A counterpossible conditional is a counterfactual with an impossible antecedent. Common sense delivers the view that some such conditionals are true, and some are false. In recent publications, Timothy Williamson has defended the view that all are true. In this paper we defend the common sense view against Williamson’s objections.

In this article, we discuss the notion of merely confused supposition as it arose in the medieval theory of suppositio personalis. The context of our analysis is our formalization of William of Ockham's theory of supposition sketched in Mind 86 (1977), 109-13. The present paper is, however, self-contained, although we assume a basic acquaintance with supposition theory. The detailed aims of the paper are: to look at the tasks that supposition theory took on itself and to use our formalization to (...) relate them to more modern ideas; to explain the notion of merely confused supposition and to defend it against certain criticisms; and to discuss two issues closely related to the idea of merely confused supposition which we could not broach in a shorter article: the mode of supposition of terms in intensional contexts, and the possible existence of a fourth mode, often called suppositio copulatim. (shrink)

In this paper we reply to arguments of Kroon (“Characterization and Existence in Modal Meinongianism”. Grazer Philosophische Studien 86, 23–34) to the effect that Modal Meinongianism cannot do justice to Meinongian claims such as that the golden mountain is golden, and that it does not exist.

Nearly a decade has past since Grove gave a semantics for the AGM postulates. The semantics, called sphere semantics, provided a new perspective of the area of study, and has been widely used in the context of theory or belief change. However, the soundness proof that Grove gives in his paper contains an error. In this note, we will point this out and give two ways of repairing it.

Graham Priest's book In Contradiction is a bold defense of the existence of true contradictions. Although Priest's case is impressive, and many of his arguments are correct, his approach is not the only one allowing for true contradictions. As against Priest's, there is at least one contradictorialist approach which establishes a link between true contradictions and degrees of truth. All in all, such an alternative is more conservative, closer to mainstream analytical philosophy. The two approaches differ (...) as regards the floodgate problem. Priest espouses a confinement policy banning contradictions except in a few special domains, particularly those of pure semantics and set-theory , whereas the alternative approach admits two negations -- natural or weak negation and strong negation, the latter being classical; accordingly, the alternative approach prohibits any contradiction involving strong negation, thus providing a syntactic test of what contradictions have to be rejected. (shrink)

We reply to various arguments by Otavio Bueno and Edward Zalta (‘Object Theory and Modal Meinongianism’) against Modal Meinongianism, including that it presupposes, but cannot maintain, a unique denotation for names of fictional characters, and that it is not generalizable to higher-order objects. We individuate the crucial difference between Modal Meinongianism and Object Theory in the former’s resorting to an apparatus of worlds, possible and impossible, for the representational purposes for which the latter resorts to a distinction between two kinds (...) of predication, exemplification and encoding. We show that encoding has fewer forerunners in the history of philosophy than Bueno and Zalta want, and that there’s a reason why the notion has been found baffling by some. (shrink)

Part of a book symposium on Graham Priest's Towards Non-Being.

In this study, I reconstruct and compare Alain Badiou’sBeing and Event(2005) and Graham Priest’sOne(2014), arguing that the ontologies pursued within the two texts are intriguingly analogous in a number of ways. Both Badiou and Priest are committed to thinking through classically ontological problems without denying the validity of the paradoxes they raise; both regard Plato’sParmenidesas an early and formative account of these paradoxes; both establish conclusions to the effect that unity – or “oneness” – is indeed a (...) contradictory phenomenon; and both, as a corollary of this conclusion, develop frameworks which confer ontological prominence uponthe voidandemptinessrespectively, thereby arriving at what appears to be a shared ontological nihilism. In this comparative study, I not only enquire whether the frameworks adopted by Badiou and Priest really do lead to nihilist conclusions, but also attempt to clearly outline their trajectories of thought for the benefit of those who might be tempted to dismiss their seemingly outlandish theses out of hand. (shrink)

