This paper first argues that we can bring out a tension between the following three popular doctrines: (i) the canonical reduction of metaphysical modality to essence, due to Fine, (ii) contingentism, which says that possibly something could have failed to be something, and (iii) the doctrine that metaphysical modality obeys the modal logic S5. After presenting two such arguments (one from the theorems of S4 and another from the theorems of B), I turn to exploring various conclusions we might draw (...) in light of these results, and argue that none comes cost free. In the course of laying out possible responses to my arguments, we'll have a chance to evaluate various doctrines about the interplay between contingency and essence, as well as develop some alternative reductions of metaphysical modality to essence. I don't decisively come down in favor of one response over the others, though I say some things that point towards the conclusion that essence has no role to play in reducing metaphysical modality. (shrink)

Four accounts, three of them Kantian, of true sentences of the form “ exists” are contrasted. Russell’s theory that such sentences are meaningless is contrasted with two other Kantian theories that are analogous to one another: Frege’s semantic-ascent theory and the Frege-inspired ungerade (indirect, “oblique”) theory. Frege’s objection to the semantic-ascent account of identity is applied, ironically with equal force, against his account of existence. A second argument favoring the ungerade theory is offered. The argument is then refuted through (...) an application of a general strategy suggested by Kripke. A fourth theory, the deeply anti-Kantian existence-as-predicate theory, fully accommodates these results. (shrink)

We give some arguments for why the Mathematical Universe Hypothesis (MUH) might be too restrictive in its assertions of what can exist, and that the universe/multiverse might be formed by more than what can be expressed mathematically. In particular, we show a thought experiment which indicates that the principle of materialism in general is an inadequate hypothesis of how consciousness appears. Instead we propose a novel approach to solving the problem of consciousness, which is to hypothesize that each universe might (...) have different laws of consciousness, just as they might have different laws of physics. We also show that MUH, without such consciousness laws, and without any other modification, leads to complete chaos for the observers in the multiverse, and therefore cannot hold as it is. We then go on to propose another theory of existence, which does not seem to lead to complete chaos. This theory hypothesizes that the multiverse is the consequence of what we might call the Logic of Everything (LoE) continuously deducing new truths about itself. Lastly, we briefly discuss what fundamental ethics can be derived from this theory, and others like it. (shrink)

The currently standard philosophical conception of existence makes a connection between three things: certain ways of talking about existence and being in natural language; certain natural language idioms of quantification; and the formal representation of these in logical languages. Thus a claim like ‘Prime numbers exist’ is treated as equivalent to ‘There is at least one prime number’ and this is in turn equivalent to ‘Some thing is a prime number’. The verb ‘exist’, the verb phrase ‘there is’ (...) and the quantifier ‘some’ are treated as all playing similar roles, and these roles are made explicit in the standard common formalization of all three sentences by a single formula of first-order logic: ‘(∃ x )[P( x ) & N( x )]’, where ‘P( x )’ abbreviates ‘ x is prime’ and ‘N( x )’ abbreviates ‘ x is a number’. The logical quantifier ‘∃’ accordingly symbolizes in context the role played by the English words ‘exists’, ‘some’ and ‘there is’. (shrink)

Considering whether existence, i.e., being, is a thing might seem like the height of aimless metaphysical chin stroking. However, the issue—specifically, whether existence is a quality—is significant, bearing on how reality, this all-encompassing totality, is. On one view, reality at large is ontologically fixed, the sum total of things does not (and cannot) vary; on another view, reality is ontologically transient, the sum total of things varies. I first show that if existence is a thing, that reality (...) is ontologically fixed follows. So I consider whether existence is indeed a thing. I demonstrate that “it” could not be: existence is no existent. I then discuss what it is to exist, given existence is nothing at all. I maintain there are no grounds for the view that reality is ontologically fixed. I argue, from the irrefragable basis of temporal differentiation—the world going from thus…to as so—that reality is ontologically transient. I consider some objections to ontological transience and conclude by considering the key to understanding the overall structure in reality and what it reveals about how very inconstant all this is. (shrink)

A correct observation to the effect that a does not exist, where ‘a’ is a singular term, could be true on any of a variety of grounds. Typically, a true, singular negative existential is true on the unproblematic ground that the subject term ‘a’ designates something that does not presently exist. More interesting philosophically is a singular, negative existential statement in which the subject term ‘a’ designates nothing at all. Both of these contrast sharply with a singular, negative existential in (...) which the subject term is a name from fiction. I argue that such singular, negative existential statements are false. My account of fictional characters differs significantly from Kripke’s. It is shown that an objection to my account rests on a serious misunderstanding. Finally, a crucial aspect of the account is emphasized. (shrink)

