# A Burgessian Critique of Nominalistic Tendencies in Contemporary Mathematics and its Historiography

@article{Katz2012ABC, title={A Burgessian Critique of Nominalistic Tendencies in Contemporary Mathematics and its Historiography}, author={Karin U. Katz and Mikhail G. Katz}, journal={Foundations of Science}, year={2012}, volume={17}, pages={51-89} }

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’s foundational work associated with the work of Boyer and Grabiner; and to Bishop’s constructivist reconstruction of classical analysis. We examine the effects of a nominalist disposition on…

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