Abstract
In order to discuss the temporal structure of mathematical research, this essay offers four related definitions of a mathematical object from different times and places. It is argued that in order to appreciate the differences between these definitions, the historian needs to understand that none of them made sense in mathematical practice without a technical framework, referred to but not explained in the definitions themselves (an "epistemic configuration of research"); that the dynamics of the epistemic objects of mathematical research are secondary to the dynamics of these epistemic configurations as a whole; and that the dynamics of epistemic configurations of mathematical research do not follow law-like processes. Very different types of change may happen, and some of them link the dynamics of epistemic configurations with events and developments far beyond the bounds of the research field in question. These insights have historiographical consequences that require us to rethink the kind of temporality ascribed to mathematics.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
