Mark Jago’s four arguments against Takashi Yagisawa’s extended modal realism are examined and shown to be ineffective. Yagisawa’s device of modal tense renders three of Jago’s arguments harmless, and the correct understanding of predications of modal properties of world stages blocks the fourth one.

The paper defends the so-called extended modal realism, a theory according to which there are concrete impossible worlds. Firstly, modal realism is presented. Next, the way of how its ontology enriched by impossible worlds should look like in order to save its main theoretical virtues is pursued. Finally, I argue for a claim that metaphysical impossibility equals to dissimilarity between worlds instantiating distinct metaphysical structures.

The paper deals with such a modification of genuine modal realism as to accommodate impossible worlds into its ontology. First of all, the theory of modal realism is presented. Next, several motivations for the acceptance of impossible worlds are adduced. Furthermore, Lewis’s argument against impossible worlds is denied. Then, it is argued that the same methodology as in the case of possible worlds can be used when impossibilia are at issue. Finally, the theory of extended modal realism is formulated.

Circumstantialists already have a logical semantics for impossibilities. They expand their logical space of possible worlds by adding impossible worlds. These are impossible circumstances serving as indices of evaluation, at which impossibilities are true. A variant of circumstantialism, namely modal Meinongianism (noneism), adds impossible objects as well. These are so-called incomplete objects that are necessarily non-existent. The opposite of circumstantialism, namely structuralism, has some catching-up to do. What might a structuralist logical semantics for impossibilities without impossibilia look like? This (...) paper makes a structuralist counterproposal. We present a semantics based on a procedural interpretation of the typed λ-calculus. The fundamental idea is that talk about impossibilities should be construed in terms of procedures: some yield as their product a condition that could not possibly have a satisfier, while the rest fail to yield a product altogether. Dispensing with a ‘bottom’ of impossibilia requires instead a ‘top’ consisting of structured hyperintensions, intensions, intensions defining other intensions, a typed universe, and dual (de dicto and de re) predication. We explain how the theory works by going through several examples. (shrink)

RésuméLa « Lettre sur l’âme » est intéressante et significative ; elle tente de résoudre des problèmes fondamentaux qui relèvent des frontières de la psychologie, de l’épistémologie, de la métaphysique, de la philosophie de l’esprit et de la logique. Le consensus parmi les spécialistes d’Avicenne est que la « Lettre » est de sa plume. Dans cet article, je vais contester ce consensus. J’examinerai le contenu philosophique et logique de la « Lettre », ainsi que la vision d’Avicenne sur les (...) formes impossibles dans ses œuvres authentiques, et je construirai un argument basé sur le contenu contre l’authenticité de la « Lettre ». J’espère que cette étude éclairera la vision d’Avicenne sur les impossibilia, ce qu’ils sont et comment ils peuvent être appréhendés. (shrink)

The topic of this article is to develop an alternative, ontologically settled, problematic intuition about how to establish theoretical criteria of (non) conceptuality of an intentional content which kind of properties must an object possess to be able to furnish a full formal satisfaction to a conceptualization process? Are there any objects upon which our concepts can only go in vain in a sort of non conceptual short circuit’s breakdown in the very same act, in order to be caught in (...) a perceptual process? To give one or more answers to these questions, the article analyzes some examples of thing which are very difficult to conceive immediate y by means of predicative concept, the so -called Odradek object (O/o),taking inspiration by the case of a Kafka’ s famous tale character.It is possible to show the existence of almost a odd phenomenon of optical illusion in which the behaviour of perceptual structure of certain objects is very clear y similar to an O/o s one (Frisby’s effect in the Waterfall illusion, for example). Nevertheless, conclusions of the article will show how the reasons to believe in the plausibility of this hypothesis are more a priori and conceptually based than psychologically and experimentally inspired. (shrink)