Per il dialeteismo ci sono contraddizioni vere. Questa concezione filosofica ha assunto una forma chiara e definita a partire dal lavoro del filosofo e logico Graham Priest – uno dei suoi padri fondatori, nonché uno dei suoi più strenui difensori. Questo libro intende portare il dialeteismo all’attenzione di un ampio pubblico, che non sia solo quello degli addetti ai lavori. Il volume è suddiviso in due parti. La prima include le cinque lezioni su "Dialeteismo e storia della filosofia" (...) tenute da Priest e Filippo Casati a Padova nel 2016, in occasione del Corso di Eccellenza per il dottorato in filosofia dell’Università di Padova. La seconda contiene quattro contributi sul dialeteismo di autori italiani. (shrink)

Get used to it: paradox and contradiction are inherent in human experience. Australian philosopher of logic Graham Priest takes us on a historical tour of paradox and limitation in human conception, expression, cognition, and calculation. Along the way we meet the many, mostly western, philosophers who've struggled with expressing the inexpressible and conceiving the inconceivable. Priest arrives at a general schema for representing these limit encounters from the standpoint of contemporary logic.

Graham Priest, ampiamente considerato una figura di tutto rilievo nel panorama filosofico contemporaneo, è conosciuto prevalentemente per i suoi contributi nel campo delle logiche non-classiche, e per essere uno dei fondatori della controversa tesi filosofica denominata dialeteismo. Non sorprende che, come per molti degli autori che vengono comunemente inseriti nella tradizione analitica, due delle aree in cui il suo pensiero è stato più fecondo siano la logica e la metafisica. Ciò che sorprende, invece, è la sua capacità di (...) usare le teorie formali e le tesi metafisiche da lui stesso concepite come via di accesso per terreni filosofici normalmente considerati distanti da quello anglosassone. In particolare, sono numerose le occasioni in cui l’attenzione di Priest si è rivolta ad Oriente, e più nello specifico al Buddismo. The Fifth Corner of Four, il suo ultimo libro, può essere considerato a buon diritto la manifestazione più evidente di questo grande e perdurante interesse. (shrink)

Priest holds anti-exceptionalism about logic. That is, he holds that logic, as a theory, does not have any exceptional status in relation to the theories of empirical sciences. Crucial to Priest’s anti-exceptionalism is the existence of ‘data’ that can force the revision of logical theory. He claims that classical logic is inadequate to the available data and, thus, needs to be revised. But what kind of data can overturn classical logic? Priest claims that the data is our (...) intuitions about the validity of inferences. In order to make sense of this claim, I will appeal to the Madhyamaka Buddhist philosopher Candrakīrti. I will then pose a problem for Priest’s anti-exceptionalism. Finally, I will suggest a way out of the problem for Priest. Whether or not he accepts my solution, I will let him decide. (shrink)

In this paper, we look at applying the techniques from analyzing superintuitionistic logics to extensions of the cointuitionistic Priest-da Costa logic daC (introduced by Graham Priest as “da Costa logic”). The relationship between the superintuitionistic axioms- definable in daC- and extensions of Priest-da Costa logic (sdc-logics) is analyzed and applied to exploring the gap between the maximal si-logic SmL and classical logic in the class of sdc-logics. A sequence of strengthenings of Priest-da Costa logic is (...) examined and employed to pinpoint the maximal non-classical extension of both daC and Heyting-Brouwer logic HB . Finally, the relationship between daC and Logics of Formal Inconsistency is examined. (shrink)

Graham Priest has recently proposed a solution to the problem of the One and the Many which involves inconsistent objects and a non-transitive identity relation. We show that his solution entails either that the object everything is identical with the object nothing or that they are mutual parts; depending on whether Priest goes for an extensional or a non-extensional mereology.

This was written for the Archdiocese of Calcutta's mouthpiece, The Herald in 2009 and published there. The audience is chiefly popular and not the usual academic audience both within Catholicism or in the academe in general. This essay makes a case for us in understanding and empathizing with the essential loneliness of the Catholic Religious (as understood by a married Hindu man). Further, literature is shown hear as effective therapy for resisting loneliness and as a therapeutic tool for self-help by (...) Catholic Religious. The author is not in possession of the published article but has been informed that copies of The Herald, Kolkata are kept at Goethals's Library, St. Xavier's College, Kolkata. (shrink)

