Open AccessMathematics and Ethics
Author(s) -
Ole Skovsmose
Publication year - 2020
Publication title -
revista pesquisa qualitativa
Language(s) - English
Resource type - Journals
eISSN - 2525-8222
pISSN - 1809-0257
DOI - 10.33361/rpq.2020.v.8.n.18.341
Subject(s) - philosophy of mathematics , dimension (graph theory) , philosophy of mathematics education , action (physics) , mathematical practice , epistemology , set (abstract data type) , sociology , mathematics , mathematics education , computer science , pure mathematics , philosophy , physics , connected mathematics , quantum mechanics , programming language
In the philosophy of mathematics, ontological and epistemological questions have been discussed for centuries. These two set of questions span out a two-dimensional philosophy of mathematics. I find it important to establish a four dimensional philosophy of mathematics by adding two more dimensions, namely a sociological and an ethical dimension. The sociological dimension addresses the social formation of mathematics, while the ethical dimension addresses the mathematical formation of the social. In this article, I concentrate on exploring the ethical dimension by showing the broad range of social implications set in motion through bringing mathematics into action. These implications I illustrate in terms of quantifying, digitalising, serialising, categorising, and imagining. By the banality of mathematical expertise, I refer to the phenomenon that the formation of this expertise takes place in an ethical vacuum. To me this is a devastating feature of mathematical research and application practices. It is important that a philosophy of mathematics brings mathematics out of this vacuum.Keywords: Four-dimensional philosophy of mathematics; Ethics; Mathematics in action; Quantification; Digitalization.