WorldCat Identities

Chaitin, Gregory J.

Overview
Works: 67 works in 340 publications in 4 languages and 7,440 library holdings
Genres: Interviews  Popular works  Filmed interviews  Educational films 
Roles: Author, Author of introduction
Publication Timeline
.
Most widely held works by Gregory J Chaitin
Meta math! : the quest for omega by Gregory J Chaitin( Book )

31 editions published between 2005 and 2008 in English and Undetermined and held by 809 WorldCat member libraries worldwide

Explores the enigmas, paradoxes, and random qualities that exist within the field of mathematics and discusses the author's groundbreaking discovery of the Omega number, a complex representation of unknowability
Algorithmic information theory by Gregory J Chaitin( Book )

50 editions published between 1977 and 2004 in English and Undetermined and held by 702 WorldCat member libraries worldwide

Chaitin, the inventor of algorithmic information theory, presents in this book the strongest possible version of Gödel's incompleteness theorem, using an information theoretic approach based on the size of computer programs. One half of the book is concerned with studying the halting probability of a universal computer if its program is chosen by tossing a coin. The other half is concerned with encoding the halting probability as an algebraic equation in integers, a so-called exponential diophantine equation
The limits of mathematics : a course on information theory and limits of formal reasoning by Gregory J Chaitin( Book )

35 editions published between 1997 and 2014 in English and held by 534 WorldCat member libraries worldwide

"This book presents the final version of Chaitin's course on the limits of mathematical reasoning. This course uses algorithmic information theory to show that mathematics has serious limitations, and features a new more didactic approach to algorithmic information theory using LISP and Mathematica software. The thesis of the book is that the incompleteness phenomenon discovered by Godel is much more widespread and serious than hitherto suspected."--Jacket
Proving Darwin : making biology mathematical by Gregory J Chaitin( Book )

6 editions published between 2012 and 2013 in English and held by 400 WorldCat member libraries worldwide

Explains how evolution works on a mathematical level, arguing that mathematical theory is an essential part of evolution while highlighting mathematical principles in the biological world
Information, randomness & incompleteness : papers on algorithmic information theory by Gregory J Chaitin( Book )

24 editions published between 1987 and 1990 in English and Italian and held by 383 WorldCat member libraries worldwide

The papers gathered in this book were published over a period of more than twenty years in widely scattered journals. They led to the discovery of randomness in arithmetic which was presented in the recently published monograph on "Algorithmic Information Theory" by the author. There the strongest possible version of Gödel's incompleteness theorem, using an information-theoretic approach based on the size of computer programs, was discussed. The present book is intended as a companion volume to the monograph and it will serve as a stimulus for work on complexity, randomness and unpredictability, in physics and biology as well as in metamathematics
The unknowable by Gregory J Chaitin( Book )

23 editions published between 1999 and 2001 in English and Japanese and held by 379 WorldCat member libraries worldwide

"This companion volume to Chaitin's "The Limits of Mathematics", also published by Springer, gives a historical survey of the work this century on the foundations of mathematics, in which the author was a major participant. "The Unknowable" is a readable and concrete introduction to Chaitin's ideas, and it includes a detailed explanation of the programming language used by Chaitin in both volumes. It will enable computer users to interact with the author's proofs and discover for themselves how they work. The software for "The Unknowable" can be downloaded from the author's Web site."--Jacket
Exploring randomness by Gregory J Chaitin( Book )

16 editions published between 2000 and 2002 in English and held by 304 WorldCat member libraries worldwide

This essential companion volume to CHAITIN's highly successful books The Unknowable and The Limits of Mathematics, also published by Springer, presents the technical core of his theory of program-size complexity, also known as algorithmic information theory. (The two previous volumes are more concerned with applications to meta-mathematics.) LISP is used to present the key algorithms and to enable computer users to interact with the author's proofs and discover for themselves how they work. The LISP code for this book is available at the author's Web site together with a Java applet LISP interpreter: http://www.cs.auckland.ac.nz/CDMTCS/chaitin/ait/ "No one has looked deeper and farther into the abyss of randomness and its role in mathematics than Greg Chaitin. This book tells you everything he's seen. Don't miss it." John Casti, Santa Fe Institute, Author of "Goedel: A Life of Logic."
Gödel's way : exploits into an undecidable world by Gregory J Chaitin( Book )