The subject of my article is the principle of characterization – the most controversial principle of Meinong’s Theory of Objects. The aim of this text is twofold. First of all, I would like to show that Russell’s well-known objection to Meinong’s Theory of Objects can be reformulated against a new modal interpretation of Meinongianism that is presented mostly by Graham Priest. Secondly, I would like to propose a strategy which gives uncontroversial restriction to the principle of characterization and (...) which allows to avoid Russell’s argument. The strategy is based on the distinction between object- and metalanguage, and it applies to modal Meinongianism as well as to other so-called Meinongian theories. (shrink)

Graham Priest claims that Asian philosophy is going to constitute one of the most important aspects in 21st-century philosophical research. Assuming that this statement is true, it leads to a methodological question whether the dominant comparative and contrastive approaches will be supplanted by a more unifying methodology that works across different philosophical traditions. In this article, I concentrate on the use of empirical evidence from nonphilosophical disciplines, which enjoys popularity among many Western philosophers, and examine the application of (...) this approach to early Chinese philosophy. I specifically focus on Confucian ethics and the study of altruism in experimental psychology. (shrink)

Graham Priest has influentially claimed that the Sorites paradox is an Inclosure paradox, concluding that his favored dialetheic solution to the Inclosure paradoxes should be extended to the Sorites paradox. We argue that, given Priest’s dialetheic solution to the Sorites paradox, the argument purporting to show that that paradox is an Inclosure is unsound, and discuss some issues surrounding this fact.

Graham Priest’s Theory of Gluons concerns the problem of unity, i.e. what makes an object into a unity? Based on his theory of Gluons, Priest gives his accounts of being and nothingness. In this paper, I will explore the relationship between nothingness and the being of the totality of every object, and then, I will try to demonstrate that, according to Gluon Theory, these two have the same properties, or in other words, nothingness is the being of (...) the totality of every object. (shrink)

Graham Priest has formulated the minimally inconsistent logic of paradox (MiLP), which is paraconsistent like Priest’s logic of paradox (LP), while staying closer to classical logic. We present logics that stand to (the propositional fragments of) strong Kleene logic (K3) and the logic of first-degree entailment (FDE) as MiLP stands to LP. That is, our logics share the paracomplete and the paraconsistent-cum-paracomplete nature of K3 and FDE, respectively, while keeping these features to a minimum in order to (...) stay closer to classical logic. We give semantic and sequent-calculus formulations of these logics, and we highlight some reasons why these logics may be interesting in their own right. (shrink)

The goals of this paper are two-fold: I wish to clarify the Aristotelian conception of the law of non-contradiction as a metaphysical rather than a semantic or logical principle, and to defend the truth of the principle in this sense. First I will explain what it in fact means that the law of non-contradiction is a metaphysical principle. The core idea is that the law of non-contradiction is a general principle derived from how things are in the world. For example, (...) there are certain constraints as to what kind of properties an object can have, and especially: some of these properties are mutually exclusive. Given this characterisation, I will advance to examine what kind of challenges the law of non-contradiction faces; the main opponent here is Graham Priest. I will consider these challenges and conclude that they do not threaten the truth of the law of non-contradiction understood as a metaphysical principle. (shrink)

I argue that Graham Priest's story 'Sylvan's Box' has an attractive consistent reading. Priest's hope that this story can be used as an example of a non-trivial 'essentially inconsistent' story is thus threatened. I then make some observations about the role 'Sylvan's Box' might play in a theory of unreliable narrators.

A logic is called 'paraconsistent' if it rejects the rule called 'ex contradictione quodlibet', according to which any conclusion follows from inconsistent premises. While logicians have proposed many technically developed paraconsistent logical systems and contemporary philosophers like Graham Priest have advanced the view that some contradictions can be true, and advocated a paraconsistent logic to deal with them, until recent times these systems have been little understood by philosophers. This book presents a comprehensive overview on paraconsistent logical systems (...) to change this situation. The book includes almost every major author currently working in the field. The papers are on the cutting edge of the literature some of which discuss current debates and others present important new ideas. The editors have avoided papers about technical details of paraconsistent logic, but instead concentrated upon works that discuss more 'big picture' ideas. Different treatments of paradoxes takes centre stage in many of the papers, but also there are several papers on how to interpret paraconistent logic and some on how it can be applied to philosophy of mathematics, the philosophy of language, and metaphysics. (shrink)

