Results 21 to 30 of about 21,604 (312)
Ongoing advancements in philosophy of mathematics education [PDF]
, 2023 Ongoing Advancements in Philosophy of Mathematics Education approaches the philosophy of mathematics education in a forward movement, analyzing, reflecting, and proposing significant contemporary themes in the field of mathematics education.
Rosa, Maurício +3 more
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Wronski's Foundations of Mathematics [PDF]
Science in Context, 2016 ArgumentThis paper reconstructs Wronski's philosophical foundations of mathematics. It uses his critique of Lagrange's algebraic analysis as a vignette to introduce the problems that he raised, and argues that these problems have not been properly appreciated by his contemporaries and subsequent commentators.
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Mathematics as Information Compression via the Matching and Unification of Patterns
Complexity, 2019 This paper describes a novel perspective on the foundations of mathematics: how mathematics may be seen to be largely about “information compression (IC) via the matching and unification of patterns” (ICMUP).
J. Gerard Wolff
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La lógica matemática: una disciplina en busca de encuadre
Theoria, 2010 We offer an analysis of the disciplinary transformations underwent by mathematical or symbolic logic since its emergence in the late 19th century.
José Ferreirós
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Foundations of Engineering Mathematics Applied for Fluid Flows
Axioms, 2021 Based on a brief historical excursion, a list of principles is formulated which substantiates the choice of axioms and methods for studying nature. The axiomatics of fluid flows are based on conservation laws in the frames of engineering mathematics and ...
Yuli D. Chashechkin
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Representations and the Foundations of Mathematics
Notre Dame Journal of Formal Logic, 2022 The representation of mathematical objects in terms of (more) basic ones is part and parcel of (the foundations of) mathematics. In the usual foundations of mathematics, i.e. $\textsf{ZFC}$ set theory, all mathematical objects are represented by sets, while ordinary, i.e.
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Des fondements vers l’avant. Sur la rationalité des mathématiques et des sciences formalisées
Philosophia Scientiæ, 2005 Forward foundations. On the rationality of mathematics and of formalized sciences. — The failure of logicism for the question of foundations of mathematics invites us to consider this question under an epistemological point of view, in terms of ...
Michel Paty
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BETWEEN PATHOLOGY AND WELL-BEHAVIOUR – A POSSIBLE FOUNDATION FOR TAME MATHEMATICS
Studia Universitatis Babeș-Bolyai. Philosophia, 2022 An in-depth examination of the foundations of mathematics reveals how its treatment is centered around the topic of unique foundation vs. no need for a foundation in a traditional setting.
Angelo-Vlad MOLDOVAN
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Interdisciplinary scientific communication in the content of teaching applied mathematics
RUDN Journal of Informatization in Education, 2019 Problem and goal. Today, graduates studying in the physical and mathematical areas of training in the profile of applied mathematics have high requirements [23; 24].
Viktor S. Kornilov
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Mathematical foundations of complex tonality
Journal of Mathematics and Music, 2023 35 pages, to appear in Journal of Mathematics and ...
Jeffrey R. Boland, Lane P. Hughston
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