科研之友
微信
新浪微博
Facebook
分享链接
摘要
We analyze the developments in mathematical rigor from the viewpoint of a Burgessian critique of nominalistic reconstructions. We apply such a critique to the reconstruction of infinitesimal analysis accomplished through the efforts of Cantor, Dedekind, and Weierstrass; to the reconstruction of Cauchy%26apos;s foundational work associated with the work of Boyer and Grabiner; and to Bishop%26apos;s constructivist reconstruction of classical analysis. We examine the effects of a nominalist disposition on historiography, teaching, and research.
- 出版日期2012-3
