Theoria, Volume 87, Issue 5, Page 1322-1341, October 2021.

‘Fred must open the door’ concerns Fred’s obligations. This obligative meaning is turned off by adding aspect: ‘Fred must have opened/be opening/have been opening the door’ are one and all epistemic. Why? In a nutshell: obligative ’must’ operates on procedural contents of imperative sentences, epistemic ‘must’ on propositional contents of declarative sentences; and adding aspect converts procedural into propositional content.

Philosophy and Phenomenological Research, EarlyView.

It is widely held, even among nonnaturalists, that the moral supervenes on the natural. This is to say that for any two metaphysically possible worlds w and w′, and for any entities x in w and y in w′, any isomorphism between x and y that preserves the natural properties preserves the moral properties. In this paper, I put forward a conceivability argument against moral supervenience, assuming non-naturalism. First, I argue that though utilitarianism may be true, and the trolley driver (...) is permitted to kill the one to save the five, there is a conceivable scenario that is just like our world in all natural respects, yet at which deontology is true, and the trolly driver is not permitted to kill the one to save the five. I then argue that in the special case of morality, it is possible to infer from the conceivability of such a scenario to its possibility. It follows that supervenience is false. (shrink)

Alice has insomnia. She has trouble falling asleep and part of the problem is that she worries about it and realizes that her worrying about it tends to keep from falling asleep. It occurs to her that thinking that she will not be able to fall asleep may be a kind of self-fulfilling prophecy. Perhaps she even has a thought that might be expressed like this: I am not going to fall asleep because of my having this very thought. This (...) thought attributes to itself the property of keeping her awake. (shrink)

On one view of time past, present and future things exist, but their being past, present or future does not consist in their standing in before‐ and after‐relations to other things. So, for example, the event of the signing of the Magna Carta is past, and its being so does not consist in, or reduce to, its coming before the events of 2010.In this paper I discuss arguments for and against this view and view in its near vicinity, perspectival realism. (...) I suggest that perspectival realism is a better view than tense realism. It shares the principal virtues, but not the principal vices, of tense realism. (shrink)

In this paper, I argue, contra Perry, that the existence of locating beliefs does not require the abandonment of the analysis of belief as a relation between subjects and propositions. I argue that what the "problem of the essential indexical" reveals is that a complete explanation of behaviour requires both an explanation of the type of behaviour the agent engaged in and an explanation of why she engaged in it in the circumstances that she did. And I develop an account (...) of belief which encompasses both explanatory roles and which still treats belief as a two-place relation between subjects and propositions. (shrink)

In this paper, I develop an algorithmic impossible-worlds model of belief and knowledge that provides a middle ground between models that entail that everyone is logically omniscient and those that are compatible with even the most egregious kinds of logical incompetence. In outline, the model entails that an agent believes (knows) φ just in case she can easily (and correctly) compute that φ is true and thus has the capacity to make her actions depend on whether φ. The model thereby (...) captures the standard view that belief and knowledge ground are constitutively connected to dispositions to act. As I explain, the model improves upon standard algorithmic models developed by Parikh, Halpern, Moses, Vardi, and Duc, among other ways, by integrating them into an impossible-worlds framework. The model also avoids some important disadvantages of recent candidate middle-ground models based on dynamic epistemic logic or step logic, and it can subsume their most important advantages. (shrink)

In this paper I compare my account of IEM to another one, the Simple View, according to which a judgment is IEM just in case its grounds do not include an identity. The Simple View does not say why no identity assumption is needed to ground the singular judgment in the IEM cases; my account is meant to complement it by providing an answer to that question. According to my account, the judgments that are IEM are based on a certain (...) experience, and what they are about is pre-determined by the mode of that experience, by the type of experience it is, in a way that leaves no room for an alternative. (shrink)

A first-person proposition is a proposition that only a single subject can assert or believe. When I assert ‘I am on fire’ I assert a first-person proposition that only I have access to, in the sense that no one else can assert or believe this proposition. This is in contrast to third-person propositions, which can be asserted or believed by anyone.

