Bertrand Russell’s _Principles of Mathematics_ (1903) gives rise to several interpretational challenges, especially concerning the theory of denoting concepts. Only relatively recently, for instance, has it been properly realised that Russell accepted denoting concepts that do not denote anything. Such empty denoting concepts are sometimes thought to enable Russell, whether he was aware of it or not, to avoid commitment to some of the problematic non-existent entities he seems to accept, such as the Homeric gods and chimeras. In this paper, (...) I argue first that the theory of denoting concepts in _Principles of __Mathematics_ has been generally misunderstood. According to the interpretation I defend, if a denoting concept shifts what a proposition is about, then the aggregate of the denoted terms will also be a constituent of the proposition. I then show that Russell therefore could not have avoided commitment to the Homeric gods and chimeras by appealing to empty denoting concepts. Finally, I develop what I think is the best understanding of the ontology of _Principles of __Mathematics_ by interpreting some difficult passages. (shrink)

Are colors relational or non-relational properties of their bearers? Is red a property that is instantiated by all and only the objects with a certain intrinsic (/non-relational) nature? Or does an object with a particular intrinsic (/non-relational) nature count as red only in virtue of standing in certain relations - for example, only when it looks a certain way to a certain perceiver, or only in certain circumstances of observation? In this paper I shall argue for the view that color (...) properties are relational (henceforth, relationalism), and against the view that colors are not relational (henceforth, anti- or non-relationalism). (shrink)

Bertrand Russell introduced several novel ideas in his 1903 Principles of Mathematics that he later gave up and never went back to in his subsequent work. Two of these are the related notions of denoting concepts and classes as many. In this paper we reconstruct each of these notions in the framework of conceptual realism and connect them through a logic of names that encompasses both proper and common names, and among the latter, complex as well as simple common names. (...) Names, proper or common, and simple or complex, occur as parts of quantifier phrases, which in conceptual realism stand for referential concepts, i.e., cognitive capacities that inform our speech and mental acts with a referential nature and account for the intentionality, or directedness, of those acts. In Russell’s theory, quantifier phrases express denoting concepts (which do not include proper names). In conceptual realism, names, as well as predicates, can be nominalized and allowed to occur as "singular terms", i.e., as arguments of predicates. Occurring as a singular term, a name denotes, if it denotes at all, a class as many, where, as in Russell’s theory, a class as many of one object is identical with that one object, and a class as many of more than one object is a plurality, i.e., a plural object that we call a group. Also, as in Russell’s theory, there is no empty class as many. When nominalized, proper names function as "singular terms" just the way they do in so-called free logic. Leśniewski’s ontology, which is also called a logic of names can be completely interpreted within this conceptualist framework, and the well-known oddities of Leśniewski’s system are shown not to be odd at all when his system is so interpreted. Finally, we show how the pluralities, or groups, of the logic of classes as many can be used as the semantic basis of plural reference and predication. We explain in this way Russell’s "fundamental doctrine upon which all rests", i.e., "the doctrine that the subject of a proposition may be plural, and that such plural subjects are what is meant by classes [as many] which have more than one term" (Russell 1938, p. 517). (shrink)

To solve the referential sub-problem of negative existentials one must explain why we interpret uses of, e.g., ‘Sherlock Holmes doesn’t exist’ as saying something coherent and intuitively true, even though the speaker purports to refer to something. Pragmatic Meinongism solves this problem by allowing ‘does not exist’ to be pragmatically modulated to express an inclusive sense under which it can be satisfied by something. I establish three points in defense of pragmatic Meinongism: it is superior to Russell-inspired solutions; it is (...) supported by independent evidence of pragmatic modulation; and it requires no dubious ontological commitments. (shrink)

Strawson :96–118, 1964) argued that definite NPs trigger presuppositions as an aspect of their conventional meanings, and this semantic conception of presupposition triggers is incorporated into the binding theory of presuppositions. The phenomenon of presupposition denials, however, presents a problem for the semantic conception of presupposition triggers, for in such denials the alleged semantic presuppositions seem to be “cancelled” by a negation operator. Geurts :274–307, 1998; Presupposition and pronouns, 1999) attempts to solve this problem by utilizing the binding theory’s allowance (...) for local accommodation. Geurts’ proposal, however, is inadequate, primarily because Geurts formulates the binding theory within discourse representation theory, which makes no allowance for the illocutionary force of denial. Asher and Lascarides’ segmented discourse representation theory, however, has the resources to account for the illocutionary force of denial. Utilizing a version of SDRT I demonstrate that the “cancelling” of a presupposition by echoic negation in presupposition denials crucially depends upon the denial of information that is pragmatically communicated by accommodation. (shrink)