Timothy Williamson has argued for the radical conclusion that everything necessarily exists. In this paper, I assume that the conclusion of Williamson’s argument is more incredible than the denial of his premises. Under the assumption that Williamson is mistaken, I argue for the claim that there are some structured propositions which have constituents that might not have existed. If those constituents had not existed, then the propositions would have had an unfilled role; they would have been gappy. This gappy propositions (...) view allows for a plausible response to Williamson’s argument. Additionally, a slight variant of the gappy propositions view allows for plausible defense of Linguistic Ersatzism from the problem of contingent non-existents (also known as the problem of aliens). (shrink)

Existence value refers to the value humans ascribe to the existence of something, regard­less of whether it is or will be of any particular use to them. This existence value based on preference satisfaction should be taken into account in evaluating activities that come with a risk of species extinction. There are two main objections. The first is that on the preference satisfaction interpretation, the concept lacks moral importance because satisfying people’s preferences may involve no good or (...) well-being for them. However, existence value can be based on a restricted version of the preference satisfaction theory, which is not vulnerable to the skeptical arguments about the link between preference satisfaction and well-being. The second objection is that even if preference satisfaction can be linked to well-being, understanding existence value in terms of individual preference satisfaction is incoherent, because existence value reflects disinterested preferences that involve no benefits to the individual. However, the fact that existence value may involve disinterested preferences does not threaten the coherence of the concept, but suggests that it does not fit smoothly into the “utilitarian” or “welfarist” framework it is commonly considered within. A pluralistic normative approach based on prima facie duties can be an alternative to standard utilitarian-style approaches for considering existence value in concrete cases involving a risk of species extinction, such as through deep sea mining. (shrink)

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’.

This book is both an introduction to and a research work on Meinongianism. “Meinongianism” is taken here, in accordance with the common philosophical jargon, as a general label for a set of theories of existence – probably the most basic notion of ontology. As an introduction, the book provides the first comprehensive survey and guide to Meinongianism and non-standard theories of existence in all their main forms. As a research work, the book exposes and develops the most up-to-date (...) Meinongian theory (called modal Meinongianism), applies it to specific fields, and discusses its open problems. Part I of the book provides a historical introduction to, and critical discussion of, the dominant philosophical view of existence: the “Kantian-Fregean-Quinean” perspective. Part II is the full-fledged introduction to the Meinongian theories of existence as a real property of individuals: after starting with the so-called naïve Meinongian conception and its problems, it provides a self-contained presentation of the main neo-Meinongian proposals, and a detailed discussion of their strengths and weaknesses. Part III develops a specific neo-Meinongian theory of existence employing a model-theoretic semantic framework. It discusses its application to the ontology and semantics of fictional objects, and its open problems. The methodology of the book follows the most recent trends in analytic ontology. In particular, the meta-ontological point of view is largely privileged. (shrink)

Why is there something rather than nothing? This is probably the most profound question that can be asked. In this paper, a rather unexpected simple solution is provided. The solution comes from analysing the truth value of the proposition “I exist.” It will be shown that this proposition is always true, so our existence is a logical necessity. Speculations about the implications over the universe as a whole are then provided.

Metaphysicians who are aware of modern physics usually follow Putnam (1967) in arguing that Special Theory of Relativity is incompatible with the view that what exists is only what exists now or presently. Partisans of presentism (the motto ‘only present things exist’) had very difficult times since, and no presentist theory of time seems to have been able to satisfactorily counter the objection raised from Special Relativity. One of the strategies offered to the presentist consists in relativizing existence to (...) inertial frames. This unfashionable strategy has been accused of counterfeiting, since the meaning of the concept of existence would be incompatible with its relativization. Therefore, existence could only be relativistically invariant. In this paper, I shall examine whether such an accusation hits its target, and I will do this by examining whether the different criteria of existence that have been suggested by the Philosophical Tradition from Plato onwards imply that existence cannot be relativized. (shrink)

This essay considers Kant’s theory of modality in light of a debate in contemporary modal metaphysics and modal logic concerning the Barcan formulas. The comparison provides a new and fruitful perspective on Kant’s complex and sometimes confusing claims about possibility and necessity. Two central Kantian principles provide the starting point for the comparison: that the possible must be grounded in the actual and that existence is not a real predicate. Both are shown to be intimately connected to the Barcan (...) formulas, and Kant’s views on what he distinguishes as three different kinds of modality are then considered in light of this connection. (shrink)

We introduce the axiom of the existence of axioms and discuss its implications for logical systems and beyond.

