Titlebook: How We Understand Mathematics; Conceptual Integrati Jacek Woźny Book 2018 Springer International Publishing AG, part of Springer Nature 201

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Book 2018ill be of interest to mathematicians, teachers of mathematics, cognitive scientists, cognitive linguists, and anyone interested in the engaging question of how mathematics works and why it works so well. .

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2522-5405 algebra.Presents topics in the order usually taught to stud.This volume examines mathematics as a product of the human mind and analyzes the language of "pure mathematics" from various advanced-level sources. Through analysis of the foundational texts of mathematics, it is demonstrated that math is

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Introduction,n or Aristotelian variety. It is from this perspective that Quine-Putnam’s “indispensability argument,” Heller’s “hypothesis of the mathematical rationality of the world,” and Tegmark’s “mathematical universe hypothesis” have been discussed. Eugene Wigner, a physicist, often quoted in this context, finished his paper titled . in the following way:

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Summary and Conclusion,es always describe actors “moving and shaking” (changing location and manipulating objects). In the summary of each “research” chapter (Chaps. ., ., ., and .), we listed all the actors, objects, actions, and image schemas we managed to find, as well as “traces” of conceptual blending.

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Book 2018Through analysis of the foundational texts of mathematics, it is demonstrated that math is a complex literary creation, containing objects, actors, actions, projection, prediction, planning, explanation, evaluation, roles, image schemas, metonymy, conceptual blending, and, of course, (natural) langu

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The Theoretical Framework and the Subject of Study,The following sections will introduce the tools of study and the subject to be studied—mental operations of story and conceptual blending and modern algebra.

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https://doi.org/10.1007/978-3-319-77688-0linear transformations; fields; set theory; vector spaces; ring theory; blending theory; mappings; Abelian