What is the relation between metaphysical necessity and essence? This paper defends the view that the relation is one of identity: metaphysical necessity is a special case of essence. My argument consists in showing that the best joint theory of essence and metaphysical necessity is one in which metaphysical necessity is just a special case of essence. The argument is made against the backdrop of a novel, higher-order logic of essence, whose core features are introduced in the first part of (...) the paper. The second part investigates the relation between metaphysical necessity and essence in the context of HLE. Reductive hypotheses are among the most natural hypotheses to be explored in the context of HLE. But they also have to be weighed against their non-reductive rivals. I investigate three different reductive hypotheses and argue that two of them fare better than their non-reductive rivals: they are simpler, more natural, and more systematic. Specifically, I argue that one candidate reduction, according to which metaphysical necessity is truth in virtue of the nature of all propositions, is superior to the others, including one proposed by Kit Fine, according to which metaphysical necessity is truth in virtue of the nature of all objects. The paper concludes by offering some reasons to think that the best joint theory of essence and metaphysical necessity is one in which the logic of metaphysical necessity includes S4, but not S5. (shrink)

This paper provides an overview of the history of the notion of essence in 20th century analytic philosophy, focusing on views held by influential analytic philosophers who discussed, or relied on essence or cognate notions in their works. It in particular covers Russell and Moore’s different approaches to essence before and after breaking with British idealism, the (pre- and post-)logical positivists’ critique of metaphysics and rejection of essence (Wittgenstein, Carnap, Schlick, Stebbing), the tendency to loosen the notion of logical necessity (...) to accommodate certain metaphysical truths in Wittgenstein and others, Quine’s logical rehabilitation of metaphysics and criticism of de re modality, the modal view of essence promoted by the development of quantified modal logic (C. I. Lewis, Barcan Marcus, Kripke) and direct reference theory (Barcan Marcus, Kripke, Putnam), and the emergence of the notion of metaphysical necessity (Kneale, Kripke), and finally Fine’s re-establishment of a Neo-Aristotelian, hyperintensional notion of essence in contemporary metaphysics. (shrink)

This paper develops a novel theory of abstraction—what we call collective abstraction. The theory solves a notorious problem for noneliminative structuralism. The noneliminative structuralist holds that in addition to various isomorphic systems there is a pure structure that can be abstracted from each of these systems; but existing accounts of abstraction fail for nonrigid systems like the complex numbers. The problem with the existing accounts is that they attempt to define a unique abstraction operation. The theory of collective abstraction instead (...) simultaneously defines a collection of distinct abstraction operations, each of which maps a system to its corresponding pure structure. The theory is precisely formulated in an essentialist language. This allows us to throw new light on the question to what extent structuralists are committed to symmetric dependence. Finally, we apply the theory of collective abstraction to solve a problem about converse relations. (shrink)

In the present inquiry, I defend the claim that the thesis that essence is the source of all necessity is compromised. I argue that, on pain of circularity, essentialists cannot successfully account for the necessity of essences. In response to the difficulties I raise, I discuss potential solutions on behalf of essentialists and explain why I find none of them compelling. My conclusion on the matter is that the best essentialists can hope for is a view where the necessity of (...) essences is left unexplained. (shrink)

Teitel (Mind 128:39-68, 2019) argues that the following three doctrines are jointly inconsistent: i) the doctrine that metaphysical necessity reduces to essence; ii) the doctrine that possibly something could fail to exist; and iii) the doctrine that metaphysical necessity obeys a modal logic of at least S4. This paper presents a novel solution to Teitel’s puzzle, regimented in a higher-order logical setting, which is crucially based on the idea that the putative reduction of metaphysical necessity to essence should be understood (...) through appealing to some hyperintensional notion—such as grounding or real definition—rather than the notion of identity/identification. Moreover, it will also be shown that the proposed reductive account has a significant advantage over its rival account. (shrink)

Amie Thomasson has argued against descriptivism about modality, which starts from the idea that modal statements serve to track features of the world and that these features explain the truth-values of modal claims. Thomasson objects that descriptivists cannot satisfactorily explain how modal features fit into the naturalistic picture of the world and that they cannot account for our apparent capacity to acquire modal knowledge. On Thomasson’s alternative to descriptivism (called ‘normativism’), the function of modal claims is to facilitate communication about (...) certain semantic rules. I argue that it is not obvious that the semantic rules that Thomasson takes to be expressed by modal truths really exist. Moreover, I defend a specific version of descriptivism – essentialism – against Thomasson’s objections. Essential truths play a central role in the best explanations of many facts about the world. That includes the explanations delivered by our best scientific theories once these theories are correctly interpreted philosophically. In this way, essences earn their keep in a naturalistic view of the world. Furthermore, the abductive methods by which we confirm our explanatory theories also support certain theses about essences. This allows essentialists to explain knowledge of essences and modal knowledge. (shrink)