Paradigmatic uses of negative existentials such as ‘Vulcan does not exist’ are problematic because they present the interpreter with a pragmatic paradox: a speaker who uses such a sentence seems to be asserting something that is incompatible with what she presupposes. An adequate solution must therefore explain why we interpret paradigmatic uses of negative existentials as saying something true, even though such uses present us with a pragmatic paradox. I provide such an explanation by analyzing paradigmatic uses of negative existentials (...) as corrections of previous assertions that are judged to suffer from referential presupposition failure. I present the explanation within the framework of a simple version of segmented discourse representation theory. (shrink)

The most striking feature of Meinong's theory of intentionality is his thesis that every mental act has its reference‐object “beyond being and non being”. This theory seems, at first, to be a clear example of the so called object‐theory of intentionality, as it introduces special “postulated” entities in the target‐position of the mental act. Closer examination, however, reveals in Meinong's works important elements of the mediator‐theory. Meinong speaks of auxiliary incomplete objects situated “between” the subject and the object of reference (...) and “mediating” the intentional access to the reference‐object. Moreover, even if the object of reference is of the simple nominal form, the mediating structure involves essentially propositional entities . In the paper we attempt to give a set‐theoretical interpretation of Meinong's theory in the frame of which we could eventually do without the incomplete mediating objects. Yet, some general epistemological considerations suggest the indispensability of such incomplete mediating structures. (shrink)

The most striking feature of Meinong's theory of intentionality is his thesis that every mental act has its reference‐object “beyond being and non being”. This theory seems, at first, to be a clear example of the so called object‐theory of intentionality, as it introduces special “postulated” entities in the target‐position of the mental act. Closer examination, however, reveals in Meinong's works important elements of the mediator‐theory. Meinong speaks of auxiliary incomplete objects situated “between” the subject and the object of reference (...) and “mediating” the intentional access to the reference‐object. Moreover, even if the object of reference is of the simple nominal form, the mediating structure involves essentially propositional entities. In the paper we attempt to give a set‐theoretical interpretation of Meinong's theory in the frame of which we could eventually do without the incomplete mediating objects. Yet, some general epistemological considerations suggest the indispensability of such incomplete mediating structures. (shrink)

In Section 5 of his interesting article, Goldman suggests that the consideration of imaginary cases can be valuable in the analysis of our psychological concepts. In particular, he argues that we can imagine a system that is isomorphic to us under any functional description, but which lacks qualitative mental states, such as pains and color sensations. Whether or not such a being is empirically possible, it certainly seems to be logically possible, or conceptually coherent. Goldman argues from this possibility to (...) the conclusion that our concepts of qualitative mental states cannot be analyzed entirely in functional terms. (shrink)

Previous discussions of Robb’s work on space and time have offered a philosophical focus on causal interpretations of relativity theory or a historical focus on his use of non-Euclidean geometry, or else ignored altogether in discussions of relativity at Cambridge. In this paper I focus on how Robb’s work made contact with those same foundational developments in mathematics and with their applications. This contact with applications of new mathematical logic at Göttingen and Cambridge explains the transition from his electron research (...) to his treatment of relativity in 1911 and finally to the axiomatic presentation in 1914 in terms of postulates. At the heart of Robb’s physical optics was the model of the light cone. The model underwent a transition from a working mechanical model in the Maxwellian Cambridge sense of a pedagogical and research tool to the semantic model, in the logical, model-theoretic sense. Robb tracked this transition from the 19th- to the 20th-century conception with the earliest use of the term ‘model’ in the new sense. I place his cone models in a genealogy of similar models and use their evolution to track how Robb’s physical researches were informed by his interest in geometry, logic and the foundations of mathematics. (shrink)

The aim of this paper is to discuss the philosophical premises of Whitehead's definition of time in _The Concept of Nature and other works of the same period. Whitehead probably introduced this definition, which depends on what he calls the "method of extensive abstraction," in 1913, just after the publication of the _Principia Mathematica with Russell. He only published his results in 1919. However, Russell takes up the method, with slight modifications, after personal communication with Whitehead, as soon as 1914, (...) in _Our Knowledge of the External World. It is also carefully studied by G. Mead, in particular in _Philosophy of the Present, and by Merleau-Ponty, in his lectures at the Collège de France. (edited). (shrink)