The notion of existence is a very puzzling one philosophically. Often philosophers have appealed to linguistic properties of sentences stating existence. However, the appeal to linguistic intuitions has generally not been systematic and without serious regard of relevant issues in linguistic semantics. This paper has two aims. On the one hand, it will look at statements of existence from a systematic linguistic point of view, in order to try to clarify what the actual semantics of such statements (...) in fact is. On the other hand, it will explore what sort of ontology such statements reflect. The first aim is one of linguistic semantics; the second aim is one of descriptive metaphysics. Philosophically, existence statements appear to reflect the distinction between endurance and perdurance as well as particular notions of abstract states and of kinds. Linguistically, statements of existence involve a particular way of drawing the distinction between eventive and stative verbs and between individual-level and stage-level predicates as well as a particular approach to the semantics of bare plurals and mass nouns. (shrink)

This paper investigates the connection between two recent trends in philosophy: higher-orderism and conceptual engineering. Higher-orderists use higher-order quantifiers (in particular quantifiers binding variables that occupy the syntactic positions of predicates) to express certain key metaphysical doctrines, such as the claim that there are properties. I argue that, on a natural construal, the higher-orderist approach involves an engineering project concerning, among others, the concept of existence. I distinguish between a modest construal of this project, on which it aims at (...) engineering higher-order analogues of the familiar notion of first-order existence, and an ambitious construal, on which it additionally aims at engineering a broadened notion of existence that subsumes first-order and higher-order existence. After identifying a substantial problem for the ambitious project, I investigate a possible response which is based on adopting a cumulative type theory as the background higher-order logic. While effective against the problem at hand, this strategy turns out to undermine a major reason to embrace higher-orderism in the first place, namely the idea that higher-orderism dissolves a range of otherwise intractable debates in metaphysics. Higher-orderists are therefore best advised to pursue their engineering project on the modest variant and against the background of standard type theory. (shrink)

In this paper I aim to defend a first‐order non‐discriminating property view concerning existence. The version of this view that I prefer is based on negative (or a specific neutral) free logic that treats the existence predicate as first‐order logical predicate. I will provide reasons why such a view is more plausible than a second‐order discriminating property view concerning existence and I will also discuss four challenges for the proposed view and provide solutions to them.

A central dispute in social ontology concerns the existence of group minds and actions. I argue that some authors in this dispute rely on rival views of existence without sufficiently acknowledging this divergence. I proceed in three steps in arguing for this claim. First, I define the phenomenon as an implicit higher-order disagreement by drawing on an analysis of verbal disputes. Second, I distinguish two theories of existence—the theory-commitments view and the truthmaker view—in both their eliminativist and (...) their constructivist variants. Third, I examine individual contributions to the dispute about the existence of group minds and actions to argue that these contributions have an implicit higher-order disagreement. This paper serves two purposes. First, it is a study to apply recent advances in meta-ontology. Second, it contributes to the debate on social ontology by illustrating how meta-ontology matters for social ontology. (shrink)

A traditional conception of ontology takes existence to be its proprietary subject matter—ontology is the study of what exists (§ 1). Recently, Jonathan Schaffer has argued that ontology is better thought of rather as the study of what is basic or fundamental in reality (§ 2). My goal here is twofold. First, I want to argue that while Schaffer’s characterization is quite plausible for some ontological questions, for others it is not (§ 3). More importantly, I want to offer (...) a unified characterization of ontology that covers both existence and fundamentality questions (§§ 4-5). (shrink)

Metaphysicians frequently appeal to intuition. But when is that appeal useful? I consider that question by focusing on our existential intuitions. In particular, I want to go some way to answering the question of whether, and when, appeal to existential intuitions is useful, by consid-ering the issue in the light of an argument for unrestricted composition. This argument appeals to a difference in the extent to which restricted and unrestricted compositionalists appeal to existential intuitions, and concludes that at the very (...) least, restricted compositionalists are on shak-ier epistemic ground than unrestricted compositionalists. Having outlined this argument for unrestricted composition, I con-sider the nature of the unrestricted existential quantifier in the context of three different metaphysical scenarios about the way the world might be: scenarios that differ with respect to whether the metaphysics of a world completely or uniquely settles the division of that world into ob-jects. I argue that appeal to intuition is not only useful but necessary if we are to determine the intension of ‘exists’ and hence its extension at any given world. But this appeal is not simply an appeal to our brute ex-istential intuitions—our dispositions actually to quantify over a certain domain. Rather, it requires equilibration over a set of worlds in which we consider our ‘quantificational’ dispositions in each world, where, importantly, included in this set of worlds are worlds in which the meta-physics differently settles the division of those worlds into objects. Ul-timately, I argue, our dispositions yield various conditional claims about our concept <existence>. These are conditional claims of the most ab-stract kind: they tell us, for instance, that if there is some natural, unique division of our world into objects, then the unrestricted quantifier ranges over all and only the objects in that domain. But, I will argue, our untu-tored, world-bound dispositions are no guide at all to what actually ex-ists even on the supposition that metaphysics alone does not uniquely or completely settle a natural division of our world into objects. Hence they are no guide to the nature of composition. And to the extent that certain restricted compositionalist views depend on such intuitions, so much the worse for them. Or so I shall argue. (shrink)

