As far as ‘modern’ logical theories of vagueness are concerned, a main distinction can be drawn between ‘semantical’ ones and ‘pragmatical’ ones. The latter are defended here, because they tend to retake into account important contextual dimensions of the problem abandoned by the former. Their inchoate condition seems not alarming, since they are of surprisingly recent date. This, however, could very well be an accidental explanation. That is, the true reason for it might sooner or later turn out to be (...) bearing exactly on the fundamental human limitations, when it comes to theorizing, that these approaches are urging us to appreciate. (shrink)

An encyclopedia entry which covers various revisionary conceptions of which macroscopic objects there are, and the puzzles and arguments that motivate these conceptions: sorites arguments, the argument from vagueness, the puzzles of material constitution, arguments against indeterminate identity, arguments from arbitrariness, debunking arguments, the overdetermination argument, and the problem of the many.

The sorites paradox is the name given to a class of paradoxical arguments, also known as little by little arguments, which arise as a result of the indeterminacy surrounding limits of application of the predicates involved. For example, the concept of a heap appears to lack sharp boundaries and, as a consequence of the subsequent indeterminacy surrounding the extension of the predicate ‘is a heap’, no one grain of wheat can be identified as making the difference between being a heap (...) and not being a heap. Given then that one grain of wheat does not make a heap, it would seem to follow that two do not, thus three do not, and so on. In the end it would appear that no amount of wheat can make a heap. We are faced with paradox since from apparently true premises by seemingly uncontroversial reasoning we arrive at an apparently false conclusion. (shrink)

In The Principles of Mathematics, Russell writes: Whatever may be an object of thought, or may occur in any true or false proposition, or can be counted as one, I call a term. This, then, is the widest word in the philosophical vocabulary. I shall use as synonymous with it the words unit, individual and entity. The first two emphasize the fact that every term is one, while the third is derived from the fact that every term has being, i.e. (...) is in some sense. A man, a moment, a number, a class, a relation, a chimera, or anything else that can be mentioned, is sure to be a term'. Now in this remark, a certain extremely general, topic-neutral use of ‘object’ is singled out, a use in which the expression is treated as equivalent to (equally neutral) uses of ‘term’, ‘entity’, ‘unit’, ‘individual’, and ‘thing’. In addition, a claim is made to the effect that the content of the expression, with its emphasis on one, is such as to be adequate to comprehend the sum-total of existence, to include whatever there may be. The paper addresses the question of what this claim means, and whether it might be true. (shrink)

According to an old and attractive view, vagueness must be eliminated before semantic notions — truth, implication, and so on — may be applied. This view was accepted by Frege, but is rarely defended nowadays.1 This..

That reference is inscrutable is demonstrated, it is argued, not only by W. V. Quine's arguments but by Peter Unger's "Problem of the Many." Applied to our own language, this is a paradoxical result, since nothing could be more obvious to speakers of English than that, when they use the word "rabbit," they are talking about rabbits. The solution to this paradox is to take a disquotational view of reference for one's own language, so that "When I use 'rabbit,' I (...) refer to rabbits" is made true by the meaning of the word "refer." The reference relation is extended to other languages by translation. The explanation for this peculiarly egocentric conception of semantics-questions of others' meanings are settled by asking what I mean by words of my language-is to be found in our practice of predicting and explaining other people's behavior by empathetic identification. I understand other people's behavior by asking what I would do in their place. (shrink)

When a tree is chopped to bits, or a sweater unravelled, its matter still exists. Since antiquity, it has sometimes been inferred that nothing really has been destroyed: what has happened is just that this matter has assumed new form. Contemporary versions hold that apparent destruction of a familiar object is just rearrangement of microparticles or of 'physical simples' or 'world stuff'. But if destruction of a familiar object is genuinely to be reduced to mere alteration of something else, we (...) must identify an alteration proper to the career, the course of existence, of this something else; relatedly, the alteration must be characterizable without asserting the existence of the familiar object. All contemporary views fail one of these requirements. (shrink)

