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Author: Ivor Grattan-Guinness
Publisher: Princeton University Press
ISBN: 1400824044
Category : Mathematics
Languages : en
Pages : 705
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Book Description
While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913). ? This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schröder, and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and the proof theory of Hilbert. The many-sided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel. A strong American theme runs though the story, beginning with the mathematician E. H. Moore and the philosopher Josiah Royce, and stretching through the emergence of Church and Quine, and the 1930s immigration of Carnap and GödeI. Grattan-Guinness draws on around fifty manuscript collections, including the Russell Archives, as well as many original reviews. The bibliography comprises around 1,900 items, bringing to light a wealth of primary materials. Written for mathematicians, logicians, historians, and philosophers--especially those interested in the historical interaction between these disciplines--this authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their logic; they failed in various ways, but no definitive alternative position emerged then or since.
Author: Ivor Grattan-Guinness
Publisher: Princeton University Press
ISBN: 1400824044
Category : Mathematics
Languages : en
Pages : 705
Get Book Here
Book Description
While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913). ? This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schröder, and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and the proof theory of Hilbert. The many-sided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel. A strong American theme runs though the story, beginning with the mathematician E. H. Moore and the philosopher Josiah Royce, and stretching through the emergence of Church and Quine, and the 1930s immigration of Carnap and GödeI. Grattan-Guinness draws on around fifty manuscript collections, including the Russell Archives, as well as many original reviews. The bibliography comprises around 1,900 items, bringing to light a wealth of primary materials. Written for mathematicians, logicians, historians, and philosophers--especially those interested in the historical interaction between these disciplines--this authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their logic; they failed in various ways, but no definitive alternative position emerged then or since.
Author: Simposio de Historia de la Lógica
Publisher:
ISBN: 9788431308087
Category : Logic
Languages : es
Pages : 606
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Book Description
Author: Randal S. Chase
Publisher: Plain & Precious Publishing
ISBN: 1937901645
Category : Religion
Languages : en
Pages : 369
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1164
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Book Description
Author: Emanuel del Mar
Publisher:
ISBN:
Category :
Languages : en
Pages : 152
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Book Description
Author: James Cook Bardin
Publisher:
ISBN:
Category : Latin America
Languages : en
Pages : 412
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Book Description
Consists of English translations of articles in the Spanish American press.
Author: César Andrés Núñez
Publisher: El Colegio de Mexico AC
ISBN: 6074626006
Category : Literary Collections
Languages : en
Pages : 474
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Book Description
Las historias e invenciones de Félix Muriel, de Rafael Dieste, se publicaron en Buenos Aires en 1943 y, ya entonces, pudo causar cierta sorpresa el hecho de que su autor, exiliado republicano, no se refiriera en ellas a la reciente guerra de España ni a sus consecuencias. Sin embargo, de modo subrepticio, la política estructura el texto y contribuye a construir la problemática unidad del libro -un libro que muchos llamaron "obra maestra" y que José Ramón Marra-López ha situado "al margen de toda posible clasificación". No para clasificarlo, sino para entender esa "marginalidad" y los motivos de su encanto está escrito este estudio, el primero dedicado en extenso específicamente al volumen y el primero que contempla con detenimiento el manuscrito autógrafo.
Author: Benson Latin American Collection
Publisher:
ISBN:
Category : Catalogs, Union
Languages : en
Pages : 866
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Author: Reynaldo Pareja
Publisher: Palibrio
ISBN: 1463343558
Category : Religion
Languages : en
Pages : 167
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Book Description
Una de las preguntas fundamentales que miles de millones de hombres se han hecho a lo largo de la historia de la Humanidad es: Si Dios existe, quien es El, como se le puede conocer, como se lo puede imaginar, como se le puede hablar? Es Dios una categoria mental mas de las tantas que creamos y por lo tanto es producto de nuestra imaginacion, o ese Dios existe realmente y se ha comunicado con nosotros de alguna manera verificable, objetiva y nos ha revelado algo de Quien es El? Y a estos interrogantes se le anade la inseparable duda de si lo que afirmarnos de Dios es realmente lo que El ES. Este interrogante ha sido motivo de innumerables confrontaciones entre los que afirman que si se ha dado dicha comunicacion y los que afirman que ese Dios no nos ha hablado nunca y que por lo tanto es producto de nuestra imaginacion, de nuestro deseo de sentirnos protegidos, de sentirnos cobijados, de sentirnos especiales cuando nos damos cuenta que somos varios billones de humanos viviendo en este punto azul, la Tierra, suspendida en el firmamento compartiendo el espacio con miles y miles de estrellas de nuestra galaxia y esta, a su vez, acompanada por miles de otras galaxias ejecutando el baile cosmico de nuestro universo. Es, pues, necesario hacer una revision historico-critica y de fondo para averiguar si existe o se ha dado la posibilidad de una comunicacion entre este Ser-Dios y nosotros, la Humanidad. Y si ha ocurrido, de que manera se ha hecho dicha comunicacion? Y si se ha dado, que nos ha dicho Dios de Si mismo que nos sirva para hacernos una imagen comprensible de Quien es El, de cual es su intima Esencia?
Author: Juan-Antonio Nicolás
Publisher: Georg Olms Verlag
ISBN: 348715238X
Category : Philosophy
Languages : en
Pages : 420
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Book Description
Die Suche nach historischen Quellen für die Leibniz’sche Philosophie scheint zunächst unerschöpflich. Durch alle in diesem Band versammelten Arbeiten wird der Einfluss der Philosophie des Aristoteles auf das Leibniz’sche Denken näher umrissen. Ein wesentliches Ziel ist es hierbei, einen Beitrag zur Analyse dieser philosophischen Beziehung zu leisten und zu zeigen, dass auch Aristoteles’ Philosophie nach Ansicht unserer Autoren entscheidend zum Verständnis des Leibniz’schen Denkens beiträgt. Die Texte befassen sich mit wesentlichen Themen der Leibniz’schen Logik und Metaphysik, z. B. mit den Grundbegriffen „Monade“ (und deren „Körperhaftigkeit“), „Entelechie“, „Nous“, mit dem Problem der Individuation (Individuum, Atomismus, Einheit), mit den substanziellen Formen, mit der Wissenschaft im Allgemeinen und der Technik, mit der Transformation der Logik, mit den Prinzipien (nämlich denjenigen des zureichenden Grundes, der Individuation und der Notwendigkeit), mit Zukunft und Kontingenz sowie Vergänglichkeit, mit der Theorie der syllogistischen Folgerung, usw. Diese Themen werden stets in der Gegenüberstellung von Leibniz und Aristoteles behandelt – sie zeigen daher, wie Leibniz aristotelische Thesen übernahm, veränderte oder kritisierte. The search for the historical sources of Leibniz’s philosphy initially seems to be unending. All the essays in this volume outline more clearly the influence of Aristotle’s philosophy on Leibniz’s thought. In this context a fundamental aim is to contribute to the analysis of this philosophical relationship and to demonstrate that Aristotle’s philosophy, in the opinion of our authors, plays a decisive role in the understanding of Leibniz’s thought. The texts address fundamental themes of Leibniz’s logic and metaphysics, e.g. the basic concepts of ‘monads’ (and their ‘corporality’), ‘entelechy’ and ‘nous; the problem of individuation (individual, atomism, unity); substantial forms; knowledge in general, and technology; the transformation of logic; principles (namely those of sufficient grounds, of individuation and of necesssity); future and contingency and transientness; the theory of syllogistic deduction, etc. These themes are regularly considered in the comparison between Leibniz and Aristotle – they demonstrate how Leibniz took over, treated or criticised Aristotelian theses.
