Kurt Godel, together with Bertrand Russell, is the most
important name in logic, and in the foundations and philosophy of
mathematics of this century. However, unlike Russel, Godel the
mathematician published very little apart from his well-known
writings in logic, metamathematics and set theory. Fortunately,
Godel the philosopher, who devoted more years of his life to
philosophy than to technical investigation, wrote hundreds of pages
on the philosophy of mathematics, as well as on other fields of
philosophy. It was only possible to learn more about his
philosophical works after the opening of his literary estate at
Princeton a decade ago. The goal of this book is to make available
to the scholarly public solid reconstructions and editions of two
of the most important essays which Godel wrote on the philosophy of
mathematics. The book is divided into two parts. The first provides
the reader with an incisive historico-philosophical introduction to
Godel's technical results and philosophical ideas. Written by the
Editor, this introductory apparatus is not only devoted to the
manuscripts themselves but also to the philosophical context in
which they were written. The second contains two of Godel's most
important and fascinating unpublished essays: 1) the Gibbs Lecture
("Some basic theorems on the foundations of mathematics and their
philosophical implications," 1951); and 2) two of the six versions
of the essay which Godel wrote for the Carnap volume of the Schilpp
series The Library of Living Philosophers ("Is mathematics syntax
of language?," 1953-1959)."
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