\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2014a.00524}
\itemau{Skovsmose, Ole}
\itemti{Mathematics: a critical rationality?}
\itemso{Philos. Math. Educ. J. 25, Special Issue: Critical Mathematics Education, 24 p., electronic only (2010).}
\itemab
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 not-yet-realised 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, knowledge-power dialectics, deconstruction and contingency are amplified.
\itemrv{~}
\itemcc{E20}
\itemut{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}
\itemli{http://people.exeter.ac.uk/PErnest/pome25/Ole%20Skovsmose%20%20Mathematics%20A%20Critical%20Rationality.doc}
\end