Determinates and Determinables

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 it is a cosmic conspiracy that the world looks just (...) as if there are absolute quantities: 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)

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)

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)

Comparativism maintains that physical quantities are ultimately relational in character. For example, an object’s having 1 kg rest mass depends on the relations it stands in to other objects in the universe. Comparativism, its advocates allege, reveals that quantities are not metaphysically mysterious: Quantities are reducible to familiar relations holding among physical objects. Modal accounts of intrinsicality—such as Lewis’s duplication account or Langton and Lewis’s combinatorial account—are popular accounts preserving many of our core intuitions regarding which properties are intrinsic. I (...) argue that to endorse both comparativism and a modal account of intrinsicality, we must reject the plausible thesis that determinable properties are instantiated solely in virtue of their determinates. I call this ‘the determinacy tension’ and I suggest approaches for dissolving it. (shrink)

The Ethical Question asks whether ethical values in artworks determine their aesthetic value and, if so, how. I argue that the question is ambiguous between a direct and an indirect reading. I show how the indirect reading is philosophically uninteresting because it has an obvious answer: a view called ‘immoralism’. I also show how most of the significant figures in the relevant literature address the indirect form of the question anyway—needlessly, if I am right. Finally, I consider whether some version (...) of the indirect question is more philosophically interesting, connecting it to the so-called ‘qua problem’. I attempt to give clarity to the discussion by applying work on the virtues and vices of explanations. (shrink)

In Calosi and Wilson (Phil Studies 2019/2018), we argue that on many interpretations of quantum mechanics (QM), there is quantum mechanical indeterminacy (QMI), and that a determinable-based account of metaphysical indeterminacy (MI), as per Wilson 2013 and 2016, properly accommodates the full range of cases of QMI. Here we argue that this approach is superior to other treatments of QMI on offer, both realistic and deflationary, in providing the basis for an intelligible explanation of the interference patterns in the double-slit (...) experiment. We start with a brief overview of the motivations for QMI and for a determinable-based account of MI (§1). We then apply a developed 'glutty' implementation of determinable-based QMI to the superposition-based QMI present in the double-slit experiment, and positively compare the associated explanation of double-slit interference with that available on a metaphysical supervaluationist account of QMI (§2). We then present and respond to objections, due to Glick (2017) and Torza (2017), either to QMI (§3) or to our specific account of QMI (§4); in these sections we also positively compare our treatment of double-slit interference to that available on Glick's deflationary treatment of QMI. We conclude with some dialectical observations (§5). (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)

On many currently live interpretations, quantum mechanics violates the classical supposition of value definiteness, according to which the properties of a given particle or system have precise values at all times. Here we consider whether either metaphysical supervaluationist or determinable-based approaches to metaphysical indeterminacy can accommodate quantum metaphysical indeterminacy (QMI). We start by discussing the standard theoretical indicator of QMI, and distinguishing three seemingly different sources of QMI (S1). We then show that previous arguments for the conclusion that metaphysical supervaluationism (...) cannot accommodate QMI, due to Darby 2010 and Skow 2010, are unsuccessful, in leaving open several supervaluationist responses. We go on to provide more comprehensive argumentation for the negative conclusion. Here, among other results, we establish that the problems for supervaluationism extend far beyond the concern that is the focus of Darby's and Skow's discussions (according to which a supervaluationist approach is incompatible with the orthodox interpretation, in light of the Kochen-Specker theorem) to also attach to common understandings of other interpretations on which there is QMI (S2). We then argue that a determinable-based account can successfully accommodate all three varieties of QMI (S3). We close by observing the positive mutual bearing of our results on the coherence and intelligibility of both quantum mechanics and metaphysical indeterminacy (S4). (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)

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)

Several essays in this volume exploit the idea that in visual experience, and in other forms of consciousness, something is present to consciousness, or phenomenally present to the experiencing subject. This is a venerable idea. Hume, for example, understood conscious experience in terms of the various items ‘present to the mind’. However, it is not obvious how the idea should be understood and there are grounds for worrying that there is no good way of making it precise. Here I explore (...) a way of making precise the idea that properties of things, such as their shapes and colours, are present to us in visual experience. I argue that this important idea is coherent, well motivated and empirically plausible, provided that we reject two traditional assumptions: that maximally determinate properties, rather than just determinable properties, are visually present; that we can tell through introspection exactly which properties are visually present to us. (shrink)

