Despite pervasive variation in the content of laws, legal theorists and anthropologists have argued that laws share certain abstract features and even speculated that law may be a human universal. In the present report, we evaluate this thesis through an experiment administered in 11 different countries. Are there cross‐cultural principles of law? In a between‐subjects design, participants (N = 3,054) were asked whether there could be laws that violate certain procedural principles (e.g., laws applied retrospectively or unintelligible laws), and also (...) whether there are any such laws. Confirming our preregistered prediction, people reported that such laws cannot exist, but also (paradoxically) that there are such laws. These results document cross‐culturally and –linguistically robust beliefs about the concept of law which defy people's grasp of how legal systems function in practice. (shrink)

Analytic philosophers have a tendency to forget that they are human beings, and one of the reasons that P. F. Strawson’s 1962 essay, “Freedom and Resentment”, has been so influential is that it promises to bring discussions of moral responsibility back down to earth. Strawson encouraged us to “keep before our minds...what it is actually like to be involved in ordinary interpersonal relationships”, which is, after all, the context in which questions about responsibility arise in the first place. In this (...) essay I explore what we can learn about ordinary interpersonal relationships from three works of literature – Shakespeare’s King Lear, Jane Austen’s Persuasion, and Graham Greene’s The End of the Affair. My intention is to try to heed Strawson’s advice without imposing upon the data any particular theoretical agenda, and my hope is that the data collected will prove useful for future theorizing about responsibility. (shrink)

There is a basic distinction, in the realm of spatial boundaries, between bona fide boundaries on the one hand, and fiat boundaries on the other. The former are just the physical boundaries of old. The latter are exemplified especially by boundaries induced through human demarcation, for example in the geographic domain. The classical problems connected with the notions of adjacency, contact, separation and division can be resolved in an intuitive way by recognizing this two-sorted ontology of boundaries. Bona fide boundaries (...) yield a notion of contact that is effectively modeled by classical topology; the analogue of contact involving fiat boundaries calls, however, for a different account, based on the intuition that fiat boundaries do not support the open/closed distinction on which classical topology is based. In the presence of this two-sorted ontology it then transpires that mereotopology—topology erected on a mereological basis—is more than a trivial formal variant of classical point-set topology. (shrink)

This chapter explores the concept of judgmentalism: what it is and why it’s morally problematic. After criticizing an account offered by Gary Watson, the paper argues for a broader understanding of what it is to be judgmental, encompassing not just the overall beliefs that we form about someone else, but also the very pattern of our thoughts about those with whom we are involved in interpersonal relationships. The thesis is that to care about someone is to be oriented toward them, (...) or to see them through a particular mental lens, in a way that produces a particular pattern of salience and silence. That is: caring about someone (at least ideally) has the effect of making some features of that person particularly salient, and silencing or screening off other features from one’s consciousness. One is aptly described as judgmental when one’s thoughts do not display this sort of pattern, indicating a failure to fully adopt the orientation that constitutes properly caring about the person. (shrink)

In this encyclopedia entry I sketch the way contemporary theorists understand moral responsibility -- its varieties, its requirements, and its puzzles.

Although it is widely accepted that hypocritical blamers lack the standing to blame others who have committed similar wrongs, an account of what it is that’s lost when someone loses their standing to blame remains elusive. When moral address is inappropriate because it is or would be hypocritical, what is the precise nature of the complaint that the blamed party is entitled to raise, and that so often gets voiced as “I don’t have to take that from you”? In this (...) paper I argue that extant answers to this question fall short, and I offer a novel account that takes seriously the thought that hypocrisy somehow silences the blame of the hypocrite. To make sense of this silencing effect, I argue that we need to look closely at the role that second-personal reasons play in moral address. (shrink)

In his classic essay, "The Dilemma of Determinism", William James argues that the truth of determinism would make regret irrational. Given the central role of regret in our moral lives, James concludes that determinism is false. In this paper I explore the attitude of regret and show that James's argument is mistaken. Not only can we rationally regret events that were determined to occur, but we can also rationally regret events that had to occur.

In this chapter I articulate the threat that time travel to the past allegedly poses to the free will of the time traveler, and I argue that on the traditional way of thinking about free will, the incompatibilist about time travel and free will wins the day. However, a residual worry about the incompatibilist view points the way toward a novel way of thinking about free will, one that I tentatively explore toward the end of the chapter.

