As anyone who has flown out of a cloud knows, the boundaries of a cloud are a lot less sharp up close than they can appear on the ground. Even when it seems clearly true that there is one, sharply bounded, cloud up there, really there are thousands of water droplets that are neither determinately part of the cloud, nor determinately outside it. Consider any object that consists of the core of the cloud, plus an arbitrary selection of these droplets. (...) It will look like a cloud, and circumstances permitting rain like a cloud, and generally has as good a claim to be a cloud as any other object in that part of the sky. But we cannot say every such object is a cloud, else there would be millions of clouds where it seemed like there was one. And what holds for clouds holds for anything whose boundaries look less clear the closer you look at it. And that includes just about every kind of object we normally think about, including humans. Although this seems to be a merely technical puzzle, even a triviality, a surprising range of proposed solutions has emerged, many of them mutually inconsistent. It is not even settled whether a solution should come from metaphysics, or from philosophy of language, or from logic. Here we survey the options, and provide several links to the many topics related to the Problem. (shrink)

According to the plurivaluationist, our vague discourse doesn’t have a single meaning. Instead, it has many meanings, each of which is precise—and it is this plurality of meanings that is the source of vagueness. I believe plurivaluationist positions are underdeveloped and for this reason unpopular. This paper attempts to correct this situation by offering a particular development of plurivaluationism that I call supersententialism. The supersententialist leverages lessons from another area of research—the Problem of the Many—in service of (...) the plurivaluationist position. The Problem reveals theoretical reasons to accept that there are many cats where we thought there was one; the supersententialist claims that we are in a similar situation with respect to languages, propositions and sentences. I argue that the parallel suggested by the supersententialist reveals unappreciated advantages and lines of defense for plurivaluationism. (shrink)

Naive mereology studies ordinary, common-sense beliefs about part and whole. Some of the speculations in this article on naive mereology do not bear directly on Peter van Inwagen's "Material Beings". The other topics, (1) and (2), both do. (1) Here is an example of Peter Unger's "Problem of the Many". How can a table be a collection of atoms when many collections of atoms have equally strong claims to be that table? Van Inwagen invokes fuzzy sets to (...) solve this problem. I claim that an alternative treatment of vagueness, supervaluations over many-value valuations, provides a better solution. (2) The Special Composition Question asks how parts compose a whole. One who rejects van Inwagen's answer in terms of constituting a life need not provide some alternative answer. Even if all answers to the Special Question fail, there are a multitude of less general composition questions that are not so difficult. (shrink)

E. J. Lowe; The problem of the many and the vagueness of constitution, Analysis, Volume 55, Issue 3, 1 July 1995, Pages 179–182, https://doi.org/10.1093/analys/.

A problem of the many Fs arises in cases where intuitively there is precisely one F (in the region you are talking about), but when you look closely you find many candidates for being that F, each one apparently as well-qualified as the next. Imagine an apparently solitary cloud in an otherwise blue sky. Look closer, and you'll see lots of water vapor molecules, with no one collection of them more eligible than the others to count as (...) the cloud. Many things are like this when you look closely enough. The problem arises for mundane things like rocks, houses and coins. It also arises for entities that present special philosophical challenges, like persons and experiencers. In this essay, I present a new argument that the problem of the many experiencers is an especially hard problem of the many, and property dualism—the view that properties that there is something it is like to instantiate are irreducible—may be the best way to solve it. (shrink)

The problem of the many poses the task of explaining mereological indeterminacy of ordinary objects in a way that sustains our familiar practice of counting these objects. The aim of this essay is to develop a solution to the problem of the many that is based on an account of mereological indeterminacy as having its source in how ordinary objects are, independently of how we represent them. At the center of the account stands a quasi-hylomorphic ontology (...) of ordinary objects as material objects with multiple individual forms. (shrink)

David Lewis offers two solutions to the problem of the many, one of which relies on supervaluationism and the other on the notion of “almost-identity” for the most part. In this paper, I argue that Lewis’ other metaphysical views constitute reasons to prefer his second solution to the first one. Specifically, Lewis’ theory of propositions and his counterpart theory give rise to two similar problems of the many, which I call “the problem of many propositions” (...) and “the problem of many counterparts” respectively. While both Lewis’ solutions may solve the problem of the many with respect to objects in the actual world, I argue that only his second solution can solve the problem of many propositions and the problem of many counterparts. Therefore, for anyone who accepts Lewis’ metaphysical views on propositions and counterparts, they should embrace Lewis’ second solution to the problem of the many for the reason of unification. (shrink)

