Determinates and Determinables

The distinction between dimensions and units in physics is commonplace. But are dimensions a feature of reality? The most widely-held view is that they are no more than a tool for keeping track of the values of quantities under a change of units. This anti-realist position is supported by an argument from underdetermination: one can assign dimensions to quantities in many different ways, all of which are empirically equivalent. In contrast, I defend a form of dimensional realism, on which some (...) assignments of dimensions to quantities better describe reality than others. The argument I provide is a form of inference to the best explanation. In particular, the technique of dimensional analysis is explanatory, but it is only successful for certain systems of dimensions. Since these dimensional systems support scientific explanations, we have reason to believe that they are real. (shrink)

Fine (2017a) sets out a theory of content based on truthmaker semantics which distinguishes two kinds of consequence between contents. There is entailment, corresponding to the relationship between disjunct and disjunction, and there is containment, corresponding to the relationship between conjunctions and their conjuncts. Fine associates these with two notions of parthood: disjunctive and conjunctive. Conjunctive parthood is a very useful notion, allowing us to analyse partial content and partial truth. In this chapter, I extend the notion of disjunctive parthood (...) in terms of a structural relation of refinement, which stands to disjunctive parthood much as mereological parthood stands to conjunctive parthood. Philosophically, this relation may be modelled on the determinable- determinate relation, or on a fact-to-fact notion of grounding. I discuss its connection to two other Finean notions: vagueness (understood via precisification) and arbitrary objects. I then investigate what a logic of truthmaking with refinement might look like. I argue that (i) parthood naturally gives rise to a relevant conditional; (ii) refinement underlies a relevant notion of disjunction; and so (iii) truthmaker semantics with refinement is a natural home for relevant logic. The resulting formal models draw on Fine’s (1974) semantics for relevant logics. Finally, I use this understanding of relevant semantics to investigate the status of the mingle axiom. (shrink)

The general concept of a trope – that of a non-shareable character-grounder – admits of a distinction between modifier tropes and module tropes. Roughly, a module trope is self-exemplifying whereas a modifier trope is not. This distinction has wide-ranging implications. Modifier tropes are uniquely eligible to be powers and fundamental determinables, whereas module tropes are uniquely eligible to play a direct role in perception and causation. Moreover, each type of trope theory faces unique challenges concerning character- grounding. Modifier trope theory (...) faces challenges concerning the inscrutability of predication and the incompatibility with bundle theory, whereas module trope theory faces challenges concerning character overdetermination and a collapse into austere nominalism. These differences indicate that the modifier/module distinction divides the advantages of general trope theory and thus presents the trope theorist with a pivotal choice. (shrink)

Although physical theories routinely posit absolute quantities, such as absolute position or intrinsic mass, it seems that only comparative quantities such as distance and mass ratio are observable. But even if there are in fact only distances and mass ratios, the success of absolutist theories means that the world looks just as if there are absolute positions and intrinsic masses. If comparativism is nevertheless true, there is a sense in which this is a cosmic conspiracy: the comparative quantities satisfy certain (...) relations that only absolutism can explain. I show that such cosmic conspiracies are a pervasive feature of comparativist theories. The argument is structurally similar to the well-known No Miracles Argument for scientific realism. Just as anti-realism cannot explain the empirical adequacy of our theories in general, so comparativism cannot explain the empirical adequacy of absolutist theories in particular. (shrink)

Various strands of religious thought distinguish veneration from worship. According to these traditions, believers ought to worship God alone. To worship anything else, they say, is idolatry. And yet many of these same believers also claim to venerate—but not worship—saints, angels, images, relics, tombs, and even each other. But what's the difference? Tim Bayne and Yujin Nagasawa (2006: 302) are correct that “it seems to be extremely difficult to distinguish veneration from worship.” Many have argued throughout history that veneration collapses (...) into worship and that those who venerate saints or icons are guilty of idolatry. In this essay, we distinguish worship from veneration in two stages. First, we give a formal account of their difference. Drawing from St. John of Damascus (c. 675-749 AD), we argue that worship is a determinate of the determinable veneration. Second, we give more substantive accounts of both that explain their differences and similarities. Drawing again from St John, we argue that acts of veneration and worship signify subordination. Their difference, however, lies in the fact that worship alone requires absolute subordination. (shrink)

