Bulletin of the American Mathematical Society
Author : American Mathematical Society
Publisher :
Page : 678 pages
File Size : 13,35 MB
Release : 1909
Category : Mathematics
ISBN :
Author : American Mathematical Society
Publisher :
Page : 678 pages
File Size : 13,35 MB
Release : 1909
Category : Mathematics
ISBN :
Author : Jan von Plato
Publisher : Springer Nature
Page : 221 pages
File Size : 46,18 MB
Release : 2022-05-06
Category : Mathematics
ISBN : 3030971341
This volume contains English translations of Gödel's chapters on logicism and the antinomies and on the calculi of pure logic, as well as outlines for a chapter on metamathematics. It also comprises most of his reading notes. This book is a testimony to Gödel's understanding of the situation of foundational research in mathematics after his great discovery, the incompleteness theorem of 1931. It is also a source for his views on his logical predecessors, from Leibniz, Frege, and Russell to his own times. Gödel's "own book on foundations," as he called it, is essential reading for logicians and philosophers interested in foundations. Furthermore, it opens a new chapter to the life and achievement of one of the icons of 20th century science and philosophy.
Author :
Publisher :
Page : 348 pages
File Size : 24,62 MB
Release : 1907
Category : Science
ISBN :
Author :
Publisher :
Page : 436 pages
File Size : 42,6 MB
Release : 1897
Category : Mathematics
ISBN :
Author :
Publisher :
Page : 336 pages
File Size : 22,3 MB
Release : 1923
Category : Mathematics
ISBN :
Author : Ivor Grattan-Guiness
Publisher : Routledge
Page : 578 pages
File Size : 13,83 MB
Release : 2004-11-11
Category : History
ISBN : 1134887558
First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.
Author : Ivor Grattan-Guinness
Publisher : Routledge
Page : 1796 pages
File Size : 36,36 MB
Release : 2002-09-11
Category : Philosophy
ISBN : 1134957505
* Examines the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times up to the twentieth century * 176 articles contributed by authors of 18 nationalities * Chronological table of main events in the development of mathematics * Fully integrated index of people, events and topics * Annotated bibliographies of both classic and contemporary sources * Unique coverage of Ancient and non-Western traditions of mathematics
Author : Paul Benacerraf
Publisher : Cambridge University Press
Page : 604 pages
File Size : 10,28 MB
Release : 1984-01-27
Category : Science
ISBN : 1107268133
The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.
Author :
Publisher :
Page : 530 pages
File Size : 37,36 MB
Release : 1919
Category : Electronic journals
ISBN :
Includes section "Recent publications."
Author : Kamill Klem-Musatov
Publisher : SEG Books
Page : 341 pages
File Size : 11,63 MB
Release : 2016-06-30
Category : Science
ISBN : 1560803223
Providing geophysicists with an in-depth understanding of the theoretical and applied background for the seismic diffraction method, “Classical and Modern Diffraction Theory” covers the history and foundations of the classical theory and the key elements of the modern diffraction theory. Chapters include an overview and a historical review of classical theory, a summary of the experimental results illustrating this theory, and key principles of the modern theory of diffraction; the early cornerstones of classical diffraction theory, starting from its inception in the 17th century and an extensive introduction to reprinted works of Grimaldi, Huygens, and Young; details of the classical theory of diffractions as developed in the 19th century and reprinted works of Fresnel, Green, Helmholtz, Kirchhoff, and Rayleigh; and the cornerstones of the modern theory including Keller’s geometrical theory of diffraction, boundary-layer theory, and super-resolution. Appendices on the Cornu spiral and Babinet’s principle are also included.