Sometimes mereologists have problems with counting. We often don't want to count the parts of maximally connected objects as full-fledged objects themselves, and we don't want to count discontinuous objects as parts of further, full-fledged objects. But whatever one takes "full-fledged object" to mean, the axioms and theorems of classical, extensional mereology commit us to the existence both of parts and of wholes – all on a par, included in the domain of quantification – and this makes mereology look (...) counterintuitive to various philosophers. In recent years, a proposal has been advanced to solve the tension between mereology and familiar ways of counting objects, under the label of Minimalist View . The Minimalist View may be summarized in the slogan: "Count x as an object iff it does not overlap with any y you have already counted as an object". The motto seems prima facie very promising but, we shall argue, when one looks at it more closely, it is not. On the contrary, the Minimalist View involves an ambiguity that can be solved in quite different directions. We argue that one resolution of the ambiguity makes it incompatible with mereology. This way, the Minimalist View can lend no support to mereology at all. We suggest that the Minimalist View can become compatible with mereology once its ambiguity is solved by interpreting it in what we call an epistemic or conceptual fashion: whereas mereology has full metaphysical import, the Minimalist View may account for our ways of selecting "conceptually salient" entities. But even once it is so disambiguated, it is doubtful that the Minimalist View can help to make mereology more palatable, for it cannot make it any more compatible with commonsensical ways of counting objects. (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)

The chapters of the book are seemingly short, but deep explorations on the various fields and possibilities of human being and existence. Such explorations of course reorder and reformulate the timely and essential possibilities of philosophy and philosophizing. These together convey the true weight and stakes of things. For it is indeed so that: „Philosophy is destined to deal with the Deepest and most disturbing questions. It would hardly survive, if they were definitively solved.”.

The distinction between essence (essentia) and existence (existentia) plays a major role in Spinoza’s metaphysics. Although the distinction did not originate with Avicenna, it is primarily through Avicenna’s influence that it became widespread, if not ubiquitous, in both Jewish and Christian medieval philosophy (e.g., Ogden 2021). Spinoza was clearly familiar with this important distinction through his study of Maimonides, Crescas, and Descartes, and it is particularly useful to examine Spinoza’s employment of the distinction in contrast to Descartes’. In the (...) Meditations, Descartes relies on the distinction in a proof of God’s existence, and in his exploration of the essence of material things (both in Meditation Five). (shrink)

Sceptics about substantial disputes in ontology often argue that when two philosophers seem to disagree on a quantified claim, they are actually equivocating on the notion of existence that they are using. When temporal elements play a central role, as in the debate between presentists and eternalists, the hypothesis of an equivocation with respect to existence acquires more plausibility. However, the anti-sceptic can still argue that this hypothesis is unjustified.

The genetic modification of pigs as a source of transplantable organs is one of several possible solutions to the chronic organ shortage. This paper describes existing ethical tensions in xenotransplantation (XTx) that argue against pursuing it. Recommendations for lifelong infectious disease surveillance and notification of close contacts of recipients are in tension with the rights of human research subjects. Parental/guardian consent for pediatric xenograft recipients is in tension with a child’s right to an open future. Individual consent to transplant is (...) in tension with public health threats that include zoonotic diseases. XTx amplifies concerns about justice in organ transplantation and could exacerbate existing inequities. The prevention of infectious disease in source animals is in tension with the best practices of animal care and animal welfare, requiring isolation, ethologically inappropriate housing, and invasive reproductive procedures that would severely impact the well-being of intelligent social creatures like pigs. (shrink)

We initially characterize what we’ll call existence problems as problems where there is evidence that a putative entity exists and this evidence is not easily dismissed; however, the evidence is not adequate to justify the claim that the entity exists, and in particular the entity hasn’t been detected. The putative entity is elusive. We then offer a strategy for determining whether an existence problem is philosophical or scientific. According to this strategy (1) existence problems are characterized in (...) terms of causal roles, and (2) these problems are categorized as scientific or philosophical on the basis of the epistemic context of putative realizers. We argue that the first step of the strategy is necessary to avoid begging the question with regard to categorization of existence problems, and the second step categorizes existence problems on the basis of a distinction between two ways in which an entity can be elusive. This distinction between kinds of elusiveness takes as background a standard account of inference to the best explanation. Applying this strategy, we argue that the existence of a multiverse is a scientific problem. (shrink)