My interest in this chapter is to investigate this crossroad as applied to mental properties, considered powers. In particular, I scrutinize the possibility of taking the phenomenal property of feeling pain as a complex power or disposition. This possibility comes in handy in discussing panpsychism, the view that the ultimate elements of reality are phenomenal properties, which would ground physical properties as well.

One might suppose that Everettian quantum mechanics (EQM) is inhospitable to metaphysial indeterminacy (MI), given that, as A. Wilson (2020) puts it, "the central idea of EQM is to replace indeterminacy with multiplicity" (77). But as Wilson goes on to suggest, the popular decoherence-based understanding of EQM (henceforth: DEQM) appears to admit of indeterminacy in both world number and world nature, where the latter indeterminacy---our focus here---is plausibly metaphysical. After a brief presentation of DEQM (S1), we bolster the case for (...) there being MI in world nature in DEQM (S2). The remainder of the paper is devoted to a comparative assessment of the two main approaches to MI for purposes of accommodating this MI---namely, a metaphysical supervaluationist approach (as per Barnes and Williams 2011) and a determinable-based approach (as per Wilson 2013 and Calosi and Wilson 2018 and 2021). We briefly describe each approach (S3), then offer arguments in favour of a determinable-based approach to world nature MI in DEQM (S4). (shrink)

I give shape to a neglected debate in metaphysics, the debate over the ontological priority between individuality and collectivity. I distinguish the debate from more familiar ones in the recent literature and articulate what I call ontological collectivism, the view that collectivity is prior to individuality. I defend the in-principle intelligibility of the view from forceful general objections and argue that not only is it coherent but also of significant interest to the literature: it allows for overlooked alternatives on a (...) variety of central discussions. (shrink)

Judgments of visual resemblance (‘A looks like B’), unlike other judgments of resemblance, are often induced directly by visual experience. What is the nature of this experience? We argue that the visual experience that prompts a subject looking at A to judge that A looks like B is a visual experience of B. After elucidating this thesis, we defend it, using the ‘phenomenal contrast’ method. Comparing our account to competing accounts, we show that the phenomenal contrast between a visual experience (...) that induces the judgment that A looks like B, and a visual experience that does not induce this judgment, is best explained by the fact that the former visually represents B, whereas the latter does not. (shrink)

This paper defends Flatland—the view that there exist neither determination nor dependence relations, and that everything is therefore fundamental—from the objection from explanatory inefficacy. According to that objection, Flatland is unattractive because it is unable to explain either the appearance as of there being determination relations, or the appearance as of there being dependence relations. We show how the Flatlander can meet the first challenge by offering four strategies—reducing, eliminating, untangling and omnizing—which, jointly, explain the appearance as of there being (...) determination relations where no such relations obtain. Since, plausibly, dependence relations just are asymmetric determination relations, we argue that once we come mistakenly to believe that there exist determination relations, the existence of other asymmetries (conceptual and temporal) explains why it appears that there are dependence relations. (shrink)

What I call Mellor’s Question is the problem of whether determinables are properties of their determinates or properties of the particulars that possess these determinates. One can distinguish two basic competing theories of determinables that address the issue, implicitly if not explicitly. On the second-order theory, determinables are second-order properties of determinate properties; on the second-level theory, determinables are first-order properties of the particulars with these determinate properties. Higher-order properties are prima facie ontologically uneconomical, and in line with my general (...) view that ontological parsimony is vital to metaphysics, I consider it highly important which of the two theories is true. Firstly, I argue that the second-level theory offers the best explanation of the explananda (though the race is close), including the important but neglected phenomenon of ‘intermediate determinables’. Secondly, by paying attention to intermediate determinables and instantiation of higher-order properties, I argue that the second-level theory also is more ontologically economical. For these two reasons, this theory is preferable. (shrink)