According to Meinongianism, some objects do not exist but we can legitimately refer to and quantify over them. Moreover, Meinongianism standardly regards nonexistent objects as contributing to the truth-makers of sentences about nonexistent objects. Recently, Tim Crane has proposed a weak form of Meinongianism, a reductionism, which denies any contribution of nonexistent objects to truth-making. His reductionism claims that, even though we can truly talk about nonexistent objects by using singular terms and quantifiers about them, any truth about nonexistent objects (...) is reducible to some truths about existent objects. In this paper, we critically examine the reductionism casting some doubts on the reducibility of truths of sentences like ‘a winged pig is possible’ or ‘some winged pig does not exist’ into truths about existent objects. We also argue that the truth of such sentences can be explained by adopting a strong form of Meinongianism which admits contribution of nonexistent objects to the truth-making of such sentences. (shrink)

This essay reviews Theatre, Communication, Critical Realism (2010) by Tobin Nellhaus. It begins by outlining the objective of the book and proceeds to evaluate its central argument. The objective is to develop a theory of theatre founded on the premises of critical realism and thereby theoretically situate theatrical performance in its socio-cultural matrix. The argument is that critical realism is effective for developing a comprehensive account of theatrical performance because it has the capacity to reveal truths about the structure of (...) social reality (that correspond to those articulated by critical realism). In the second part of the review, employing the methods of conceptual analysis, I propose that Nellhaus’s thesis of ‘ontological doubling’ (which claims that performance doubles human agency) is undermined by certain epistemological presuppositions regarding the ontology of fictional characters. (shrink)

The discussion about the Raven Paradox is ever-renewing: after nearly 70 years, many authors propose from time to time new solutions, and many authors state that these solutions are unsatisfactory. It is worthy to be carefully noted that though most arguments in favor or against the paradox are based on the notion of “probability” and on the application of Bayes’ law, not one of them makes use of the Kolmogorov axiomatic theory of probability and on the subsequent notion of “random (...) variable”. This seems to be due to a preference for the purely logical interpretation of the notion of “probability” which makes it possible to assign a probability value to propositions expressing natural (universal) laws. This paper aims at presenting an attempt to contribute a solution to the paradox by the proposal of a different way to express universal natural laws and by the use of a language which does not allow one to apply probability to universal statements. (shrink)

Some forms of analytic reconstructivism take natural language (and common sense at large) to be ontologically opaque: ordinary sentences must be suitably rewritten or paraphrased before questions of ontological commitment may be raised. Other forms of reconstructivism take the commitment of ordinary language at face value, but regard it as metaphysically misleading: common-sense objects exist, but they are not what we normally think they are. This paper is an attempt to clarify and critically assess some common limits of these two (...) reconstructivist strategies. (shrink)

Whether or not the particular view of generic sentences articulated above is correct, it is quite clear that the study of generic terms and the truth-conditions of generic sentences touches on the representation of other parts of the grammar, as well as on how the world around us is reflected in language. I would hope that the problems mentioned above will highlight the relevance of semantic analysis to other apparently distinct questions, and focus attention on the relevance of linguistic problems (...) to other already established areas of inquiry. (shrink)

In “On Referring” Peter Strawson pointed out that incomplete descriptions pose a problem for Russell’s analysis of definite descriptions. Howard Wettstein and Michael Devitt appealed to incomplete descriptions to argue, first, that Russell’s analysis of definite descriptions fails, and second, that Donnellan’s referential/attributive distinction has semantic bite. Stephen Neale has defended Russell’s analysis of definite descriptions against Wettstein’s and Devitt’s objections. In this paper, my aim is twofold. First, I rebut Neale’s objections to Wettstein’s and Devitt’s argument and argue that (...) Neale’s attempt to provide an account of referential descriptions within a Russellian framework fails. Second, contra Devitt and Wettstein, I argue that the problem posed by incomplete descriptions shows that Donnellan was right in believing that referential descriptions refer even if the definite description fits nothing. (shrink)

E. E. Constance Jones was one of the first women to study philosophy at the University of Cambridge. This paper focuses on her claim from her first major work, Elements of Logic as a Science of Propositions, that each thing has a unique existence. Jones’s claim follows from claims about tropes and haecceities; but, I suggest, it’s not claims about tropes and haecceities that lead her to accept it. Rather, I suggest, it’s claims about what she calls the denomination of (...) names and the quantitiveness of things that lead her to accept it. Her claim that each thing has a unique existence thus fits within her more general views in Elements of Logic. (shrink)

Some descriptivists reply to the modal argument by appealing to scope ambiguities. In this paper, we argue that those replies don’t work in the case of apparently empty names like ‘Sherlock Holmes’.