9 editions published between 2011 and 2012 in English and Undetermined and held by 236 WorldCat member libraries worldwide

"This accessible book gives a new detailed and elementary proof of the Gödel incompleteness theorems and then presents the Chaitin results and their relation to the da Costa-Doria results, which are given in full, but with no technicalities. Besides theory, the lively historical report, the personal stories about the main character, and the writing process of this volume make it appealing leisure reading for those interested in mathematics, logic, physics, philosophy and computer sciences"--
Thinking about Gödel and Turing : essays on complexity, 1970-2007 by Gregory J Chaitin( Book )

20 editions published between 2007 and 2008 in English and held by 196 WorldCat member libraries worldwide

On the difficulty of computations -- Information-theoretic computational complexity -- Randomness and mathematical proof -- Gd̈el's theorem and information -- Randomness in arithmetic -- Randomness in arithmetic and the decline & fall of reductionism in pure mathematics -- A century of controversy over the foundations of mathematics -- A century of controversy over the foundations of mathematics -- Metamathematics and the foundations of mathematics -- Paradoxes of randomness -- Two philosophical applications of algorithmic information theory -- On the intelligibility of the universe and the notions of simplicity, complexity and irreducibility -- Leibniz, information, math & physics -- Leibniz, randomness & the halting probability -- Complexity & Leibniz -- The limits of reason -- How real are real numbers? -- Epistemology as information theory: From Leibniz to [symbol] -- Is incompleteness a serious problem? -- Speculations on biology, information & complexity -- How much information can there be in a real number? -- The halting probability [symbol]: irreducible complexity in pure mathematics -- The halting probability [symbol]: concentrated creativity
Information-theoretic incompleteness by Gregory J Chaitin( Book )

10 editions published between 1992 and 1998 in English and Undetermined and held by 141 WorldCat member libraries worldwide

In this mathematical autobiography, Gregory Chaitin presents a technical survey of his work and a nontechnical discussion of its significance. The volume is an essential companion to the earlier collection of Chaitin's papers Information, Randomness and Incompleteness, also published by World Scientific. The technical survey contains many new results, including a detailed discussion of LISP program size and new versions of Chaitin's most fundamental information-theoretic incompleteness theorems. The nontechnical part includes the lecture given by Chaitin in Gšdel's classroom at the University o
Randomness and complexity : from Leibniz to Chaitin by Cristian Calude( Book )

10 editions published in 2007 in English and held by 107 WorldCat member libraries worldwide

The book is a collection of papers written by a selection of eminent authors from around the world in honour of Gregory Chaitin's 60th birthday. This is a unique volume including technical contributions, philosophical papers and essays
Hasard et complexité en mathématiques by Gregory J Chaitin( Book )

2 editions published in 2009 in French and held by 77 WorldCat member libraries worldwide

Pioneers. against method( Visual )

1 edition published in 2016 in English and held by 66 WorldCat member libraries worldwide

Gregory Chaitin (b. 1947) is a mathematician, an expert in complexity. Already as a young prodigy he contributed greatly to the philosophy of mathematics and computer science. Chaitin states that although there are truths in science that cannot be proven, there is reason for huge optimism. He sketches a theory of the source of beauty and creativity in nature. We’ll be meeting Chaitin at the tiny Brazilian island of Paqueta, his philosophical retreat. About the Series: Pioneers is one and only film project devoted to the most unorthodox contemporary thinkers who have had the courage to challenge current paradigms. The emotions of discovering and stress-testing new theories; the passion which prompts one to go against the expectations of others, against the “publish or die” model; the joys and sorrows of exploring frontiers of the known and the unknown – this is what Pioneers is about
Conversations with a mathematician : math, art, science, and the limits of reason : a collection of his most wide-ranging and non-technical lectures and interviews by Gregory J Chaitin( Book )

13 editions published between 2001 and 2003 in English and held by 63 WorldCat member libraries worldwide