Apart from his critique of Kant, Maimon’s significance for the history of philosophy lies in his crucial role in the rediscovery of Spinoza by the German Idealists. Specifically, Maimon initiated a change from the common eighteenth-century view of Spinoza as the great ‘atheist’ to the view of Spinoza as an ‘acosmist’, i.e., a thinker who propounded a deep, though unorthodox, religious view denying the reality of the world and taking God to be the only real being. I have discussed this (...) aspect of Maimon’s philosophy in other places, and though the topic of the current paper has an interesting relation to certain doctrines of Spinoza, I will not develop this issue here. Neither of these two issues -- Maimon’s criticism of Kant or his original interpretation of Spinoza -- was considered by Maimon as his main contribution to philosophy. There is little doubt that if Maimon were asked to point out his single most important innovation he would have picked his doctrine of the Principle of Determinability [Satz der Bestimmbarkeit]. Regarding this doctrine Maimon writes: ... [T]he principle of determinability laid down in this work is a principle of all objectively real thought, and consequently of philosophy as a whole too. All the propositions of philosophy can be derived from, and be determined by it [woraus sich alle Sätze herleiten und wodurch sie sich bestimmen lassen]. … I have made available a supreme principle of all objectively real thought, viz., the principle of determinability... and have established as the ground of the whole of pure philosophy -- a principle which, if it is ever grasped, will, I hope, withstand every scrutiny. These claims may strike the reader as somewhat presumptuous, to say the least. But, if we pay attention to the last sentence of the passage, we can see that Maimon doubts whether his great finding will ever be understood. It is not unlikely that in this phrase (“wenn er nur einmal eingesehen werden wird”) Maimon was reacting to his own repeatedly unsuccessful attempts to explain the principle. The fate of Maimon’s principle has not been much better in the few works written on Maimon’s philosophy, and though almost all commentators agree that the principle of determinability is the linchpin of the positive philosophy Maimon was trying to develop, we do not yet have a clear explanation of this principle, or of the reason why Maimon assigns such importance to it. Recently, Oded Schechter developed an excellent reading of this principle, and in most aspects my view agrees with his (primarily, in its rejecting the attempt to explain the principle as a version of Leibniz’s predicate-in-subject [Praedicatum inest subjecto] containment thesis). My paper consists of two parts. The first is expository in nature. In this part, I spell out briefly the main aspects of Maimon’s principle of determinability and its aims. In the second part, I examine Maimon’s surprising claim that once we accept the principle of determinability, we have to deny the possibility of two subjects sharing the same predicate. Maimon provides several proofs for this highly counterintuitive claim, and I will try to clarify and evaluate these proofs. (shrink)

It has been argued recently that perception is indeterminate. But there are more than one ways of spelling out what this means. The standard line is that perceptual states attribute different probabilities to different propositions. I provide an alternative to this view, where it is not the attitude, but the content of perceptual states that is indeterminate, inasmuch as it consists of the representation of determinable properties. This view does justice to the more general claim that perception is indeterminate without (...) appealing to probability either in the attitude or in the content. (shrink)

In this article, we present a new conception of internal relations between quantity tropes falling under determinates and determinables. We begin by providing a novel characterization of the necessary relations between these tropes as basic internal relations. The core ideas here are that the existence of the relata is sufficient for their being internally related, and that their being related does not require the existence of any specific entities distinct from the relata. We argue that quantity tropes are, as determinate (...) particular natures, internally related by certain relations of proportion and order. By being determined by the nature of tropes, the relations of proportion and order remain invariant in conventional choice of unit for any quantity and give rise to natural divisions among tropes. As a consequence, tropes fall under distinct determinables and determinates. Our conception provides an accurate account of quantitative distances between tropes but avoids commitment to determinable universals. In this important respect, it compares favorably with the standard conception taking exact similarity and quantitative distances as primitive internal relations. Moreover, we argue for the superiority of our approach in comparison with two additional recent accounts of the similarity of quantity tropes. (shrink)

Good book. See this review's final paragraph for my conspiracy theory defending reflectance physicalism.

