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  1. Dynamic Oppositional Symmetries for Color, Jungian and Kantian Categories.Julio Michael Stern - manuscript
    This paper investigates some classical oppositional categories, like synthetic vs. analytic, posterior vs. prior, imagination vs. grammar, metaphor vs. hermeneutics, metaphysics vs. observation, innovation vs. routine, and image vs. sound, and the role they play in epistemology and philosophy of science. The epistemological framework of objective cognitive constructivism is of special interest in these investigations. Oppositional relations are formally represented using algebraic lattice structures like the cube and the hexagon of opposition, with applications in the contexts of modern color theory, (...)
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  • Color-Coded Epistemic Modes in a Jungian Hexagon of Opposition.Julio Michael Stern - 2022 - In Jean-Yves Beziau & Ioannis Vandoulakis (eds.), The Exoteric Square of Opposition. Birkhauser. pp. 303-332.
    This article considers distinct ways of understanding the world, referred to in psychology as functions of consciousness or as cognitive modes, having as the scope of interest epistemology and natural sciences. Inspired by C.G. Jung’s simile of the spectrum, we consider three basic cognitive modes associated to: (R) embodied instinct, experience, and action; (G) reality perception and learning; and (B) concept abstraction, rational thinking, and language. RGB stand for the primary colors: red, green, and blue. Accordingly, a conceptual map between (...)
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  • 19th Brazilian Logic Conference: Book of Abstracts.Cezar A. Mortari & Ricardo Silvestre (eds.) - 2019 - João Pessoa, PB, Brasil: EDUFCG.
    This is the book of abstracts of the 19th Brazilian Logic Conferences. The Brazilian Logic Conferences (EBL) is one of the most traditional logic conferences in South America. Organized by the Brazilian Logic Society (SBL), its main goal is to promote the dissemination of research in logic in a broad sense. It has been occurring since 1979, congregating logicians of different fields — mostly philosophy, mathematics and computer science — and with different backgrounds — from undergraduate students to senior researchers. (...)
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  • Jacob’s Ladder: Logics of Magic, Metaphor and Metaphysics.Julio Michael Stern - 2020 - Sophia 59 (2):365-385.
    In this article, we discuss some issues concerning magical thinking—forms of thought and association mechanisms characteristic of early stages of mental development. We also examine good reasons for having an ambivalent attitude concerning the later permanence in life of these archaic forms of association, and the coexistence of such intuitive but informal thinking with logical and rigorous reasoning. At the one hand, magical thinking seems to serve the creative mind, working as a natural vehicle for new ideas and innovative insights, (...)
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  • Jacob’s Ladder: Logics of Magic, Metaphor and Metaphysics: Narratives of the Unconscious, the Self, and the Assembly.Julio Michael Stern - 2020 - Sophia 59 (2):365-385.
    In this article, we discuss some issues concerning magical thinking—forms of thought and association mechanisms characteristic of early stages of mental development. We also examine good reasons for having an ambivalent attitude concerning the later permanence in life of these archaic forms of association, and the coexistence of such intuitive but informal thinking with logical and rigorous reasoning. At the one hand, magical thinking seems to serve the creative mind, working as a natural vehicle for new ideas and innovative insights, (...)
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  • Continuous versions of Haack’s puzzles: equilibria, eigen-states and ontologies.Julio Michael Stern - 2017 - Logic Journal of the IGPL 25 (4):604-631.
    This article discusses some continuous limit cases of Susan Haack’s crossword puzzle metaphor for the coherent development and foundation of science. The main objective of this discussion is to build a bridge between Haack’s foundherentism and the epistemological framework of objective cognitive constructivism, including its key metaphor of objects as tokens for eigen-solutions. The historical development of chemical affinity tables is used to illustrate our arguments.
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  • A sharper image: the quest of science and recursive production of objective realities.Julio Michael Stern - 2020 - Principia: An International Journal of Epistemology 24 (2):255-297.
    This article explores the metaphor of Science as provider of sharp images of our environment, using the epistemological framework of Objective Cognitive Constructivism. These sharp images are conveyed by precise scientific hypotheses that, in turn, are encoded by mathematical equations. Furthermore, this article describes how such knowledge is pro-duced by a cyclic and recursive development, perfection and reinforcement process, leading to the emergence of eigen-solutions characterized by the four essential properties of precision, stability, separability and composability. Finally, this article discusses (...)
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  • Karl Pearson and the Logic of Science: Renouncing Causal Understanding (the Bride) and Inverted Spinozism.Julio Michael Stern - 2018 - South American Journal of Logic 4 (1):219-252.
    Karl Pearson is the leading figure of XX century statistics. He and his co-workers crafted the core of the theory, methods and language of frequentist or classical statistics – the prevalent inductive logic of contemporary science. However, before working in statistics, K. Pearson had other interests in life, namely, in this order, philosophy, physics, and biological heredity. Key concepts of his philosophical and epistemological system of anti-Spinozism (a form of transcendental idealism) are carried over to his subsequent works on the (...)
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  • Pragmatic Hypotheses in the Evolution of Science.Julio Michael Stern, Luis Gustavo Esteves, Rafael Izbicki & Rafael Stern - 2019 - Entropy 21 (9):1-17.
    This paper introduces pragmatic hypotheses and relates this concept to the spiral of scientific evolution. Previous works determined a characterization of logically consistent statistical hypothesis tests and showed that the modal operators obtained from this test can be represented in the hexagon of oppositions. However, despite the importance of precise hypothesis in science, they cannot be accepted by logically consistent tests. Here, we show that this dilemma can be overcome by the use of pragmatic versions of precise hypotheses. These pragmatic (...)
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  • Optimization Models for Reaction Networks: Information Divergence, Quadratic Programming and Kirchhoff’s Laws.Julio Michael Stern - 2014 - Axioms 109:109-118.
    This article presents a simple derivation of optimization models for reaction networks leading to a generalized form of the mass-action law, and compares the formal structure of Minimum Information Divergence, Quadratic Programming and Kirchhoff type network models. These optimization models are used in related articles to develop and illustrate the operation of ontology alignment algorithms and to discuss closely connected issues concerning the epistemological and statistical significance of sharp or precise hypotheses in empirical science.
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