Tension between Intuitive Infinitesimals and Formal Mathematical Analysis

Mathematics – History and Overview

Scientific paper

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19 pages, 5 figures, Chapter in: Bharath Sriraman, Editor. Crossroads in the History of Mathematics and Mathematics Education.

Scientific paper

We discuss the repercussions of the development of infinitesimal calculus
into modern analysis, beginning with viewpoints expressed in the nineteenth and
twentieth centuries and relating them to the natural cognitive development of
mathematical thinking and imaginative visual interpretations of axiomatic
proof.

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