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Interlacing the singularity, the diagram and the metaphor. Translated by Simon B. Duffy

Gilles Châtelet

In Simon Duffy (ed.), Virtual Mathematics: the logic of difference. Clinamen (2006)

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The Role of Notations in Mathematics.Carlo Cellucci - 2020 - Philosophia 48 (4):1397-1412.details The terms of a mathematical problem become precise and concise if they are expressed in an appropriate notation, therefore notations are useful to mathematics. But are notations only useful, or also essential? According to prevailing view, they are not essential. Contrary to this view, this paper argues that notations are essential to mathematics, because they may play a crucial role in mathematical discovery. Specifically, since notations may consist of symbolic notations, diagrammatic notations, or a mix of symbolic and diagrammatic notations, (...) Download Export citation Bookmark 1 citation
Lamps, rainbows and horizons: Spatializing knowledge in naturphilosophical epistemology.Ben Woodard - 2016 - Angelaki 21 (4):23-41.details In the present essay I address the apparently problematic status of epistemology in F.W.J. Schelling’s work. Given the overblown emphasis on Schelling’s anti-Kantianism, there would seem to be little hope in articulating anything like a theory of knowledge in Schelling’s thought. For the sake of brevity I emphasize knowledge’s spatial and navigational functions in Schelling’s texts. For Schelling, the navigational is that which locates, and constructively constrains, the capacity of the subject to synthesize. This is accomplished, I argue, via a (...) Download Export citation Bookmark

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