier Dover Publications

ISBN: 0486828506

Category: Mathematics

Page: 112

View: 276

This concise monograph presents the theory of infinite abelian groups in a convenient form and helps students acquire some of the techniques used in modern infinite algebra. 1969 edition.

Raymond Smullyan on Self Reference

Satan, Cantor and Infinity. Alfred A: Knopf. Smullyan, R.M. (1997).The riddle of Scheherazade and other amazing puzzles, ancient and modern. Alfred A: Knopf. Smullyan, R. M. (2002b). Some interesting memories: A paradoxical life.

Author: Melvin Fitting

Publisher: Springer

ISBN: 3319687328

Category: Philosophy

Page: 195

View: 462

This book collects, for the first time in one volume, contributions honoring Professor Raymond Smullyan’s work on self-reference. It serves not only as a tribute to one of the great thinkers in logic, but also as a celebration of self-reference in general, to be enjoyed by all lovers of this field. Raymond Smullyan, mathematician, philosopher, musician and inventor of logic puzzles, made a lasting impact on the study of mathematical logic; accordingly, this book spans the many personalities through which Professor Smullyan operated, offering extensions and re-evaluations of his academic work on self-reference, applying self-referential logic to art and nature, and lastly, offering new puzzles designed to communicate otherwise esoteric concepts in mathematical logic, in the manner for which Professor Smullyan was so well known. This book is suitable for students, scholars and logicians who are interested in learning more about Raymond Smullyan's work and life.

Logic and Language Models for Computer Science

Raymond Smullyan, Forever Undecided: A Puzzle Guide to Gödel, Knopf, 1987. A lively puzzle-oriented approach to undecidability and related concepts. Raymond Smullyan, Satan, Cantor and Infinity, Knopf, 1992. (Dover, 2009) A recreational ...

Author: Dana Richards

Publisher: World Scientific Publishing Company

ISBN: 9813229225

Category: Computers

Page: 468

View: 275

This text presents the formal concepts underlying Computer Science. It starts with a wide introduction to Logic with an emphasis on reasoning and proof, with chapters on Program Verification and Prolog. The treatment of computability with Automata and Formal Languages stands out in several ways: it emphasizes the algorithmic nature of the proofs and the reliance on simulations;it stresses the centrality of nondeterminism in generative models and the relationship to deterministic recognition models The style is appropriate for both undergraduate and graduate classes.

The Trickster and the Paranormal

... Rudy Rucker's Infinity and the Mind (1982) and The Fourth Dimension (1984), Jeremy Campbell's Grammatical Man (1982), Raymond Smullyan's Satan, Cantor, and Infinity (1992), and John Casti with Searching for Certainty (1990).

Author: George P. Hansen

Publisher: Xlibris Corporation

ISBN: 9781462812899

Category: Body, Mind & Spirit

Page: 564

View: 930

Paranormal and supernatural events have been reported for millennia. They have fostered history’s most important cultural transformations (e.g., via the miracles of Moses, Jesus, Mohammed). Paranormal phenomena are frequently portrayed in the world’s greatest art and literature, as well as in popular TV shows and movies. Most adults in the U.S. believe in them. Yet they have a marginal place in modern culture. No university departments are devoted to studying psychic phenomena. In fact, a panoply of scientists now aggressively denounces them. These facts present a deeply puzzling situation. But they become coherent after pondering the trickster figure, an archaic being found worldwide in mythology and folklore. The trickster governs paradox and the irrational, but his messages are concealed. This book draws upon theories of the trickster from anthropology, folklore, sociology, semiotics, and literary criticism. It examines psychic phenomena and UFOs and explains why they are so problematical for science.

Milton in the New Scientific Age

Satan's internal free fall, however, also brings us face-to-face with Galileo's “infinity paradox. ... twentieth-century mathematician, Georg Cantor, the inventor of the arithmetic of infinities, was the first to recognize.

Author: Catherine G. Martin

Publisher: Routledge

ISBN: 0429595506

Category: Literary Criticism

Page: 220

View: 950

Milton and the New Scientific Age represents significant advantages over all previous volumes on the subject of Milton and science, as it includes contributions from top scholars and prominent beginners in a broad number of fields. Most of these fields have long dominated work in both Milton and seventeenth-century studies, but they have previously not included the relatively new and revolutionary topic of early modern chemistry, physiology, and medicine. Previously this subject was confined to the history of science, with little if any attention to its literary development, even though it prominently appears in John Milton’s Paradise Lost, which also includes early "science fiction" speculations on aliens ignored by most readers. Both of these oversights are corrected in this essay collection, while more traditional areas of research have been updated. They include Milton’s relationship both to Bacon and the later or Royal Society Baconians, his views on astronomy, and his "vitalist" views on biology and cosmology. In treating these topics, our contributors are not mired in speculations about whether or not Milton was on the cutting edge of early science or science fiction, for, as nearly all of them show, the idea of a "cutting edge" is deeply anachronistic at a time when most scientists and scientific enthusiasts held both fully modern and backward-looking beliefs. By treating these combinations contextually, Milton’s literary contributions to the "new science" are significantly clarified along with his many contemporary sources, all of which merit study in their own right.