Introduction: Structures in Mathematics

Leo Corry
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Leo Corry: Tel Aviv University, The Cohn Institute for the History and Philosophy of Science and Ideas

Chapter Chapter 1 in Modern Algebra and the Rise of Mathematical Structures, 2004, pp 1-12 from Springer

Abstract: Abstract It is commonplace for mathematicians and non-mathematicians alike to refer to the structural character of twentieth century mathematics, or at least of considerable parts of it. Such references can be found in mathematical texts, 1 as well as in historical accounts2 and in philosophical or semi-philosophical debates3 concerning the discipline. However, when one attempts to discern the meaning attached to the term "mathematical structure" in the various places where it appears, one soon realizes that, while most writers using it take its meaning for granted and feel no need to add further clarifications, they often in fact ascribe diverging meanings to the term. In some cases, they ascribe to it no clear meaning at all.

Keywords: Algebraic Structure; Mathematical Knowledge; Mathematical Structure; Structural Approach; Structural Image (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7917-0_1

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DOI: 10.1007/978-3-0348-7917-0_1

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