We can see mereology as a theory of parthood and topology as a theory of wholeness. How can these be combined to obtain a unified theory of parts and wholes? This paper examines various non-equivalent ways of pursuing this task, with specific reference to its relevance to spatio-temporal reasoning. In particular, three main strategies are compared: (i) mereology and topology as two independent (though mutually related) chapters; (ii) mereology as a general theory subsuming topology; (iii) topology as a general theory (...) subsuming mereology. Some more speculative strategies and directions for further research are also considered. (shrink)

Common everyday materials such as textiles, foodstuffs, soil or skin can have complex, mutable and varied appearances. Under typical viewing conditions, most observers can visually recognize materials effortlessly, and determine many of their properties without touching them. Visual material perception raises many fascinating questions for vision researchers, neuroscientists and philosophers, yet has received little attention compared to the perception of color or shape. Here we discuss some of the challenges that material perception raises and argue that further philosophical thought should (...) be directed to how we see materials. (shrink)

There are conflicting intuitions concerning the status of a boundary separating two adjacent entities (or two parts of the same entity). The boundary cannot belong to both things, for adjacency excludes overlap; and it cannot belong to neither, for nothing lies between two adjacent things. Yet how can the dilemma be avoided without assigning the boundary to one thing or the other at random? Some philosophers regard this as a reductio of the very notion of a boundary, which should accordingly (...) be treated a mere façon de parler. In this paper I resist this temptation and examine some ways of taking the puzzle at face value within a realist perspective—treating boundaries as ontologically on a par with (albeit parasitic upon) extended parts. (shrink)

We submit this brief in support of the Nonhuman Rights Project’s efforts to secure habeas corpus relief for the elephant named Happy. The Supreme Court, Bronx County, declined to grant habeas corpus relief and order Happy’s transfer to an elephant sanctuary, relying, in part, on previous decisions that denied habeas relief for the NhRP’s chimpanzee clients, Kiko and Tommy. Those decisions use incompatible conceptions of ‘person’ which, when properly understood, are either philosophically inadequate or, in fact, compatible with Happy’s personhood.

In this article I argue that the value of epistemic justification cannot be adequately explained as being instrumental to truth. I intend to show that false belief, which is no means to truth, can nevertheless still be of epistemic value. This in turn will make a good prima facie case that justification is valuable for its own sake. If this is right, we will have also found reason to think that truth value monism is false: assuming that true belief does (...) have value, there is more of final epistemic value than mere true belief. (shrink)

One of the attractions of the Humean instrumentalist theory of practical rationality is that it appears to offer a special connection between an agent's reasons and her motivation. The assumption that Humeanism is able to assert a strong connection between reason and motivation has been challenged, most notably by Christine Korsgaard. She argues that Humeanism is not special in the connection it allows to motivation. On the contrary, Humean theories of practical rationality do connect reasons and motivation in a unique (...) and attractive way, though the nature of this connection has sometimes been misunderstood by both defenders and detractors of the theory. (shrink)

Neo-Humean instrumentalist theories of reasons for acting have been presented with a dilemma: either they are normatively trivial and, hence, inadequate as a normative theory or they covertly commit themselves to a noninstrumentalist normative principle. The claimed result is that no purely instrumentalist theory of reasons for acting can be normatively adequate. This dilemma dissolves when we understand what question neo-Humean instrumentalists are addressing. The dilemma presupposes that neo-Humeans are attempting to address the question of how to act, 'simpliciter'. Instead, (...) they are evaluating actions from the agent's normative perspective. (shrink)

A style of argument that calls into question our freedom (in the sense that involves freedom to do otherwise) has been around for millennia; it can be traced back to Origen. The argument-form makes use of the crucial idea that the past is over-and-done-with and thus fixed; we cannot now do anything about the distant past (or, for that matter, the recent past)—it is now too late. Peter van Inwagen has presented this argument (what he calls the Consequence Argument) in (...) perhaps its clearest and most forceful way, but debate over the argument has arguably reached a stalemate. -/- Recently, however, Wes Holliday has attempted to break this seeming stalemate by presenting a new argument for the Principle of the Fixity of the Past. Holliday’s argument is subtle and ingenious, and worthy of serious consideration, especially given the promise it holds for genuinely advancing this old debate. In what follows, however, we argue that despite its considerable ingenuity, Holliday’s argument fails to convince, and the stalemate appears to remain. (shrink)