Following Hartry Field in distinguishing disquotational truth from a conception that grounds truth conditions in a community's usage, it is argued that the notions are materially inequivalent (since the latter allows truth-value gaps) and that both are needed. In addition to allowing blanket endorsements ("Everything the Pope says is true"), disquotational truth facilitates mathematical discovery, as when we establish the Gödel sentence by noting that the theorems are all disquotationally true and the disquotational truths are consistent. We require a more (...) substantial notion, however, if we intend to use truth values and truth conditions in explaining communication by language. (shrink)

This paper offers the Boolean many-valued solution to the Sorites Paradox. According to the precisification-based Boolean many-valued theory, from which this solution arises, sentences have not only two truth values, truth (or 1) and falsity (or 0), but many Boolean values between 0 and 1. The Boolean value of a sentence is identified with the set of precisifications in which the sentence is true. Unlike degrees fuzzy logic assigns to sentences, Boolean many values are not linearly but only partially ordered; (...) so there are values that are incomparable. Despite this fact, the sentences in a sorites series can be taken as having values in a linear order, and losing (or gaining) value as we move from sentence to sentence in the series. So there is no sharp borderline between 0 and 1. Assigning Boolean many values instead of the two truth values to sentences for their vagueness values is analogous to assigning propositions instead of the truth values to sentences for their semantic values, as propositions are, from our viewpoint, also Boolean many values. (shrink)

One might well wonder—is there a category under which every thing falls? Offering an informative account of such a category is no easy task. For nothing would distinguish things that fall under it from those that don’t—there being, after all, none of the latter. It seems hard, then, to say much about any fully general category; and it would appear to do no carving or categorizing or dividing at all. Nonetheless there are candidates for such a fully general office, including (...) thing, being, entity, item, existent, and—especially—object.[ It is not obvious that there is any fully general category (whether object or otherwise). Accordingly, not all accounts of object assign it to a fully general category, instead allowing that there are non-objects. On those views, object does indeed divide. Accounts of object, then, differ with respect to whether there are non-objects. And this is not the only fault line. Other dimensions of difference include what objects there are and what objects are. Accordingly, this entry will survey three broad questions about the category object: What, if any, is its contrast or complement? What is its extension? What is its nature? (shrink)

Let us begin with a fundamental realization: No amount of thinking and no amount of public policy have brought us any closer to understanding and solving the problem of crime. The more we have reacted to crime, the farther we have removed ourselves from any understanding and any reduction of the problem. In recent years, we have floundered desperately in reformulating the law, punishing the offender, and quantifying our knowledge. Yet this country remains one of the most crime‐ridden nations. In (...) spite of all its wealth, economic development, and scientific advances, this country has one of the worst crime records in the world.With such realization, we return once again—as if starting anew—to the subject of crime, a subject that remains one of our most critical indicators of the state of our personal and collective being. If what is to be said seems outrageous and heretical, it is only because it is necessarily outside the conventional wisdom both of our understanding of the problem and of our attempt to solve it. (shrink)

In this paper I argue, first, that the only difference between Epistemicism and Nihilism about vagueness is semantic rather than ontological, and second, that once it is clear what the difference between these views is, Nihilism is a much more plausible view of vagueness than Epistemicism. Given the current popularity of certain epistemicist views (most notably, Williamson’s), this result is, I think, of interest.

This paper opposes universal mereological composition (UMC). Sider defends it: unless UMC were true, he says, it could be indeterminate how many objects there are in the world. I argue that there is no general connection between how widely composition occurs and how many objects there are in the world. Sider fails to support UMC. I further argue that we should disbelieve in UMC objects. Existing objections against them say that they are radically unlike Aristotelian substances. True, but there is (...) a stronger objection. This is that they are characterized by no properties, and so fail to be like anything – even themselves. (shrink)

1. The label conjunctive paraconsistency has been adopted to mean a consequence relation whereby ‘p and not p’ does not imply ‘p’ and ‘not p’ separately, so that Simplification in case of contradic...

