Gödel's Disjunction

Gödel's Disjunction ebook complet au format Pdf, ePub et Kindle. Gödel's Disjunction de Leon Horsten,Philip Welch, publié par Oxford University Press le 2016-09-08 avec 576 pages. Gödel's Disjunction est l'un des livres populaires de Mathematics parmi de nombreux autres livres complets sur amazon kindle illimité, cliquez sur Obtenir un livre pour commencer à lire et télécharger des livres en ligne gratuitement dès maintenant. Obtenez plus d'avantages avec l'essai gratuit Kindle Unlimited, vous pouvez lire autant de livres que vous le souhaitez maintenant.

  • Gödel's Disjunction

  • Auteur : Leon Horsten,Philip Welch
  • Editeur : Oxford University Press
  • Isbn Code : 0191077690
  • Genre : Mathematics
  • Nombre de pages : 288
  • Date de publication : 2016-09-08
  • Évaluation des livres 4.5
    Par 38 lecteurs

The logician Kurt Gödel 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 Gödel's disjunction in these frameworks. The contributions in this volume have been written by world leading experts in the field.

This book offers the most complete and up-to-date overview of the philosophical work of Evandro Agazzi, presently the most important Italian philosopher of science and one of the most influential in the world. Scholars from s ...

GET BOOK

This book contains more than 15 essays that explore issues in truth, existence, and explanation. It features cutting-edge research in the philosophy of mathematics and logic. Renowned philosophers, mathematicians, and younger ...

GET BOOK

This book provides a critical reflection on automated science and addresses the question whether the computational tools we developed in last decades are changing the way we humans do science. More concretely: Can machines re ...

GET BOOK

This book constitutes the strictly refereed post-workshop proceedings of the 12th International Workshop on Computer Science Logic, CSL '98, held as the Annual Conference of the European Association on Computer Science Logic ...

GET BOOK

This book constitutes the refereed proceedings of the Second International Conference on Web Reasoning and Rule Systems, RR 2008, held in Karlsruhe, Germany in October/November 2008. The 12 revised full papers, 4 revised shor ...

GET BOOK

The philosophy of mathematics is an exciting subject. Philosophy of Mathematics: Classic and Contemporary Studies explores the foundations of mathematical thought. The aim of this book is to encourage young mathematicians to ...

GET BOOK

The History of Philosophical and Formal Logic introduces ideas and thinkers central to the development of philosophical and formal logic. From its Aristotelian origins to the present-day arguments, logic is broken down into f ...

GET BOOK

Gödel's true-but-unprovable sentence from the first incompleteness theorem is purely logical in nature, i.e. not mathematically natural or interesting. An interesting problem is to find mathematically natural and interesting ...

GET BOOK

The fundamental texts of the great classical period in modern logic, some of them never before available in English translation, are here gathered together for the first time. Modern logic, heralded by Leibniz, may be said to ...

GET BOOK

Crossing the boundaries between 'continental' and 'analytic' philosophical approaches, this book proposes a naturalistic revision of the mathematical ontology of Alain Badiou, establishing links with structuralist projects in ...

GET BOOK

A layman's guide to the mechanics of Gödel's proof together with a lucid discussion of the issues which it raises. Includes an essay discussing the significance of Gödel's work in the light of Wittgenstein's criticisms. ...

GET BOOK

The Springer Handbook for Computational Intelligence is the first book covering the basics, the state-of-the-art and important applications of the dynamic and rapidly expanding discipline of computational intelligence. This c ...

GET BOOK

Information granules and their processing permeate a way in which we perceive the world, carryout processing at the conceptual (abstract) level, and communicate our findings to the surrounding environment. The importance of i ...

GET BOOK

Kurt Gödel (1906 - 1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice ...

GET BOOK

Kurt Godel, the greatest logician of our time, startled the world of mathematics in 1931 with his Theorem of Undecidability, which showed that some statements in mathematics are inherently "undecidable." His work on the compl ...

GET BOOK

Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Gödel's writings on the philosophy and foundations of mathematics and logic. Tieszen structures the argument around Gödel's ...

GET BOOK

The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developm ...

GET BOOK

Dirk van Dalen’s popular textbook Logic and Structure, now in its fifth edition, provides a comprehensive introduction to the basics of classical and intuitionistic logic, model theory and Gödel’s famous incompleteness t ...

GET BOOK