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Aspectos da Lógica de Leonhard Euler/Aspects of Leonhard Euler´s Logic
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Investigamos a lógica de Leonhard Euler com ênfase no papel dos “diagramas de Euler”. Concluímos que os referidos diagramas constituem um instrumento intuitivo, embora não sistemático, para determinar validade na silogística tradicional, isto é, a silogística munida de implicações conversacionais (importância existencial). Nisto, contrastam-se com os diagramas de Venn que constituem um instrumento sistemático, porém menos intuitivo, para determinar validade numa silogística mais voltada para os fundamentos da matemática moderna.Abstract: We investigate the logic of Leonhard Euler, giving emphasis to the role of “Euler diagrams”. We conclude that these diagrams are an intuitive, non-systematic instrument for determining validity in the traditional syllogistic, that is, the syllogistic furnished with conversational implications (existential import). In this regard, they contrast with Venn diagrams which are a systematic, less intuitive instrument for determining validity in a syllogistic more appropriate for the foundation of modern mathematics. Keywords: History of Logic. Leonhard Euler. Euler Diagrams. Venn Diagrams.
Title: Aspectos da Lógica de Leonhard Euler/Aspects of Leonhard Euler´s Logic
Description:
Investigamos a lógica de Leonhard Euler com ênfase no papel dos “diagramas de Euler”.
Concluímos que os referidos diagramas constituem um instrumento intuitivo, embora não sistemático, para determinar validade na silogística tradicional, isto é, a silogística munida de implicações conversacionais (importância existencial).
Nisto, contrastam-se com os diagramas de Venn que constituem um instrumento sistemático, porém menos intuitivo, para determinar validade numa silogística mais voltada para os fundamentos da matemática moderna.
Abstract: We investigate the logic of Leonhard Euler, giving emphasis to the role of “Euler diagrams”.
We conclude that these diagrams are an intuitive, non-systematic instrument for determining validity in the traditional syllogistic, that is, the syllogistic furnished with conversational implications (existential import).
In this regard, they contrast with Venn diagrams which are a systematic, less intuitive instrument for determining validity in a syllogistic more appropriate for the foundation of modern mathematics.
Keywords: History of Logic.
Leonhard Euler.
Euler Diagrams.
Venn Diagrams.
.
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