Blame is fascinating yet elusive, and it is both of these things because it is so complex. It seems to have a cognitive aspect (the belief that someone has done wrong, perhaps), but it also seems to have an emotional aspect (resentment at being disrespected, perhaps). And then of course there is the outside-of-the-head aspect of blame, which manifests itself in rebukes and reprimands, accusations and distrust, cold shoulders and estrangement. Still, accounts of blame that identify it with beliefs or (...) emotions seem inadequate. In this paper I draw on the work of Harry Frankfurt to suggest an alternative account, according to which blame most centrally involves changes in the structure of the will. (shrink)

The standard treatment of conditional probability leaves conditional probability undefined when the conditioning proposition has zero probability. Nonetheless, some find the option of extending the scope of conditional probability to include zero-probability conditions attractive or even compelling. This article reviews some of the pitfalls associated with this move, and concludes that, for the most part, probabilities conditional on zero-probability propositions are more trouble than they are worth.

We rely on language to know the minds of others, but does language have a role to play in knowing our own minds? To suppose it does is to look for a connection between mastery of a language and the epistemic relation we bear to our inner lives. What could such a connection consist in? To explore this, I shall examine strategies for explaining self-knowledge in terms of the use we make of language to express and report our mental states. (...) Success in these strategies will depend on the view we take of speakers' understanding of the words they use to speak their minds. The key is to avoid circularity in the account of how they know what they mean; for if knowing what one is saying in speaking a language provides a means of knowing one's own mind, it cannot simply be a part of it. I shall look at ways in which we might proceed here, and examine whether the strategy can make room for a genuinely first-person point of view. But first let me try to motivate the problem of self-knowledge. (shrink)

I argue that the conjunction of perdurantism (the view that objects are temporally extended) and universalism (the thesis that any old class of things has a mereological fusion) gives rise to undesired complications when combined with certain plausible assumptions concerning the semantics of tensed statements.

Cognitive penetration of perception is the idea that what we see is influenced by such states as beliefs, expectations, and so on. A perceptual belief that results from cognitive penetration may be less justified than a nonpenetrated one. Inferentialism is a kind of internalist view that tries to account for this by claiming that some experiences are epistemically evaluable, on the basis of why the perceiver has that experience, and the familiar canons of good inference provide the appropriate standards by (...) which experiences are evaluated. I examine recent defenses of inferentialism by Susanna Siegel, Peter Markie, and Matthew McGrath and argue that the prospects for inferentialism are dim. (shrink)

Current challenges in medical practice, research, and administration demand physicians who are familiar with bioethics, health law, and health economics. Curriculum directors at American Association of Medical Colleges-affiliated medical schools were sent confidential surveys requesting the number of required hours of the above subjects and the years in which they were taught, as well as instructor names. The number of relevant publications since 1990 for each named instructor was assessed by a PubMed search.In sum, teaching in all three subjects combined (...) comprises less than two percent of the total hours in the American medical curriculum, and most instructors have not recently published articles in the fields they teach. This suggests that medical schools should reevaluate their curricula and instructors in bioethics, health law, and health economics. (shrink)

Literature in epistemology tends to suppose that there are three main types of understanding – propositional, atomistic, and objectual. By showing that all apparent instances of propositional understanding can be more plausibly explained as featuring one of several other epistemic states, this paper argues that talk of propositional understanding is unhelpful and misleading. The upshot is that epistemologists can do without the notion of propositional understanding.

Much of the intuitive appeal of evidentialism results from conflating two importantly different conceptions of evidence. This is most clear in the case of perceptual justification, where experience is able to provide evidence in one sense of the term, although not in the sense that the evidentialist requires. I argue this, in part, by relying on a reading of the Sellarsian dilemma that differs from the version standardly encountered in contemporary epistemology, one that is aimed initially at the epistemology of (...) introspection but which generalizes to theories of perceptual justification as well. (shrink)

A lot of work in metaphysics relies on linguistic analysis and intuitions. Do we want to know what sort of things there are or could be? Then let’s see what sort of things there must be in order for what we truthfully say to be true. Do we want to see whether x is distinct from y? Then let’s see whether there is any statement that is true of x but not of y. And so on. In this paper I (...) argue that this way of proceeding is full of traps and is bound to be pretty useless unless we already have a good idea of what sort of things there are, and of how we are going to count them. (shrink)

