
06238821
j
2014a.00524
Skovsmose, Ole
Mathematics: a critical rationality?
Philos. Math. Educ. J. 25, Special Issue: Critical Mathematics Education, 24 p., electronic only (2010).
2010
Professor Paul Ernest, University of Exeter, Graduate School of Education, Exeter
EN
E20
philosophy of mathematics
theory of science
sociology of science
mathematics in action
technological imagination
hypothetical reasoning
legitimation
justification
realisation
elimination of responsibility
mathematical rationality
critical rationality
mathematics and philosophy
http://people.exeter.ac.uk/PErnest/pome25/Ole%20Skovsmose%20%20Mathematics%20A%20Critical%20Rationality.doc
Summary: One can view mathematics as a sublime rationality, as a malignant outlook, or as an insignificant way of thinking. In order to open up a different interpretation of mathematics, I investigate mathematics in action in terms of the following issues: (1) technological imagination which refers to the possibility of constructing technical possibilities, (2) hypothetical reasoning which addresses consequences of notyetrealised technological initiatives, (3) legitimation or justification which refers to possible validations of technological actions, (4) realisation which signifies that mathematics itself comes to constitute part of reality, and (5) elimination of responsibility which might occur when ethical issues are eliminated from the general discourse about technological initiatives and their implications. These investigations of mathematics in action highlight that mathematics rationality is critical as it is both significant and undetermined. Furthermore I point out that through investigations of mathematics in action the notions of structuration, liquid modernity, knowledgepower dialectics, deconstruction and contingency are amplified.