Humeans have a problem with quantities. A core principle of any Humean account of modality is that fundamental entities can freely recombine. But determinate quantities, if fundamental, seem to violate this core principle: determinate quantities belonging to the same determinable necessarily exclude one another. Call this the problem of exclusion. Prominent Humeans have responded in various ways. Wittgenstein, when he resurfaced to philosophy, gave the problem of exclusion as a reason to abandon the logical atomism of the Tractatus with its (...) free recombination of elementary propositions. Armstrong promoted a mereological solution to the problem of exclusion; but his account fails in manifold ways to provide a general solution to the problem. Lewis studiously avoided committing to any one solution, trusting simply that, since Humeanism was true, there had to be some solution. Abandonment; failure; avoidance: we Humeans need to do better. -/- In this paper, I present what I take to be the best account of quantities, tailoring it where needed to meet Humean demands as well as my own prior commitment to quidditism, and my own comparativist inclinations. In short: determinables, not determinates, are the fundamental properties, and freely recombine; determinates arise from the instantiation of determinables in an enhanced world structure; determinate quantities may be local (in a sense to be explained), but they are not intrinsic. Is the account I end up with Humean? Not, unfortunately, as it stands: the problem of exclusion still rears its ugly head. After dismissing a failed attempt at a solution, I consider in the final section the two viable Humean options. One attributes the source of the necessary exclusions to conventional definition, the other attributes it to logic. The first is safe and familiar, but not a response I can accept given my other commitments. The second is more radical and less familiar; but I am convinced it is on the right track. I don’t have space to develop it much here, but I put it out for future research. (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.

This is a comprehensive discussion of determinables, determinates, and their relation ('determination', for short), covering the historical development of these notions, the theoretical options for understanding them, and certain of their contemporary applications.

Here I compare two accounts of metaphysical indeterminacy (MI): first, the 'meta-level' approach described by Elizabeth Barnes and Ross Cameron in the companion to this paper, on which every state of affairs (SOA) is itself precise/determinate, and MI is a matter of its being indeterminate which determinate SOA obtains; second, my preferred 'object-level' determinable-based approach, on which MI is a matter of its being determinate---or just plain true---that an indeterminate SOA obtains, where an indeterminate SOA is one whose constitutive object (...) has a determinable property, but no unique determinate of that determinable. In S1, I first note an important difference between our accounts, concerning whether MI is taken to induce propositional indeterminacy; in S2, I highlight and defend certain advantages of my account; in S3, I address certain of Barnes and Cameron's objections to my account. (shrink)

ABSTRACTThis paper presents a view of quantities as ‘adverbial’ entities of a certain kind—more specifically, determinate ways, or modes, of having length, mass, speed, and the like. In doing so, it will be argued that quantities as such should be distinguished from quantitative properties or relations, and are not universals but are particulars, although they are not objects, either. A main advantage of the adverbial view over its rivals will be found in its superior explanatory power with respect to both (...) certain fundamental principles of quantity and ordinary quantitative reasoning involving quantitative relations like three times as long as and 2 metres longer than. (shrink)

Grounding, understood as a primitive posit operative in contexts where metaphysical dependence is at issue, is not able on its own to do any substantive work in characterizing or illuminating metaphysical dependence---or so I argue in 'No Work for a Theory of Grounding' (Inquiry, 2014). Such illumination rather requires appeal to specific metaphysical relations---type or token identity, functional realization, the determinable-determinate relation, the mereological part-whole relation, and so on---of the sort typically at issue in these contexts. In that case, why (...) posit 'big-G' Grounding in addition to the 'small-g' grounding relations already in the metaphysician's toolkit? The best reasons for doing so stem from the Unity argument, according to which the further posit of Grounding is motivated as an apt unifier of the specific relations, and the Priority argument, according to which Grounding is needed in order to fix the direction of priority of the specific relations. I previously considered versions of these arguments, and argued that they did not succeed; in two papers, however, Jonathan Schaffer aims to develop a better version of the Unity argument, and offers certain objections to my reasons for rejecting the Priority argument. Here I consider these new arguments for Grounding. (shrink)

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)

In this paper I aim to answer two questions: Can spin be treated as a determinable? Can a treatment of spin as a determinable be used to understand quantum indeterminacy? In response to the first question I show that the relations among spin number, spin components and spin values cannot be captured by a single determination relation; instead we need to look at spin number and spin value separately. In response to the second question I discuss three ways in which (...) the determinables model might be modified to account for indeterminacy, and argue that none of them is fully successful in helping us to understand quantum indeterminacy. (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)

Do determinable properties such as colour, mass, and height exist in addition to their corresponding determinates, being red, having a mass of 1 kilogram, and having a height of 2 metres? Optimists say yes, pessimists say no. Among the latter are Carl Gillett and Bradley Rives who argue that optimism leads to systematic overdetermination of causal powers and hence should be rejected on the grounds that the position is ontologically unparsimonious. In this paper I defend optimism against this charge by (...) showing that overdetermination of causal powers cannot plausibly be avoided when grounding what I call joint powers. It is therefore not clear why the optimist should be worried about the overdetermination of causal powers that follows from positing determinable properties. (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)