Kilimanjaro is a paradigmatic mountain, if any is. Consider atom Sparky, which is neither determinately part of Kilimanjaro nor determinately not part of it. Let Kilimanjaro(+) be the body of land constituted, in the way mountains are constituted by their constituent atoms, by the atoms that make up Kilimanjaro together with Sparky, and Kilimanjaro(–) the one constituted by those other than Sparky. On the one hand, there seems to be just one mountain in the vicinity of Kilimanjaro. On the other (...) hand, both Kilimanjaro(+) and Kilimanjaro(–)—and indeed many other similar things—seem to have an equal claim to be a mountain: all of them exhibit the grounds for something being a mountain—like being an elevation of the earth’s surface rising abruptly and to a large height from the surrounding level,1 or whathaveyou—; and there seems to be nothing in the vicinity with a better claim. Hence, the problem of the many. (shrink)

It is argued that, given certain reasonable premises, an infinite number of qualitatively identical but numerically distinct minds exist per functioning brain. The three main premises are (1) mental properties supervene on brain properties; (2) the universe is composed of particles with nonzero extension; and (3) each particle is composed of continuum-many point-sized bits of particle-stuff, and these points of particle-stuff persist through time.

Consider a cat on a mat. On the one hand, there seems to be just one cat, but on the other there seem to be many things with as good a claim as anything in the vicinity to being a cat. Hence, the problem of the many. In his ‘Many, but Almost One,’ David Lewis offered two solutions. According to the first, only one of the many is indeed a cat, although it is indeterminate exactly (...) which one. According to the second, the many are all cats, but they are almost identical to each other, and hence they are almost one. For Lewis, the two solutions do not compete with each other but are mutually complementary, as each one can assist the other. This paper has two aims: to give some reasons against the first of these two solutions, but then to defend the second as a self-standing solution from Lewis’s considerations to the contrary. (shrink)

Supervaluational treatments of vagueness are currently quite popular among those who regard vagueness as a thoroughly semantic phenomenon. Peter Unger's 'problem of the many' may be regarded as arising from the vagueness of our ordinary physical-object terms, so it is not surprising that supervaluational solutions to Unger's problem have been offered. I argue that supervaluations do not afford an adequate solution to the problem of the many. Moreover, the considerations I raise against the supervaluational solution (...) tell also against the solution to the problem of the many which is suggested by adherents of the epistemic theory of vagueness. (shrink)

There is a defeasible constraint against double counting. When I count colours, for instance, I can’t freely count both a colour and its shades. Once we properly grasp this constraint, we can solve the problem of the many. Unlike other solutions, this solution requires us to reject neither our counting judgments, nor the metaphysical principles that seemingly conflict with them. The key is recognizing that the judgments and principles are compatible due to the targeted effects of the defeasible (...) constraint. (shrink)

Peter Unger's 'problem of the many' has elicited many responses over the past quarter of a century. Here I present a new problem of the many. This new problem, I claim, is resistant to the solutions cunently on offer for Unger's problem.

Assume also that it is vague, in some sense, which hairs are hairs of that cat. Then one might think that it is indeterminate in some sense which thing is the cat on the mat.

Unger’s Problem of the Many seems to show that the familiar macroscopic world is much stranger than it appears. From plausible theses about the boundaries of or- dinary objects, Unger drew the conclusion that wherever there seems to be just one cat, cloud, table, human, or thinker, really there are many millions; and likewise for any other familiar kind of individual. In Lewis’s hands, this puzzle was subtly altered by an appeal to vagueness or indeterminacy about the (...) the boundaries of ordinary objects. This thesis examines the relation between these puzzles, and also to the phenomenon of vagueness. Chapter 1 begins by distinguishing Unger’s puzzle of too many candidates from Lewis’s puzzle of borderline, or vague, candidates. We show that, contra Unger, the question of whether this is a genuine, as opposed to merely apparent, distinction cannot be settled without investigation into the nature of vagueness. Chapter 2 begins this investigation by developing a broadly supervaluationist account of vague- ness that is immune to the standard objections. This account is applied to Unger’s and Lewis’s puzzles in chapters 3 and 4. Chapter 3 shows that, despite its popularity, Lewis’s own approach to the puzzles is unsatisfactory: it does not so much solve the puzzle, as prevent us from expressing them; it cannot be extended to objects that self-refer; it is committed to objectionable theses about temporal and modal metaphysics and semantics. Chapter 4 develops a conception of ordinary objects that emphasises the role of identity conditions and change, and uses it to resolve both Problems of the Many. This allows us to diagnose the source of the puzzles: an overemphasis on mereology in contemporary material ontology. (shrink)

