Download or read book Consistency of the Continuum Hypothesis AM 3 Volume 3 written by Kurt Gödel and published by Princeton University Press. This book was released on 2016-03-02 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kurt Gödel, mathematician and logician, was one of the most influential thinkers of the twentieth century. Gödel fled Nazi Germany, fearing for his Jewish wife and fed up with Nazi interference in the affairs of the mathematics institute at the University of Göttingen. In 1933 he settled at the Institute for Advanced Study in Princeton, where he joined the group of world-famous mathematicians who made up its original faculty. His 1940 book, better known by its short title, The Consistency of the Continuum Hypothesis, is a classic of modern mathematics. The continuum hypothesis, introduced by mathematician George Cantor in 1877, states that there is no set of numbers between the integers and real numbers. It was later included as the first of mathematician David Hilbert's twenty-three unsolved math problems, famously delivered as a manifesto to the field of mathematics at the International Congress of Mathematicians in Paris in 1900. In The Consistency of the Continuum Hypothesis Gödel set forth his proof for this problem. In 1999, Time magazine ranked him higher than fellow scientists Edwin Hubble, Enrico Fermi, John Maynard Keynes, James Watson, Francis Crick, and Jonas Salk. He is most renowned for his proof in 1931 of the 'incompleteness theorem,' in which he demonstrated that there are problems that cannot be solved by any set of rules or procedures. His proof wrought fruitful havoc in mathematics, logic, and beyond.
Download or read book The Consistency of the Axiom of Choice and of the Generalized Continuum hypothesis with the Axioms of Set Theory written by Kurt Gödel and published by Princeton University Press. This book was released on 1940 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Consistency of the Continuum Hypothesis written by Kurt Gödel and published by . This book was released on 1940 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Consistency of the Continuum Hypothesis written by Kurt Gödel and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Consistency of the Axiom of Choice and of the Generalized Continuum hypothesis with the Axioms of Set Theory written by Kurt Gödel and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Set Theory and the Continuum Hypothesis written by Paul J. Cohen and published by Courier Corporation. This book was released on 2008-12-09 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exploration of a notorious mathematical problem is the work of the man who discovered the solution. Written by an award-winning professor at Stanford University, it employs intuitive explanations as well as detailed mathematical proofs in a self-contained treatment. This unique text and reference is suitable for students and professionals. 1966 edition. Copyright renewed 1994.
Download or read book The Consistency of the Axiom of Choice and of the Generalized Continuum hypothesis with the Axioms of Set Theory written by and published by . This book was released on 1940 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Contributions to the Theory of Games AM 39 Volume III written by Melvin Dresher and published by Princeton University Press. This book was released on 2016-03-02 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new group of contributions to the development of this theory by leading experts in the field. The contributors include L. D. Berkovitz, L. E. Dubins, H. Everett, W. H. Fleming, D. Gale, D. Gillette, S. Karlin, J. G. Kemeny, R. Restrepo, H. E. Scarf, M. Sion, G. L. Thompson, P. Wolfe, and others.
Download or read book Contributions to the Theory of Nonlinear Oscillations AM 36 Volume III written by Solomon Lefschetz and published by Princeton University Press. This book was released on 2016-03-02 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III, will be forthcoming.
Download or read book Combinatorial Set Theory written by Lorenz J. Halbeisen and published by Springer Science & Business Media. This book was released on 2011-11-24 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed by Paul Cohen, is explained in great detail. With this technique, one can show that certain statements, like the continuum hypothesis, are neither provable nor disprovable from the axioms of set theory. In the last part, some topics of classical set theory are revisited and further developed in the light of forcing. The notes at the end of each chapter put the results in a historical context, and the numerous related results and the extensive list of references lead the reader to the frontier of research. This book will appeal to all mathematicians interested in the foundations of mathematics, but will be of particular use to graduates in this field.
Download or read book Stationary Processes and Prediction Theory AM 44 Volume 44 written by Harry Furstenberg and published by Princeton University Press. This book was released on 2016-03-02 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic treatment of stationary processes and prediction theory from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Download or read book Lectures on Fourier Integrals AM 42 Volume 42 written by Salomon Bochner Trust and published by Princeton University Press. This book was released on 2016-03-02 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Lectures on Fourier Integrals. (AM-42), Volume 42, will be forthcoming.
Download or read book Continuous Model Theory AM 58 Volume 58 written by Chen Chung Chang and published by Princeton University Press. This book was released on 2016-03-02 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a study of the theory of models with truth values in a compact Hausdorff topological space.
Download or read book Surface Area AM 35 Volume 35 written by Lamberto Cesari and published by Princeton University Press. This book was released on 2016-03-02 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Surface Area. (AM-35), Volume 35, will be forthcoming.
Download or read book Contributions to the Theory of Games AM 40 Volume IV written by Albert William Tucker and published by Princeton University Press. This book was released on 2016-03-02 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Contributions to the Theory of Games (AM-40), Volume IV, will be forthcoming.
Download or read book Seminar on Transformation Groups AM 46 Volume 46 written by Armand Borel and published by Princeton University Press. This book was released on 2016-03-02 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Seminar on Transformation Groups. (AM-46), Volume 46, will be forthcoming.
Download or read book Contributions to the Theory of Nonlinear Oscillations AM 45 Volume V written by Lamberto Cesari and published by Princeton University Press. This book was released on 2016-03-02 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V, will be forthcoming.
