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La teoria dell'evoluzione delle specie per selezione naturale è una delle grandi rivoluzioni culturali dell'ultimo secolo e mezzo, una teoria la cui validità è stata dimostrata da un'infinità di conferme empiriche. Con buona pace di creazionisti e sostenitori di disegni (più o meno) intelligenti. Gregory Chaitin ha deciso di mettere ancora una volta "Darwin alla prova", e ha sfidato se stesso a elaborare un modello matematico dell'evoluzione, ...

Groundbreaking mathematician Gregory Chaitin gives us the first book to posit that we can prove how Darwin's theory of evolution works on a mathematical level. For years it has been received wisdom among most scientists that, just as Darwin claimed, all of the Earth's life-forms evolved by blind chance. But does Darwin's theory function on a purely mathematical level? Has there been enough time for evolution to produce the remarkable biologi...

This book contains in easily accessible form all the main ideas of the creator and principal architect of algorithmic information theory. This expanded second edition has added thirteen abstracts, a 1988 Scientific American Article, a transcript of a EUROPALIA 89 lecture, an essay on biology, and an extensive bibliography. Its new larger format makes it easier to read. Chaitin's ideas are a fundamental extension of those of G del and Turning a...

Groundbreaking mathematician Chaitin posits that evolution works on a mathematical level. He argues evolution can't makes sense without a mathematical theory, and explains the mathematical scheme he's developed for life itself.

The G del incompleteness phenomenon is usually presented in textbooks as something that happens in the rarefied realms of mathematical logic, and has nothing to do with the real world. It is not so. Based on Chaitin 's groundbreaking work and on the da Costa-Doria results in physics, ecology, economics and computer science, this book shows that it can directly bear on the practice of science and perhaps on our everyday life. This new accessibl...

This essential companion to Chaitin's successful books The Unknowable and The Limits of Mathematics, presents the technical core of his theory of program-size complexity. 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 authors proofs and discover for themselves how they work. The LISP code for this book is available a...

In this mathematical autobiography, Chaitin presents a technical survey of his work and a non-technical discussion of its significance. The volume is a companion to the earlier collection of Chaitin's papers "Information, Randomness and Incompleteness" also published by World Scientific.

Now in paperback: one of the world's greatest mathematicians explains his revolutionary hypothesis about the enigma at the heart of maths: omega (?). 'Chaitin comes across as a kind of mathematical Richard Feynman, intuitive and high-spirited, irreverent and plain-spoken.' Peter Pesic, TLS

As a teenager, Greg created independently of Kolmogorov and Solomonoff, what we call today algorithmic information theory, a sub­ ject of which he is the main architect. His 1965 paper on gedanken experiments on automata, which he wrote when he was in high school, is still of interest today. He was also heavily involved in IBM, where he has worked for almost thirty years, on the development of RISC technology. Greg's results are widely quoted....

One will find [Information, Randomness and Incompleteness] all kinds of articles which are popularizations or epistemological reflections and presentations which permit one to rapidly obtain a precise idea of the subject and of some of its applications (in particular in the biological domain). Very complete, it is recommended to anyone who is interested in algorithmic information theory." (translated) Jean-Paul Delahaye in La Recherche "No one...

This essential companion to Chaitin's successful books The Unknowable and The Limits of Mathematics, presents the technical core of his theory of program-size complexity. 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 authors proofs and discover for themselves how they work. The LISP code for this book is available a...

Expounds G del's incompleteness theorey using an information theoretic approach based on the size of computer programs.

Tutta la scienza d'Occidente poggia sulla matematica, ma sin dagli anni Trenta i matematici sono divenuti penosamente consapevoli del fatto che la loro disciplina soffre di serie limitazioni. Gregory Chaitin ne ha ampliato il concetto, sostenendo che vi sono molte condizioni dove le verità non possono essere dimostrate da alcuna regola a priori. Il matematico ha trovato nel numero Omega il concetto chiave per confermare l'incompletezza della s...

Gregory Chaitin, one of the world's foremost mathematicians, leads us on a spellbinding journey, illuminating the process by which he arrived at his groundbreaking theory. Chaitin's revolutionary discovery, the Omega number, is an exquisitely complex representation of unknowability in mathematics. His investigations shed light on what we can ultimately know about the universe and the very nature of life. In an infectious and enthusiastic narra...

In this mathematical autobiography, Chaitin presents a technical survey of his work and a non-technical discussion of its significance. The volume is a companion to the earlier collection of Chaitin's papers "Information, Randomness and Incompleteness" also published by World Scientific.

Dr Gregory Chaitin, one of the world's leading mathematicians, is best known for his discovery of the remarkable O number, a concrete example of irreducible complexity in pure mathematics which shows that mathematics is infinitely complex. In this volume, Chaitin discusses the evolution of these ideas, tracing them back to Leibniz and Borel as well as G¿del and Turing.This book contains 23 non-technical papers by Chaitin, his favorite tutorial...

Dr Gregory Chaitin, one of the world's leading mathematicians, is best known for his discovery of the remarkable O number, a concrete example of irreducible complexity in pure mathematics which shows that mathematics is infinitely complex. In this volume, Chaitin discusses the evolution of these ideas, tracing them back to Leibniz and Borel as well as G¿del and Turing.This book contains 23 non-technical papers by Chaitin, his favorite tutorial...

The author, G. J. Chaitin, shows that God plays dice not only in quantum mechanics but also in the foundations of mathematics. According to Chaitin there exist mathematical facts that are true for no reason. This fascinating and provocative text contains a collection of his most wide-ranging and non-technical lectures and interviews. It will be of interest to anyone concerned with the philosophy of mathematics, the similarities and differences...

This essential companion to Chaitins highly successful The Limits of Mathematics, gives a brilliant historical survey of important work on the foundations of mathematics. The Unknowable is a very readable introduction to Chaitins ideas, and includes software (on the authors website) that will enable users to interact with the authors proofs. "Chaitins new book, The Unknowable, is a welcome addition to his oeuvre. In it he manages to bring his ...