Spinoza Proposition 8

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In this paper I shall consider Spinoza’s argument offered in the second Scholium to Proposition 8, which argues for the impossibility of two substances sharing the same nature. I shall first begin by explaining, in detail, the two-step structure of the argument and proceed accordingly by offering a structured account of its relation to the main claim. Consequently I shall point out what I reasonably judge to be a mistake in Spinoza’s line of reasoning; that is, that the definition of a thing does not express a fixed number of individuals under that definition. By contrast, I hope to motivate the claim that a true definition of a thing does in fact express a fixed number of individuals that fall under that definition. I shall then present a difficulty against my view and concede in its insufficiency to block Spinoza’s conclusion. Finally, I shall resort to a second objection in the attempt to prove an instance by which two substances contain a similar attribute, yet differ in nature. Under these considerations, I conclude that Spinoza’s thesis is mistaken.
In the argument in the second Scholium to Proposition 8, Spinoza makes two claims which have the following form: First, there is necessarily for each individual existent thing a definite cause that accounts for its existence. Second, the definite cause for the existence of a thing must either be contained in the very nature and definition of the existent thing - in which case, existence belongs to the nature of the thing defined - or must be postulated externally from its definition and nature. If, for example, in the universe five women were to exist, or any several individuals of a kind for this matter, then there must necessarily be a definite cause for the existence of each...

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...Spinoza insists, it is nonetheless possible that two substances can be distinguished in virtue of them sharing an attribute and yet be distinct in nature by possessing an attribute not shared by the other. So, whereas substance A shares an attribute with substance B - namely, both share attribute C - the former differs in nature from the latter in terms of each one possessing an attribute not contained by the other. If the nature of Substance A is attribute C and attribute D, and if the nature of substance B is C and E, then it appears that the nature of each one, though each shares an attribute in common, is fundamentally distinct. So, it appears that Spinoza’s commitment to the thesis that no two substances share the same nature or attribute stands in error, and thus I conclude under the possibility two substances sharing an attribute while differing in nature.

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