I present a novel argument against the non-contingency of identity. I first argue that the necessity of distinctness is intimately connected with numerous paradoxes of recombination. In particular, I argue that those who reject the necessity of distinctness have natural solutions to various paradoxes of recombination which have plagued the metaphysics of modality. Moreover, I argue that adding the necessity of distinctness to modest, paradox-free assumptions is sufficient to reinstate the paradoxes. Given that identity is non-contingent only if distinctness is (...) necessary, I suggest this constitutes new evidence against the non-contingency of identity. (shrink)

Peter Van Inwagen argues that The Principle of Sufficient Reason (PSR) either leads to contradiction or it leads to necessitarianism. Although I agree with Van Inwagen that the relationship between the PSR and necessitarianism is close, I argue that the PSR is compatible with innocent versions of necessitarianism. In this project my main argument is that modal realism can account for the PSR and integrate it within an innocent version of necessitarianism. My main claim will be that each fact in (...) each possible world is grounded in the principle of plenitude. Also, while each fact is grounded in plenitude, it avoids rigid necessitarianism because (i) actuality is not captured by the PSR, (ii) things could be otherwise because there are other worlds, and due to the principle of recombination (iii) cardinality of possible worlds is maximized and (iv) there are no necessary connections between distinct individuals. As a result, the relationship between modal realism and the PSR is symbiotic. Through modal realism, the PSR also results as: having its scope extended to the realm of all possibilia rather than being confined to mere actuality; it solves indeterminacy problems like Leibniz’s problem of space or the hard problem of consciousness; it accounts for facts in lawless worlds etc. On the other hand, through the PSR, modal realism gets one more benefit in its inventory because it accounts for the PSR. Thus, modal realism still continues on Lewis’ paradoxical path of proving to be highly pragmatic but counterintuitive at the same time. If added benefits are worth the costs for modal realism is still an open question. (shrink)

According to many contemporary metaphysicians, we ought to theorize in terms of grounding because of its promise to explicate the idea of reality having a layered structure. However, a tension emerges when one combines the layered structure view with the view that higher-level facts are not reducible to lower-level facts. This tension emerges from two problems. The first problem arises from the fact that grounding explanations entail true universal generalizations. In order to satisfy this constraint, we will face serious pressure (...) to make sure the entities involved in the grounded facts are appropriately connected to the entities involved in the grounding facts, otherwise the generalizations associated with those grounding claims will come out false. However, ensuring the appropriate connections seemingly leaves no way for the non-reductivist to fully squeeze out reference to higher-level entities as we descend the levels of ground. This threatens the result that some higher-level facts must be taken as fundamental, which the non-reductivist cannot accept. -/- I argue that we can resolve the tension by taking the connections at issue to be essentially true. We can call this view essentialist non-reductivism. One significant upshot of the argument is that we can see not only that essentialist non-reductivism successfully resolves the tension, but that in principle no better solution could be offered. (shrink)

The aim of this paper is to relate the debate about the status of S4 and S5 as modal logics for metaphysical modality to the debate about the identity of propositions. The necessary truth of the characteristic axioms of S4 and S5 (when interpreted in terms of metaphysical modality) is derived from a view about the identity of propositions, the view that necessarily equivalent propositions are identical.

Contingentism is the view that it is contingent which things exist. Despite its plausibility, advocates of contingentism face a well-known ‘challenge’ to demonstrate that they can draw what appear to be intelligible modal distinctions (Williamson Modal Logic as Metaphysics. Oxford University Press, Oxford, 2013). In this article, I argue that if certain controversial modal principles fail, the challenge contingentists face becomes much more difficult. Whereas extant challenges concern contingentists’ inability to draw quite theoretical second-order modal distinctions, I present a challenge (...) which concerns contingentists’ inability to draw simpler first-order distinctions. This indicates that in certain modal settings there may well be significant first-order barriers to maintaining contingentism. (shrink)

The problem of cancer is examined from the metaphysical standpoint of essence and ground. An essentialist definition of cancer is assumed that would be valid in all possible worlds in which cancer could logically exist. The grounds of cancer are then examined and elucidated. Two grounding cancer properties are identified and discussed: symmetry- breaking and computational intelligence. Each examination leads to concrete conclusions for novel therapeutic approaches and a more fundamental understanding of what cancer is at bottom. Other possible cancer (...) grounding properties related to evolution, adaptability and stochastic features are identified for future work. This approach is novel and offers new solutions to the problem of cancer. (shrink)