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How do social network models compare to all-to-all models for forecasting tuberculosis epidemics? A mathematical modeling study. [PDF]
Milali MP +3 more
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A Mathematical Model of Cysteine-Driven Metabolic Adaptation to Hypoxia in Ovarian Cancer. [PDF]
Rodrigues JA +4 more
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Fractional-order modeling of vaccination strategies for measles transmission incorporating immune memory. [PDF]
Yunus AO, Olanrewaju OA.
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Frame-based mathematical models - a tool for the study of molecular genetic systems. [PDF]
Kazantsev FV, Lashin SA, Matushkin YG.
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Structures And Structuralism In Contemporary Philosophy Of Mathematics
Synthese, 2000The authors study various forms of mathematical structuralism and mention a few of the problems associated with them, without taking a critical stance on them. The paper refers to the undisputed importance of what the authors call a structuralist methodology, exemplified by the emphasis on classes of structures like groups, rings, topological spaces ...
Erich H. Reck, Michael P. Price
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Philosophia Mathematica, 1996
Abstract The article considers structuralism as a philosophy of mathematics, as based on the commonly accepted explicit mathematical concept of a structure. Such a structure consists of a set with specified functions and relations satisfying specified axioms, which describe the type of the structure.
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Abstract The article considers structuralism as a philosophy of mathematics, as based on the commonly accepted explicit mathematical concept of a structure. Such a structure consists of a set with specified functions and relations satisfying specified axioms, which describe the type of the structure.
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Structuralism and the Applicability of Mathematics
Axiomathes, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Invariants and Mathematical Structuralism
Philosophia Mathematica, 2013The paper outlines a novel version of mathematical structuralism related to invariants. The main objective here is twofold: first, to present a formal theory of structures based on the structuralist methodology underlying work with invariants. Second, to show that the resulting framework allows one to model several typical operations in modern ...
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Structuralism and the conformity of mathematics and nature
Studies in History and Philosophy of Science Part A, 2021Structuralists typically appeal to some variant of the widely popular 'mapping' account of mathematical representation to suggest that mathematics is applied in modern science to represent the world's physical structure. However, in this paper, I argue that this realist interpretation of the 'mapping' account presupposes that physical systems possess ...
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