ABSTRACTCarnap famously argued that there are two kinds of questions and claims concerning the existence or reality of entities: internal and external ones. We focus on Carnapian external ontological claims of the form: ‘Xs really exist’, where ‘X’ stands for some traditional metaphysical category, such as ‘substance’, ‘fact’ or ‘structure’. While Carnap considered them as meaningless, we consider them as faultlessly meaningful. However, in line with an expressivist guise, we do not claim that they have the meaning they have in (...) virtue of representing a certain range of entities in the world or describing pieces of reality. Quite the contrary, we maintain that they are meaningful because they perform a function that is fundamentally expressive, that is, a non-descriptive function. In particular, they may imply a distinctive type of metalinguistic expressive function. Moreover, we avoid accuses of mentalism insofar as we explain the meaning of external ontological claims in terms of the practical commitments to the adoption of certain linguistic forms they express, rather than as expressing some kind of mental state. (shrink)

It is common to criticize a debate by alleging that it is a “merely verbal dispute.” But how conclusive would an argument based on such allegations be? This article takes the material‐composition debate as a case study and argues that the merely verbal dispute objection is less decisive than one might expect. While assessing the dialectical effectiveness of the mere‐verbality move, the article also tries to mark some progress in the philosophical understanding and appreciation of the phenomenon itself of merely (...) verbal disputes. Its contribution consists in shedding light on a distinction between the “faultlessness” and “faultiness” of a merely verbal dispute. (shrink)

This paper opposes universal mereological composition. Sider defends it: unless UMC were true, he says, it could be indeterminate how many objects there are in the world. I argue that there is no general connection between how widely composition occurs and how many objects there are in the world. Sider fails to support UMC. I further argue that we should disbelieve in UMC objects. Existing objections against them say that they are radically unlike Aristotelian substances. True, but there is a (...) stronger objection. This is that they are characterized by no properties, and so fail to be like anything – even themselves. (shrink)

In Elder-Vass’s response to my it is maintained: that a social object is not identical with but is merely composed of its suitably interrelated parts; that a social object is necessarily indistinguishable in terms of its causal capacities from its interrelated parts; and that ontological individualism lacks an adequate ontological justification. In this reply, I argue that in view of the so-called redescription principle defended by Elder-Vass ought to be reformulated and renamed; that the conjunction of and renders social objects (...) causally redundant; and that ontological individualism can be coherently formulated and theoretically justified within Elder-Vass’s own metaphysics of objects with causal powers. (shrink)

Mereological nihilists are faced with a difficult challenge: explaining ordinary talk about material objects. Popular paraphrase strategies involve plurals, arrangements of particles, or fictions. In this paper, a new paraphrase strategy is put forward that has distinct advantages over its rivals: it is compatible with gunk and emergent properties of macro-objects. The only assumption is a commitment to a liberal view of the nature of simples; the nihilist must be willing to accept the possibility of heterogeneous extended simples. The author (...) suggests reinterpreting the parthood and composition relations as modal. According to this paraphrase, composition is a kind of counterpart relation. The author shows that one can accept that mereological nihilism is metaphysically necessary, while endorsing all the claims of classical mereology. As a result, the nihilists are in exactly the same position as the classical mereologist when it comes to explaining talk about ordinary objects, but without the additional ontology. (shrink)

What I hope to show here is that the costs of taking sorites arguments seriously, in particular the costs with respect to hopes for precise replacement are significantly greater than proponents of sorites arguments have estimated.

Let us begin with a fundamental realization: No amount of thinking and no amount of public policy have brought us any closer to understanding and solving the problem of crime. The more we have reacted to crime, the farther we have removed ourselves from any understanding and any reduction of the problem. In recent years, we have floundered desperately in reformulating the law, punishing the offender, and quantifying our knowledge. Yet this country remains one of the most crime-ridden nations. In (...) spite of all its wealth, economic development, and scientific advances, this country has one of the worst crime records in the world.With such realization, we return once again—as if starting anew—to the subject of crime, a subject that remains one of our most critical indicators of the state of our personal and collective being. If what is to be said seems outrageous and heretical, it is only because it is necessarily outside the conventional wisdom both of our understanding of the problem and of our attempt to solve it. (shrink)

Unger claims that we can block sorites arguments for the conclusion that there are no ordinary things only by invoking some kind of miracle, but no such miracle is needed if we reject the principle that every statement has a truth value. Wheeler's argument for the nonexistence of ordinary things depends on the assumptions that if ordinary things exist, they comprise real kinds, and that if ordinary predicates really apply to things, the predicates refer to real properties. If we accept (...) Wheeler's criteria for the reality of kinds and properties, we have no good reason to accept these assumptions. (shrink)