Download or read book Les fondements des math matiques written by Ferdinand Gonseth and published by . This book was released on 1926 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Les fondements logiques des math matiques written by Evert Willem Beth and published by . This book was released on 1955 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Logique math matique et fondements des math matiques written by International Congress of Mathematicians and published by . This book was released on 1966 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Logique et fondements des math matiques written by Yvon Gauthier and published by . This book was released on 1999 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fondements des math matiques written by David Hilbert and published by Editions L'Harmattan. This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Les Fondements des mathématiques ont été rédigés par Bernays en suivant fidèlement les vues de Hilbert. Publiés par Springer en 1934 et 1939, ils retracent les conceptions visionnaires de Hilbert sur la mathématisation de la logique et le développement technique de celle-ci, tel qu'il se présentait à l'époque, à partir des cours professés par Hilbert quelques années avant 1920 et à partir des contributions ultérieures de ses collaborateurs à Göttingen ou de correspondants extérieurs. Ce monument de la pensée mathématique a connu une seconde édition, revue sur divers points, en 1968 et 1970. La seule traduction qui en soit parue jusqu'ici est russe. Voici cet ouvrage mis à la disposition des lecteurs francophones, philosophes et historiens des mathématiques, mathématiciens, logiciens et informaticiens utilisateurs des outils de la logique, dans une traduction qui, basée sur la seconde édition, incorpore les variantes de la première. Ce second tome présente les résultats les plus pointus de son temps dans la recherche en théorie de la preuve. Il contient une explication complète du programme technique, élaboré par Hilbert en vue de prouver la non-contradiction de l'arithmétique de Peano du premier ordre. La métamathématique de l'arithmétique y est arithmétisée complètement, et des preuves détaillées des deux théorèmes de Gödel y sont déployées, ce que font fort peu de manuels et de traités pour ce qui est du second de ces théorèmes. Le théorème d'Herbrand sert, dans l'ouvrage, de pivot au traitement finitiste de l'arithmétique formalisée. Le lecteur y trouvera également le théorème de non-contradiction des théories formalisées à l'aide d'axiomes " vérifiables " dénués de variables liées, et son corollaire bien connu sur les théorèmes formels Pi-2.
Download or read book Fondements des math matiques written by Michel Combès and published by . This book was released on 1971 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Les Fondements Des Math matiques written by Arend Heyting and published by . This book was released on 1955 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fondements math matiques douze written by Jacqueline Coulas and published by . This book was released on 2011 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fondements Mathematiques written by Jean-Francois Caulier and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fondements Math matiques written by Annie Gauthier and published by . This book was released on 2011 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Math matiques Philosophie Histoire written by A. Maroger and published by . This book was released on 1908 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Les principes des math matiques written by Louis Couturat and published by . This book was released on 1905 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fondements des Math matiques written by Ali Hamour and published by . This book was released on 2008 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Les Principes des Math matiques written by Louis Couturat and published by Forgotten Books. This book was released on 2018-01-03 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Les Principes des Mathematiques: Avec un Appendice sur la Philosophie des Mathematiques de Kant Cet etat de choses a completement change pendant la seconde moitie du XIX siecle. D'une part, les mathematiciens furent pris de scrupules logiques inconnus de leurs predecesseurs; ils se mirent a analyser leurs methodes de demonstration, a verifier l'enchainement de leurs theoremes, a rechercher les hypotheses ou postulats qui se glissaient subrepticement dans leurs raison nements, enfin a degager les principes en axiomes d'ou partaient leurs deductions et d'ou dependaient toutes leurs theories. Le Calcul infinitesimal, dont les principes avaient garde quelque chose de paradoxal et de mysterieux, fut enfin fonde sur la theorie rigoureuse des limites; la theorie des fonctions, ou avaient longtemps regne des prejuges d'origine intuitive, fut epuree et approfondie. La Geometrie et la Mecanique, degagees autant que possible de l'intuition, devinrent des systemes hypothetico - deductifs fondes sur un certain nombre d'axiomes ou de postulats d'ou tout le reste se deduit logiquement. Enfin, en creusant pour ainsi dire les fondations de leur science, et en reprenant tout l'edifice en sous - oeuvre, les mathemati ciens furent amenes a constituer deux theories nouvelles qui devaient desormais servir de base a toutes les autres la theorie des ensembles et la theorie des groupes; autrement dit, la science des multiplicites et la science de l'ordre. Ainsi il appa raissait que les sciences du nombre et de la grandeur n'etaient pas primordiales, mais reposaient sur des doctrines d'un carac tere plutot logique que mathematique, et sur des notions qui n'avaient plus rien de quantitatif. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Classics in the History of Greek Mathematics written by Jean Christianidis and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century is the period during which the history of Greek mathematics reached its greatest acme. Indeed, it is by no means exaggerated to say that Greek mathematics represents the unique field from the wider domain of the general history of science which was included in the research agenda of so many and so distinguished scholars, from so varied scientific communities (historians of science, historians of philosophy, mathematicians, philologists, philosophers of science, archeologists etc. ), while new scholarship of the highest quality continues to be produced. This volume includes 19 classic papers on the history of Greek mathematics that were published during the entire 20th century and affected significantly the state of the art of this field. It is divided into six self-contained sections, each one with its own editor, who had the responsibility for the selection of the papers that are republished in the section, and who wrote the introduction of the section. It constitutes a kind of a Reader book which is today, one century after the first publications of Tannery, Zeuthen, Heath and the other outstanding figures of the end of the 19th and the beg- ning of 20th century, rather timely in many respects.
Download or read book Remarques sur les fondements des math matiques written by Ludwig Wittgenstein and published by . This book was released on 1983 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Les principes des mathematiques avec un appendice sur la philosophie written by Louis Couturat and published by . This book was released on 1905 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:
