The first book to present a readable explanation of Godel's theorem to both scholars and non-specialists, this is a gripping combination of science and accessibility, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity.
In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of Albert Einstein, his theorem proved that mathematics...
A portrait of the eminent twentieth-century mathematician discusses his groundbreaking theorem of incompleteness, contributions within the famous Vienna circle, relationships with such contemporaries as Albert Einstein, and untimely death ...
Nicht der Gödel'sche Beweis interessiert mich , sondern die Möglichkeiten , auf die Gödel durch seine Diskussion uns aufmerksam macht . Der Gödel'sche Beweis entwickelt eine Schwierigkeit , die auch in viel elementarerer Weise ...
Peter Smith examines Gödel's Theorems, how they were established and why they matter.
First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. Introduction by R. B. Braithwaite.
In this introductory volume, Raymond Smullyan, himself a well-known logician, guides the reader through the fascinating world of Godel's incompleteness theorems.
"Among the many expositions of Gödel's incompleteness theorems written for non-specialists, this book stands apart.
A portrait of the eminent twentieth-century mathematician discusses his theorem of incompleteness, relationships with such contemporaries as Albert Einstein, and untimely death as a result of mental instability and self-starvation.
The inhabitants of the Platonic mathematical world are to be simply those mathematical entities or assertions whose meanings and validity are indeed objective and unambiguous. Moreover, as we shall see, the arguments that I give will, ...
It tells the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue from undeserved obscurity the brilliant work they did together.