In this short, clear and engaging book, Neil Feit defends the unorthodox view that the contents of beliefs and other cognitive attitudes are properties, and not, as is usually held, propositions. The core of his argument has to do with de se beliefs, beliefs about the self. Based on examples and arguments due to Perry , Lewis and Chisholm , along with considerations about internalism and physicalism, Feit offers a battery of arguments for the conclusion that the contents of de (...) se beliefs cannot be propositions and therefore must be properties. For reasons of uniformity and simplicity Feit then extends this conclusion to all beliefs. So, according to Feit, the content of the de se belief that I am a philosopher is the property of being a philosopher, and my having this belief consists in my self-ascribing this property. For de dicto beliefs, believing that p is self-ascribing the property of being such that p, and for de re beliefs, believing that x is F is self-ascribing the property of bearing some relation of acquaintance R to something that is F. For example, to have the de dicto belief that …. (shrink)

In the Sleeping Beauty problem, Beauty is woken once if a coin lands heads or twice if the coin lands tails but promptly forgets each waking on returning to sleep. Philosophers have divided over whether her waking credence in heads should be a half or a third. Beauty has centered beliefs about her world and about her location in that world. When given new information about her location she should update her worldly beliefs before updating her locative beliefs. When she (...) conditionalizes in this way, her credence in heads is a half before and after being told it is Monday. In applications of Dutch Book arguments to the Sleeping Beauty problem, the probability of a particular outcome has often been confounded with consequences of that outcome. Heads and tails are equally likely but twice as much is at stake if the coin falls tails because Beauty is fated to make the same choice twice. As a consequence, the possibility of tails should be given twice the weight of the possibility of heads when deciding whether to bet on heads even though heads and tails are equally likely. (shrink)

Recent descendants of David Lewis, such as Stephen Torre, Dilip Ninan, and Dirk Kindermann have utilized multi-centered propositions, which are roughly sets of possible worlds centered on a sequence of individuals, to characterize the content of attitudes. In an attempt to explain counterfactual attitudes such as wishing and imagining, Ninan (2012, 2013) developed a more fine-grained characterization of multi-centered propositions than others in the multi-centered camp. While Ninan provides a systematic explanation of the nature of de se attitudes (attitudes one (...) expresses with first-person pronouns like ‘I’ or ‘me’), the nature of other types of indexical attitudes (attitudes one expresses with indexical terms like ‘you,’ ‘today,’ ‘now,’) is not explored. This paper does two things. First, it demonstrates how we can account for indexical attitudes within Ninan’s framework. This, however, has the consequence of generating propositions of limited accessibility of sorts, which in turn conflict with a received and simple model of linguistic communication. According to this simple model, successful communication consists of the transmission of mental content from speaker to hearer. Second, in light of this conflict, the paper proposes an adjustment to Ninan’s theory in order to avoid commitment to propositions of limited accessibility, and thus preserve the shareability of attitudinal content from speaker to hearer. (shrink)

It has recently been proposed that the framework of semantic relativism be put to use to describe mental content, as deployed in some of the fundamental operations of the mind. This programme has inspired in particular a novel strategy of accounting for the essential egocentricity of first-personal or de se thoughts in relativist terms, with the advantage of dispensing with a notion of self-representation. This paper is a critical discussion of this strategy. While it is based on a plausible appeal (...) to cognitive economy, the relativist theory does not fully account for the epistemic profile that distinguishes de se thinking, as some of its proponents hope to do. A deeper worry concerns the reliance of the theory on a primitive notion of “centre” that hasn’t yet received enough critical attention, and is ambiguous between a thin and a rich reading. I argue that while the rich reading is required if the relativist analysis of the de se is to achieve its most ambitious aims, it also deprives the theory of much of its explanatory power. (shrink)

The indexical word “I” has traditionally been assumed to be an overt analogue to the concept of self, and the best model for understanding it. This approach, I argue, overlooks the essential role of cognitive phenomenology in the mastery of the concept of self. I suggest that a better model is to be found in a different kind of representation: phenomenal concepts or more generally phenomenally grounded concepts. I start with what I take to be the defining feature of the (...) concept of self, namely its “super-reflexivity”: to use this concept is not just to think of oneself, but to think of oneself as the thinker of the present thought. I call this familiar observation the “Thinker Intuition”. I review some shortcomings of the indexical model of the concept of self, which is the classical account of the Thinker Intuition. I go on to propose a different account, the “phenomenal model”, according to which the concept of self is a phenomenally grounded concept, anchored in a generic kind of cognitive phenomenolog... (shrink)