A plausible desideratum for an account of the nature of objects, at, and across time, is that it accommodate the phenomenon of vagueness without locating vagueness in the world. A series of arguments have attempted to show that while universalist perdurantism -- which combines a perdurantist account of persistence with an unrestricted mereological account of composition -- meets this desideratum, endurantist accounts do not. If endurantists reject unrestricted composition then they must hold that vagueness is ontological. But if they embrace (...) unrestricted composition they are faced with the problem of the many, and cannot plausibly accommodate vagueness. This paper disambiguates two related sub-problems of the problem of the many, and argues that universalist perdurantism is not superior to universalist endurantism with respect to either of these. (shrink)

The chapter unfolds in the following sections. The first section exam- ines the reasons for claiming that olfactory perception is spatially unstruc- tured and our experience of smells has an abstract structure. The second section elucidates the further arguments that olfaction cannot generate figure-ground segregation. The third section assesses the conclusion that olfactory perception and experience cannot solve the MPP. Following the overview of the many problems inherent to distal olfactory percep- tion, MST will be introduced as an alternative (...) perspective that allows for figure-ground segregation and perceiving multiple olfactory objects within an array. The chapter then concludes by replying to the shared argument that olfactory distal perception does not have the requisite res- olution to resolve the many properties problem. (shrink)

One winter’s Saturday Clarence wakes up. He realises he has left his umbrella at work. The office is locked, and he can’t get in. Being one of those people who punish themselves for their mistakes, he can’t bring himself to buy a replacement. He has an engagement six kilometres down the road and starts wondering whether it will rain. Normally, this would not be a problem, but his motor vehicle has broken down because he forgot to have it serviced. (...) And of course, he blames himself for this mistake, so it is only natural that he can’t bring himself to hire a cab or take a bus. He really should hope that it rains and that he gets drenched on the way to his engagement, but he is only human after all, and a small part of himhopes that it is a sunny day. (shrink)

A plausible desideratum for an account of the nature of objects, at, and across time, is that it accommodate the phenomenon of vagueness without locating vagueness in the world. A series of arguments have attempted to show that while universalist perdurantism – which combines a perdurantist account of persistence with an unrestricted mereological account of composition – meets this desideratum, endurantist accounts do not. If endurantists reject unrestricted composition then they must hold that vagueness is ontological. But if they embrace (...) unrestricted composition they are faced with the problem of the many, and cannot plausibly accommodate vagueness. This paper disambiguates two related sub-problems of the problem of the many, and argues that universalist perdurantism is not superior to universalist endurantism with respect to either of these. (shrink)

One of the most influential traditional objections to Adverbialism about perceptual experience is that posed by Frank Jackson’s ‘many property problem’. Perhaps largely because of this objection, few philosophers now defend Adverbialism. We argue, however, that the essence of the many property problem arises for all of the leading metaphysical theories of experience: all leading theories must simply take for granted certain facts about experience, and no theory looks well positioned to explain the facts in a (...) straightforward way. Because of this, the many property problem isn’t on its own a good reason for rejecting Adverbialism; and nor is it a puzzle that will decide amongst the other leading theories. (shrink)

Although the predominant view is that vagueness is due to our language being imprecise, the alternative idea that objects themselves do not have determinate borders has received an occasional hearing. But what has failed to be appreciated is how this idea can avoid a puzzle Peter Unger named “The Problem of the Many.”[i].

