Natural languages generally distinguishes among different existence predicates for different types of entities, such as English 'exist', 'occur', and 'obtain'. The paper gives an in-depth discussion and analysis of a range of existence predicates in natural language within the general project of descriptive metaphysics, or more specifically ‘natural language ontology’.

Identity, existence, predication, necessity, and truth are fundamental philosophical concerns. Colin McGinn treats them both philosophically and logically, aiming for maximum clarity and minimum pointless formalism. He contends that there are real logical properties that challenge naturalistic metaphysical outlooks. These concepts are not definable, though we can say a good deal about how they work. The aim of Logical Properties is to bring philosophy back to philosophical logic.

'There is much food for thought in McGinn's discussions and each chapter is rich with a series of considerations for thinking that the currently received views on the various topics have some serious difficulties that need confronting... For those interested in metaphysics and the philosophy of logic, this book will stimulate much further thought' -Mind 'The sweep of the book is broad and the pace is brisk... There is much material here to provide the basis for many a deep philosophical (...) discussion' -Mind 'Lucid and provocative little book... clear, direct and well argued' -Times Higher Education SupplementIdentity, existence, predication, necessity, and truth are fundamental philosophical concerns. Colin McGinn treats them both philosophically and logically, aiming for maximum clarity and minimum pointless formalism. He contends that there are real logical properties that challenge naturalistic metaphysical outlooks. These concepts are not definable, though we can say a good deal about how they work. The aim of Logical Properties is to bring philosophy back to philosophical logic. (shrink)

Kant said that existence is not a predicate and Russell agreed, arguing that a sentence such as ‘The king of France exists’, which seems to attribute existence to the king of France, really has a logical form that is not reflected in the surface structure of the sentence at all. While the surface form of the sentence consists of a subject and a predicate, the underlying logical form, according to Russell, is the formula given in. This (...) formula obviously has no subjectpredicate form and in fact has no single constituent that corresponds to the verb phrase ‘exists’ in the surface sentence. ∃x∀y The importance of Russell’s analysis becomes clear when we consider ‘The king of France does not exist’. If this sentence would attribute non-existence to the king it should entail that there is someone who does not exist, just as ‘Mary doesn’t like bananas’ entails that there is someone who doesn’t like bananas. Thus the idea that all sentences have subject-predicate form has led some philosophers to the view that there are objects that lack existence. This embarrassing position can be avoided once Russell’s analysis is accepted: if ‘The king of France does not exist’ is formalised as the negation of formula, no unwanted consequences follow. (shrink)

Identity, existence, predication, necessity, and truth are fundamental philosophical concerns. Colin McGinn treats them both philosophically and logically, aiming for maximum clarity and minimum pointless formalism. He contends that there are real logical properties that challenge naturalistic metaphysical outlooks. These concepts are not definable, though we can say a good deal about how they work. The aim of Logical Properties is to bring philosophy back to philosophical logic.

In this paper I shall examine the bearing of the relationship between the concepts of existence and predication upon Anselm’s ontological argument.

The ontological argument fails because of an operator order switch between (1) “necessarily there is an perfect being” and (2) “there is a being which necessarily is perfect”. Here (1) is trivially true logically but (2) problematic. Since Kant's criticisms were directed at the notion of existence, not at the step from (1) to (2), they are misplaced. They are also wrong, because existence can be a predicate. Moreover, Kant did not anticipate Frege's claim that “is” is (...) ambiguous between existence, predication, identity, and class‐inclusion. To restore the ontological argument, an extra premise is needed to the effect that it is known who the existentially perfect being is. The question is raised whether Kant could have meant the failure of this extra premise by his thesis that existence is not a real predicate. (shrink)

In this paper, a paradox is shown to arise in the context of classical logic from prima facie highly plausible assumptions for the existence predicate as applied to definite descriptions. There are several possibilities to evade the paradox; all involve modifications in the principles of first-order logic with identity, existence, and definite descriptions; some stay within classical logic, others leave it. The merits of the various "ways out" are compared. The most attractive "way out," it is argued, (...) stays within classical logic, except for the fact that it involves a new logical truth: "There is at least one non-existent object." But this "exit" will certainly not be to everyone's taste and liking. Thus, the paradox defies complete resolution. (shrink)

We introduce Gentzen calculi for intuitionistic logic extended with an existence predicate. Such a logic was first introduced by Dana Scott, who provided a proof system for it in Hilbert style. We prove that the Gentzen calculus has cut elimination in so far that all cuts can be restricted to very simple ones. Applications of this logic to Skolemization, truth value logics and linear frames are also discussed.

