The University of Montana
Department of Mathematical Sciences
Technical report #12/2005
and the Evolution of Rigor
The University of Montana, USA
Guillermina Waldegg (Posthumously)
In this paper we discuss the origins and the evolution of rigor in mathematics in relation to the creation of mathematical objects. We provide examples of key moments in the development of mathematics that support our thesis that the nature of mathematical objects is co-substantia1 with the operational inventions that accompany them and that determine the normativity to which they are subjected.
Keywords: Arithmetic; Calculus; Geometry; History of mathematics; Mathematics foundations; Normativity; Non-Euclidean Geometry; Operationality; Proof
Classification: 01, 03, 97
Pre-print of: Moreno-Armella, L., Sriraman, B.,& Waldegg, G . Mathematical Objects and the evolution of rigor. In press in the Mediterranean Journal for Research in Mathematics in Mathematics Education.
Download Technical Report: Pdf (95 KB)