Abstract

To be an Aristotelian about universals is to hold that universals depend for their existence on their exemplifiers. An argument against Aristotelianism about universals has recently been put forward by Costa to the effect that a contradiction follows from assuming a certain formulation of Aristotelianism together with some highly plausible principles governing the notions employed in that formulation. In this paper, we provide different ways of articulating the Aristotelian position which, while being related with some of the main contributions in the current Aristotelian tradition, do not fall prey to the argument.

Highlights

  • To be an Aristotelian about universals is to hold that universals depend for their existence on their exemplifiers

  • The idea is to modify, slightly but crucially, the version of Aristotelianism attacked by Costa while maintaining that Aristotelianism about universals is concerned with grounding the existence of universals

  • It can be maintained that it is essential for a universal to be exemplified by something, i.e. that the fact that a universal is exemplified by something obtains in virtue of the very essence of that universal, or yet that the proposition that universal U is exemplified by something is true in virtue of the very essence of U. This way of formulating Aristotelianism about universals can be regimented by introducing a modality x meaning: it is the case in virtue of the essence of x that

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Summary

Aristotelianism about universals

To be an Aristotelian about universals is to hold that universals depend for their existence on their exemplifiers. The precise formulation of a consistent Aristotelian view of universals, is not an easy task, primarily due to the fact that the notion of ontological dependence involved in this view is far from being transparent. Costa has put forward an argument against Aristotelianism about universals by relying on one precise formulation of the Aristotelian thesis, according to which the existence of a universal is grounded in its being exemplified by something (Costa 2019). The argument, which has the merit of presenting a first precise formal formulation of the Aristotelian thesis, shows that this version of Aristotelianism about universals, together with some plausible principles about relations, exemplification

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The argument against Aristotelianism
Premises
Argument
Three ways of being Aristotelian
Working without exemplification I
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Working without exemplification II
Working with essences
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Challenging the notion of grounding
Varieties of dependence
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Grounding and dependence
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Assuming dependence as primitive
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On irreflexivity and the relata-first principle
Challenging the irreflexivity of grounding
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Challenging the relata-first principle
Conclusion
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