C endorses the doctrine of Composition as Identity, which holds that a composite object is identical to its many parts, and entails that one object can be identical to several others. In this dialogue, N argues that many‐one identity, and thus composition as identity, is conceptually confused. In particular, N claims it violates two conceptual truths: that existence facts fix identity facts, and that identity is no addition to being. In response to pressure from C, N considers several candidate (...) interpretations of the first slogan. Each interpretation imagines God issuing a divine existential decree that counts as ‘fixing the existence facts’, and then considers what questions about identity are left open by it. N eventually hits on an appealing interpretation of the slogan that C can neither undermine nor accommodate, and uses it to interpret the second slogan as well. (shrink)

This paper addresses the ontological status of the ontological categories as defended within E.J. Lowe’s four-category ontology (kinds, objects, properties/relations, and modes). I consider the arguments in Griffith (2015. “Do Ontological Categories Exist?” Metaphysica 16 (1):25–35) against Lowe’s claim that ontological categories do not exist, and argue that Griffith’s objections to Lowe do not work once we fully take advantage of ontological resources available within Lowe’s four-category ontology. I then argue that the claim that ontological categories do not exist has (...) no undesirable consequences for Lowe’s brand of realism. (shrink)

I explain a tension between musical creationism (the view that musical works are abstract artifacts) and the view that there is no vague existence. I then suggest ways to reconcile these views. My central conclusion is that, although some versions of musical creationism imply vague existence, others do not. I discuss versions of musical creationism held by Jerrold Levinson, Simon Evnine, and Kit Fine. I also present two new versions. I close by considering whether the tension is merely (...) an instance of a general problem raised by artifacts, both abstract and concrete. I argue that on at least one defensible account of music the tension is especially problematic for abstracta. I focus on musical works, but much of the paper straightforwardly applies to other kinds of abstract artifacts. (shrink)

This paper is concerned with neo-Fregean accounts of reference to abstract objects. It develops an objection to the most familiar such accounts, due to Bob Hale and Crispin Wright, based upon what I call the 'proliferation problem': Hale and Wright's account makes reference to abstract objects seem too easy, as is shown by the fact that any equivalence relation seems as good as any other. The paper then develops a response to this objection, and offers an account of what it (...) is for abstracta to exist that is Fregean in spirit but more robust than familiar views. (shrink)

It is a striking fact from reverse mathematics that almost all theorems of countable and countably representable mathematics are equivalent to just five subsystems of second order arithmetic. The standard view is that the significance of these equivalences lies in the set existence principles that are necessary and sufficient to prove those theorems. In this article I analyse the role of set existence principles in reverse mathematics, and argue that they are best understood as closure conditions on the (...) powerset of the natural numbers. (shrink)

Semantic externalism in the style of McDowell and Evans faces a puzzle formulated by Pryor: to explain that a sentence such as 'Jack exists' is only a posteriori knowable, despite being logically entailed by the seemingly logical truth 'Jack is self-identical', and hence being itself a logical truth and therefore a priori knowable. Free logics can dissolve the puzzle. Moreover, Pryor has argued that the existentially hedged 'If Jack exists, then Jack is self-identical', when properly formalised, is a logical truth (...) in a system of neutral free logic and therefore a priori knowable, while it does not entail that Jack exists. The latter holds also for negative free logic. In response, Yeakel has argued that on any system of neutral free logic existence hedges will either entail some unwanted existence claims or they will not entail some wanted existence claims. The dilemma also holds for any non-positive free logic. It will be shown that the extension of one of the systems of neutral free logic with a truth operator escapes Yeakel's dilemma, whereas no other non-positive free logic when extended with the truth operator does the same (or it breaks quantifier exchangeability). (shrink)

To a first approximation, ontology is concerned with what exists, metaontology with what it means to say that something exists. So understood, metaontology has been dominated by three views: (i) existence as a substantive first-order property that some things have and some do not, (ii) existence as a formal first-order property that everything has, and (iii) existence as a second-order property of existents’ distinctive properties. Each of these faces well-documented difficulties. In this chapter, I want to expound (...) a fourth theoretical option, which unfortunately has remained ‘under the radar.’ This is Franz Brentano’s view, according to which to say that X exists is not to attribute a property at all (first- or second-order), but to say that the correct attitude to take toward X is that of accepting or believing in it. (shrink)

From the Qur'an, Surah Maryam: -/- (21) So she conceived him, and went in seclusion with him to a remote place. (22) And the pains of childbirth drove her to the trunk of a palm tree: she cried (in her anguish): "Ah! would that I had died before this! Would that I had been a thing forgotten and out of sight!" (23) But (a voice) cried to her from beneath the (palm tree): "Grieve not! for thy Lord hath provided a (...) rivulet beneath thee;" (24) "And shake towards thyself the trunk of the palm tree: it will let fall fresh ripe dates upon thee." (25) "So eat and drink and cool (thine) eye. And if thou dost see any man say 'I have vowed a fast to (Allah) Most Gracious, and this day will I enter into no talk with any human being.'" -/- This Surah depicts a human being in unbearable pain. What makes the pain tolerable is the sympathy that God shows for Mary. Hearing her inner voice, understanding her suffering and her grief, God is moved to provide her with practical and substantive support to help her bear her agony. For me this story portrays a God who is active in the world, hears the supplications of humanity, and has empathy with the needy, the oppressed, and those who are suffering. -/- Yet I am concerned that our theological traditions in the Islamic world (as also in Christendom) have developed through the centuries such that God is now seen, by overwhelming theological consensus, as an immutable being, a being outside time who has determined our providence from the standpoint of eternity, who has foreknowledge of every free action of his creations and has designed all according to His plan for past and future events; who knows in advance even the timings and contents of our petitionary prayers and has decided already whether to answer them. (shrink)