Impossible worlds are representations of impossible things and impossible happenings. They earn their keep in a semantic or metaphysical theory if they do the right theoretical work for us. As it happens, a worlds-based account provides the best philosophical story about semantic content, knowledge and belief states, cognitive significance and cognitive information, and informative deductive reasoning. A worlds-based story may also provide the best semantics for counterfactuals. But to function well, all these accounts need use of impossible and as well (...) as possible worlds. So what are impossible worlds? Graham Priest claims that any of the usual stories about possible worlds can be told about impossible worlds, too. But far from it. I'll argue that impossible worlds cannot be genuine worlds, of the kind proposed by Lewis, McDaniel or Yagisawa. Nor can they be ersatz worlds on the model proposed by Melia or Sider. Constructing impossible worlds, it turns out, requires novel metaphysical resources. (shrink)

Philosophical dialetheism, whose main exponent is Graham Priest, claims that some contradictions hold, are true, and it is rational to accept and assert them. Such a position is naturally portrayed as a challenge to the Law of Non-Contradiction (LNC). But all the classic formulations of the LNC are, in a sense, not questioned by a typical dialetheist, since she is (cheerfully) required to accept them by her own theory. The goal of this paper is to develop a formulation (...) of the Law which appears to be unquestionable, in the sense that the Priestian dialetheist is committed to accept it without also accepting something inconsistent with it, on pain of trivialism—that is to say, on pain of lapsing into the position according to which everything is the case. This will be achieved via (a) a discussion of Priest's dialetheic treatment of the notions of rejection and denial; and (b) the characterization of a negation via the primitive intuition of content exclusion. Such a result will not constitute a cheap victory for the friends of consistency. We may just learn that different things have been historically conflated under the label of 'Law of Non-Contradiction'; that dialetheists rightly attack some formulations of the Law, and orthodox logicians and philosophers have been mistaken in assimilating them to the indisputable one. (shrink)

Mark Colyvan formulates a puzzle about belief in inconsistent entities. As a scientific realist, Colyvan refers to salient instances of inconsistencies in our best science and demonstrates how an indispensability argument may justify belief in an inconsistent entity. Colyvan’s indispensability argument presents a two-horned dilemma: either scientific realists are committed to the possibility of warranted belief in inconsistent objects, or we have a reductio ad absurdum, bringing realism into a crisis. Firstly, this paper follows Graham Priest by opposing (...) the received characterisation of inconsistent belief as a kind of epistemic hell. Secondly, I challenge the Quinean naturalism that underpins Colyvan’s indispensability argument. Then, I reformulate Colyvan’s argument with a fallible naturalism, better equipped to account for certain problem candidates for inconsistent entities. Finally, I contend that—even if indispensable—an inconsistent entity poses no problem for the scientific realist, who can have justified belief in inconsistent entities. (shrink)

The essays collected in this volume are all concerned with the connection between fiction and truth. This question is of utmost importance to metaphysics, philosophy of language, philosophical logic and epistemology, raising in each of these areas and at their intersections a large number of issues related to creation, existence, reference, identity, modality, belief, assertion, imagination, pretense, etc. All these topics and many more are addressed in this collection, which brings together original essays written from various points of view by (...) philosophers of diverse trends. These essays constitute major contributions to the current debates that the connection between truth and fiction continually enlivens, and give a sense of the directions in which research on this question is heading. Contributors: Fred Adams, Frederick Kroon, Robert Howell, Brendan Murday, Terence Parsons, Graham Priest, Erich Rast, Manuel Rebuschi, Marion Renauld, R.M. Sainsbury, Grant Tavinor, Alberto Voltolini. (shrink)

