Derrida and Cavaillès: Mathematics and the Limits of Phenomenology


Authors
Michael Roubach
Hebrew University of Jerusalem
Abstract
This paper examines Derrida's interpretation of Jean Cavaill s's critique of phenomenology in On Logic and the Theory of Science . Derrida's main claim is that Cavaill s's arguments, especially the argument based on G del's incompleteness theorems, need not lead to a total rejection of Husserl's phenomenology, but only its static version. Genetic phenomenology, on the other hand, not only is not undermined by Cavaill s's critique, but can even serve as a philosophical framework for Cavaill s's own position. I will argue that Derrida's approach to Cavaill s is fruitful, facilitating the exposition of some central Cavaill sian ideas, including the notion of dialectics. Nevertheless, it is important to evaluate Derrida's own arguments against static phenomenology. I undertake such an assessment in the last section of the paper, showing that G del's theorems do not in themselves warrant rejection of static phenomenology. I base this conclusion in part on G del's own understanding of phenomenology as a philosophical basis for mathematics
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DOI 10.1080/09672551003685963
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Epistemology, Ontology and the Continuum.Carl J. Posy - 2000 - In Emily Grosholz & Herbert Breger (eds.), The Growth of Mathematical Knowledge. Kluwer Academic Publishers. pp. 199--219.

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