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Article . 2009 . Peer-reviewed
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De la logique combinatoire des 'Generales Inquisitiones' aux calculs combinmatoires contemporains

Authors: Peña, Lorenzo;

De la logique combinatoire des 'Generales Inquisitiones' aux calculs combinmatoires contemporains

Abstract

[ES] En su ensayo de 1686 GI Leibniz trató de reducir las oraciones a locuciones nominales, la verdad al ser. Tal reducción surgió de su ecuación entre prueba y análisis conceptual. Hasta cierto punto el cálculus lógico de Leibniz suministra un modo razonable de superar la dicotomía, permitiendo una reducción de los enunciados hipotéticos a enunciados categóricos. Sin embargo, produce un resultado desastroso, a saber: cuando A es posible y también lo es B, puede haber una entidad que sea a la vez A y B. A pesar de eso, Leibniz fue con las GI el precursor de la lógica combinatoria del siglo XX, la cual practica (¡con éxito!) -y q veces por razones no tan alejadas de los motivos de Leibniz- reducciones como las que él trató de llevar a cabo.

[EN] In his 1686 essay GI Leibniz undertook to reduce sentences to noun-phrases, truth to being. Such a reduction arose from his equating proof with conceptual analysis. Within limits Leibniz's logical calculus provides a reasonable way of surmounting the dichotomy, thus allowing a reduction of hypothetical to categorical statements. However it yields the disastrous result that, whenever A is possible and so is B, there can be an entity being both A and B. Yet, Leibniz was in the GI the forerunner of 20th century combinatory logic, which (successfully!) practices -sometimes for reasons not entirely unlike Leibniz's own grounds- reductions of the same kinds he tried to carry out.

31 págs.-- Une partie des idées contenues dans cet article furent exposées —sous une forme très différente cependant— dans une communication de l’auteur présentée au Colloque International sur Leibniz, à Madrid, le 22-09-1989.

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Spain
Keywords

Truth, Logical calculus, Prueba, Análisis conceptual, Cálculo lógico, Categorical statements, Being, Leibniz, Gottfried Wilhelm, Proof, Verdad, Ser, Conceptual analysis, Locuciones nominales, Oraciones, Enunciados categóricos, Reducción, Hypothetical statements, Enunciados hipotéticos, Sentences, Lógica combinatoria, Reduction, Noun-phrases, Combinatory logics

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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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