From the Introduction. In 1931 there appeared in a German
scientific periodical a relatively short paper with the forbidding
title ""Uber formal unentscheidbare Satze der Principia Mathematica
und verwandter Systeme"" (""On Formally Undecidable propositions of
Principia Mathematica and Related Systems""). Its author was Kurt
Godel, then a young mathematician of 25 at the University of Vienna
and since 1938 a permanent member of the Institute for Advanced
Study at Princeton. The paper is a milestone in the history of
logic and mathematics. When Harvard University awarded Godel an
honorary degree in 1952, the citation described the work as one of
the most important advances in logic in modern times. At the time
of its appearance, however, neither the title of Godel's paper nor
its content was intelligible to most mathematicians.
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