It is widely believed, among philosophers of literature, that imagining contradictions is as easy as telling or reading a story with contradictory content. Italo Calvino’s The Nonexistent Knight, for instance, concerns a knight who performs many brave deeds, but who does not exist. Anything at all, they argue, can be true in a story, including contradictions and other impossibilia. While most will readily concede that we cannot objectually imagine contradictions, they nevertheless insist that we can propositionally imagine them, and (...) regularly do, simply by entertaining a text which prompts us to do so. I argue that this narrative does not bear scrutiny for two main reasons. First, because propositional imagining is beside the point, where truth in fiction is concerned; evaluating truth in fiction engages the cognitive architecture in ways that prohibit the mobilization of merely propositional imagination to that end. And second, because it is not obvious, given the strategies usually suggested, that we ever propositionally imagine contradictions in the first place—in fact, it seems we go out of our way to avoid directly imagining them. (shrink)

Lewisian Genuine Realism about possible worlds is often deemed unable to accommodate impossible worlds and reap the benefits that these bestow to rival theories. This thesis explores two alternative extensions of GR into the terrain of impossible worlds. It is divided in six chapters. Chapter I outlines Lewis’ theory, the motivations for impossible worlds, and the central problem that such worlds present for GR: How can GR even understand the notion of an impossible world, given Lewis’ reductive theoretical framework? Since (...) the desideratum is to incorporate impossible worlds into GR without compromising Lewis’ reductive analysis of modality, Chapter II defends that analysis against objections. The rest of the thesis is devoted to incorporating impossible worlds into GR. Chapter III explores GR-friendly impossible worlds in the form of set-theoretic constructions out of genuine possibilia. Then, Chapters IV-VI venture into concrete impossible worlds. Chapter IV addresses Lewis’ objection against such worlds, to the effect that contradictions true at impossible worlds amount to true contradictions tout court. I argue that even if so, the relevant contradictions are only ever about the non-actual, and that Lewis’ argument relies on a premise that cannot be nonquestion- beggingly upheld in the face of genuine impossible worlds in any case. Chapter V proposes that Lewis’ reductive analysis can be preserved, even in the face of genuine impossibilia, if we differentiate the impossible from the possible by means of accessibility relations, understood non-modally in terms of similarity. Finally, Chapter VI counters objections to the effect that there are certain impossibilities, formulated in Lewis’ theoretical language, which genuine impossibilia should, but cannot, represent. I conclude that Genuine Realism is still very much in the running when the discussion turns to impossible worlds. (shrink)

Drawing on different suggestions from the literature, we outline a unified metaphysical framework, labeled as Modal Meinongian Metaphysics (MMM), combining Meinongian themes with a non-standard modal ontology. The MMM approach is based on (1) a comprehension principle (CP) for objects in unrestricted, but qualified form, and (2) the employment of an ontology of impossible worlds, besides possible ones. In §§1–2, we introduce the classical Meinongian metaphysics and consider two famous Russellian criticisms, namely (a) the charge of inconsistency and (b) the (...) claim that naïve Meinongianism allows one to prove that anything exists. In §3, we have impossible worlds enter the stage and provide independent justification for their use. In §4, we introduce our revised comprehension principle: our CP has no restriction on the (sets of) properties that can characterize objects, but parameterizes them to worlds, therefore having modality explicitly built into it. In §5, we propose an application of the MMM apparatus to fictional objects and defend the naturalness of our treatment against alternative approaches. Finally, in §6, we consider David Lewis’ notorious objection to impossibilia, and provide a reply to it by resorting to an ersatz account of worlds. (shrink)

In his book Worlds and Individuals, Possible and Otherwise (2010), Takashi Yagisawa presents and argues for a novel and imaginative version of modal realism. It differs both from Lewis’s modal realism (Lewis 1986) and from actualists’ ersatz accounts (Adams 1974; Sider 2002). In this paper, I’ll present two arguments, each of which shows that Yagisawa’s metaphysics is incoherent. The first argument shows that the combination of Yagisawa’s metaphysics with impossibilia leads to triviality: every sentence whatsoever comes out true. This (...) is so even if Yagisawa accepts a paraconsistent notion of logical consequence, on which contradictions do not entail arbitrary conclusions. The second argument is independent of Yagisawa’s acceptance of impossibilia. It shows that Yagisawa’s metaphysics of possible worlds is incoherent. Using ordinary modal reasoning, I derive a contradiction from Yagisawa’s account of possible worlds. (shrink)

