The Godel Operation

The Godel Operation PDF Author: James L. Cambias
Publisher: Baen Books
ISBN: 1625798083
Category : Fiction
Languages : en
Pages : 345

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Book Description
Science fiction at its sense-of-wonder best. A wild chase through the billion worlds of the Tenth Millennium in search of a mythical weapon that could save civilization—or doom it! A DROID AND HIS BOY, ON A SEARCH FOR A LEGENDARY WEAPON Daslakh is an AI with a problem. Its favorite human, a young man named Zee, is in love with a woman who never existed—and he will scour the Solar System to find her. But in the Tenth Millennium, a billion worlds circle the Sun—everything from terraformed planets to artificial habitats, home to a quadrillion beings. Daslakh’s nicely settled life gets more complicated when Zee helps a woman named Adya escape a gang of crooks. This gets the pair caught up in the hunt for the Godel Trigger, a legendary weapon left over from an ancient war between humans and machines—which could spell the end of civilization. In their search, they face a criminal cat and her henchmen, a paranoid supermind with a giant laser, the greatest thief in history, and a woman who might actually be Zee’s lost love. It’s up to Daslakh to save civilization, keep Zee’s love life on the right track—and make sure that nobody discovers the real secret of the Godel Trigger. At the publisher's request, this title is sold without DRM (Digital Rights Management). Praise for the work of James L. Cambias: “Beautifully written, with a story that captures the imagination the way SF should.”—Booklist, starred review “An engaging nail-biter that is exciting, fun and a satisfying read.”—The Qwillery '“An impressive debut by a gifted writer.”—Publishers Weekly, starred review “An exceptionally thoughtful, searching and intriguing debut.”—Kirkus, starred review “James Cambias will be one of the century's major names in hard science fiction.”—Robert J. Sawyer, Hugo Award–winning author of Red Planet Blues “Fast-paced, pure quill hard science fiction. . . . Cambias delivers adroit plot pivots that keep the suspense coming.”—Gregory Benford, Nebula Award-winning author of Timescape

The Godel Operation

The Godel Operation PDF Author: James L. Cambias
Publisher: Baen Books
ISBN: 1625798083
Category : Fiction
Languages : en
Pages : 345

Get Book

Book Description
Science fiction at its sense-of-wonder best. A wild chase through the billion worlds of the Tenth Millennium in search of a mythical weapon that could save civilization—or doom it! A DROID AND HIS BOY, ON A SEARCH FOR A LEGENDARY WEAPON Daslakh is an AI with a problem. Its favorite human, a young man named Zee, is in love with a woman who never existed—and he will scour the Solar System to find her. But in the Tenth Millennium, a billion worlds circle the Sun—everything from terraformed planets to artificial habitats, home to a quadrillion beings. Daslakh’s nicely settled life gets more complicated when Zee helps a woman named Adya escape a gang of crooks. This gets the pair caught up in the hunt for the Godel Trigger, a legendary weapon left over from an ancient war between humans and machines—which could spell the end of civilization. In their search, they face a criminal cat and her henchmen, a paranoid supermind with a giant laser, the greatest thief in history, and a woman who might actually be Zee’s lost love. It’s up to Daslakh to save civilization, keep Zee’s love life on the right track—and make sure that nobody discovers the real secret of the Godel Trigger. At the publisher's request, this title is sold without DRM (Digital Rights Management). Praise for the work of James L. Cambias: “Beautifully written, with a story that captures the imagination the way SF should.”—Booklist, starred review “An engaging nail-biter that is exciting, fun and a satisfying read.”—The Qwillery '“An impressive debut by a gifted writer.”—Publishers Weekly, starred review “An exceptionally thoughtful, searching and intriguing debut.”—Kirkus, starred review “James Cambias will be one of the century's major names in hard science fiction.”—Robert J. Sawyer, Hugo Award–winning author of Red Planet Blues “Fast-paced, pure quill hard science fiction. . . . Cambias delivers adroit plot pivots that keep the suspense coming.”—Gregory Benford, Nebula Award-winning author of Timescape

On Formally Undecidable Propositions of Principia Mathematica and Related Systems

On Formally Undecidable Propositions of Principia Mathematica and Related Systems PDF Author: Kurt Gödel
Publisher: Courier Corporation
ISBN: 0486158403
Category : Mathematics
Languages : en
Pages : 82

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Book Description
First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. Introduction by R. B. Braithwaite.

