Unity in Major Themes - Convergence vs. Arbitrariness in the Development of Mathematics

Mathematics – History and Overview

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To the memory of Gian-Carlo Rota (April 27, 1932 - April 18, 1999), Contribution to the XI Oesterreichisches Symposion zur Ges

Scientific paper

We describe and explain the desire, common among mathematicians, both for
unity and independence in its major themes. In the dialogue that follows, we
express our spontaneous and considered judgment and reservations by contrasting
the development of mathematics as a goal-driven process as opposed to one that
often seems to possess considerable arbitrariness.

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