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Pluralism in Logic: The Square of Opposition, Leibniz'Principle of Sufficient Reason and Markov's Principle

In J.-Y. Beziau & Dale Jacquette (eds.), Around and Beyond the Square of Opposition. Birkhäuser. pp. 175--189 (2012)

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  1. The foundations of mathematics from a historical viewpoint.Antonino Drago - 2015 - Epistemologia 38 (1):133-151.
    A new hypothesis on the basic features characterising the Foundations of Mathematics is suggested. By means of them the entire historical development of Mathematics before the 20th Century is summarised through a table. Also the several programs, launched around the year 1900, on the Foundations of Mathematics are characterised by a corresponding table. The major difficulty that these programs met was to recognize an alternative to the basic feature of the deductive organization of a theory - more precisely, to Hilbert’s (...)
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  • Il ruolo del sistema periodico degli elementi nel caratterizzare la chimica classica come teoria scientifica.Antonio Drago - 2014 - Epistemologia 37 (1):37-57.
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  • Joule’s Experiment as an Event Triggering a Formalization of a Baconian Science Till Up to an Alternative Theory to Newton’s One.Antonino Drago - 2020 - Foundations of Science 26 (3):585-605.
    A re-visitation of Joule’s experiment motivates a critical analysis of thermodynamic notions: heat, total energy, first principle, organization of a scientific theory, its relationships with logic and mathematics. A rational re-construction of thermodynamics is suggested according to the model of a problem-based organization, that Sadi Carnot applied to his formulation. The new formulation accomplishes the long time theoretical process started by Joule’s experiment within physicists community's collective mind, i.e. the process of exiting out Baconian science for suggesting a first theory (...)
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  • A new definition of reduction between two scientific theories: no reduction of chemistry to quantum mechanics.Antonino Drago - 2020 - Foundations of Chemistry 22 (3):421-445.
    All suggested notions of reduction of two scientific theories are critically reviewed and analyzed. In particular those applied to the case of the alleged reduction of Chemistry to Quantum mechanics are examined. Since it is recognized that the weakness of this field of research is the lack of a definition of a scientific theory, it is suggested that a scientific theory is characterized by two choices regarding two dichotomies, that is, the kind of mathematics and the kind of logic. According (...)
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