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Abel Lassalle Casanave [8]Abel Casanave [6]
  1.  23
    De la Práctica Euclidiana a la Práctica Hilbertiana: las Teorías del Área Plana.Eduardo N. Giovannini, Abel Lassalle Casanave & Paulo A. S. Veloso - 2017 - Revista Portuguesa de Filosofia 73 (3-4):1263-1294.
    This paper analyzes the theory of area developed by Euclid in the Elements and its modern reinterpretation in Hilbert’s influential monograph Foundations of Geometry. Particular attention is bestowed upon the role that two specific principles play in these theories, namely the famous common notion 5 and the geometrical proposition known as De Zolt’s postulate. On the one hand, we argue that an adequate elucidation of how these two principles are conceptually related in the theories of Euclid and Hilbert is highly (...)
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  2. Acerca Del Concepto de Demostración En Platón y Aristóteles.Abel Lassalle Casanave - 2005 - Méthexis 18 (1):89-95.
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  3. A propósito del formalismo de Johann von Neumann.Abel Lassalle Casanave & Luiz Carlos Pereira - 2020 - Metatheoria – Revista de Filosofía E Historia de la Ciencia 10 (2):51--59.
    In 1930, Johann von Neumann, together with Rudolf Carnap and Arend Heyting, participated in a conference held in Königsberg, called “Second Seminar on the Epistemology of Exact Sciences”. The idea behind the reunion of these three researchers was to compose a fairly faithful picture of the three main foundational programs of mathematics at the time: formalism, logicism, and intuitionism. The main objective of this paper is to propose an analysis of the text “The Formalist Foundation of Mathematics” presented by von (...)
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  4.  24
    Chateaubriand's logicism.Abel Casanave - 2004 - Manuscrito 27 (1):13-20.
    In his doctoral dissertation, O. Chateaubriand favored Dedekind’s analysis of the notion of number; whereas in Logical Forms, he favors a fregean approach to the topic. My aim in this paper is to examine the kind of logicism he defends. Three aspects will be considered: the concept of analysis; the universality of arithmetical properties and their definability; the irreducibility of arithmetical objects.
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  5.  3
    Entre la retórica y la dialéctica.Abel Casanave - 2008 - Manuscrito 31 (1):11-18.
    En este artículo proponemos que el examen del concepto de demostración de Oswaldo Chateaubriand en los capítulos 19, 20 y 21 de la Parte II de Logical Forms incluye aspectos retóricos y dialécticos .In this paper we argue that Oswaldo Chateaubriand’s conception of proof, in chapters 19, 20, and 21 of Part II of Logical Forms, incorporates rhetorical aspects , and dialectical aspects.
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  6. Em torno da interpretacáo operacionausta do programa de Hilbert.Abel Lassalle Casanave - 1998 - Manuscrito 21:85.
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  7. La Concepcion de demostracion de Oswaldo Chateaubriand.Abel Lassalle Casanave - 1999 - Manuscrito 22 (2):95.
     
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  8. Nota: Abstração como operação lógica em Aristóteles.Abel Casanave, Frank Sautter & Gisele Secco - 2008 - O Que Nos Faz Pensar:205-210.
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