Godel's Proof

ISBN-13: 9781138834651 / Angielski / Twarda / 2014 / 104 str.

Ernest Nagel; James R. Newman

Opis

'Nagel and Newman accomplish the wondrous task of clarifying the argumentative outline of Kurt Godel's celebrated logic bomb.' The Guardian

In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of physicist Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system. The importance of Godel's Proof rests upon its radical implications and has echoed throughout many fields, from maths to science to philosophy, computer design, artificial intelligence, even religion and psychology. While others such as Douglas Hofstadter and Roger Penrose have published bestsellers based on Godel s theorem, this is the first book to present a readable explanation to both scholars and non-specialists alike. A gripping combination of science and accessibility, Godel s Proof by Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity.

Kurt Godel (1906 1978) Born in Brunn, he was a colleague of physicist Albert Einstein and professor at the Institute for Advanced Study in Princeton, N.J."

Spis treści

Chapter 1 Introduction; Chapter 2 The Problem of Consistency; Chapter 3 Absolute Proofs of Consistency; Chapter 4 The Systematic Codification of Formal Logic; Chapter 5 An Example of a Successful Absolute Proof of Consistency; Chapter 6 The Idea of Mapping and Its Use in Mathematics; Chapter 7 Gödel's Proofs; Chapter 8 Concluding Reflections;

O autorze

James R. Newman