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  1. Logic and Axiomatics in the Making of Latino sine Flexione.Başak Aray - 2021 - Philosophia Scientiae 25:127-143.
    This contribution examines the scientific background of Latino sine Flexione (LSF), an international auxiliary language constructed by Peano. LSF is part of a larger linguistic movement resulting from new technologies that accelerated globalisation. Science is a major driving force behind the international auxiliary language movement, both for creating an increased need for international contacts and for lending its data and methods to language construction. With LSF, Peano attempted to realize part of Leibniz’s dream of a universal language, of which a (...)
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  • Frege, Peano and the Interplay between Logic and Mathematics.Joan Bertran-San Millán - 2021 - Philosophia Scientiae 25 (1):15-34.
    In contemporary historical studies, Peano is usually included in the logical tradition pioneered by Frege. In this paper, I shall first demonstrate that Frege and Peano independently developed a similar way of using logic for the rigorous expression and proof of mathematical laws. However, I shall then suggest that Peano also used his mathematical logic in such a way that anticipated a formalisation of mathematical theories which was incompatible with Frege’s conception of logic.
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  • Giuseppe Peano and his School: Axiomatics, Symbolism and Rigor.Paola Cantù & Erika Luciano - 2021 - Philosophia Scientiae 25:3-14.
    Peano’s axioms for arithmetic, published in 1889, are ubiquitously cited in writings on modern axiomatics, and his Formulario is often quoted as the precursor of Russell’s Principia Mathematica. Yet, a comprehensive historical and philosophical evaluation of the contributions of the Peano School to mathematics, logic, and the foundation of mathematics remains to be made. In line with increased interest in the philosophy of mathematics for the investigation of mathematical practices, this them...
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  • Peano on Symbolization, Design Principles for Notations, and the Dot Notation.Dirk Schlimm - 2021 - Philosophia Scientiae 25:95-126.
    Peano was one of the driving forces behind the development of the current mathematical formalism. In this paper, we study his particular approach to notational design and present some original features of his notations. To explain the motivations underlying Peano's approach, we first present his view of logic as a method of analysis and his desire for a rigorous and concise symbolism to represent mathematical ideas. On the basis of both his practice and his explicit reflections on notations, we discuss (...)
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