Dynneson, Andrew and Alvarez, Aaron
(2016)
Infinitesimal Calculus as an Epistemic Mediator: A commentary on the use of Squares in Elementary Statistical Theory.
[Preprint]

PDF
dynnesonAlvarezSquaresinStatistics.pdf
 Draft Version
Download (1MB)

Abstract
This is a commentary on the use of squares in elementary statistics. One sees an ubiquitous use of squares in statistics, and the analogy of "distance in a statistical sense" is teased out. We conjecture that elementary statistical theory has its roots in classical Calculus, and preserves the notion of two senses described in this paper. We claim that the senses of the differentials dx/dy hold between classical and modern infinitesimal Calculus and show how this sense becomes cashed out in both models. We suggest that the commonalities of both accounts can be used to find a informational realist account of Calculus. This account involves infinitesimal Calculus as acting as an epistemic mediator that expands our conceptual space and enables us to create new measures.
Available Versions of this Item

Infinitesimal Calculus as an Epistemic Mediator: A commentary on the use of Squares in Elementary Statistical Theory. (deposited 22 May 2016 16:28)
[Currently Displayed]
Monthly Views for the past 3 years
Monthly Downloads for the past 3 years
Plum Analytics
Actions (login required)

View Item 