David Lewis famously dismisses genuine impossible worlds on the basis that a contradiction bound within the scope of his modifier ‘at w’ amounts to a contradiction tout court—an unacceptable consequence. Motivated by the rising demand for impossible worlds in philosophical theorising, this paper examines whether anything coherent can be said about an extension of Lewis’ theory of genuine, concrete possible worlds into genuine, concrete impossible worlds. Lewis’ reasoning reveals two ways to carve out conceptual space for the genuinely impossible. The (...) first is to abandon Lewis’ classical translation schema for negation, on the basis that it begs the question against incomplete and inconsistent worlds. I argue that, whilst this option incurs some loss in the semantics, it preserves the core spirit of Lewis’ metaphysics. The alternative is to bite the bullet, abandon classical logic and embrace true contradictions. The key challenge with this strategy is that the resulting theory seems committed to a particularly strong kind of dialethism—one that even dialethists would be reluctant to accept. I motivate such a dialethic account of genuine impossibilia using Lewis’ own methodology and defend it against triviality objections. I close with a few comments on why impossible worlds should not be reduced to set theoretic constructs out of possible worlds. (shrink)

The aim of the paper is to discuss the ersatz theory of Lewis’s impossible worlds, point out its undeniable benefits and demonstrate its costs. Firstly, I present two approaches to Lewis’s impossible worlds taken as constructions out of possibilia. Secondly, I evaluate the proposals using the Lewisian criteria of success concerning the well defined conception of analysis. Although appealing, I do not find the proposals fully persuasive. Thirdly, I discuss the objection from an ad hoc distinction between possible and impossible (...) worlds. I conclude that the objection does not present a special problem for the Lewisian theory. Finally, I motivate a theory of extended modal realism, to wit, modal realism enriched with concrete impossibilia. (shrink)

[Draft of October 2024] David Lewis acclimated us to talk of “nonactual concreta that exist,” regarding talking donkeys and the like. I shall argue that this was not for the best, and try to normalize a way of describing them as “actual concreta that do not exist.” The basis of this is a defense of the Meinongian thesis “there are objects of which it is true that there are no such objects,” re: fictitious and illusory objects. I first formulate the (...) problem of negative existentials in a novel way, and discuss why this new version is more forceful against anti-Meinongians. Additional data is also pressed against anti-Meinongians--e.g., the truth of ‘Pegasus is imaginary’, and a reading of ‘There actually are illusory objects’ where it comes out true. The Meinongian, in contrast, easily and uniformly explains the same data, by allowing the existence Pegasus, pink elephants, and the like. But contra Meinong, these cases suggest that the nonexistent objects are mind-dependent objects, and I clarify and defend this suggestion from several objections. The resulting Meinongianism is thus “conservative” in that it merely acknowledges the sense in which there are mind-dependent objects, imaginary and illusory objects being prime examples. Of special note, the “ideology” is conservative as well in that the typical Meinongian jargon of “nuclear” or “encoded” properties is paraphrased away. New suggestions about the ontology of abstracta, mere possibilia, and impossibilia are sketched in light of this. Comparisons are also made with Crane and McGinn, among others. (shrink)