The aim of this short book is to discuss the traditional topics of philosophical logic without the “formalistic fetishism and scholasticism” that McGinn associates with recent work in the field. The writing is indeed crisp, engaging, and free of formalisms. The book consists of five separate essays—one each on identity, existence, predication, necessity, and truth—loosely united by the general theme that these “logical properties” are real and irreducible. “These concepts,” McGinn says, “form a conceptual bedrock; they stand, as it (...) were, underneath all our other concepts. They have no analysis”. (shrink)

The most common philosophical view about the notion of existence is that it is a second-order property or existential quantification. A less common view is that existence is a (first-order) property of 'existent' as opposed to 'nonexistent' (past or merely intentional) objects. An even less common view is that existence divides into different 'modes of being' for different sorts of entities. In this paper I will take a closer look at the semantic behavior of existence predicates (...) in natural language, such as exist, occur, and obtain, arguing that existence predicates in natural language support the two less common philosophical views. I will develop explicit analyses of existence predicates in their time-relative and space-relative uses which will explain why they apply to some kinds of entities, but not others. (shrink)

In previous work by Baaz and Iemhoff, a Gentzen calculus for intuitionistic logic with existence predicate is presented that satisfies partial cut elimination and Craig's interpolation property; it is also conjectured that interpolation fails for the implication-free fragment. In this paper an equivalent calculus is introduced that satisfies full cut elimination and allows a direct proof of interpolation via Maehara's lemma. In this way, it is possible to obtain much simpler interpolants and to better understand and overcome the (...) failure of interpolation for the implication-free fragment. (shrink)

In the article we study the existence predicate \(\varepsilon\) in the context of semantics for first-order modal logic. For a formula \(\varphi\) we define \(\varphi^{\varepsilon}\) - the so called existence relativization. We point to a gap in the work of Fitting and Mendelsohn concerning the relationship between the truth of \(\varphi\) and \(\varphi^{\varepsilon}\) in classes of varying- and constant-domain models. We introduce operations on models which allow us to fill the gap and provide a more general perspective (...) on the issue. As a result we obtain a series of theorems describing the logical connection between the notion of truth of a formula with the existence predicate in constant-domain models and the notion of truth of a formula without the existence predicate in varying-domain models. (shrink)

Each of the topics mentioned in the title has its own chapter. The unifying theme is McGinn’s conception of naive common sense views of identity, existence, predication, necessity, and truth, which are argued for as being correct. McGinn thinks they should replace entrenched rival treatments of these subjects. However, some of the views McGinn takes as naive seem far from naive or in common use to this reader. This is a technical work in philosophical logic, not in the sense (...) that it is strewn with technical symbols of formal logic. It takes up and discusses topics in a sophisticated way suitable for those working in the area and is not intended primarily for novices in the subject. Having said that, it is well written and clear so that there is much that would be rewarding to nonspecialists who wish to come to the subject. There is much in the way of close and interesting argumentation. (shrink)

In this paper, the author examines Leibniz inconsistent treatments of the existence predicate in his formulations of the ontological argument and elsewhere. It is shown that, contrary to expectations, Leibniz at times adumbrates insights often attributed to Kant and Frege.

Are there nonexistent objects? Can we make sense of objects having properties without thinking that there are nonexistent objects? Is existence a predicate? Can we make sense of necessarily existing objects depending on God? Tackling these central questions, Matthew Davidson explores the metaphysics of existence and nonexistence. -/- He presents an extended argument for independence actualism, a previously undefended view that objects can have properties in worlds and at times at which they do not exist. Among other (...) unique points of discussion, Davidson considers the nature of actualism, arguments for and against serious actualism, the semantics of “exists” as a predicate, the merits of different sorts of Meinongian theories, and different views on which God might ground the existence of necessarily existing abstracta. The book offers a Lewisian-style argument for adopting independence actualism in that the view may be used to solve many problems in metaphysics, philosophy of language and philosophy of religion. (shrink)

For various reasons several authors have enriched classical first order syntax by adding a predicate abstraction operator. “Conservatives” have done so without disturbing the syntax of the formal quantifiers but “revisionists” have argued that predicate abstraction motivates the universal quantifier’s re-classification from an expression that combines with a variable to yield a sentence from a sentence, to an expression that combines with a one-place predicate to yield a sentence. My main aim is to advance the cause of (...) predicate abstraction while cautioning against revisionism. In so doing, however, I shall pursue a secondary aim by conveying mixed blessings to those who hold the view that in the logical sense of “existence” some existing object is such as to exist contingently. Advocates of this view must concede Williamson’s recent contention that the domain of unrestricted objectual quantification could not have been narrower than it is actually, but predicate abstraction affords them some hope of accommodating this concession. (shrink)

One of the characteristic features of contemporary logic is that it incorporates the Frege‐Russell thesis according to which verbs for being are multiply ambiguous. This thesis was not accepted before the nineteenth century. In Aristotle existence could not serve alone as a predicate term. However, it could be a part of the force of the predicate term, depending on the context. For Kant existence could not even be a part of the force of the predicate (...) term. Hence, after Kant, existence was left homeless. It found a home in the algebra of logic in which the operators corresponding to universal and particular judgments were treated as duals, and universal judgments were taken to be relative to some universe of discourse. Because of the duality, existential quantifier expressions came to express existence. The orphaned notion of existence thus found a new home in the existential quantifier. (shrink)

