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  1. Logically-Consistent Hypothesis Testing and the Hexagon of Oppositions.Julio Michael Stern, Rafael Izbicki, Luis Gustavo Esteves & Rafael Bassi Stern - 2017 - Logic Journal of the IGPL 25 (5):741-757.
    Although logical consistency is desirable in scientific research, standard statistical hypothesis tests are typically logically inconsistent. To address this issue, previous work introduced agnostic hypothesis tests and proved that they can be logically consistent while retaining statistical optimality properties. This article characterizes the credal modalities in agnostic hypothesis tests and uses the hexagon of oppositions to explain the logical relations between these modalities. Geometric solids that are composed of hexagons of oppositions illustrate the conditions for these modalities to be logically (...)
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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.
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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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  • No Evidence Amalgamation Without Evidence Measurement.Veronica J. Vieland & Hasok Chang - 2019 - Synthese 196 (8):3139-3161.
    In this paper we consider the problem of how to measure the strength of statistical evidence from the perspective of evidence amalgamation operations. We begin with a fundamental measurement amalgamation principle : for any measurement, the inputs and outputs of an amalgamation procedure must be on the same scale, and this scale must have a meaningful interpretation vis a vis the object of measurement. Using the p value as a candidate evidence measure, we examine various commonly used approaches to amalgamation (...)
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  • Jacob’s Ladder: Logics of Magic, Metaphor and Metaphysics.Julio Michael Stern - 2020 - Sophia 59:365-385.
    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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  • A Fuzzy Take on the Logical Issues of Statistical Hypothesis Testing.Matthew Booth & Fabien Paillusson - 2021 - Philosophies 6 (21):21.
    Statistical Hypothesis Testing is a class of inference methods whereby one makes use of empirical data to test a hypothesis and often emit a judgment about whether to reject it or not. In this paper, we focus on the logical aspect of this strategy, which is largely independent of the adopted school of thought, at least within the various frequentist approaches. We identify SHT as taking the form of an unsound argument from Modus Tollens in classical logic, and, in order (...)
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