Determinates and Determinables

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)

The by now famous exclusion problem for mental causation admits only one possible solution, as far as I can see, namely: that mental and physical properties are linked by a vertical relation. In this paper, starting from what I take to be sensible premises about properties, I will be visiting some general relations between them, in order to see whether, first, it is true that some vertical relationship, other than identity, makes different sorts of causation compatible and second, whether physical (...) and mental properties can be pairs of such relationship. (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)

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)

I consider to what extent the phenomenon of interference precludes the possibility of attributing simultaneously determinate values to noncommuting observables, and I show that, while all observables can in principle be taken as simultaneously determinate, it suffices to take a suitable privileged observable as determinate to solve the measurement problem.

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)

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)

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)

I present, motivate, and defend a theory of properties. Its novel feature is that it takes entire determinables-together-with-their-determinates as its units of analysis. This, I argue, captures the relations of entailment and exclusion among properties, solves the problem of extensionality, and points the way towards an actualist analysis of modality.

Once the reality of properties is admitted, there are two fundamentally different realist theories of properties. Platonist or transcendent realism holds that properties are abstract objects in the classical sense, of being nonmental, nonspatial, and causally inefficacious. By contrast, Aristotelian or moderate realism takes properties to be literally instantiated in things. An apple’s color and shape are as real and physical as the apple itself. The most direct reason for taking an Aristotelian realist view of properties is that we perceive (...) them. We perceive an individual apple, but only as a certain shape, color, and weight, because it is those properties that confer on it the power to affect our senses. It is in virtue of being blue that a body reflects certain light and looks blue. Since “causality is the mark of being,” the properties that confer causal power are real. And that means a reality, not in a Platonic and acausal world of “abstract objects,” but in the ordinary concrete world in which we live. On an Aristotelian view, it is the business of science to determine which properties there are and to classify and understand the properties we perceive, and to find the laws connecting them. (shrink)

The properties colored and red stand in a special relation. Namely, red is a determinate of colored, and colored is determinable relative to red. Many other properties are similarly related. The determination relation is an interesting topic of logical investigation in its own right, and the prominent philosophical inquiries into this relation have, accordingly, operated at a high level of abstraction.1 It is time to return to these investigations, not just as a logical amusement, but for the payoffs such investigation (...) can yield in solving some basic metaphysical problems. The goal in what follows is twofold. First, I argue for a novel understanding of the determination relation. Second, this understanding is applied to yield insights into property instance (e.g., trope) individuation, how different property types can share an instance, the relation between property types and property instances, as well as applications to causation (mental causation, in particular). (shrink)

An electron clearly has the property of having a charge of þ1.6 10 19 coulombs, but does it also have the property of being charged ? Philosophers have worried whether so-called ‘determinable’ predicates, such as ‘is charged’, actually refer to determinable properties in the way they are happy to say that determinate predicates, such as ‘has a charge of þ1.6 10 19 coulombs’, refer to determinate properties. The distinction between determinates and determinables is itself fairly new, dating only to its (...) definition by the Cambridge logician W. E. Johnson early in the last century.1 But despite its newly minted condition the distinction has found little currency in on-going philosophical debates. Or at least until recently. Renewed interest in realist positions about properties, and arguments that the determinable-determinate relation may hold the key to understanding mental causation, have thrust Johnson’s distinction to the fore. With this new attention has also come new ‘optimistic’ positions that endorse the existence of determinable properties. David Armstrong, Evan Fales, and Sydney Shoemaker, among others, have all defended such optimistic accounts that take determinable predicates, such as ‘is charged’, to refer to determinable properties.2 In this paper, our goal is to carefully assess optimism and to argue that a pessimistic view, which rejects the existence of determinable properties, is actually the appropriate default position. (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.

The debate between emergentists and reductionists rests on the observation that in many situations, in which it seems desirable to work with a coherent and unified discourse, key predicates fall into different groups, such that pairs of members one taken from each group, cannot be co-predicated of some common subject. Must we settle for ‘island’ discourses in science and human affairs or is some route to a unified discourse still open? To make progress towards resolving the issue the conditions under (...) which such segregations of predicates seem inexorable must be brought out. The distinction between determinable and determinate properties throws light on some aspects of this problem. Bohr’s concept of complementarity, when combined with Gibson’s idea of an affordances as a special class of dispositional properties is helpful. Several seeming problems melt away, for example, how it is possible for a group of notes to become hearable as a melody. The mind-body problem and the viability of the project of reducing biology to chemistry and physics are two issues that are more difficult to deal with. Are mental phenomena, such as feelings and memories emergent from material systems or are they actually material properties themselves? Are the attributes of living beings emergent from certain accidental but long running collocations of chemical reactions, or are they nothing but chemical phenomena? If emergent, in what way are they distinctive from that from which they emerge? (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)

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.

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)

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)

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)

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)

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)

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)

A reconstruction of Johnson's main contributions to philosophy is provided. Johnson's theories are grounded on his distinction between "substantives" and "adjectives", which governs the oppositions between (1) particular and universal, (2) determinandum and determinans in thought, (3) acts of separation and discrimination, (4) subject and predicate, (5) thing and quality, (6) substance and determination, (7) proposition and fact, (8) external and internal relations, (9) extension and intension. While substantives divide between continuants and occurrents, adjectives are fundamentally distinguishable into determinables and (...) determinates. The immediate (Stout, Broad) and later (Prior, Carnap, Searle, Armstrong, Hautamäki and Johansson) reception of Johnson's distinction between determinables and determinates is also discussed. (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.

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)

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)

What is the relation between the concept good and more specific or ‘thick’ concepts such as admirable or courageous? I argue that good or more precisely good pro tanto is a general concept, but that the relation between good pro tanto and the more specific concepts is not that of a genus to its species. The relation of an important class of specific evaluative concepts, which I call ‘affective concepts’, to good pro tanto is better understood as one between a (...) determinable and its determinates, whereas concepts such as courageous can be analysed in terms of affective concepts and purely descriptive concepts. (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.

The by now famous exclusion problem for mental causation admits only one possible solution, as far as I can see, namely: that mental and physical properties are linked by a vertical relation. In this paper, starting from what I take to be sensible premises about properties, I will be visiting some general relations between them, in order to see whether, first, it is true that some vertical relation, other than identity, makes different sorts of causation compatible and second, whether physical (...) and mental properties can be pairs of such relation. (shrink)

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)

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)

Many phenomena appear to be indeterminate, including material macro-object boundaries, predicates or properties admitting of borderline cases, and certain open future claims. Here I provide an account of indeterminacy in metaphysical, rather than semantic or epistemic, terms. Previous such accounts have been "meta-level" accounts, taking metaphysical indeterminacy (MI) to involve its being indeterminate which of various determinate states of affairs obtain. On my alternative, "object-level" account, MI involves its being determinate (or just plain true) that an indeterminate (less than maximally (...) specific) SOA obtains. I more specifically suggest that MI involves an object's (i) having a determinable property, but (ii) 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 intuitive and intelligible fashion, indeterminacy in macro-object boundaries and the open future, while satisfactorily treating the usual concerns to accounts of MI stemming from Evans's argument and the problem of the many. (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)

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)

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)