The paper discusses an objection, put forward by - among others - John McDowell, to Kripke’s Wittgenstein’s non-factualist and relativist view of semantic discourse. The objection goes roughly as follows: while it is usually possible to be a relativist about a given domain of discourse without being a relativist about anything else, relativism about semantic discourse entails global relativism, which in turn entails subjective idealism, which we can reasonably assume to be false. The paper’s first section sketches Kripke’s Wittgenstein’s ideas (...) about semantic discourse and gives a fully explicit formulation of the objection. The second section describes and briefly discusses the formal apparatus needed to evaluate the objection - which is basically equivalent to John MacFarlane’s recent development of David Kaplan’s classic semantic framework. Finally, the third section explains in detail why the objection fails. I show that even though relativism about semantic discourse does entail a form of global relativism, the relativism in question does not entail anything like Berkeleyan or Fichtean idealism. This particular kind of relativism holds that which character (in Kaplan’s sense) is associated to a given utterance depends on what MacFarlane calls “the context of assessment”. (shrink)

Most contemporary philosophical discussions of intentionality start and end with a treatment of the propositional attitudes. In fact, many theorists hold that all attitudes are propositional attitudes. Our folk-psychological ascriptions suggest, however, that there are non-propositional attitudes: I like Sally, my brother fears snakes, everyone loves my grandmother, and Rush Limbaugh hates Obama. I argue that things are as they appear: there are non-propositional attitudes. More specifically, I argue that there are attitudes that relate individuals to non-propositional objects and do (...) so not in virtue of relating them to propositions. I reach this conclusion by not only showing that attempted analyses of apparently non-propositional attitudes in terms of the propositional fail, but that some non-propositional attitudes don’t even supervene on propositional attitudes. If this is correct, then the common discussions of intentionality that address only propositional attitudes are incomplete and those who hold that all intentional states are propositional are mistaken. (shrink)

Intentionality, or the power of minds to be about, to represent, or to stand for things, remains central in the philosophy of mind. But the study of intentionality in the analytic tradition has been dominated by discussions of propositional attitudes such as belief, desire, and visual perception. There are, however, intentional states that aren't obviously propositional attitudes. For example, Indiana Jones fears snakes, Antony loves Cleopatra, and Jane hates the monster under her bed. The present paper explores such mental states (...) in an introductory but opinionated way. (shrink)

Propositionalists hold that, fundamentally, all attitudes are propositional attitudes. A number of philosophers have recently called the propositionalist thesis into question. It has been argued, successfully I believe, that there are attitudes that are of or about things but which do not have a propositional content concerning those things. If correct, our theories of mind will include non-propositional attitudes as well as propositional attitudes. In light of this, Sinhababu’s recent attack on anti-propositionalists is noteworthy. The present paper aims to sharpen (...) his worries and show that they fail for a range of reasons. Besides merely offering a reply, considering his challenges provides an opportunity to add clarity to this emerging area of research and it allows one to strengthen the case against propositionalism more generally. (shrink)

This paper offers a positive account of an important but under-explored class of mental states, non-propositional attitudes such as loving one’s department, liking lattice structures, fearing Freddy Krueger, and hating Sherlock Holmes. In broadest terms, the view reached is a representationalist account guided by two puzzles. The proposal allows one to say in an elegant way what differentiates a propositional attitude from an attitude merely about a proposition. The proposal also allows one to offer a unified account of the non-propositional (...) attitudes that captures both empty and non-empty cases by properly locating the posited representations in the metaphysical structure of the attitudes. (shrink)

Difficulties over probability have often been considered fatal to the Everett interpretation of quantum mechanics. Here I argue that the Everettian can have everything she needs from `probability' without recourse to indeterminism, ignorance, primitive identity over time or subjective uncertainty: all she needs is a particular *rationality principle*. The decision-theoretic approach recently developed by Deutsch and Wallace claims to provide just such a principle. But, according to Wallace, decision theory is itself applicable only if the correct attitude to a future (...) Everettian measurement outcome is subjective uncertainty. I argue that subjective uncertainty is not to be had, but I offer an alternative interpretation that enables the Everettian to live without uncertainty: we can justify Everettian decision theory on the basis that an Everettian should *care about* all her future branches. The probabilities appearing in the decision-theoretic representation theorem can then be interpreted as the degrees to which the rational agent cares about each future branch. This reinterpretation, however, reduces the intuitive plausibility of one of the Deutsch -Wallace axioms. (shrink)