“What is the structure of thought?” is as central a question as any in cognitive science. A classic answer to this question has appealed to a Language of Thought (LoT). We point to emerging research from disparate branches of the field that supports the LoT hypothesis, but also uncovers diversity in LoTs across cognitive systems, stages of development, and species. Our letter formulates open research questions for cognitive science concerning the varieties of rules and representations that underwrite various LoT-based systems (...) and how these variations can help researchers taxonomize cognitive systems. (shrink)

This paper offers an original solution to the problem of the many, built on a foundation of powers-based causation. At its most basic, the solution should be understood as a type of maximality response, and on those grounds its originality might be questioned. However, it is argued that novelty of the solution owes as much to the meta-metaphysical context in which the solution is framed as it does the model of causal powers. A discussion of paradigms in metaphysics (...) is included. (shrink)

The Problem of the Criterion The Problem of the Criterion is considered by many to be a fundamental problem of epistemology. In fact, Chisholm (1973, 1) claims that the Problem of the Criterion is “one of the most important and one of the most difficult of all the problems of philosophy.” A popular form of […].

We start by very briefly describing the measurement problem in quantum mechanics and its solution by the Many Worlds Interpretation. We then describe the preferred basis problem, and the role of decoherence in the MWI. We discuss a number of approaches to the preferred basis problem and argue that contrary to the received wisdom, decoherence by itself does not solve the problem. We address Wallace’s emergentist approach based on what he calls Dennett’s criterion, and we (...) compare the logical structure of Wallace’s argument that the Hilbert space structure and the unitary dynamics should be considered a complete description of the physics of the universe with the logical structure of the EPR argument against the completeness of quantum mechanics. Then, we consider the nature of so-called “high level emergent facts” and Dennett’s criterion in Wallace’s approach and we discuss the implications of its non-reductive nature. Finally, we conclude that the MWI is not a straightforward interpretation of pure quantum mechanics that doesn't add anything to it. Whether or not it is more parsimonious than other quantum mechanical theories depends on the details of the additions. (shrink)

Since Darwin it is widely accepted that natural selection (NS) is the most important mechanism to explain how biological organisms—in their amazing variety—evolve and, therefore, also how the complexity of certain natural systems can increase over time, creating ever new functions or functional structures/relationships. Nevertheless, the way in which NS is conceived within Darwinian Theory already requires an open, wide enough, functional domain where selective forces may act. And, as the present paper will try to show, this becomes even more (...) evident if one looks into the problem of origins. If there was a time when NS was not operating (as it is quite reasonable to assume), where did that initial functional diversity, necessary to trigger off the process, come from? Self-organization processes may be part of the answer, as many authors have claimed in recent years, but surely not the complete one. We will argue here that a special type of self-maintaining organization, arising from the interplay among a set of different endogenously produced constraints (pre-enzymatic catalysts and primitive compartments included), is required for the appearance of functional diversity in the first place. Starting from that point, NS can progressively lead to new (and, at times, also more complex) organizations that, in turn, provide wider functional variety to be selected for, enlarging in this way the range of action and consequences of the mechanism of NS, in a kind of mutually enhancing effect. (shrink)

Plato believed that behind everything in the universe lie mathematical principles. Plato was inspired by Pythagoras (571 BCE), who developed a school of mathematics at Crotona that studied sacred geometry as a form of religion. The school’s motto was “God is number,” or “All is Number”. Pythagoras believed that numbers represented God in pattern, symmetry, and infinity. When one of its students, Hippasus told the world the secret of the existence of irrational numbers, Greek geometry was born and Pythagoras’ idea (...) of divinity in numbers died because how could God not be perfect and symmetrical? In Plato’s Republic he discusses something called The Divided Line, which is a map, of sorts, for reaching what he calls the highest Good, which is the ultimate truth where one realizes the true state of the universe and can see the world for what it really is. Many mathematicians have attempted to plot Plato’s Divided Line only to come across a litany of problems and conundrums. Some have said that it the Divided Line cannot be plotted and is merely an allegory not meant to be plotted. This paper discusses some of the conundrums preventing the plotting of Plato’s Divided Line (not an exhaustive list), including Whole ‘vs’ Separate, Equality ‘vs’ Ontological Dissimilarity, Linear ‘vs’ Non-linear, and Infinity ‘vs’ Finite. This paper also explores a new understanding of the Allegory of the Cave in light of ‘the problem of the irrational.’ In exploring the link between the Divided Line and the ‘the problem of the irrational,’ I was able to plot it. It was found that the Divided Line is not a line in the linear sense, but a spiral, the Golden Ratio! This paper is an example of a new category of scholarly inquiry I call “Math Theory” based on scholarly mathematical axioms in theory, rather than including actual maths. In my papers I use existing mathematical equations and place them in an encompassing theory, rather than finding new formulae to fit an existing theory. Keywords: Pythagoras, divided line, math theory, highest good, all is number. (shrink)