Gödel's Disjunction

Gödel's Disjunction PDF Author: Leon Horsten
Publisher: Oxford University Press
ISBN: 0198759592
Category : Mathematics
Languages : en
Pages : 289

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Book Description
The logician Kurt Godel in 1951 established a disjunctive thesis about the scope and limits of mathematical knowledge: either the mathematical mind is not equivalent to a Turing machine (i.e., a computer), or there are absolutely undecidable mathematical problems. In the second half of the twentieth century, attempts have been made to arrive at a stronger conclusion. In particular, arguments have been produced by the philosopher J.R. Lucas and by the physicist and mathematician Roger Penrose that intend to show that the mathematical mind is more powerful than any computer. These arguments, and counterarguments to them, have not convinced the logical and philosophical community. The reason for this is an insufficiency if rigour in the debate. The contributions in this volume move the debate forward by formulating rigorous frameworks and formally spelling out and evaluating arguments that bear on Godel's disjunction in these frameworks. The contributions in this volume have been written by world leading experts in the field.

The shackles of conviction

The shackles of conviction PDF Author: James R. Meyer
Publisher:
ISBN: 9781906706005
Category : Fiction
Languages : en
Pages : 346

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Book Description


Routledge Companion to Philosophy of Language

Routledge Companion to Philosophy of Language PDF Author: Gillian Russell
Publisher: Routledge
ISBN: 1136594078
Category : Language Arts & Disciplines
Languages : en
Pages : 941

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Book Description
Philosophy of language is the branch of philosophy that examines the nature of meaning, the relationship of language to reality, and the ways in which we use, learn, and understand language. The Routledge Companion to Philosophy of Language provides a comprehensive and up-to-date survey of the field, charting its key ideas and movements, and addressing contemporary research and enduring questions in the philosophy of language. Unique to this Companion is clear coverage of research from the related disciplines of formal logic and linguistics, and discussion of the applications in metaphysics, epistemology, ethics and philosophy of mind. Organized thematically, the Companion is divided into seven sections: Core Topics; Foundations of Semantics; Parts of Speech; Methodology; Logic for Philosophers of Language; Philosophy of Language for the Rest of Philosophy; and Historical Perspectives. Comprised of 70 never-before-published essays from leading scholars--including Sally Haslanger, Jeffrey King, Sally McConnell-Ginet, Rae Langton, Kit Fine, John MacFarlane, Jeff Pelletier, Scott Soames, Jason Stanley, Stephen Stich and Zoltan Gendler Szabo--the Routledge Companion to Philosophy of Language promises to be the most comprehensive and authoritative resource for students and scholars alike.

Set Theory

Set Theory PDF Author: Thomas Jech
Publisher: Springer Science & Business Media
ISBN: 3662224003
Category : Mathematics
Languages : en
Pages : 642

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Book Description
The main body of this book consists of 106 numbered theorems and a dozen of examples of models of set theory. A large number of additional results is given in the exercises, which are scattered throughout the text. Most exer cises are provided with an outline of proof in square brackets [ ], and the more difficult ones are indicated by an asterisk. I am greatly indebted to all those mathematicians, too numerous to men tion by name, who in their letters, preprints, handwritten notes, lectures, seminars, and many conversations over the past decade shared with me their insight into this exciting subject. XI CONTENTS Preface xi PART I SETS Chapter 1 AXIOMATIC SET THEORY I. Axioms of Set Theory I 2. Ordinal Numbers 12 3. Cardinal Numbers 22 4. Real Numbers 29 5. The Axiom of Choice 38 6. Cardinal Arithmetic 42 7. Filters and Ideals. Closed Unbounded Sets 52 8. Singular Cardinals 61 9. The Axiom of Regularity 70 Appendix: Bernays-Godel Axiomatic Set Theory 76 Chapter 2 TRANSITIVE MODELS OF SET THEORY 10. Models of Set Theory 78 II. Transitive Models of ZF 87 12. Constructible Sets 99 13. Consistency of the Axiom of Choice and the Generalized Continuum Hypothesis 108 14. The In Hierarchy of Classes, Relations, and Functions 114 15. Relative Constructibility and Ordinal Definability 126 PART II MORE SETS Chapter 3 FORCING AND GENERIC MODELS 16. Generic Models 137 17. Complete Boolean Algebras 144 18.

Gödel's Theorem

Gödel's Theorem PDF Author: Torkel Franzén
Publisher: CRC Press
ISBN: 1439876924
Category : Mathematics
Languages : en
Pages : 182

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Book Description
"Among the many expositions of Gödel's incompleteness theorems written for non-specialists, this book stands apart. With exceptional clarity, Franzén gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of Logical Dilemmas: The Life and Work of Kurt Gödel

Arkad's World

Arkad's World PDF Author: James L. Cambias
Publisher: Baen
ISBN: 9781982124328
Category : Fiction
Languages : en
Pages : 0

