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  1.  19
    A Constructivist View of Newton’s Mechanics.H. G. Solari & M. A. Natiello - 2018 - Foundations of Science 24 (2):1-35.
    In the present essay we attempt to reconstruct Newtonian mechanics under the guidance of logical principles and of a constructive approach related to the genetic epistemology of Piaget and García. Instead of addressing Newton’s equations as a set of axioms, ultimately given by the revelation of a prodigious mind, we search for the fundamental knowledge, beliefs and provisional assumptions that can produce classical mechanics. We start by developing our main tool: the no arbitrariness principle, that we present in a form (...)
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  2.  7
    Algebraic Description of the Quantum Defect.R. Gilmore, H. G. Solari & S. K. Kim - 1993 - Foundations of Physics 23 (6):873-879.
    A simple model for the description of atomic and ionic species with spectra exhibiting a quantum defect is solved using the Lie algebra su(1, 1). The quantum defect of bound states is related to the phase shift of scattering states. The resonances are discussed in terms of the nonunitary representations of this algebra.
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  3. The Construction of Electromagnetism.Mario Natiello & H. G. Solari - manuscript
    Abstract We examine the construction of electromagnetism in its current form, and in an alternative form, from a point of view that combines a minimal realism with strict rational demands. We begin by discussing the requests of reason when constructing a theory and next, we follow the historical development as presented in the record of original publications, the underlying epistemology (often explained by the authors) and the mathematical constructions. The historical construction develops along socio-political disputes (mainly, the reunification of Germany (...)
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  4.  27
    Science, Dualities and the Phenomenological Map.H. G. Solari & M. A. Natiello - manuscript
    We present an epistemological scheme of natural sciences inspired in Peirce's pragmaticist view, stressing the role of the phenomenological map, that connects reality and our ideas about it. The scheme has a recognisable mathematical/logical structure which allows to explore some of its consequences. We show that seemingly independent principles as the requirement of reproducibility of experiments and the Principle of sufficient reason are both implied by the scheme as well as Popper's concept of falsifiability. We show that the scheme has (...)
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  5.  32
    Science, Dualities and the Fenomenological Map.H. G. Solari & Mario Natiello - manuscript
    We present an epistemological scheme of natural sciences inspired in Peirce's pragmaticist view, stressing the role of the \emph{phenomenological map}, that connects reality and our ideas about it. The scheme has a recognisable mathematical/logical structure which allows to explore some of its consequences. We show that seemingly independent principles as the requirement of reproducibility of experiments and the Principle of sufficient reason are both implied by the scheme, as well as Popper's concept of falsifiability. We show that the scheme has (...)
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