Hilbert’s choice operators τ and ε, when added to intuitionistic logic, strengthen it. In the presence of certain extensionality axioms they produce classical logic, while in the presence of weaker decidability conditions for terms they produce various superintuitionistic intermediate logics. In this thesis, I argue that there are important philosophical lessons to be learned from these results. To make the case, I begin with a historical discussion situating the development of Hilbert’s operators in relation to his evolving program in the (...) foundations of mathematics and in relation to philosophical motivations leading to the development of intuitionistic logic. This sets the stage for a brief description of the relevant part of Dummett’s program to recast debates in metaphysics, and in particular disputes about realism and anti-realism, as closely intertwined with issues in philosophical logic, with the acceptance of classical logic for a domain reflecting a commitment to realism for that domain. Then I review extant results about what is provable and what is not when one adds epsilon to intuitionistic logic, largely due to Bell and DeVidi, and I give several new proofs of intermediate logics from intuitionistic logic+ε without identity. With all this in hand, I turn to a discussion of the philosophical significance of choice operators. Among the conclusions I defend are that these results provide a finer-grained basis for Dummett’s contention that commitment to classically valid but intuitionistically invalid principles reflect metaphysical commitments by showing those principles to be derivable from certain existence assumptions; that Dummett’s framework is improved by these results as they show that questions of realism and anti-realism are not an “all or nothing” matter, but that there are plausibly metaphysical stances between the poles of anti-realism and realism, because different sorts of ontological assumptions yield intermediate rather than classical logic; and that these intermediate positions between classical and intuitionistic logic link up in interesting ways with our intuitions about issues of objectivity and reality, and do so usefully by linking to questions around intriguing everyday concepts such as “is smart,” which I suggest involve a number of distinct dimensions which might themselves be objective, but because of their multivalent structure are themselves intermediate between being objective and not. Finally, I discuss the implications of these results for ongoing debates about the status of arbitrary and ideal objects in the foundations of logic, showing among other things that much of the discussion is flawed because it does not recognize the degree to which the claims being made depend on the presumption that one is working with a very strong logic. (shrink)

Closed time-like curves (CTCs) naturally appear in a variety of chronology-violating space{times. In these space{times, the principle of self-consistency demands a harmony between local and global a airs that excludes grandfather-like paradoxes. However, selfexisting objects trapped in CTCs are not seemingly avoided by the standard interpretation of this principle, usually constrained to a dynamical framework. In this letter we discuss whether we are committed to accept an ontology with self-existing objects if CTCs actually occur in the universe. In addition, the (...) epistemological status of the principle of self-consistency is analyzed and a discussion on the information flux through CTCs is presented. (shrink)

In this paper, I will defend the claim that there are three existence properties: the second-order property of being instantiated, a substantive first-order property (or better a group of such properties) and a formal, hence universal, first-order property. I will first try to show what these properties are and why we need all of them for ontological purposes. Moreover, I will try to show why a Meinong-like option that positively endorses both the former and the latter first-order property is (...) the correct view in ontology. Finally, I will add some methodological remarks as to why this debate has to be articulated from the point of view of reality, i.e., by speaking of properties, rather than from the point of view of language, i.e., by speaking of predicates (for such properties). (shrink)

Quine’s criterion of theoretical ontological commitment is subject to a variety of interpretations, all of which save one yield incorrect verdicts. Moreover, the interpretation that yields correct verdicts is not what Quine meant. Instead the intended criterion unfairly imputes ontological commitments to theories that lack those commitments and fails to impute commitments to theories that have them. Insofar as Quine’s criterion is interpreted so that it yields only correct verdicts, it is trivial and of questionable utility. Moreover, the correct criterion (...) invokes analyticity, a notion that Quine spent most of his life tirelessly combating. This yields a dilemma for Quinean philosophy: Either his criterion of ontological commitment is incorrect, or else Quine is committed to a traditional philosophical notion that he emphatically rejected as disreputable. (shrink)