A critical review of the main themes arising out of recent literature on the semantics of ordinary event talk. The material is organized in four sections: (i) the nature of events, with emphasis on the opposition between events as particulars and events as universals; (ii) identity and indeterminacy, with emphasis on the unifier/multiplier controversy; (iii) events and logical form, with emphasis on Davidson’s treatment of the form of action sentences; (iv) linguistic applications, with emphasis on issues concerning aspectual phenomena, the (...) telicity/atelicity distinction, the treatment of statives, and temporal quantification. (shrink)

In this paper I argue that adopting a perdurance view of persistence through time does not lead to skepticism about moral responsibility, despite what many theorists have thought.

To what extent are cognitive capacities, especially perceptual capacities, informationally encapsulated and to what extent are they cognitively penetrable? And why does this matter? Two reasons we care about encapsulation/penetrability are: (a) encapsulation is sometimes held to be definitional of modularity, and (b) penetrability has epistemological implications independent of modularity. I argue that modularity does not require encapsulation; that modularity may have epistemological implications independently of encapsulation; and that the epistemological implications of the cognitive penetrability of perception are messier than (...) is sometimes thought. (shrink)

This is a revised and extended version of the formal theory of holes outlined in the Appendix to the book "Holes and Other Superficialities". The first part summarizes the basic framework (ontology, mereology, topology, morphology). The second part emphasizes its relevance to spatial reasoning and to the semantics of spatial prepositions in natural language. In particular, I discuss the semantics of ‘in’ and provide an account of such fallacious arguments as “There is a hole in the sheet. The sheet is (...) in the drawer. Ergo *there is a hole in the drawer”. (shrink)

Source incompatibilism is an increasingly popular version of incompatibilism about determinism and moral responsibility. However, many self-described source incompatibilists formulate the thesis differently, resulting in conceptual confusion that can obscure the relationship between source incompatibilism and other views in the neighborhood. In this paper I canvas various formulations of the thesis in the literature and argue in favor of one as the least likely to lead to conceptual confusion. It turns out that accepting my formulation has some surprising taxonomical consequences.

Human cognitive acts are directed towards objects extended in space of a wide range of different types. What follows is a new proposal for bringing order into this typological clutter. The theory of spatially extended objects should make room not only for the objects of physics but also for objects at higher levels, including the objects of geography and of related disciplines. It should leave room for different types of boundaries, including both the bona fide boundaries which we find in (...) the physical world and the fiat (or human-demarcation-induced) boundaries with which much of geography has to deal. Two distinct axiomatic theories of boundaries are accordingly presented, and the need for both is examined in some detail. The resultant dual framework is shown to have application above all for our understanding of issues involving contact, division, and separation, issues which have posed serious difficulties for the ontological theories of boundaries that have been proposed hitherto. (shrink)

Epistemic internalism, by stressing the indispensability of the subject’s perspective, strikes many as plausible at first blush. However, many people have tended to reject the position because certain kinds of beliefs have been thought to pose special problems for epistemic internalism. For example, internalists tend to hold that so long as a justifier is available to the subject either immediately or upon introspection, it can serve to justify beliefs. Many have thought it obvious that no such view can be correct, (...) as it has been alleged that internalism cannot account for the possibility of the justification of beliefs stored in memory. -/- My aim in this paper is to offer a response that explains how memory justification is possible in a way that is consistent with epistemic internalism and an awareness condition on justification. Specifically, I will explore the plausibility of various options open to internalists, including both foundationalist and non-foundationalist approaches to the structure of justification. I intend to show that despite other difficult challenges that epistemic internalism might face, memory belief poses no special problems that the resources of internalism cannot adequately address. (shrink)

The semantics of our event talk is a complex affair. What is it that we are talking about when we speak of Brutus’s stabbing of Caesar? Exactly where and when did it take place? Was it the same event as the killing of Caesar? Some take questions such as these to be metaphysical questions. I think they are questions of semantics—questions about the way we talk and about what we mean. And I think that this conflict between metaphysic and semantic (...) concerns is indicative of a “deep indeterminacy” (Bennett’s phrase) in our event concept. We do talk about events; but what events a statement is about is not something that can be inferred from the event names we use; it depends heavily (more heavily than with ordinary material objects) on local context and unprincipled intuitions. This paper illustrates this view in connection with two examples: the phenomenon of vagueness and the dispute over identity statements. (shrink)

