Spinoza’s Ontology Geometrically Illustrated: A Reading of Ethics IIP8S

In Beth Lord (ed.), Spinoza’s Philosophy of Ratio. Edinburgh: Edinburgh University Press. pp. 5-18 (2018)
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Abstract

This essay offers an in-depth reading of the geometrical illustration of Ethics IIP8S and shows how it can be used to explicate the whole architecture of Spinoza’s system by specifying the way in which all the key structural features of his basic ontology find their analogies in the example. The illustration can also throw light on Spinoza’s ontology of finite things and inform us about what is at stake when we form universal ideas. In general, my reading of IIP8S thus elucidates what it means, for Spinoza, to think geometrically or to consider geometry as a model: fundamentally, geometricity is not a form of exposition but the way in which reality itself is structured.

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Valtteri Viljanen
University of Turku

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