G.J. Chaitin is at the IBM Thomas J. Watson Research Center in New York. He has shown that God plays dice not only in quantum mechanics, but even in the foundations of mathematics, where Chaitin discovered mathematical facts that are true for no reason, that are true by accident. This book collects his most wide-ranging and non-technical lectures and interviews, and it will be of interest to anyone concerned with the philosophy of mathematics, with the similarities and differences between physics and mathematics, or with the creative process and mathematics as an art. "Chaitin has put a scratch on the rock of eternity." Jacob T. Schwartz, Courant Institute, New York University, USA "(Chaitin is) one of the great ideas men of mathematics and computer science." Marcus Chown, author of The Magic Furnace, in NEW SCIENTIST "Finding the right formalization is a large component of the art of doing great mathematics." John Casti, author of Mathematical Mountaintops, on Godel, Turing and Chaitin in NATURE "What mathematicians over the centuries - from the ancients, through Pascal, Fermat, Bernoulli, and de Moivre, to Kolmogorov and Chaitin - have discovered, is that it ÄrandomnessÜ is a profoundly rich concept." Jerrold W. Grossman in the MATHEMATICAL INTELLIGENCER
Logica matematica : strutture rappresentazioni deduzioni by Vincenzo Manca( Book )

2 editions published in 2001 in Italian and held by 18 WorldCat member libraries worldwide

The limits of mathematics by Gregory J Chaitin( Book )

8 editions published between 1994 and 2001 in English and Japanese and held by 17 WorldCat member libraries worldwide

Abstract: "This condensed version of RC 20190 will be the main hand-out for a course on algorithmic information theory to be given 22-29 May 1996 at the Rovaniemi Institute of Technology, Rovaniemi, Finland (see announcement at http://www.rotol.fi)."
Information and randomness : an algorithmic perspective by Cristian Calude( Book )

6 editions published between 1994 and 2002 in English and held by 12 WorldCat member libraries worldwide

The book presents in a mathematical clear way the fundamentals of algorithmic information theory and a few selected applications. This 2nd edition presents new and important results obtained in recent years: the characterization of computable enumerable random reals, the construction of an Omega Number for which ZFC cannot determine any digits, and the first successful attempt to compute the exact values of 64 bits of a specific Omega Number. Finally, the book contains a discussion of some interesting philosophical questions related to randomness and mathematical knowledge. "Professor Calude has produced a first-rate exposition of up-to-date work in information and randomness." D.S. Bridges, Canterbury University, co-author, with Errett Bishop, of Constructive Analysis; "The second edition of this classic work is highly recommended to anyone interested in algorithmic information and randomness." G.J. Chaitin, IBM Research Division, New York, author of Conversations with a Mathematician; "This book is a must for a comprehensive introduction to algorithmic information theory and for anyone interested in its applications in the natural sciences." K. Svozil, Technical University of Vienna, author of Randomness & Undecidability in Physics
Alla ricerca di omega by Gregory J Chaitin( Book )

2 editions published in 2007 in Italian and held by 12 WorldCat member libraries worldwide

Teoria algoritmica della complessità by Gregory J Chaitin( Book )

1 edition published in 2006 in Italian and held by 9 WorldCat member libraries worldwide

Numeri, caso e sequenze by Roberto Magari( Book )

1 edition published in 1988 in Italian and held by 8 WorldCat member libraries worldwide

 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.50 (from 0.02 for Randomness ... to 0.98 for Teoria alg ...)

Meta math! : the quest for omega
Alternative Names
Chaitin, G. J.

Chaitin, G. J. 1947-

Chaitin, G. J. (Gregory J.)

Chaitin , Gregory

Chaitin, Gregory 1947-

Chaitin, Gregory J.

Chaitin, Gregory John

Chaitin, Gregory John 1947-

Gregori Dzon Cejtin

Gregory Chaitin Amerikaans wiskundige

Gregory Chaitin amerikansk datavetare och matematiker

Gregory Chaitin amerikansk informatikar og matematikar

Gregory Chaitin amerikansk informatiker og matematiker

Gregory Chaitin matematico e informatico argentino naturalizzato statunitense

Gregory Chaitin mathématicien américain

Gregory Chaitin US-amerikanischer Mathematiker

Хайтин, Грегори

غريغوري تشايتين

グレゴリー・チャイティン

チャイティン, G. J

チャイティン, グレゴリー

チャイティン, グレゴリー・J

格里戈里·蔡廷

Languages
Covers
Algorithmic information theoryThe limits of mathematics : a course on information theory and limits of formal reasoningThe unknowableExploring randomnessThinking about Gödel and Turing : essays on complexity, 1970-2007Randomness and complexity : from Leibniz to ChaitinConversations with a mathematician : math, art, science, and the limits of reason : a collection of his most wide-ranging and non-technical lectures and interviewsInformation and randomness : an algorithmic perspective