The paper investigates the link between the theory of modal occurrents (where individuals are allowed to stretch across possible worlds) and Lewis’s counterpart theory (where all individuals are world-bound but have counterparts in other worlds). First I show how to interpret modal talk extensionally within the theory of modal occurrents. Then I show that the assumption that worlds be pairwise discrete is all that is needed to reconstruct the bulk of counterpart theory (i.e., to define the concept of a counterpart (...) and to derive the standard postulates governing that concept) in terms of the theory of modal occurrents. Finally, I argue that this reconstruction allows us to view the indeterminacy of our modal intuitions as being part and parcel with the indeterminacy of our criteria for individuating modal occurrents, and that this indeterminacy is naturally explained in terms of linguistic (as opposed to ontic) vagueness. (shrink)

In 1903, in _The Principles of Mathematics_ (_PoM_), Russell endorsed an account of classes whereupon a class fundamentally is to be considered many things, and not one, and used this thesis to explicate his first version of a theory of types, adding that it formed the logical justification for the grammatical distinction between singular and plural. The view, however, was short-lived; rejected before _PoM_ even appeared in print. However, aside from mentions of a few misgivings, there is little evidence about (...) why he abandoned this view. In this paper, I speculate as to what those reasons were, and evaluate them in light of recent work and interest in plural logic. (shrink)

A plausible thought about vagueness is that it involves semantic incompleteness. To say that a predicate is vague is to say (at the very least) that its extension is incompletely specified. Where there is incomplete specification of extension there is indeterminacy, an indeterminacy between various ways in which the specification of the predicate might be completed or sharpened. In this paper we show that this idea is bound to founder by presenting an argument to the effect that there are vague (...) predicates which cannot be sharpened in such a way as to meet certain basic constraints (of penumbral connection and public accessibility) that must be imposed on the very notion of a sharpening. (shrink)

Ordinary reasoning about space—we argue—is first and foremost reasoning about things or events located in space. Accordingly, any theory concerned with the construction of a general model of our spatial competence must be grounded on a general account of the sort of entities that may enter into the scope of the theory. Moreover, on the methodological side the emphasis on spatial entities (as opposed to purely geometrical items such as points or regions) calls for a reexamination of the conceptual categories (...) required for this task. Building on material presented in an earlier paper, in this work we offer some examples of what this amounts to, of the difficulties involved, and of the main directions along which spatial theories should be developed so as to combine formal sophistication with some affinity with common sense. (shrink)

Berkeley, Hume, and Russell rejected the traditional analysis of substances in terms of qualities which are supported by an "unknowable substratum." To them the proper alternative seemed obvious. Eliminate the substratum in which qualities are alleged to inhere, leaving a bundle of coexisting qualities--a view that we may call the Bundle Theory or BT. But by rejecting only part of the traditional substratum theory instead of replacing it entirely, Bundle Theories perpetuate certain confusions which are found in the Substratum Doctrine. (...) I examine two major types of BT developed by Russell and by G. F. Stout with the intention of showing that (1) the seemingly innocuous concept of "a quality" employed by these versions cannot be used to state their theories coherently, and (2) the fatal problems that the BT encounters point to a more satisfactory and interesting alternative to both the Substratum Doctrine and the BT. This is a view that I call the Qualified Particulars Theory. In a final section I draw morals from this discussion that apply to the analogous Humean view that a mind is a "bundle of perceptions and sensations.". (shrink)

ABSTRACT This essay focuses on two underlying presumptions that impinge on the effort of UNESCO to engender universal agreement on a set of bioethical norms: the conception of universality that pervades much of the document, and its disregard of structural inequalities that significantly impact health. Drawing on other UN system documents and recent feminist bioethics scholarship, we argue that the formulation of universal principles should not rely solely on shared ethical values, as the draft document affirms, but also on differences (...) in ethical values that obtain across cultures. UNESCO's earlier work on gender mainstreaming illustrates the necessity of thinking from multiple perspectives in generating universal norms. The declaration asserts the ‘fundamental equality of all human beings in dignity and rights’1 and insists that ‘the highest attainable standard of health is one of the fundamental rights of every human being without distinction of race, religion, political belief, economic or social condition’2 yet it does not explicitly recognize disparities of power and wealth that deny equal dignity and rights to many. Without attention to structural (as opposed to merely accidental) inequities, UNESCO's invocation of rights is so abstract as to be incompatible with its avowed intention. (shrink)