Philosophers have justified extant theories of singular thought in at least three ways: they have invoked wide-ranging theories motivated by data from other philosophical areas, they have elicited direct intuitions about which thoughts are singular, and they have subjected propositional attitude reports to tests such as Russellian substitution and Quinean exportation. In these ways, however, we haven’t yet been able to tell what it takes to have singular thoughts, nor have we been able to tell which of our thoughts they (...) are. I propose, therefore, a methodological contribution, a new source of data about singular thought. We can tell whether a thought is singular if we ask what we can coherently deny at the same time at which we agree with the thought. When we agree with a thought that is general, we cannot coherently deny about the thought’s subject a certain description, the one that occurs in the thought’s subject position. To show how to use this new data source, I develop a linguistic method for testing whether a speaker expresses a singular or a general thought. (shrink)

The causal theory of reference (CTR) provides a well-articulated and widely-accepted account of the reference relation. On CTR the reference of a term is fixed by whatever property causally regulates the competent use of that term. CTR poses a metaethical challenge to realists by demanding an account of the properties that regulate the competent use of normative predicates. CTR might pose a challenge to ethical theorists as well. Long argues that CTR entails the falsity of any normative ethical theory. First-order (...) theory attempts to specify what purely descriptive property is a fundamental right-making property (FRM). Long contends that the notion that the FRM causally regulates competent use of the predicate ‘right’ leads to a reductio. The failure of this argument is nevertheless instructive concerning a point at which ethics and metaethics overlap. (shrink)

Recently, there has been a revival in taking empirical magnitudes seriously. Weights, heights, velocities and the like have been accepted as abstract entities in their own right rather than just equivalence classes of objects. The aim of my paper is to show that this revival should include value magnitudes. If we posit such magnitudes, important value comparisons can be easily explained; it becomes easier to satisfy the axioms for measurement of value; goodness, badness, and neutrality can be given univocal definitions; (...) value aggregation can be given a non-mathematical understanding which allows for Moorean organic unities. Of course, this does not come for free. One has to accept a rich ontology of abstract value magnitudes, but, to quote David Lewis, ‘The price is right; the benefits in theoretical unity and economy are well worth the entities.’. (shrink)

Minimalists, such as Paul Horwich, claim that the notions of truth, reference and satisfaction are exhausted by some very simple schemes. Unfortunately, there are subtle difficulties with treating these as schemes, in the ordinary sense. So instead, minimalists regard them as illustrating one-place functions, into which we can input propositions (when considering truth) or propositional constituents (when considering reference and satisfaction). However, Bertrand Russell's Gray's Elegy argument teaches us some important lessons about propositions and propositional constituents. When applied to minimalism, (...) these lessons show us why we should abandon it. (shrink)

This article introduces the first English translation of one of Tanabe’s early essays on metaphysics. It questions the relation of the universal to the particular in context of logic, phenomenology, Neo-Kantian epistemology, and classical metaphysics. Tanabe provides his reflections on the nature of the concept of universality and its constitutive relation to phenomenal particulars through critical analyses of the issue as it is discussed across various schools of philosophy including: British Empiricism, the Marburg School, the Austrian School, the Kyoto School, (...) and Platonism. In this essay, Tanabe reveals his ability to think metaphysically the ground for the possibility of reasoning and dares to voice his own thought beyond references to the most prominent thinkers of his time from distinct intellectual traditions in both the east and the west. This essay, therefore, demonstrates that his strong tendency to move beyond the received epistemology and phenomenology of the European intellectual tradition to metaphysics was already present in the early days of his academic life and thereby marks a more general contribution of the Kyoto School of Philosophy to distinct European schools of thought in the early twentieth century. (shrink)

