From radical to banal evil: Hannah Arendt against the justification of the unjustifiable

Two central strands in Arendt's thought are the reflection on the evil of Auschwitz and the rethinking in terms of politics of Heidegger's critique of metaphysics. Given Heidegger's taciturnity regarding Auschwitz and Arendt's own taciturnity regarding the philosophical implications of Heidegget's political engagement in 1933, to set out how these strands interrelate is to examine the coherence of Arendt's thought and its potential for a critique of Heidegger. By refusing to countenance a theological conception of the evil of Auschwitz, Arendt consolidates the break with theology that Heidegger attempts through his analysis of the essential finitude of Dasein. In the light of Arendt's account of evil, it is possible to see the theological vestiges in Heidegger's ontology. Heidegger's resumption of the question concerning the categorical interconnections of the ways of Being entails an abandonment of finitude: he accommodates and tacitly justifies that which can have no human justification.

The philosophical significance of Cox's theorem

Cox's theorem states that, under certain assumptions, any measure of belief is isomorphic to a probability measure. This theorem, although intended as a justification of the subjectivist interpretation of probability theory, is sometimes presented as an argument for more controversial theses. Of particular interest is the thesis that the only coherent means of representing uncertainty is via the probability calculus. In this paper I examine the logical assumptions of Cox's theorem and I show how these impinge on the philosophical conclusions thought to be supported by the theorem. I show that the more controversial thesis is not supported by Cox's theorem. (C) 2003 Elsevier Inc. All rights reserved.

Learning mathematics in a classroom community of inquiry

This article considers the question of what specific actions a teacher might take to create a culture of inquiry in a secondary school mathematics classroom. Sociocultural theories of learning provide the framework for examining teaching and learning practices in a single classroom over a two-year period. The notion of the zone of proximal development (ZPD) is invoked as a fundamental framework for explaining learning as increasing participation in a community of practice characterized by mathematical inquiry. The analysis draws on classroom observation and interviews with students and the teacher to show how the teacher established norms and practices that emphasized mathematical sense-making and justification of ideas and arguments and to illustrate the learning practices that students developed in response to these expectations.