Since its first appearance in 1966, the notion of a supervaluation has been regarded by many as a powerful tool for dealing with semantic gaps. Only recently, however, applications to semantic gluts have also been considered. In previous work I proposed a general framework exploiting the intrinsic gap/glut duality. Here I also examine an alternative account where gaps and gluts are treated on a par: although they reflect opposite situations, the semantic upshot is the same in both cases--the value of (...) some expressions is not uniquely defined. Other strategies for generalizing supervaluations are considered and some comparative facts are discussed. (shrink)

I trace changes to Frege's understanding of numbers, arguing in particular that the view of arithmetic based in geometry developed at the end of his life (1924–1925) was not as radical a deviation from his views during the logicist period as some have suggested. Indeed, by looking at his earlier views regarding the connection between numbers and second-level concepts, his understanding of extensions of concepts, and the changes to his views, firstly, in between Grundlagen and Grundgesetze, and, later, after learning (...) of Russell's paradox, this position is a natural position for him to have retreated to, when properly understood. (shrink)

This paper investigates the view that digital hypercomputing is a good reason for rejection or re-interpretation of the Church-Turing thesis. After suggestion that such re-interpretation is historically problematic and often involves attack on a straw man (the ‘maximality thesis’), it discusses proposals for digital hypercomputing with Zeno-machines , i.e. computing machines that compute an infinite number of computing steps in finite time, thus performing supertasks. It argues that effective computing with Zeno-machines falls into a dilemma: either they are specified such (...) that they do not have output states, or they are specified such that they do have output states, but involve contradiction. Repairs though non-effective methods or special rules for semi-decidable problems are sought, but not found. The paper concludes that hypercomputing supertasks are impossible in the actual world and thus no reason for rejection of the Church-Turing thesis in its traditional interpretation. (shrink)

An important source of doubt about our knowledge of the "external world" is the thought that all of our sensory experience could be delusive without our realizing it. Such wholesale questioning of the deliverances of all forms of perception seems to leave no resources for successfully justifying our belief in the existence of an objective world beyond our subjective experiences. I argue that there is there is a fatal flaw in the very expression of philosophical doubt about the "external world." (...) Therefore, no such justification is necessary. The feature of skepticism which I believe renders it vulnerable is the assumption that each of us has a right to be certain of his own existence as a subject of conscious experience even in the face of comprehensive doubt about our empirical beliefs. (shrink)

Maurice Merleau-Ponty is often interpreted as claiming that opportunities for action are directly present in perceptual experience. However, he does not provide much evidence for how or why this would occur, and one can doubt that this is an appropriate interpretation of his phenomenological descriptions. In particular, it could be argued the Merleau-Pontyian descriptions mistakenly attribute pre-perceptual or post-perceptual elements such as allocation of attention or judgment to the perceptual experience itself. This paper argues for the Merleau-Pontyian idea that opportunities (...) for action are present in perceptual experience. It further argues that the phenomenological descriptions can be supported and explained via reference to contemporary research on motor imagery. In particular, it will be argued that non-conscious, covert motor imagery is used to prepare for and regulate skilled actions, and that it is plausible that this imagery combines with perception (likely vision) to create a single experience of the environment as enabling action. The paper will also show that contemporary views on motor imagery are broadly compatible with Merleau-Ponty’s aims. (shrink)

An examination of the role played by general rules in Hume's positive (nonskeptical) epistemology. General rules for Hume are roughly just general beliefs. The difference between justified and unjustified belief is a matter of the influence of good versus bad general rules, the good general rules being the "extensive" and "constant" ones.

This paper discusses certain problems arising within the treatment of the senses of functions in Alonzo Church's Logic of Sense and Denotation. Church understands such senses themselves to be "sense-functions," functions from sense to sense. However, the conditions he lays out under which a sense-function is to be regarded as a sense presenting another function as denotation allow for certain undesirable results given certain unusual or "deviant" sense-functions. Certain absurdities result, e.g., an argument can be found for equating any two (...) senses of the same type. An alternative treatment of the senses of functions is discussed, and is thought to do better justice to Frege's original theory. (shrink)