The fourteen papers in this collection offer a variety of original contributions to the epistemology of modality. In seeking to explain how we might account for our knowledge of possibility and necessity, they raise some novel questions, develop some unfamiliar theoretical perspectives, and make some intriguing proposals. Collectively, they advance our understanding of the field. In Part I of this Introduction, I give some general background about the contemporary literature in the area, by sketching a timeline of the main tendencies (...) of the past twenty-five years or so, up to the present debates. Next, I focus on four features that largely characterize the latest literature, and the papers in the present collection in particular: (i) an endorsement of the importance of essentialism; (ii) a shift to a “metaphysics-first” approach to modal epistemology; (iii) a focus on metaphysical modality as opposed to other kinds of modality; and (iv) a preference for non-uniform modal epistemology. In Part II, I present the individual papers in the volume. These are organized around the following four chapters, based on their topic: (A) Skepticism & Deflationism; (B) Essentialism; (C) Non-Essentialist Accounts; (D) Applications. -/- LIST OF CONTRIBUTORS: Francesco Berto; Stephen Biggs & Jessica Wilson; Justin Clark-Doane; Philip Goff; Bob Hale; Frank Jackson; Mark Jago; Boris Kment; Antonella Mallozzi; Graham Priest; Gabriel Rabin; Amie Thomasson; Anand Vaidya & Michael Wallner; Jennifer Wang. -/- The volume is dedicated to the memory of Bob Hale. -/- . (shrink)

According to some critics, Aristotle’s elenctic defence (elenchos, elenchus) of the Law of Non-Contradiction (Metaphysics IV) would be ineffective because it viciously begs the question. After briefly recalling the elenctic refutation of the denier of the Law of Non-Contradiction, I will first focus on Filippo Costantini’s objection to the elenchus, which, in turn, is based on the dialetheic account of negation developed by Graham Priest. Then, I will argue that there is at least one reading of the elenchus (...) that might not be viciously question-begging. In doing so, I will leverage, reinterpret and adjust the distinction between two senses of epistemic dependence, offered by Noah Lemos and originally based on some thoughts about George Edward Moore’s ‘proof of an external world.’ The key point of my counter-objection to recover the elenchus is to use the distinction between a necessary-condition relation between propositions (p only if q) and a grounding relation between facts (the fact that an epistemic agent S believes that p is grounded in the fact that S believes that q), where p and q are the content of S’s beliefs. (shrink)

In his In Contradiction (1987), Priest levelled three powerful arguments against the received Russellian view of change and motion. He argued that his preferred paraconsistent theory of change, the Hegelian account, is immune from these objections. Here I argue that these three arguments are sound, but that the Hegelian account falls pray to them too. I conclude, however, that the Hegelian account is in a better position to tackle these challenges.

The idea that there is a coherent and morally relevant concept of sexual perversions has been increasingly called into question. In what follows, I will be concerned with two recent attacks on the notion of sexual perversion: those of Graham Priest and Igor Primoratz. Priest’s paper is the deeper of the two. Primoratz goes methodically through various accounts of sexual perversion and finds difficulties in them. This is no small task, of course, but unlike Priest he (...) does not attempt to provide any diagnosis of why any attempt to analyse the concept of sexual perversion must fail. Priest argues that sexual perversion is an “inapplicable concept”: the presuppositions that would allow us to make sense of the notion have been rightly rejected. Without the theoretical backdrop of an Aristotelian moral teleology, we cannot provide a satisfactory account of sexual perversion, for only such a teleological world-view allows us to give some sense to the idea that a sexual practice might be morally wrong because it is unnatural. Priest surveys accounts of perversion that don’t appeal to any idea of unnaturalness and rejects them—rightly I believe. But, Priest argues, Aristotle’s own moral teleology is part and parcel of his wider views about purpose in nature. This natural teleology has been shown to be explanatorily superfluous. Though some sciences still talk of functions, this can be understood in terms of contributions to evolutionary survival. Though there is considerable disagreement about the details of the right account of function, all versions of this scientifically respectable teleology are morally neutral: it would not follow from the fact that homosexual intercourse does nothing to propagate the agents’ genetic material to future generations that it is therefore morally wrong. Here too I think Priest is right. He also considers what he calls “Aristotelian revivalism” in Roger Scruton’s account of sexual perversion. I think Priest sells Aristotelianism short. I have no interest in defending Scruton’s own understanding of the Aristotelian moral framework nor his particular account of sexual perversion. I shall, however, argue that Aristotelian moral philosophy provides a more useful framework for thinking about these issues than Priest implies, and attempt to defend an account of sexual perversion within the context of this framework. (shrink)

