Berto’s highly readable and lucid guide introduces students and the interested reader to Gödel’s celebrated Incompleteness Theorem, and discusses some of the most famous - and infamous - claims arising from Gödel's arguments. Offers a clear understanding of this difficult subject by presenting each of the key steps of the Theorem in separate chapters Discusses interpretations of the Theorem made by celebrated contemporary thinkers Sheds light on the wider extra-mathematical and philosophical implications of Gödel’s theories Written in an accessible, non-technical style
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.
“I suspect that such instances occur fairly frequently in the history of thought and art,” Smith concluded with artful blandness. In defending Kripke against Smith's “scandalous” and “grotesquely inaccurate” brief, Scott Soames began by ...
Now, in the first book for a general audience on this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life.
This is known as " Godel's incompleteness theorem " , or simply as " Godel's theorem " . At the same time , Godel proved that it is impossible to find a proof for the consistency of such systems , because a sentence asserting that ...
"Among the many expositions of Gödel's incompleteness theorems written for non-specialists, this book stands apart.
'What is a self and how can a self come out of inanimate matter?' This is the riddle that drove Douglas Hofstadter to write this extraordinary book.
—Palle Yourgrau, author of A World Without Time: The Forgotten Legacy of Gödel and Einstein and Harry A. Wolfson Professor of Philosophy at Brandeis University “Kurt Gödel, as a very young researcher in the 1930s, found three very major ...
Peter Smith examines Gödel's Theorems, how they were established and why they matter.
However, few scholars were unable to understand Gödel’s ideas. Ernest Nagel and James Newman provide a readable and accessible explanation of the main ideas and broad implications of Gödel's discovery.
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 ...