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Book Description
ADVENTURE AND EXCITEMENT ON AN ALIEN WORLD. Packed with exotic world-building and amazing characters, Arkad's World is a rollicking adventure story about growing up and the things we share that make us human, from celebrated author James L. Cambias. CROSS A MAD PLANET FOR TREASURE - AND FREEDOM Young Arkad is the only human on a distant world, on his own among beings from across the Galaxy. His struggle to survive on the lawless streets of an alien city is disrupted by the arrival of three humans: an eccentric historian named Jacob, a superhuman cyborg girl called Baichi, and a mysterious ex-spy known as Ree. They seek a priceless treasure that might free Earth from alien domination. Arkad risks everything to join them on an incredible quest halfway across the planet. With his help, they cross the fantastic landscape, battling pirates, mercenaries, bizarre creatures, vicious bandits, and the harsh environment. But the deadliest danger comes from treachery and betrayal within the group, as dark secrets and hidden loyalties come to light. Praise for Arkad's World: “Far-flung adventure . . . Cambias offers up an entertaining coming-of-age novel filled with action and surprises. His aliens are suitably non-human in mannerisms, attitudes, and objectives, and his worldbuilding suggests a vast universe ready for further exploration. Readers . . . will find this hits the spot.”—Publishers Weekly “. . . a classic quest story, a well-paced series of encounters with different folk along the way, building momentum toward a final confrontation with Arkad's past . . . [with] a delicious twist to the end.”—ALA Booklist "Cambias has achieved a feat of world-building: an expansive, believable setting with fascinating aliens, compelling mysteries, and a rich sense of history."—Bookpage "Drop a teenage boy into a distant planet chock full of colorful aliens—with troubles all their own. Stir, flavor, apply heat. A tour de force in the field, and great, quick fun."—Gregory Benford Praise for the work of James L. Cambias: "Beautifully written, with a story that captures the imagination the way SF should."—Booklist, Starred Review “An engaging nail-biter that is exciting, fun and a satisfying read.” —The Qwillery ''An impressive debut by a gifted writer.''—Publishers Weekly, Starred Review ''An exceptionally thoughtful, searching and intriguing debut.''—Kirkus, Starred Review "James Cambias will be one of the century's major names in hard science fiction.''—Robert J. Sawyer, Hugo Award-winning author of Red Planet Blues "Fast-paced, pure quill hard science fiction. . . . Cambias delivers adroit plot pivots that keep the suspense coming.''—Gregory Benford, Nebula Award-winning author of Timescape

Partial Differential Equations and the Calculus of Variations

Partial Differential Equations and the Calculus of Variations PDF Author: COLOMBINI
Publisher: Springer Science & Business Media
ISBN: 1461598281
Category : Mathematics
Languages : en
Pages : 530

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Book Description
The Italian school of Mathematical Analysis has long and glo rious traditions. In the last thirty years it owes very much to the scientific pre-eminence of Ennio De Giorgi, Professor of Mathemati cal Analysis at the Scuola Normale Superiore di Pisa. His fundamental theorems in Calculus of Variations, in Minimal Surfaces Theory, in Partial Differential Equations, in Axiomatic Set Theory as well as the fertility of his mind to discover both general mathematical structures and techniques which frame many different problems, and profound and meaningful examples which show the limits of a theory and give origin to new results and theories, makes him an absolute reference point for all Italian mathematicians, and a well-known and valued personage in the international mathematical world. We have been students of Ennio de Giorgi. Now, we are glad to present to him, together with all his collegues, friends and former students, these Essays of Mathematical Analysis written in his hon our on the occasion of his sixtieth birthday (February 8th, 1988), with our best wishes and our thanks for all he gave in the past and will give us in the future. We have added to the research papers of this book the text of a conversation with Ennio De Giorgi about the diffusion and the communication of science and, in particular, of Mathematics.

Foundational Aspects of "non"standard Mathematics

Foundational Aspects of Author: David Ballard
Publisher: American Mathematical Soc.
ISBN: 0821802933
Category : Mathematics
Languages : en
Pages : 135

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Book Description
This work proposes a major new extension of 'non' standard mathematics. Addressed to a general mathematical audience, the book is intended to be philosophically provocative. The model theory on which 'non' standard mathematics has been based is first reformulated within point set topology, which facilitates proofs and adds perspective. These topological techniques are then used to give new, uniform conservativity proofs for the various versions of 'non'standard mathematics proposed by Nelson, Hrbacek, and Kawai.The proofs allow for sharp comparison. Addressing broader issues, Ballard then argues that what is novel in these forms of 'non'standard mathematics is the introduction, however tentative, of relativity in one's mathematical environment. This hints at the possibility of a mathematical environment which is radically relativistic. The work's major and final feature is to present and prove conservative a version of 'non'standard mathematics which, for the first time, illustrates this full radical relativism. The book is entirely self-contained, with all necessary background in point set topology, model theory, 'non'standard analysis, and set theory provided in full.