Twenty years ago Stephen Yablo developed his original theory of mental causation, which has drawn much attention ever since. By providing a detailed reconstruction of Yablo’s approach, this paper first demonstrates that a certain line of critique that has repeatedly been brought forward against Yablo over the last two decades misconstrues the core idea of the model. At the same time, the reconstruction reveals that Yablo’s approach is probably the first explicit version of the “new compatibilism” within the philosophy of (...) mind. This fairly young family of theories essentially claims a non-identity as well as a non-distinctness of mental and physical phenomena. The second part of the paper then demonstrates that the new compatibilist approaches in general, and Yablo’s theory in particular, even though they can resist much of the popular criticism, fall prey to a new theoretical trilemma once the nature of the respective analysantia is made explicit. Finally, a model of the psychophysical relation is developed that may allow the new compatibilists to escape the mentioned trilemma. (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)

ABSTRACT Many phenomena appear to be indeterminate, including material macro-object boundaries and certain open future claims. Here I provide an account of indeterminacy in metaphysical, rather than semantic or epistemic, terms. Previous accounts of metaphysical indeterminacy have typically taken this to involve its being indeterminate which of various determinate states of affairs obtain. On my alternative account, MI involves its being determinate that an indeterminate state of affairs obtains. I more specifically suggest that MI involves an object's having a determinable (...) property, but not having any unique determinate of that determinable. I motivate the needed extension of the traditional understanding of determinables, then argue that a determinable-based account of MI accommodates, in illuminating fashion, both ‘glutty’ and ‘gappy’ cases of MI, while satisfactorily treating concerns about MI stemming from Evans’ argument and the problem of the many. (shrink)

The focus of this commentary is what Andy Clark takes to be the most groundbreaking of the philosophical import of the ‘bidirectional hierarchical model of brain functions’, namely, the claim that perceptual representations represent probabilities. This is what makes his account Bayesian and this is a philosophical or theoretical conclusion that neuroscientists and psychologists are also quick and happy to draw. My claim is that nothing in the ‘bidirectional hierarchical models of brain functions’ implies that perceptual representations are probabilistic, or (...) that they represent or ‘encode probability density distributions’. There is a much more parsimonious way of describing the representations in the bidirectional hierarchical model of brain functions: they attribute properties to objects (or to the perceived scene) that are not fully determinate. (shrink)

Contemporary philosophers commonly suppose that any fundamental entities there may be are maximally determinate. More generally, they commonly suppose that, whether or not there are fundamental entities, any determinable entities there may be are grounded in, hence less fundamental than, more determinate entities. So, for example, Armstrong takes the physical objects constituting the presumed fundamental base to be “determinate in all respects” (1961, 59), and Lewis takes the properties characterizing things “completely and without redundancy” to be “highly specific” (1986, 60). (...) Here I look at the usually cited reasons for these suppositions as directed against the case of determinable properties, in particular, and argue that none is compelling (Sections 1 to 3). The discussion in Section 3 moreover identifies positive reason for taking some determinable properties to be part of a fundamental (or relatively fundamental) base. I close (Section 4) by noting certain questions arising from the possibility of fundamental determinables, as directions for future research. (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)

Consider the beginningless sequence: ... being less than 0.01 grams, being less than 0.1 grams, being less than 1 gram, being less than 10 grams ... There is no super-determinate in this chain. Just as the possibility of bottomless constitution shows that there may be no fundamental layer of reality with respect to objects , the possibility of bottomless determination shows that there may be no fundamental level of reality with respect to properties . This possibility supports Stephen Yablo's proportionality (...) principle that the cause of an event is the most specific property that makes a difference. (shrink)

Several philosophers (e.g., Ehring (Nous (Detroit, Mich.) 30:461–480, 1996 ); Funkhouser (Nous (Detroit, Mich.) 40:548–569, 2006 ); Walter (Canadian Journal of Philosophy 37:217–244, 2007 ) have argued that there are metaphysical differences between the determinable-determinate relation and the realization relation between mental and physical properties. Others have challenged this claim (e.g., Wilson (Philosophical Studies, 2009 ). In this paper, I argue that there are indeed such differences and propose a “mechanistic” account of realization that elucidates why these differences hold. This (...) account of realization incorporates two distinct roles that mechanisms play in the realization of mental (and other special science) properties which are implicit, but undeveloped, in the literature—what I call “constitutive” and “integrative” mechanisms. I then use these two notions of mechanism to clarify some debates about the relations between realization, multiple realizability, and irreducibility. (shrink)