Finding out which terms – scientific or otherwise— fail to refer is an extremely complex business since both felicitous reference and failure to refer must be negotiated. Causal theories of reference –even so-called hybrid theories – posit that in order to refer to something, we need the regulative idea of an ontological reference, which operates even when we refer to impossibilia or inconceivable objects. Evidently, this is not the case of the referent of phlogiston, which is neither inconceivable nor (...) impossible, nor, alas, does it exist. In the antipodes, from a representational-physicalist point of departure, a term fails to refer if it has no actual ontological grounds: phlogiston fails to refer because it has no physical existence. Phlogiston can even be considered to be a fictional entity, and referring to a fictional entity is not the same as a reference in a fiction or a fictional reference Salmon : a fictional entity is an object in the same sense as an abstract object, and therefore we can genuinely refer to it. The question is: who claims that phlogiston does not exist? Nowadays, everyone does, fundamentally and primarily because science has established it as a fact. The process that led to this result is extremely complex, lengthy and multi-dimensional. It involved factors of several kinds: cognitive, social, political, historical, as well as ontological, and this last factor has been neglected. I do not claim that phlogiston once existed and then ceased to exist -- science only allows us a sneak-peek into what exists and what, sometimes mistakenly, is supposed to exist. Paraphrasing Latour, this inquiry is about following the journey of the referents, even when they do not end up being physical-existent or existing objects. I believe with Bach that the notion of reference is essentially pragmatic; that the difference between alluding to something and referring to or denoting something must be established; that to achieve this the semantic properties of terms are not sufficient, and finally that references are not semantic but cognitive properties that relate thoughts and objects of any kind. My assumption is that to refer to something one must be capable of having thoughts about it and that the propositions one attempts to communicate in the course of referring to it are singular with respect to it. Being in a position to have a thought about a particular thing requires being connected to that thing, via perception, memory, communication and/ or education. Therefore, only in an exceedingly narrow realist theory of reference does phlogiston fail to refer. Unless a theory of reference of scientific terms is based on the study of the actual linguistic communicative practices among scientists, it will inevitably pose serious epistemological difficulties. (shrink)

Theories of possible worlds abound. Since the introduction of modal logic, the term of a possible world, and the very nature of an entity denoted by the term, have stood on the top of metaphysical inquiries. A possible world, roughly speaking, is a complete way things could have been. On the face of it, whatever is possible takes place in some possible world, and whatever is not possible, does not. The aim of the present book is to argue that even (...) impossible things happen. By taking David Lewis’s Modal Realism (henceforth as “MR”) seriously, I claim that besides infinitely many concrete ways things could have been, there exist ways things could not have been. I call them concrete impossible worlds. In Chapter I, I outline Lewis’s well-defined conception of philosophical analysis. I present its structure, aims, methodology and criteria for success. Besides the virtues of the Lewisian conception, I point out several limitations the theory has and offer very simple solution: the admission of concrete impossible worlds. In Chapter II, I present a version of an epistemological objection against MR and a positive account in favour of Modal Fictionalism (henceforth as “MF”). I then present the puzzle in this matter and attempt to generalise my point. 9 Introduction Chapter III demonstrates how flexible Lewis’s theory is. I consider a putative impossibility of there being island universes – spatiotemporally disjoint spacetimes – and show what a proponent of modal realism can do in order to account for it. I present three possible moves: a revision of our pre-theoretical opinions, a modification of our definitions and, finally, an ex- tension of our metaphysical commitments. I consider two ersatz theories of impossible worlds in Chapter IV. In particular, I scrutinize Franz Berto’s and Edwin Mares’s (hybrid) theories of MR. Although I admit that the theories radically extend the scope of applications of MR without extending its metaphysical commitments, the approaches do have some limits. Finally, in Chapter V, I present Extended Modal Realism (henceforth EMR), a theory according to which the best way to go in order to account for impossible phenomena is to ex- tend our metaphysical base by genuine impossibilia. I try to (at least) weaken, if not meet, the crucial objections to the proposal. Namely, I challenge the proclaimed universality of classical logic and, subsequently, motivate certain kind of paraconsistent approach to modal reality. Although the consequences are very hard to swallow, I argue that it is because of the fact that we are unsure of our pre-theoretical opinions concerning the impossible. (shrink)

