Historia de la lógica

Historia de la lógica PDF

Author: Julián Velarde Lombraña

Publisher: Universidad de Oviedo

Published: 1989

Total Pages: 440

ISBN-13: 9788474681864

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Consideramos de utilidad el análisis de la expresión "Historia de la Lógica" apelando a la teoría semántica de Frege, según la cual toda expresión lingüística dotada de sentido puede ser concebida como descompuesta en dos partes, una de las cuales está completa en sí misma (el argumento), mientras que la otra precisa de complemento; es no saturada (la función). A la Historia de la Lógica compete determinar la constitución-desaparación de categorías e ideas que en un proceso de desarrollo e influencia mutua han configurado la lógica y la symploké entre esas categorías e ideas constituyen su cuerpo. Para recomponerlo, hemos procurado actuar, según aconseja Platón, como un dialéctico: cortar por las juntas naturales. El resultado ahí está.

The Search for Mathematical Roots, 1870-1940

The Search for Mathematical Roots, 1870-1940 PDF

Author: I. Grattan-Guinness

Publisher: Princeton University Press

Published: 2000-11-26

Total Pages: 716

ISBN-13: 9780691058580

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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.

Historia De La Lógica

Historia De La Lógica PDF

Author: Adalberto García de Mendoza

Publisher:

Published: 2018-12-28

Total Pages: 272

ISBN-13: 9781506525662

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En este libro se estudia la disciplina filosófica que trata de los pensamientos. Se divide en diferentes etapas empezando con la Lógica de la Edad Antigua con Aristóteles, el fundador de la Lógica, Platón, Euclides y otros mas. La Edad Media con Porfirio y Santo Thomas de Aquino, La Edad Moderna con René Descartes y su nueva ciencia de la Geometria Analítica y la Edad Contemporanea con Auguste Comte, fundador de la doctrina del positivismo.

Beiträge zu Leibniz' Rezeption der Aristotelischen Logik und Metaphysik

Beiträge zu Leibniz' Rezeption der Aristotelischen Logik und Metaphysik PDF

Author: Juan-Antonio Nicolás

Publisher: Georg Olms Verlag

Published: 2016-04-01

Total Pages: 420

ISBN-13: 348715238X

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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.