Gregory Chaitin

Gregory Chaitin, one of the worlds foremost mathematicians, leads us on a spellbinding journey, illuminating the process by which he arrived at his groundbreaking theory.Chaitins 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 narrative, Chaitin delineates the specific intellectual and intuitive steps he took toward the discovery. He takes us to the very frontiers of scientific thinking, and helps us to appreciate the artand the sheer beautyin the science of math.

Groundbreaking mathematician Gregory Chaitin gives us the first book to posit that we can prove how Darwins 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 Earths life-forms evolved by blind chance. But does Darwins theory function on a purely mathematical level? Has there been enough time for evolution to produce the remarkable biological diversity we see around us? Its a question no one has yet answeredin fact, no one has even attempted to answer it until now. In this illuminating and provocative book, Gregory Chaitin argues that we cant be sure evolution makes sense without a mathematical theory. He elucidates the mathematical scheme hes developed that can explain life itself, and examines the works of mathematical pioneers John von Neumann and Alan Turing through the lens of biology. Chaitin presents an accessible introduction to metabiology, a new way of thinking about biological science that highlights the mathematical structures underpinning the biological world. Fascinating and thought-provoking, Proving Darwin makes clear how biology may have found its greatest ally in mathematics.

Unaásorprendenteádemostración matemática de la teoría darwiniana de la evolución.Al igual que, siglos atrás, la física realizó grandes avances gracias a que científicos como Galileo, Kepler o Newton se atrevieron a buscar las estructuras matematicas que subyacen a la realidad, Chaitin explora las estructuras algoritmicas de la biologia al tiempo que inicia al lector en la novedosa metabiologia. Chaitin recurre a los primeros teoricos de la computacion, como John von Neumann, Alan Turing o Kurt Godel (cuyos trabajos dieron pie a la creacion de los primeros ordenadores), y presenta un modelo matematico que demuestra uno de los postulados fundamentales de la teoria darwinista de la evolucion: la seleccion natural de las especies a traves de mutaciones azarosas.

Un brillante ensayo sobre los fundamentos y los límites de las matemáticas.El revolucionario hallazgo de Chaitin, el número Omega, es una representación exquisitamente lograda de aquello que las matematicas deben a la intuicion y la experiencia. Sus investigaciones arrojan luz sobre lo que podemos llegar a saber acerca del universo y la propia naturaleza de la vida. Chaitin esboza los pasos intelectuales e intuitivos especificos que lo llevaron hasta su descubrimiento, nos conduce hasta los mismisimos limites del pensamiento cientifico y nos ayuda a apreciar el arte que reside en la ciencia de las matematicas. El autor nos muestra que las matematicas tienen tanto de arte como de logica, y contienen tanta ciencia experimental como puro razonamiento.