Adverbialist theories of thought such as those advanced by Hare and Sellars promise an ontologically sleek understanding of a variety of intentional states, but such theories have been largely abandoned due to the ‘many-property problem’. In an attempt to revitalize this otherwise attractive theory, in a series of papers as well as his recent book, Uriah Kriegel has offered a novel reply to the ‘many-property problem’ and on its basis he argues that ‘adverbialism about intentionality is alive and well’. If (...) true, Kriegel will have shown that the logical landscape has long been unnecessarily constrained. His key idea is that the many-property problem can be overcome by appreciating that mental states stand in the determinable–determinate relation to one another. The present paper shows that this relation can’t save adverbialism because it would require thinkers to think more thoughts than they need be thinking. (shrink)

Trope theories aim to eschew the primitive dichotomy between characterising (properties, relations) and characterized entities (objects). This article (in Finnish) presents a new trope theoretical analysis of relational inherence as the best way out of the impasse created by the alleged necessity to choose between an eliminativist and a primitivist ("relata-specific") view about relations in trope theory.

Intentionalism about visual experiences is the view according to which the phenomenal character of a visual experience supervenes on the content of this experience. One of the most influential objections to this view is about blur: seeing a fuzzy contour clearly and seeing a sharp contour blurrily have different phenomenal character but the same content. I argue that this objection does not work if we understand perceptual content simply, and not particularly controversially, as partly constituted by the sum total of (...) perceptually attributed properties, some determinable, some determinate. (shrink)

A growing literature is premised on the claim that quantum mechanics provides evidence for metaphysical indeterminacy. But does it? None of the currently fashionable realist interpretations involve fundamental indeterminacy and the ‘standard interpretation’, to the extent that it can be made out, doesn't require indeterminacy either.

A problem for Aristotelian realist accounts of universals (neither Platonist nor nominalist) is the status of those universals that happen not to be realised in the physical (or any other) world. They perhaps include uninstantiated shades of blue and huge infinite cardinals. Should they be altogether excluded (as in D.M. Armstrong's theory of universals) or accorded some sort of reality? Surely truths about ratios are true even of ratios that are too big to be instantiated - what is the truthmaker (...) of such truths? It is argued that Aristotelianism can answer the question, but only a semi-Platonist form of it. (shrink)

Theories of causation grounded in counterfactual dependence face the problem of profligate omissions: numerous irrelevant omissions count as causes of an outcome. A recent purported solution to this problem is proportionality, which selects one omission among many candidates as the cause of an outcome. This paper argues that proportionality cannot solve the problem of profligate omissions for two reasons. First: the determinate/determinable relationship that holds between properties like aqua and blue does not hold between negative properties like not aqua and (...) not blue. Negative properties are those at stake in omissive causation. Second: proportionality misconstrues the nature of the problem to be solved. (shrink)

It is widely held that some properties are more natural than others and that, as David Lewis put it, “an adequate theory of properties is one that recognises an objective difference between natural and unnatural properties” (Lewis 1983, p. 347). The general line of thought is that such ‘elitism’ about properties is justified as it can give simple and elegant solutions to a number of old metaphysical and philosophical problems. My aim is to analyze what these natural properties are: super-determinates (...) or determinable (or maybe both) and argue that all three of these options would lead to serious difficulties for metaphysical elitism and would prevent natural properties from fulfilling their supposed grand explanatory role. (shrink)

