Search Results for "metamaths-the-quest-for-omega"

Meta Maths

Meta Maths

The Quest for Omega

  • Author: Gregory J. Chaitin
  • Publisher: N.A
  • ISBN: 9781843545248
  • Category: Computational complexity
  • Page: 220
  • View: 5811
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This is the story of Chaitin's revolutionary discovery - the omega number. The omega number is Chaitin's representation of the profound enigma at the heart of maths, which sheds light on the very nature of life itself.

Meta Math!

Meta Math!

The Quest for Omega

  • Author: Gregory Chaitin
  • Publisher: Vintage
  • ISBN: 0307488179
  • Category: Mathematics
  • Page: 240
  • View: 8563
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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 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 art—and the sheer beauty—in the science of math. From the Trade Paperback edition.

Wittgenstein and the Philosophy of Information

Wittgenstein and the Philosophy of Information

Proceedings of the 30th International Ludwig Wittgenstein-Symposium in Kirchberg, 2007

  • Author: Alois Pichler,Herbert Hrachovec
  • Publisher: Walter de Gruyter
  • ISBN: 3110328461
  • Category: Philosophy
  • Page: 351
  • View: 7920
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This is the first of two volumes of the proceedings from the 30th International Wittgenstein Symposium in Kirchberg, August 2007. In addition to several new contributions to Wittgenstein research (by N. Garver, M. Kross, St. Majetschak, K. Neumer, V. Rodych, L. M. Valdés-Villanueva), this volume contains articles with a special focus on digital Wittgenstein research and Wittgenstein's role for the understanding of the digital turn (by L. Bazzocchi, A. Biletzki, J. de Mul, P. Keicher, D. Köhler, K. Mayr, D. G. Stern), as well as discussions - not necessarily from a Wittgensteinian perspective - about issues in the philosophy of information, including computational ontologies (by D. Apollon, G. Chaitin, F. Dretske, L. Floridi, Y. Okamoto, M. Pasin and E. Motta).

New Theories of Everything

New Theories of Everything

The Quest for Ultimate Explanation

  • Author: John D. Barrow
  • Publisher: Oxford University Press
  • ISBN: 019954817X
  • Category: Science
  • Page: 260
  • View: 7052
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Cosmology & the universe.

Proving Darwin

Proving Darwin

Making Biology Mathematical

  • Author: Gregory Chaitin
  • Publisher: Vintage
  • ISBN: 0307907465
  • Category: Science
  • Page: 144
  • View: 8363
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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 biological diversity we see around us? It’s a question no one has yet answered—in fact, no one has even attempted to answer it until now. In this illuminating and provocative book, Gregory Chaitin argues that we can’t be sure evolution makes sense without a mathematical theory. He elucidates the mathematical scheme he’s 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.