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In 1931 Kurt Godel published his fundamental paper, "On Formally
Undecidable Propositions of "Principia Mathematica" and Related
Systems." This revolutionary paper challenged certain basic
assumptions underlying much research in mathematics and logic.
Godel received public recognition of his work in 1951 when he was
awarded the first Albert Einstein Award for achievement in the
natural sciences--perhaps the highest award of its kind in the
United States. The award committee described his work in
mathematical logic as "one of the greatest contributions to the
sciences in recent times."
However, few mathematicians of the time were equipped to
understand the young scholar's complex proof. Ernest Nagel and
James Newman provide a readable and accessible explanation to both
scholars and non-specialists of the main ideas and broad
implications of Godel's discovery. It offers every educated person
with a taste for logic and philosophy the chance to understand a
previously difficult and inaccessible subject.
Marking the 50th anniversary of the original publication of
Godel's Proof, New York University Press is proud to publish this
special anniversary edition of one of its bestselling and most
frequently translated books. With a new introduction by Douglas R.
Hofstadter, this book will appeal students, scholars, and
professionals in the fields of mathematics, computer science, logic
and philosophy, and science.
'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.
'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.
An accessible explanation of Kurt Goedel's groundbreaking work in
mathematical logic In 1931 Kurt Goedel published his fundamental
paper, "On Formally Undecidable Propositions of Principia
Mathematica and Related Systems." This revolutionary paper
challenged certain basic assumptions underlying much research in
mathematics and logic. Goedel received public recognition of his
work in 1951 when he was awarded the first Albert Einstein Award
for achievement in the natural sciences-perhaps the highest award
of its kind in the United States. The award committee described his
work in mathematical logic as "one of the greatest contributions to
the sciences in recent times." However, few mathematicians of the
time were equipped to understand the young scholar's complex proof.
Ernest Nagel and James Newman provide a readable and accessible
explanation to both scholars and non-specialists of the main ideas
and broad implications of Goedel's discovery. It offers every
educated person with a taste for logic and philosophy the chance to
understand a previously difficult and inaccessible subject. New
York University Press is proud to publish this special edition of
one of its bestselling books. With a new introduction by Douglas R.
Hofstadter, this book will appeal students, scholars, and
professionals in the fields of mathematics, computer science, logic
and philosophy, and science.
Written for independent study and suitable for an introductory
course in logic, this classic text combines a sound presentation of
logic with effective pedagogy and illustrates the role of logic in
many areas of humanistic and scientific thought. Cohen and Nagel's
elegant integration of the history of philosophy, natural science,
and mathematics helps earn this work its distinguished reputation.
"Ernest Nagel's work, The Structure of Science , has earned for
itself the status of an outstanding standard work in its field. It
offers an exceptionally thorough and comprehensive methodological
and philosophical exploration encountered in those diverse fields.
Nagel's discussion is distinguished by the lucidity of its style,
the incisiveness of its reasoning, and the solidity of its
grounding in all the major branches of scientific inquiry. The
Structure of Science has become a highly influential work that is
widely invoked in the methodological and philosophical literature.
Recent controversies between analytics and historic-sociological
approaches to the philosophy of science have not diminished its
significance; in fact, it seems to me that the pragmatist component
in Nagel's thinking may be helpful for efforts to develop a
rapprochement between the contending schools." --Carl G. Hempel
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.
Additional Authors Carl G. Hempel, N. L. Wilson, R. M. Martin,
Vincent A. Tomas, Douglas N. Morgan, A. I. Melden, W. K. Frankena.
Contributing Authors Include Hughes Leblanc, Richard Jeffrey,
Wesley Salmon And Many Others.
"Introduccion a la logica," de M.R. Cohen ofrece -mediante ensayos
en que aborda sus mas senalados problemas- un amplio panorama de la
situacion de esa ciencia. Lejos de concebirla como una meditacion
abstracta, se insiste en afirmar que la logica constituye el nucleo
mismo de la filosofia, porque su objeto es el aspecto formal "de
todo lo que existe." De esta manera, el autor se arriesga, con
inteligencia y firme conocimiento de las cuestiones tratadas, a
investigar su estricta relacion con los campos en que imperan las
ciencias naturales, la historia, la etica y la filosofia en
general. Es decir, establece sus vinculos con el resto del
universo, no sin antes aclarar cuales son los supuestos filosoficos
en que se sustenta, y las aplicaciones de donde deriva su
importancia, sirviendose de los trabajos de quienes han ido algo
mas alla de la logica aristotelica, a fin de comprobar que se trata
de un instrumento vivo que, a mas de fijar metodos, irrumpe en el
campo de las probabilidades y aun de las incertidumbres de que la
ciencia moderna ha hecho su objeto. De acuerdo con este enfoque, la
logica no pretende limitar los descubrimientos de la ciencia, sino
que es un instrumento necesario para llevar adelante las cada vez
mas dilatadas exploraciones en el mundo de la materia.
An Introduction to Logic and Scientific Method is a college level
primer on logic. This book was widely used by scholars especially
those studying economics as an introduction to logical thought in
preparation for intellectual discourse. Ludwig von Mises was known
to say that all students of economics should read this book as a
first step in their training as economists.
Heralded as "the crowning work of a great career," Logic: The
Theory of Inquiry was widely reviewed. To Evander Bradley
McGilvary, the work assured De wey "a place among the world's great
logicians." William Gruen thought "No treatise on logic ever
written has had as direct and vital an impact on social life as
Dewey's will have."
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