An important objection to preference-satisfaction theories of well-being is that these theories cannot make sense of interpersonal comparisons of well-being. A tradition dating back to Harsanyi () attempts to respond to this objection by appeal to so-called extended preferences: very roughly, preferences over situations whose description includes agents’ preferences. This paper examines the prospects for defending the preference-satisfaction theory via this extended preferences program. We argue that making conceptual sense of extended preferences is less problematic than others have supposed, but (...) that even so extended preferences do not provide a promising way for the preference satisfaction theorist to make interpersonal well-being comparisons. Our main objection takes the form of a trilemma: depending on how the theory based on extended preferences is developed, either the result will be inconsistent with ordinary preference-satisfaction theory, or it will fail to recover sufficiently rich interpersonal well-being comparisons, or it will take on a number of other arguably odd and undesirable commitments. (shrink)

What is it for a picture to depict a scene? The most orthodox philosophical theory of pictorial representation holds that depiction is grounded in resemblance. A picture represents a scene in virtue of being similar to that scene in certain ways. This essay presents evidence against this claim: curvilinear perspective is one common style of depiction in which successful pictorial representation depends as much on a picture's systematic differences with the scene depicted as on the similarities; it cannot be analyzed (...) in terms of similarity alone. The same problem arises for many other kinds of depiction. The essay concludes that depiction in general is not grounded in resemblance but geometrical transformation. (shrink)

Among the virtues of relationist approaches to Frege’s puzzle is that they put us in a position to outline structural features of the puzzle that were only implicit in earlier work. In particular, they allow us to frame questions about the relation between the explanatory roles of sense and sameness of sense. In this paper, I distinguish a number of positions about that relation which have not been clearly distinguished. This has a few pay-offs. It allows us to shed light (...) on recent controversies about the ‘essential indexical’, and it also allows us to see what’s at stake between relationists and their opponents. When we see what’s at stake, we can see that we have reason to adopt an account of cognitive significance that incorporates elements of both relationist and Fregean approaches. (shrink)

We offer a general framework for theorizing about the structure of knowledge and belief in terms of the comparative normality of situations compatible with one’s evidence. The guiding idea is that, if a possibility is sufficiently less normal than one’s actual situation, then one can know that that possibility does not obtain. This explains how people can have inductive knowledge that goes beyond what is strictly entailed by their evidence. We motivate the framework by showing how it illuminates knowledge about (...) the future, knowledge of lawful regularities, knowledge about parameters measured using imperfect instruments, the connection between knowledge, belief, and probability, and the dynamics of knowledge and belief in response to new evidence. (shrink)

This paper has a narrow and a broader target. The narrow target is a particular version of what I call the mental-files conception of singular thought, proposed by Robin Jeshion, and known as cognitivism. The broader target is the MFC in general. I give an argument against Jeshion's view, which gives us preliminary reason to reject the MFC more broadly. I argue Jeshion's theory of singular thought should be rejected because the central connection she makes between significance and singularity does (...) not hold. However, my argument grants Jeshion's claim that there is a connection between significance and file-thinking. The upshot is not only that we have reason to reject Jeshion's significance constraint on singular thought, but that we have reason to question the connection made by MFC proponents between file-thinking and singularity. (shrink)

I develop a puzzle, the resolution of which, I argue, requires an unfamiliar distinction between two forms or senses of metaphysical modality, each bearing a different relationship to time. In one sense of ‘metaphysically possible’, it is metaphysically possible for it to be a time other than the time it is now; in another sense, this is not metaphysically possible.

Cappelen and Dever have recently defended the view that indexicals are not essential: They do not signify anything philosophically deep and we do not need indexicals for any important philosophical work. This paper contests their view from the point of view of an account of intentional agency. It argues that we need indexicals essentially when accounting for what it is do something intentionally and, as a consequence, intentional action, and defends a view of intentional action as a possible conclusion of (...) practical reasoning where the indexical is essential for the content of such a conclusion. (shrink)

This note documents Aumann's reason for omitting the “empty shells” argument for the common prior assumption from the final version of “Correlated Equilibrium as an Expression of Bayesian Rationality.” It then continues to discuss the argument and concludes that rational entities cannot learn their own identity; if they do not know it a priori, they never will.