After reviewing Kant’s well-known criticisms of the traditional proofs of God’s existence and his preferred moral argument, this paper presents a detailedanalysis of a densely-packed theistic argument in Religion within the Bounds of Bare Reason. Humanity’s ultimate moral destiny can be fulfilled only through organized religion, for only by participating in a religious community (or “church”) can we overcome the evil in human nature. Yet we cannot conceive how such a community can even be founded without presupposing God’s (...) class='Hi'>existence. Viewing God as the internal moral lawgiver, empowering a community of believers, is Kant’s ultimate rationale for theistic belief. (shrink)

Do numbers exist? Do properties? Do possible worlds? Do fictional characters? Many metaphysicians spend time and effort trying to answer these and other questions about the existence of various entities. These inquiries have recently encountered opposition: a group of philosophers, drawing inspiration from Aristotle, have argued that many or all of the existence questions debated by metaphysicians can be answered trivially, and so are not worth debating. Our task is to defend existence questions from the neo-Aristotelians' attacks.

A resolution to the Russell Paradox is presented that is similar to Russell's “theory of types” method but is instead based on the definition of why a thing exists as described in previous work by this author. In that work, it was proposed that a thing exists if it is a grouping tying "stuff" together into a new unit whole. In tying stuff together, this grouping defines what is contained within the new existent entity. A corollary is that a thing, (...) such as a set, does not exist until after the stuff is tied together, or said another way, until what is contained within is completely defined. A second corollary is that after a grouping defining what is contained within is present and the thing exists, if one then alters what is tied together (e.g., alters what is contained within), the first existent entity is destroyed and a different existent entity is created. A third corollary is that a thing exists only where and when its grouping exists. Based on this, the Russell Paradox's set R of all sets that aren't members of themselves does not even exist until after the list of the elements it contains (e.g. the list of all sets that aren't members of themselves) is defined. Once this list of elements is completely defined, R then springs into existence. Therefore, because it doesn't exist until after its list of elements is defined, R obviously can't be in this list of elements and, thus, cannot be a member of itself; so, the paradox is resolved. This same type of reasoning is then applied to Godel's first Incompleteness Theorem. Briefly, while writing a Godel Sentence, one makes reference to a future, not yet completed and not yet existent sentence, G, that claims its unprovability. However, only once the sentence is finished does it become a new unit whole and existent entity called sentence G. If one then goes back in and replaces the reference to the future sentence with the future sentence itself, a totally different sentence, G1, is created. This new sentence G1 does not assert its unprovability. An objection might be that all the possibly infinite number of possible G-type sentences or their corresponding Godel numbers already exist somehow, so one doesn't have to worry about references to future sentences and springing into existence. But, if so, where do they exist? If they exist in a Platonic realm, where is this realm? If they exist pre-formed in the mind, this would seem to require a possibly infinite-sized brain to hold all these sentences. This is not the case. What does exist in the mind is the system for creating G-type sentences and their corresponding numbers. This mental system for making a G-type sentence is not the same as the G-type sentence itself just as an assembly line is not the same as a finished car. In conclusion, a new resolution of the Russell Paradox and some issues with proofs of Godel's First Incompleteness Theorem are described. (shrink)

In this paper, I examine Kant's famous objection to the ontological argument: existence is not a determination. Previous commentators have not adequately explained what this claim means, how it undermines the ontological argument, or how Kant argues for it. I argue that the claim that existence is not a determination means that it is not possible for there to be non-existent objects; necessarily, there are only existent objects. I argue further that Kant's target is not merely ontological arguments (...) as such but the larger ‘ontotheist’ metaphysics they presuppose: the view that God necessarily exists in virtue of his essence being contained in, or logically entailed by, his essence. I show that the ontotheist explanation of divine necessity requires the assumption that existence is a determination, and I show that Descartes and Leibniz are implicitly committed to this in their published versions of the ontological argument. I consider the philosophical motivations for the claim that existence is a determination and then I examine Kant's arguments in the Critique of Pure Reason against it. (shrink)

This paper asks: Is the quantifier variantist committed to metaphysical vagueness? My investigation of this question goes via a study of vague existence. I’ll argue that the quantifier variantist is committed to vague existence and that the vague existence posited by the variantist requires a puzzling sort of metaphysical vagueness. Specifically, I distinguish between (what I call) positive and negative metaphysical vagueness. Positive metaphysical vagueness is (roughly) the claim that there is vagueness in the world; negative metaphysical (...) vagueness is (roughly) the claim that there is vagueness that is not in our language or thought. I’ll argue that the quantifier variantist’s commitment to vague existence comes with positive metaphysical vagueness -- even if it doesn't require negative metaphysical vagueness. (shrink)