The author puts forth an approach to propositional attitude contexts based upon the view that one does not have beliefs of ordinary extensional entitiessimpliciter. Rather, one has beliefs of such entities as presented in various manners. Roughly, these are treated as beliefs of ordered pairs — the first member of which is the ordinary extensional entity and the second member of which is a predicate that it satisfies. Such an approach has no difficulties with problems involving identity, such as of (...) The Morning Star and The Evening Star (section 1). Given the second members of the pairs, the modes of presentation, it is quite natural to allow exportation everywhere. There is no need for essentialism. (One also can have non-essentialistic modal logic if one grants analyticity or the like.) (section 2). Given that the second member of the pair need only be one that is satisfied by the entity that is the first member (and need not be specificative), the method has no difficulties when one is concerned only with discriminations (and not specifications) (section 3). When this method is combined with the Frege-Carnap method of descriptions, fictional entities can be accommodated; Goodman''s unicorn-picture and the like can be brought within a Tarskian semantics; and Geach''s difficulties with intentional identity appear to be handled (section 4). Given the author''s ordered pair construals, there appears to be no additional need for notional construals; i.e., the author''s one unified method appears satisfactory for dealing with both traditionalde re (relational) andde dicto (notional) construals. The Paradox of the Knower and the like do not appear formulatable against the author''s approach. (section 5). The author also argues against the basic principles behind the Church-Langford translation argument (section 6). (shrink)

This paper argues for a particular semantic decomposition of morphological definiteness. I propose that the meaning of ‘the’ comprises two distinct compositional operations. The first builds a set of witnesses that satisfy the restricting noun phrase. The second tests this set for uniqueness. The motivation for decomposing the denotation of the definite determiner in this way comes from split-scope intervention effects. The two components—the selection of witnesses on the one hand and the counting of witnesses on the other—may take effect (...) at different points in the composition of a constituent, and this has non-trivial semantic consequences when other operators inside the DP take action in between them. In particular, I analyze well-known examples of mutually recursive definite descriptions like ‘the rabbit in the hat’ as examples of definites whose referent-introducing and referent-testing components are interleaved rather than nested. I further demonstrate that this picture leads to a new theory of relative superlative descriptions like ‘the kid who climbed the highest tree’, which explains the previously mysterious role of the definite determiner in licensing such readings. (shrink)

In contrast to Constructivist Views, which construe perceptual cognition as an essentially reconstructive process, this article recommends the Deictic View, which grounds perception in perceptual-demonstrative reference and the use of deictic tracking strategies for acquiring and updating knowledge about individuals. The view raises the problem of how sensory-motor tracking connects to epistemic and integrated forms of tracking. To study the strategies used to solve this problem, we report a study of the ability to track distal individuals when only their directions (...) can be perceived and not their locations. We introduce a new experimental paradigm named the 'Modified Traveling Salesman Problem' (MTSP), which requires subjects to visit n invisible targets in a 2D display once each. Surprisingly, subjects are competent at this task for up to 10 targets. We consider two types of tracking strategies that subjects might use: 'location-based' strategies and 'deictic direction-based' strategies. A number of observations suggest that subjects used the latter, at least for larger numbers of targets. We hypothesize that subjects used perceptual-demonstrative reference and deictic strategies (i) to perform the sensory-motor tracking of directional segments, (ii) to bind the segments with their updated status in the task, and (iii) to perform the epistemic tracking of invisible targets by means of perception-based inferences. (shrink)

Lampert and Baumgartner (2010) critically discuss accounts of adequate formalization focusing on my analysis in (Brun 2004). There, I investigated three types of criteria of adequacy (matching truth conditions or inferential role, corresponding syntactical surface and systematicity) and argued that they ultimately call for a procedure of formalization. Although Lampert and Baumgartner have a point about matching truth conditions, their arguments target a truncated version of my account. They ignore all aspects of systematicity which make their counter-example unconvincing.

Russell's new theory of denoting phrases introduced in "On Denoting" in Mind 1905 is now a paradigm of analytic philosophy. The main argument for Russell's new theory is the so-called 'Gray's Elegy' argument, which purports to show that the theory of denoting concepts promoted by Russell in the 1903 Principles of Mathematics is incoherent. The 'Gray's Elegy' argument rests on the premise that if a denoting concept occurs in a proposition, then the proposition is not about the concept. I argue (...) that the premise is false. The 'Gray's Elegy' argument does not exhaust Russell's ammunition against the theory of denoting concepts. Another reason Russell rejects the theory is, as he says, that it cannot provide an adequate account of non-uniquely denoting concepts. In the last section of the paper, I argue that even though Russell was right in thinking that the theory of denoting concepts cannot provide an adequate account of non-uniquely denoting concepts, Russell's new theory does not succeed in eliminating the occurrence of all denoting concepts, as it requires a commitment to the existence of variables that indirectly denote their values. However, the view that variables are denoting concepts is unproblematic once the 'Gray's Elegy' argument is blocked. (shrink)