According to a (once) venerable tradition, our knowledge of the external world is crucially dependent on divine favor: our ability to obtain knowledge of the world around us is made possible by God’s having so ordered things. I argue that this view, despite its unpopularity among con­temporary philosophers, is supported by a certain inference to the best explanation: namely, it provides an effective way of reconciling two widely held beliefs that, on the assumption of naturalism, appear incompatible: (1) that knowledge (...) is incompatible with the kind of luck present in Gettier sce­narios and (2) that arguments for external world skepticism can be effectively rebutted by “shifting” them in the style of G. E. Moore. (shrink)

In Sinners in the Presence of a Loving God, R. Zachary Manis examines in detail the several facets of the problem of hell, considers the reasons why the usual responses to the problem are unsatisfying, and suggests how an adequate solution to the problem can be constructed.

It has been argued that St. Thomas Aquinas’s anthropological views fall prey to the problem of “Too Many Thinkers.” The worry, roughly, is that his views entail that I—a human person—am able to think, but that my soul—which is not a human person—is also able to think. Hence, too many thinkers: there are too many ofus having my thoughts. In this paper, I show why this is not a problem for St. Thomas. Along the way, (...) I also address Peter Unger’s argument for substance dualism. (shrink)

This paper addresses the issue of rule-following in the context of the problem of the criterion. It presents a line of reasoning which concludes we do not know what rule we follow, but which develops independently of the problem of extrapolation that plays a major role in many recent discussions of rule-following. The basis of the argument is the normativity of rules, but the problem is also distinct from the issue of the gap between facts and (...) values in axiology. The paper further points out that the epistemic problem of not knowing what rule we follow leads to the outright denial of rule-following. (shrink)

This paper addresses the issue of rule-following in the context of the problem of the criterion. It presents a line of reasoning which concludes we do not know what rule we follow, but which develops independently of the problem of extrapolation that plays a major role in many recent discussions of rule-following. The basis of the argument is the normativity of rules, but the problem is also distinct from the issue of the gap between facts and (...) values in axiology. The paper further points out that the epistemic problem of not knowing what rule we follow leads to the outright denial of rule-following. (shrink)

In this paper, we argue that what is often discussed under the umbrella of `spacetime emergence' in the philosophy of quantum gravity in fact consists of a plethora of distinct and even highly different problems. We therefore advocate to cast such debates more specifically in terms of the emergent spatiotemporal aspects, as is already done in the physics literature. We first show how ambiguous the notion of spacetime is already in general relativity. We then argue against three ways to reject (...) our call for specificity: the many distinct philosophical problems relating to the emergence of the various spatiotemporal aspects do not suggest any singular, overarching, or exceptional problem of spacetime emergence. We also discuss how the objections are reflected by five conceptions of spacetime. Next, we observe that different spatiotemporal aspects are emergent in the different quantum gravity approaches, whereby investigating emergence in quantum gravity collectively is problematic. Finally, we illustrate how philosophical inquiries that employ notions of spacetime emergence are aided by conducting the investigation at the level of specific spatiotemporal aspects. (shrink)

Shoemaker maintains that when a functionalist theory of mind is combined with his belief about individuating properties and the well-known cerebrumtransplant thought experiment, the resulting position will be a version of the psychological approach to personal identity that can avoid The Problem of Too Many Thinkers. I maintain that the costs of his solution—that the human animal is incapable of thought—are too high. Shoemaker also has not provided an argumentagainst there existing a merely conscious being that is not (...) essentially self-conscious but is spatially coincident with a person who is essentially self-conscious. Both the person and the merely sentient being will be transplanted when the cerebrum is. And another thought experiment will make it impossible for Shoemaker to identify the person and the merely conscious being. (shrink)