The question ''Was 'existence' ever a predicate?" in a way already suggests its own answer, that this is really the wrong question to ask, because 'existence' has always been a predicate. Even those, such as Kant, who supposedly opposed this view, in fact held it. They merely denied that 'existence' is a "normal" first-order predicate. Not only Kant, but also Bolzano, Frege and Russell claimed that it is a second-order predicate. There is substantive (...) disagreement between Kant and Bolzano on the one hand and Frege and Russell on the other over two issues: the former claim that this second-order predicate apphes to no concept analytically and that it can be properly ascribed to a singular concept, whereas the latter deny both of these claims. (shrink)

The question ''Was 'existence' ever a predicate?" in a way already suggests its own answer, that this is really the wrong question to ask, because 'existence' has always been a predicate. Even those, such as Kant, who supposedly opposed this view, in fact held it. They merely denied that 'existence' is a "normal" first-order predicate. Not only Kant, but also Bolzano, Frege and Russell claimed that it is a second-order predicate. There is substantive (...) disagreement between Kant and Bolzano on the one hand and Frege and Russell on the other over two issues: the former claim that this second-order predicate apphes to no concept analytically and that it can be properly ascribed to a singular concept, whereas the latter deny both of these claims. (shrink)

Mirdamad, a prominent philosopher of the Late Medieval Period active in the Islamic world, regards existence as nothing in reality. In this paper, I employ methods devised by contemporary analytic...

The question ''Was 'existence' ever a predicate?" in a way already suggests its own answer, that this is really the wrong question to ask, because 'existence' has always been a predicate. Even those, such as Kant, who supposedly opposed this view, in fact held it. They merely denied that 'existence' is a "normal" first-order predicate. Not only Kant, but also Bolzano, Frege and Russell claimed that it is a second-order predicate. There is substantive (...) disagreement between Kant and Bolzano on the one hand and Frege and Russell on the other over two issues: the former claim that this second-order predicate apphes to no concept analytically and that it can be properly ascribed to a singular concept, whereas the latter deny both of these claims. (shrink)

This paper is a continuation of a long line of footnotes to discussions of the ontological argument which began with Ayer, Wisdom, and Broad, and then progressed through Nakhnikian, Salmon, and Kiteley. In this series, one of the major theses proposed by the first trio and queried by the second is that, if existence is indeed a predicate, then all positive existential statements become analytic and all negative existentials self-contradictory. I should like to question this claim from yet (...) another perspective than that of the more recent writers, viz., that of essential predication. Since it is the so-called second version of the proof which is allegedly more cogent, such a perspective is after all much closer to the core of the ontological argument. Though the remarks here are presented only with regard to positive existentials, they are nevertheless applicable to negative existentials, mutatis mutandis, as well. (shrink)

Two connected themes have been at the core of the old perplexity regarding thinking and speaking about non-existent objects. One involves a question of reference. Can we refer to non-existent objects without, thereby, recognizing, in some sense, non-existent entities as objects of reference? The other involves a question about existence. Is existence a property representable by a predicate in a logically adequate symbohsm? It is argued (1) that existence is not to be construed as an attribute (...) represented by a predicate, (2) that nonnaming names introduce problems, not solutions to problems, (3) that purported properties such as self-identical are specious, and (4) that the Russell property is also seen to be specious by our consideration of predication. (shrink)

Two connected themes have been at the core of the old perplexity regarding thinking and speaking about non-existent objects. One involves a question of reference. Can we refer to non-existent objects without, thereby, recognizing, in some sense, non-existent entities as objects of reference? The other involves a question about existence. Is existence a property representable by a predicate in a logically adequate symbohsm? It is argued (1) that existence is not to be construed as an attribute (...) represented by a predicate, (2) that nonnaming names introduce problems, not solutions to problems, (3) that purported properties such as self-identical are specious, and (4) that the Russell property is also seen to be specious by our consideration of predication. (shrink)

Two connected themes have been at the core of the old perplexity regarding thinking and speaking about non-existent objects. One involves a question of reference. Can we refer to non-existent objects without, thereby, recognizing, in some sense, non-existent entities as objects of reference? The other involves a question about existence. Is existence a property representable by a predicate in a logically adequate symbohsm? It is argued (1) that existence is not to be construed as an attribute (...) represented by a predicate, (2) that nonnaming names introduce problems, not solutions to problems, (3) that purported properties such as self-identical are specious, and (4) that the Russell property is also seen to be specious by our consideration of predication. (shrink)

In a previous note to this journal a hope was expressed that some further footnotes to the theory of essential predication regarding the ontological argument would follow. This paper purports to fulfill that hope in part.