Spinoza’s metaphysics of infinity: from indeterminacy, infinity follows

British Journal for the History of Philosophy:1-28 (forthcoming)
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Abstract

The importance of infinity for Spinoza's philosophy can hardly be overstated. Understanding Spinoza means understanding (Spinoza's take on) infinity. In this paper, I present a deflationary account of Spinoza's infinity: Infinities across ontological states (modes, attributes, substance) follow the same general trajectory: From an indeterminate essence, infinitely many things follow. And as a consequence, Spinoza's universe is infinite all the way down. Some think that to Spinoza, infinity is indeterminacy (acosmism). Others say that infinity in substance follows from the essence of substance, while infinity in modes does not. I argue that both views are false. Instead, infinity in modes and infinity in substance emerges from the numerical indeterminacy of essences. I show that this view can be traced back to Descartes' famous wax example and that it is manufactured to avoid a particular contradiction. In order to specify my point, I demonstrate that both ‘absolute infinity’ (God) and ‘in suo genere infinity’ (attributes) must be read through the deflationary account of infinity. I also argue that we do not need an additional qualitative indeterminacy and that causation and conception are not always parallel (such as in reductio proofs).

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