One important task of metaphysics is to answer the question of what it is for an object to exist. The first part of this book offers a systematic reconstruction and critique of contemporary views on existence. The upshot of this part is that the contemporary debate has reached an impasse because none of the considered views is able to formulate a satisfactory answer to this fundamental metaphysical question. The second part reconstructs Thomas Aquinas’s view on existence (esse) and (...) argues that it contributes a new perspective which allows us to see why the contemporary debate has reached this impasse. It has come to this point because it has taken a premise for granted which Aquinas’s view rejects, namely, that the existence of an object consists in something’s having a property. A decisive contribution of Aquinas’s theory of esse is that it makes use of the ideas of metaphysical participation and composition. In this way, it can be explained how an object can have esse without being the case that esse is a property of it. This book brings together a reconstruction from the history of philosophy with a systematic study on existence and is therefore relevant for scholars interested in contemporary or medieval theories of existence. (shrink)

If God necessarily exists this has some interesting consequences. In this little note I mention some of these.

The aim of this paper is to clarify Spinoza’s views on some of the most fundamental issues of his metaphysics: the nature of God’s attributes, the nature of existence and eternity, and the relation between essence and existence in God. While there is an extensive literature on each of these topics, it seems that the following question was hardly raised so far: What is, for Spinoza, the relation between God’s existence and the divine attributes? Given Spinoza’s claims (...) that there are intimate connections between God’s essence and his existence – “God’s essence and his existence are one and the same”(E1p20) – and between God’s essence and the attributes – “By attribute I understand what the intellect perceives of substance, as constituting its essence” (E1d4), we would naturally expect that by transitivity, there is a significant relation between God’s existence and the attributes. Yet, as far as I know, there is little, if any, attempt in the existing literature to explicate such a relation, and it is one of my aims of this study to both raise the question and answer it. Eventually, I will argue that for Spinoza God is nothing but existence, and that the divine attributes are just fundamental kinds of existence, or, what is the same, as I will later argue, the intellect’s most fundamental and adequate conceptions of existence. In the first part of the paper I provide some background for Spinoza’s brief discussion in the TTP of God’s name and essence by studying the claims of Maimonides in the Guide of the Perplexed that God’s true essence is necessary existence, and that this essence is denoted by the ineffable Hebrew name of God, the Tetragrammaton (YHVH). In the second part of the paper I point out similar claims Spinoza presents in the TTP, and show how they respond to and echo Maimonides’ discussion in the Guide. In the third part, I examine Spinoza’s apparently conflicting claims in the Ethics about the relationship between God’s essence and existence. In some places Spinoza claims that God’s essence and existence are strictly identical (E1p10: “God’s essence his existence are one and the same”), but in other passages he makes the apparently much more modest claim that God’s essence involves existence (E1d1, E1p7d and E1p11d), which may lead one to believe that there is more to God’s essence than mere existence. I show that Spinoza’s understanding of the relation denoted by the Latin ‘involvit’ is consistent with the strict identification of essence and existence in God, and that Spinoza identifies God’s essence with self-necessitated existence, or eternity. Indeed, Spinoza’s understanding of eternity [aeternitas] as self-necessitated existence (E1d8) is one of the very few Spinozistic concepts that has no trace in Descartes. In this part I will also solve the long-standing problem of the sense in which the infinite modes can be called ‘eternal.’ In the fourth part I turn to the relation between the divine attributes and God’s existence and argue that, for Spinoza, the attributes are self-sufficient and adequate conceptions of existence. Finally, I will attempt to explain what brought Spinoza to deify existence. -/- Part I: “In that Day shall God be One, and his Name One”- Maimonides on God’s Name and Essence. -/- 1.1 Before we delve into the texts, let me suggest a few distinctions between various views on the issue of the relation between essence and existence in God. The view I suspect both Maimonides and Spinoza subscribe to can be termed the divine essence-existence Identity Thesis. -/- Identity Thesis (IT): God’s essence is existence and nothing but existence. We should distinguish the Identity Thesis from the much more common view according to which God’s essence contains existence, or (which I take to be roughly the same) that existence is one of the properties or perfections which constitute God’s essence. The latter view allows for the possibility (though it does not demand) that there is more to God’s essence than bare existence (e.g., God’s essence may include omniscience, omnipotence, etc.). I will term this view the divine essence-existence Containment Thesis. (shrink)

There are things of which it is true to say that there are no such things. How can we resolve this paradox? Panayot Butchvarov argues that there are objects of reference that are not also entities, where the former must merely be thinkable but the latter must be indefinitely re-identifiable. This paper argues that fictional and many other unreal objects are indeed indefinitely re-identifiable, so they must be counted as existing things on Butchvarov's theory. The paradox is best resolved by (...) distinguishing among domains of existence: Sherlock Holmes exists in the unrestricted domain of objects and in the fictional domain created by Conan Doyle, but not in the domain of the real world. Thus to exist and to be real are different things; all objects exist in some domain, but only real objects really exist. (shrink)