Ingvar Johansson has argued that there are not only determinate universals, but also determinable ones. I here argue that this view is misguided by reviving a line of argument to the following effect: what makes determinates falling under a same determinable similar cannot be distinct from what makes them different. If true, some similarities — imperfect similarities between simple determinate properties — are not grounded in any kind of property-sharing. I suggest that determinables are better understood as maximal disjunctions of (...) brutely and imperfectly similar determinates. Such brute similarities have been thought to clash with realism about universals. I argue that this worry stems from the mistaken assumption that perfect and imperfect similarities are relations of a same kind. If exact and inexact resemblances are distinct and heterogeneous explananda, the realist about universals might explain the first thanks to property-sharing, while happily leaving imperfect similarities between properties unexplained. (shrink)

This chapter argues that from a particularly weak recombination principle and plausible assumptions about the nature of parthood and location, it follows that it is possible that the mereological structure of the material world and that of space-time fail to correspond to one another in very radical ways. The chapter suggests, moreover, that rejecting the possibility of such failures of correspondence leaves us with a choice of no less unappealing alternatives. It also discusses a few ways in which their possibility (...) is relevant to various important debates in metaphysics. (shrink)

Sydney Shoemaker's "Subset Account" offers a new take on determinable properties and the realization relation as well as a defense of non-reductive physicalism from the problem of mental causation. At the heart of this account are the claims that (1) mental properties are determinable properties and (2) the causal powers that individuate a determinable property are a proper subset of the causal powers that individuate the determinates of that property. The second claim, however, has led to the accusation that the (...) effects caused by the instantiation of a determinable property will also be caused by the instantiation of the determinates of that property—so instead of solving the problem of mental causation, the Subset Account ends up guaranteeing that the effects of mental properties (and all other types of determinable property) will be causally overdetermined! In this paper, I explore this objection. I argue that both sides in this debate have failed to engage the question at the heart of the objection: Given that both a determinable property and its determinates have the power to cause some effect (E), does it follow that both will actually cause E when the relevant conditions obtain? To make genuine progress towards answering this question, we need to take a serious look at the metaphysics of causation. With the debate properly reframed and issues about the metaphysics of causation front and center, I explore the question of whether the Subset Account is doomed to result in problematic causal overdetermination. (shrink)

A material simple is a material object that has no proper parts. Some philosophers have argued for the possibility of extended simples. Some have even argued for the possibility of heterogeneous simples or simples that have intrinsic variations across their surfaces. There is a puzzle, though, that is meant to show that extended, heterogeneous simples are impossible. Although several plausible responses have been given to this puzzle, I wish to reopen the case against extended, heterogeneous simples. In this paper, I (...) briefly canvass responses to this puzzle which may be made in defense of extended, heterogeneous simples. I then present a new version of this puzzle which targets simples that occupy atomic yet extended regions of space. It seems that none of the traditional responses can be used to successfully save this particular kind of extended simple from the new puzzle. I also consider some non-traditional defenses of heterogeneous extended simples and argue that they too are unsuccessful. Finally, I will argue that a substantial case can be made against the possibility of extended heterogeneous simples of any kind. (shrink)

This paper presents a puzzle or antinomy about the role of properties in causation. In theories of properties, a distinction is often made between determinable properties, like red, and their determinates, like scarlet (see Armstrong 1978, volume II). Sometimes determinable properties are cited in causal explanations, as when we say that someone stopped at the traffic light because it was red. If we accept that properties can be among the relata of causation, then it can be argued that there are (...) good reasons for allowing that some of these are determinable properties. On the other hand, there are strong arguments in the metaphysics of properties to treat properties as sparse in David Lewis’s (1983) sense. But then it seems that we only need to believe in the most determinate properties: particular shades of colour, specific masses, lengths and so on. And if we also agree with Lewis that sparse properties are ‘the ones relevant to causal powers’ (1983: 13) it seems we must conclude that if properties are relevant to causation at all, then all of these are determinate properties. I call this ‘the antinomy of determinable causation’. On the one hand, we have a good argument for the claim that determinable properties can be causes, if any properties are. I call this the Thesis. But on the other hand, we have a good argument for the claim that only the most determinate properties can be causes, if any properties are. I call this the Antithesis. Clearly, we need to reject either the Thesis or the.. (shrink)