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HEIDEGGER AND THE LIMITS OF MATHEMATICAL DETERMINATION IN THE KNOWLEDGE OF LIVING ORGANISMS

ABSTRACT

In the Winter Course of 1928/29, Heidegger declared that an unrestricted mathematical determination in the knowledge of living beings would imply a failure in the purpose of developing the ontology for organic life. In this paper, I examine the reasons that justify this idea. Based on interpretations of biological researches carried by Hans Driesch, J. v. Uexküll and Hans Spemann, Heidegger’s argument has three steps 1) a mereological account of the organic body, which is conceived both as a functional unity of capabilities and as intrinsically related to an environment; 2) a formal analysis of the dynamic constitution of capabilities, which instinctually driven structure is a regulatory traversing of a dimension; 3) an interpretation of the unification principle of capabilities, which is conceived as a capability of behaving towards something within an environment. This argument entails two general conclusions: first, the unrestricted mathematical determination implies a mechanical description that presupposes the neglect of the modal structure of organisms; second, the dimensional, regulatory and proto-intentional structure of the organic capabilities is the limiting factor of the mathematical determination of living organisms.

Keywords
Heidegger; Spemann; Biology; Mathematics; Ontology; Organic life

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