In (1959), Carnap famously attacked Heidegger for having constructed an insane metaphysics based on a misconception of both the logical form and the semantics of ordinary language. In what follows, it will be argued that, once one appropriately (i.e., in a Russellian fashion) reads Heidegger’s famous sentence that should paradigmatically exemplify such a misconception, i.e., “the nothing nothings”, there is nothing either logically or semantically wrong with it. The real controversy as to how that sentence has to be evaluated—not as (...) to its meaning but as to its truth—lies at the metaphysico- ontological level. For in order for the sentence to be true one has to endorse an ontology of impossibilia and Leibniz’s principle of the identity of indiscernibles. (shrink)

Possible-worlds semantics proved itself as a strong tool in analysing the statements of actuality, possibility, contingency and necessity. But impossible phenomena go beyond the expressive power of the apparatus. The proponents of possible-worlds apparatus thus owe us at least three stories. The first one is the story about ontological nature of possible worlds, the second one is the story about the theoretical role such entities play and the third one is the story about the impossible. Modal Realism (MR) provides us (...) with a positive story regarding the first and the second, but denies impossible worlds. Extended Modal Realism (EMR) adds a positive story about the third point too. This book is an attempt to paraphrase extended modal realism in different metaphysical frameworks. In Chapter I, I outline the theory of modal realism, its systematic account of modality and its ontological commitments. I also motivate an impossible-worlds discourse as well as a systematic appeal of extending the picture beyond the possible. I then propose several definitions of the concept of ‘impossible world’ (or impossible possible world). Finally, I discuss a particular metaphysics behind the concept - extended modal realism. Chapter II considers the epistemological worry associated with (MR) and (EMR) and concludes that although the worry is justified, there can be epistemological justification of the theory. Next, I outline the so-called indispensability argument for the legitimacy of mathematical Platonism. Finally, I argue that the argument, if accepted, can be applied to metaphysics in general, to the existence of concrete possibilia (and impossibilia) in particular. Chapter III focuses on the analysis of (EMR). To be more precise, I present a so-called advanced modalizing problem which seems to be infecting every genuinely realistic theory of modality. In this chapter, I propose a way of treating extraordinary modal claims by means of plurality of logical spaces. The next three chapters provide different ways of understanding (EMR). Namely, Chapter IV develops and defends Extended Modal Dimensionalism (EMD). (EMD) is realism about spaces, times and worlds—metaphysical indices that make objects spatial, temporal and modal, respectively. Metaphysical indices play the role of alethic relativisers, i.e. items to which matters of truth are relativized. The chapter examines several arguments against modal dimensionalism and shows that it offers a feasible way to understand (EMR). Chapter V offers a structural approach to possible and impossible worlds: Extended Modal Structuralism (EMS). In particular, I consider whether it makes sense to think of logical models in isolation from the concrete world but without their being divorced from all spatiotemporal totalities. The metaphysics of structure developed in this chapter assumes that structural properties of possible and impossible worlds are primitive and objective. However, I provide some characterisations of their logical and metaphysical behaviour, as well as guidelines for talking about them. Finally, Chapter VI proposes yet another metaphysical framework of hybrid modal realism. I present theories of (MR), (EMR) and modal fictionalism respectively, their advantages and drawbacks. Finally, I propose a so-called hybrid view. Roughly, the view is that one might be a modal realist when it comes to possibilia, but turn into fictionalism regarding impossibilia. The approach is dubbed Extended Modal Fictionalism (EMF) a version of fictionalism according to which claims made within a certain discourse are better to be understood as a sort of ‘fiction’, rather than as a literal truth. (shrink)

Externalism holds that the content of our utterances and thoughts are determined partly by the environment. Here, I offer an argument which suggests that externalism is incompatible with a natural view about ontological commitment--namely, the Quinean view that such commitments are fixed by the range of the variables in your theory. The idea in brief is that if Oscar mistakenly believes that water = XYZ, the externalist ontologically commits Oscar to two waterish kinds, whereas the Quinean commits him to one (...) such kind (albeit a metaphysically impossible kind). The penultimate section addresses a variety of objections to the argument. (shrink)