Tyler Burge has recently argued that quasi-memory-based psychological reductionist accounts of diachronic personal identity are deeply problematic. According to Burge, these accounts either fail to include appropriately de se elements or presuppose facts about diachronic personal identity—facts of the very kind that the accounts are supposed to explain. Neither of these objections is compelling. The first is based in confusion about the version of reductionism to which it putatively applies. The second loses its force when we recognize that reductionism is (...) a metaphysical thesis, not an epistemological one. (shrink)

My aim in this paper is to show that consciousness entails self-consciousness by focusing on the relationship between consciousness and memory. More specifically, I addreess the following questions: (1) does consciousness require episodic memory?; and (2) does episodic memory require self-consciousness? With the aid of some Kantian considerations and recent empirical data, it is argued that consciousness does require episodic memory. This is done after defining episodic memory and distinguishing it from other types of memory. An affirmative answer to (2) (...) is also warranted especially in the light of the issues raised in answering (1). I claim that 'consciousness entails self-consciousness' is thereby shown via the route through episodic memory, i.e. via affirmative answers to (1) and (2). My aim is to revive this Kantian thesis and to bring together current psychological research on amnesia with traditional philosophical perspectives on consciousness and memory. (shrink)

Various psychopathologies of self-awareness, such as somatoparaphrenia and thought insertion in schizophrenia, might seem to threaten the viability of the higher-order thought (HOT) theory of consciousness since it requires a HOT about one’s own mental state to accompany every conscious state. The HOT theory of consciousness says that what makes a mental state a conscious mental state is that there is a HOT to the effect that “I am in mental state M.” I have argued in previous work that a (...) HOT theorist can adequately respond to this concern with respect to somatoparaphrenia and thought insertion. There is also Cotard syndrome which is a rare neuropsychiatric disorder in which people hold the delusional belief that they are dead, do not exist, or have lost their blood or internal organs. In this paper, I argue that HOT theory has nothing to fear from it either and can consistently account for what happens in such unusual cases. I analyze Cotard syndrome in light of my previous discussion of somatoparaphrenia and thought insertion, and argue that HOT theory can provide a somewhat analogous account without the worry of inconsistency. It is crucial to recognize that there are multiple “self-concepts” and levels of HOTs which can help to provide a more nuanced explanation. With regard to the connection between consciousness and self-consciousness, it is proposed that Cotard patients are indeed capable of having some “I-thoughts” about their bodies and mental states. (shrink)

Recanati’s (2007, 2009) argues for a Lewisian subjectless view of the content of “implicit” de se thought, on the basis that we can thus better explain the phenomenon of immunity to error through misidentification. The paper argues that this is not the case, and suggests that such a view is in tension with Recanati’s mental files approach to de re thought in general and the SELF concept in particular.

Inspired by Castañeda, Perry and Lewis argued that, among singular thoughts in general, thoughts about oneself ‘as oneself’ – first-personal thoughts, which Lewis aptly called de se – call for special treatment: we need to abandon one of two traditional assumptions on the contents needed to provide rationalizing explanations, their shareability or their absoluteness. Their arguments have been very influential; one might take them as establishing a new ‘effect’ – new philosophical evidence in need of being accounted for. This is (...) questioned by the skeptical arguments in recent work by Cappelen & Dever and Magidor, along lines that a few discrepant voices had already announced earlier. Skeptics content that the evidence does not really call for revising traditional theories of content. I will discuss their challenges – first and foremost, concerning action explanations – aiming to make the case that the ‘De Se effect’ is no illusion: de se attitudes require us to revise one of the two tenets of traditional views. (shrink)

Principles of chance deference face two kinds of problems. In the first place, they face difficulties with a priori knowable contingencies. In the second place, they face difficulties in cases where you've lost track of the time. I provide a principle of chance deference which handles these problem cases. This principle has a surprising consequence for Adam Elga's Sleeping Beauty Puzzle.