Niels Bohr gave us the model of the atom as having a central nucleus around which electrons were circulating in stable orbits. He also gave us the complementarity principle that states that the mutually exclusive wave and corpuscular nature of light were not merely contradictory but complementary descriptions. Field theory considers light as a continuous wave phenomenon with a wavelength and frequency, while quantum theory considers its corpuscular nature as a discrete packet of energy called a photon. Thus we actually (...) have an opposition of a continuous-discontinuous description concerning the fundamental nature of light. In line with what we have been discussing about the nature of reality as having an intrinsic polar nature, we have yet another confirmation at even the atomic level of investigation. This harks back to Kant’s “Critique of Pure Reason” where in his second antinomy he tried to show that the continuous and discontinuous descriptions of the cosmos were both possible although they were mutually exclusive of each other. Kant tried to demonstrate that this was a limitation of the way we think about the world, i.e. a defect of reason since the world is obviously content to go on as a single reality regardless of how we understand it. But we are showing here that our understanding of the world does not have to be antagonistic to it if we understand it properly. For Kant, opposites merely exclude one another. We are claiming that not only do they exclude each other but also they depend upon each other for either to exist at all. (shrink)

I endeavor to show that Descartes’ attribute-mode distinction cannot be characterized in terms of the determinable-determinate relation. I identify the latter’s formal and modal properties in order to determine whether the former shares them, which ultimately shows distinctness. I then indicate which property accounts for the differences. I conclude that the relation that unites modes under an attribute is weaker than that which groups determinates under some determinable, respectively, the relations of inherence and incompatibility.

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)

How can mental properties bring about physical effects, as they seem to do, given that the physical realizers of the mental goings-on are already sufficient to cause these effects? This question gives rise to the problem of mental causation (MC) and its associated threats of causal overdetermination, mental causal exclusion, and mental causal irrelevance. Some (e.g., Cynthia and Graham Macdonald, and Stephen Yablo) have suggested that understanding mental-physical realization in terms of the determinable/determinate relation (henceforth, 'determination') provides the key to (...) solving the problem of MC: if mental properties are determinables of their physical realizers, then (since determinables and determinates are distinct, yet don't causally compete) all three threats may be avoided. Not everyone agrees that determination can do this good work, however. Some (e.g., Douglas Ehring, Eric Funkhauser, and Sven Walter) object that mental-physical realization can't be determination, since such realization lacks one or other characteristic feature of determination. I argue that on a proper understanding of the features of determination key to solving the problem of MC these arguments can be resisted. (shrink)

Stephen Yablo offers a solution to the problem of mental causation by claiming that the physical is a determinate of the mental's determinable, and therefore the mental and physical do not compete for causal relevance. I present Yablo's solution and argue that the mental‐physical relation cannot meet three necessary conditions for determination. That relation fails to meet the requirements that determinates of the same determinable be incompatible and that no property can be a determinate of more than one determinable. Further, (...) the mental and physical do not fall under the same series of scope inclusions as determinables and their determinates must. Yablo's conception of determination might be rendered more general to avoid these objections, but doing so would prevent it from functioning as a competitor to extant theories of the mental‐physical relation. Thus, Yablo's solution to the problem of mental causation cannot be both adequately specific and correct. (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)

Everything red is colored, and all squares are polygons. A square is distinguished from other polygons by being four-sided, equilateral, and equiangular. What distinguishes red things from other colored things? This has been understood as a conceptual rather than scientific question. Theories of wavelengths and reflectance and sensory processing are not considered. Given just our ordinary understanding of color, it seems that what differentiates red from other colors is only redness itself. The Cambridge logician W. E. Johnson introduced the terms (...) determinate and determinable to apply to examples such as red and colored. Chapter XI, of Johnson's Logic, Part I (1921), “The Determinate and the Determinable,” is the main text for discussion of this distinction. (shrink)

What is it for a picture to be more realistic, or more depictive, than another? Without committing to any thesis as to what depiction consists in, I show that degrees of depictiveness are grounded in a certain relation between two basic kinds of differences between pictures: configurational differences and content differences. A picture is thus more depictive just in case it is seen as having fewer nondepictive features, whereas a nondepictive feature is individuated through the susceptibility of the picture's configuration (...) to change without entailing any change in the picture's content. (shrink)

This is a comment on J. A. Barrett's article 'The Preferred-Basis Problem and the Quantum Mechanics of Everything' ([2005]), which concerns theories postulating that certain quantum observables have determinate values, corresponding to additional (often called 'hidden') variables. I point out that it is far from clear, for most observables, what such a postulate is supposed to mean, unless the postulated additional variable is related to a clear ontology in space-time, such as particle world lines, string world sheets, or fields.