The most important of what is taught in rhetoric is the development of the term, but the scholar and researcher in the rhetorical term finds that he has suffered many problems, including what is within the rhetoric as an independent science itself, and it is classified as internal problems, including beyond the limits of rhetoric to reach the linguistic sciences in general and İslamic, is classified within the external problems, and one of the most important internal problems, the (...) class='Hi'>problem of pluralism of the terms of one concept. This problem has been evident in the old rhetorical works as well as some modern works. This article has been devoted to the study of important aspects of this phenomenon. (shrink)

Consciousness presents us with many aspects. In trying to explain consciousness, one may be tempted to address only the problem of qualia, as for example explaining color red. But can this attempt be done on its own without somehow taking into account also the subject of experience? In this paper, we will concentrate in addressing the problem of the Self without any reference to any particular quale. The best place where the Self can be analyzed is at (...) a point where it no longer exists, that being in principal the moment of death. By analyzing what life after death might mean, we will shed light on some characteristics of the Self. It will turn out that the problem of the Self is the problem of the continuity or discontinuity of the Self. (shrink)

I argue that the many worlds explanation of quantum computation is not licensed by, and in fact is conceptually inferior to, the many worlds interpretation of quantum mechanics from which it is derived. I argue that the many worlds explanation of quantum computation is incompatible with the recently developed cluster state model of quantum computation. Based on these considerations I conclude that we should reject the many worlds explanation of quantum computation.

The prevention of war and the strengthening of peace are a problem that has troubled the minds of people for many centuries and today has become the most urgent problem of world politics, requiring a resolution that brooks no delay. The risk of war, which decreased somewhat in the middle of the last decade, increased anew at the beginning of the '80s owing to the aggressive circles of imperialism, in particular American imperialism.

Many years the academic community has been discussing issues of a universal metalanguage as the general conceptual framework of modern social and humanitarian research, especially of philosophy. The article questions the claim that the language of Western philosophy was already accepted as a unified tool in the 20th century. The peculiarities of perception and further application of Western philosophical terminology in Japan in late 19th – first half of the 20th centuries are investigated here as a factual evidence base (...) of argumentation. Special attention is given to examples of translation and interpretation of some concepts of Western origin, such as metaphysics, ethics, logic, substance, subject, etc., as observed in the works of eminent thinkers Nishi Amane, Inoue Tetsujiro, Nishida Kitaro, and Watsuji Tetsuro. The paper provides examples of new original concepts developed by modern Japanese philosophers, such as Kimura Bin, Hiromatsu Wataru et al. The author concludes that the general conceptual framework that modern philosophy operates with is a very dynamic and open system, capable of transforming in different cultural contexts and in keeping with newly emerging issues that require analysis. The article identifies factors that provide philosophical communication between different cultures at the conceptual level, that is, the presence of a common circle of problems and presence of partial overlap between the key concepts. The author poses the problem of the emergence of new approaches and ideas in a situation of “conflicting interpretations,” or incomplete equivalence of similar notions when used by the parties in a dialogue, casting doubt on possibility, necessity and reasonability of exact reproduction of meanings and “complete domestication” in other cultures. (shrink)

It is well known that Aristotle’s Metaphysics presents historians with many problems of literary history. The fourteen books of "first philosophy" available today did not originally form one single work which Aristotle himself planned and authored. This work as we have it is rather the result of a compilation after its author’s death. His disciples have joined together different writings which reflect their master’s teaching at different points in his career. Consequently, historians are confronted with problems of chronology, both (...) absolute and relative, with respect to each of the parts they distinguish in our version of the Metaphysics. One’s understanding of Aristotle’s thought and of the development of his teaching depends in large part on the solution to these problems. (shrink)

Shoemaker maintains that when a functionalist theory of mind is combined with his belief about individuating properties and the well-known cerebrumtransplant thought experiment, the resulting position will be a version of the psychological approach to personal identity that can avoid The Problem of Too Many Thinkers. I maintain that the costs of his solution—that the human animal is incapable of thought—are too high. Shoemaker also has not provided an argumentagainst there existing a merely conscious being that is not (...) essentially self-conscious but is spatially coincident with a person who is essentially self-conscious. Both the person and the merely sentient being will be transplanted when the cerebrum is. And another thought experiment will make it impossible for Shoemaker to identify the person and the merely conscious being. (shrink)