It has frequently been observed that typical utterances of the form “I believe that P” are assertions of the embedded proposition P. Yet that the matrix clause “I believe that” should be semantically idle creates an interesting puzzle: linguistic orthodoxy holds that the utterance is an assertion about one’s doxastic state, not about the content of this state. In response to the puzzle, Tim Henning has recently proposed a new semantic theory, parentheticalism, according to which “S believes that P” expresses (...) P from S’s point of view: the at-issue content in belief ascriptions is the embedded proposition P. The puzzle is then claimed to be resolved as follows: as speaker and doxastic subject are identical in the first-person case, “I believe that P” expresses P from the speaker’s own point of view. In this paper, I argue, first, that parentheticalism is highly doubtful and, second, that even if parentheticalism were true, it would be unable to resolve the transparency puzzle. (shrink)

Kant’s theory of cognition centrally builds on his conception of self-consciousness and the transcendental use of the phrase “I think”: the ability to add the phrase “I think” to a representation is a necessary condition of the ability to cognize objects. The paper argues that “I think”, rather than denoting the content of a predicative judgement, is typically an expression of the subject’s thinking. It expresses a kind of self-consciousness that, without assertively representing the subject itself, indicates that representational contents (...) are unified in a single consciousness of a single subject. Our aim is thus to develop and defend an expressivist interpretation of Kant’s “I think”. (shrink)

Kant's theory of cognition centrally builds on his conception of self‐consciousness and the transcendental use of the phrase “I think”: the ability to add the phrase “I think” to a representation is a necessary condition of the ability to cognize objects. The paper argues that “I think”, rather than denoting the content of a predicative judgement, is typically an expression of the subject's thinking. It expresses a kind of self‐consciousness that, without assertively representing the subject itself, indicates that representational contents (...) are unified in a single consciousness of a single subject. Our aim is thus to develop and defend an expressivist interpretation of Kant's “I think”. (shrink)

The paper analyzes the nature and scope of Moore’s paradox, articulates the desiderata of a successful solution and claims that psychological expressivism best meets these desiderata. After a brief discussion of prominent responses to Moore’s paradox, the paper offers a solution based on a theory of expressive acts: a Moorean utterance is absurd because the speaker expresses mental states with conflicting contents in commissive versions of the paradox and conflicting states of mind in omissive versions. The paper presents a theory (...) of expressivism for self-ascriptions of mental states. In addition, it introduces the idea of expressive denegation—the speaker’s expressing the absence of a mental state—as an analysis of negative self-ascriptions of mental states. Some of the consequences of expressivism for avowals are explored. (shrink)

In the 1960s, a school formed in Heidelberg around Dieter Henrich that criticized—with reference to J. G. Fichte—the ‘reflection model’ of self-consciousness according to which self-consciousness consists in a representational relation between two mental states or the self-representation of a mental state. I present a new “Heidelberg perspective” of pre-reflective self-consciousness. According to this new approach, self-consciousness occurs in two varieties which regularly are not sufficiently distinguished: The first variety is egological self-consciousness that exists in connection with the use of (...) concepts. It consists in the consciousness of having an awareness of oneself as the Ego of a conscious state. The second variety is anonymous pre-reflective self-consciousness, which is awareness of consciousness but does not contain egological information. The pre-reflective self-consciousness does not exhibit a subject-object structure and thus cannot be appropriately determined as a representation, self-representation, or even acquaintance relation. Rather, anonymous self-consciousness is characterized by an indistinction of subject and object. However, pre-reflective self-consciousness is the basis of egological self-consciousness. (shrink)

The view that first-person (de se) mental content is essential to the explanation of action in general is a strong essential indexicality thesis. A weaker essential indexicality claim is that de se mental content is an essential ingredient of intentional action. An argument by Bermúdez for the former thesis and an argument from Babb in support of the latter are discussed in Section 2, and for reasons presented there it seems that both arguments are unsound and the conclusions are false (...) as well. However, the discussion of their arguments helps us identify a certain class of intentional action, and an apparently very large class, the members of which are guaranteed to have de se origin. This class of intentional action is identified in Sections 3 and 4 and it is shown that necessarily, any member of this class has its origin in indexical, specifically, de se mental content. (shrink)

ABSTRACTBy the Many Categories problem, I mean the prima facie violation of Ockham’s Razor by realists about universals: there is, it might seem, just too much variety. Thus, David Armstrong posits both properties and relations. He also theorises about determinates of determinables. Another influential realist, E. J. Lowe distinguishes non-substantial from substantial universals. Yet again, both Armstrong and Lowe include in their ontology abstract particulars in addition to universals. My aim in this paper is to offer a unification of these (...) categories using an operator-theory. First, I show how operators provide a theory of abstract particulars of relations and of impure relational properties. Then, using impure relational properties I derive the Fregeanion Principle. After some metaphysics of mathematics, I provide a theory of determinables. Finally, I consider kinds and substances. (shrink)