Attitude reports are reports about people’s states of mind. They are reports about what people think, believe, know, know a priori, imagine, hate, wish, fear, and the like. So, for example, I might report that s knows p, or that she imagines p, or that she hates p, where p specifies the content to which s is purportedly related. One lively current debate centers around the question of what sort of specification is involved when such attitude reports are successful. Some (...) hold that it is specification of the precise content of a mental state; others hold that it is specification of the content of a mental state only relative to a mode of presentation; yet others hold that it is merely a description or characterization of the content of a mental state. After providing a brief introduction to the traditional debate on attitude reports, this entry argues that for certain kinds of knowledge reports and for so-called de re attitude reports, descriptive theories emerge as the most plausible. The entry concludes with a discussion of how the characterizing relation between attitude reports and mental states might be construed. (shrink)

Scott Soames has recently argued that traditional accounts of propositions as n-tuples or sets of objects and properties or functions from worlds to extensions cannot adequately explain how these abstract entities come to represent the world. Soames’ new cognitive theory solves this problem by taking propositions to be derived from agents representing the world to be a certain way. Agents represent the world to be a certain way, for example, when they engage in the cognitive act of predicating, or cognizing, (...) an act that takes place during cognitive events, such as perceiving, believing, judging and asserting. On the cognitive theory, propositions just are act types involving the act of predicating and certain other mental operations. This theory, Soames argues, solves not only the problem of how propositions come to represent but also a number of other difficulties for traditional theories, including the problem of de se propositions and the problems of accounting for how agents are capable of grasping propositions and how they come to stand in the relation of expression to sentences. I argue here that Soames’ particular version of the cognitive theory makes two problematic assumptions about cognitive operations and the contents of proper names. I then briefly examine what can count as evidence for the nature of the constituents of the cognitive operation types that produce propositions and argue that the common nature of cognitive operations and what they operate on ought to be determined empirically in cross-disciplinary work. I conclude by offering a semantics for cognitive act types that accommodates one type of empirical evidence. (shrink)

This paper has a negative and a positive claim. The negative claim is that the Frege-Russell account of existence as a higher-order predicate is mistaken and should be abandoned, even with respect to general statements of existence such as “Flying mammals exist” (where statements of this sort are supposed to be best accommodated by the account). The Frege-Russell view seems to be supported by two ideas. First, the idea that existence is entirely expressed by the existential quantifier of standard predicate (...) logic. Second, the idea that the existential quantifier is a higher-order predicate, a predicate of predicates, not of individuals. I think that both ideas are wrong but will focus on the latter. By construing prima facie first-order statements such as “Flying Mammals exist” as higher-order predications such as “The Fregean Concept Flying Mammal maps at least one individual onto the True”, the Frege-Russell view commits one - merely on the basis of the meaning it assigns to the existence predicate – to abstract objects such as concepts (Gottlob Frege), or propositional functions (Bertrand Russell), or classes (Rudolf Carnap), or properties, kinds, and so on. This cannot be right, I think. The positive claim of the present paper is that, at least in the context of first-order discourse, the existence predicate is just what it seems to be: a bona fide first-order predicate (pace Kant, Hume, Frege, Russell and others). Three important ideas about existence are shared with the Frege-Russell conception of existence, though. (1) Being and existence are one and the same thing: there is no difference between “Unicorns are not”, or “There are no unicorns”, and “Unicorns do not exist”, or “There exist no unicorns”. (2) To be is to be the value of a bound variable, to belong to a domain of quantification (Willard Quine). (3) Anti-Meinongianism, the idea that there are no non-existent objects (Russell). However, we diverge from the Frege-Russell tradition with respect to the following claim. (4) The best concept of existence, in the sense of the one that is best understood and best enables us to formulate ontological disputes, is a purely logical first-level concept defined in terms of existential quantification and identity. First-order statements of existence and non-existence like “Flying Mammals exist” and “Unicorns do not exist” are accordingly taken at face value and analyzed in terms of a logical first-order predicate of existence, the predicate “is (identical to) something”. Reasons are given to prefer this notion of existence to other first-order non-logical notions that have been proposed in the literature, notions characterized in terms of predicates such as “is in space-time”, “is concrete”, “is causally efficacious”, “is actual”, “is real”, etc. (shrink)

This paper presents a number of objections to Jeffrey King's quantificational theory of complex demonstratives. Some of these objections have to do with modality, whereas others concern attitude ascriptions. Various possible replies are considered. The debate between quantificational theorists and direct reference theorists over complex demonstratives is compared with recent debates concerning definite descriptions.

Introductory Note to Volume 1 of Disputatio.