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Philosophy of Mathematics

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De Gruyter (2018)

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  1. Phenomenological Ideas in the Philosophy of Mathematics. From Husserl to Gödel.Roman Murawski Thomas Bedürftig - 2018 - Studia Semiotyczne 32 (2):33-50.
    The paper is devoted to phenomenological ideas in conceptions of modern philosophy of mathematics. Views of Husserl, Weyl, Becker andGödel will be discussed and analysed. The aim of the paper is to show the influence of phenomenological ideas on the philosophical conceptions concerning mathematics. We shall start by indicating the attachment of Edmund Husserl to mathematics and by presenting the main points of his philosophy of mathematics. Next, works of two philosophers who attempted to apply Husserl’s phenomenological ideas to the (...)
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  • A Note on Intended and Standard Models.Jerzy Pogonowski - 2020 - Studia Humana 9 (3-4):131-139.
    This note discusses some problems concerning intended, standard, and nonstandard models of mathematical theories. We pay attention to the role of extremal axioms in attempts at a unique characterization of the intended models. We recall also Jan Woleński’s views on these issues.
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  • Equality and Near-Equality in a Nonstandard World.Bruno Dinis - forthcoming - Logic and Logical Philosophy:1-14.
    In the context of nonstandard analysis, the somewhat vague equality relation of near-equality allows us to relate objects that are indistinguishable but not necessarily equal. This relation appears to enable us to better understand certain paradoxes, such as the paradox of Theseus’s ship, by identifying identity at a time with identity over a short period of time. With this view in mind, I propose and discuss two mathematical models for this paradox.
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