In his book review of Graham Priest's The Fifth Corner of Four, Mark Siderits, while criticising Priest's philology, suggests that Priest's work is 'of considerable interest' for two reasons. First, 'when two independent traditions use similar methods to work on similar issues, it is always possible that one may have hit on approaches that the other missed'. Second, 'the decentering that can be induced by looking at another tradition may trigger fresh insights, even if those insights (...) are not ones that were actually developed by the tradition marked 'other''. The main task of this paper is to unpack Siderits' thought. By analysing some of Priest's work, I will suggest a decentering that must have taken place in China when Buddhism was 'exported to China in Buddhist shipping containers'. For anyone familiar with the forms of Buddhist philosophy developed in India, various forms of Chinese Buddhism can often look strange. Some ideas that were debated and defended by Indian Buddhists do not appear anywhere in Chinese Buddhism and some assumptions have been quietly added to Buddhism by Chinese Buddhists. By showing that Priest's work brings out the 'innovation' that Chinese Buddhists gave to Buddhism, I will suggest that it is this decentering that Siderits suggests Priest makes use of. (shrink)

The recent literature on Nāgārjuna’s catuṣkoṭi centres around Jay Garfield’s (2009) and Graham Priest’s (2010) interpretation. It is an open discussion to what extent their interpretation is an adequate model of the logic for the catuskoti, and the Mūla-madhyamaka-kārikā. Priest and Garfield try to make sense of the contradictions within the catuskoti by appeal to a series of lattices – orderings of truth-values, supposed to model the path to enlightenment. They use Anderson & Belnaps's (1975) framework of (...) First Degree Entailment. Cotnoir (2015) has argued that the lattices of Priest and Garfield cannot ground the logic of the catuskoti. The concern is simple: on the one hand, FDE brings with it the failure of classical principles such as modus ponens. On the other hand, we frequently encounter Nāgārjuna using classical principles in other arguments in the MMK. There is a problem of validity. If FDE is Nāgārjuna’s logic of choice, he is facing what is commonly called the classical recapture problem: how to make sense of cases where classical principles like modus pones are valid? One cannot just add principles like modus ponens as assumptions, because in the background paraconsistent logic this does not rule out their negations. In this essay, I shall explore and critically evaluate Cotnoir’s proposal. In detail, I shall reveal that his framework suffers collapse of the kotis. Furthermore, I shall argue that the Collapse Argument has been misguided from the outset. The last chapter suggests a formulation of the catuskoti in classical Boolean Algebra, extended by the notion of an external negation as an illocutionary act. I will focus on purely formal considerations, leaving doctrinal matters to the scholarly discourse – as far as this is possible. (shrink)

In ‘Towards a Solution to the Sorites Paradox’, Graham Priest gives us a new account of the sorites based on fuzzy logic. The novelty lies in the suggestion that truth-value assignments should themselves be treated as fuzzy objects, i.e., objects about which we can make fuzzy identity statements. I argue that Priest’s solution does not have the explanatory force that Priest advocates. That is, it does not explain why we find the existence of a cut-off point (...) counter-intuitive. I also argue that this sort of explanation calls for a general theory that goes beyond the special case of linguistic vagueness, for the phenomenon is at bottom not linguistic. (shrink)

I consider a familiar argument for two-boxing in Newcomb's Problem and find it defective because it involves a type of divergence from standard Baysian reasoning, which, though sometimes justified, conflicts with the stipulations of the Newcomb scenario. In an appendix, I also find fault with a different argument for two-boxing that has been presented by Graham Priest.

This article is an inquiry into how the relationship between the principle of non-contradiction and the limits of thought has been understood by thinkers as diverse as Hegel, Heidegger, Levinas, and Graham Priest. While Heidegger and Levinas focus on the question of temporality and Priest takes a formal approach, all these philosophers effectively maintain that the principle of non-contradiction imposes a restriction on thought that disables it from adequately accounting for its own limits and thus what lies (...) beyond those limits, the implication being that the violation of the principle is necessary for such an accounting to take place. However, the ultimate argument here is that, contrary to Priest’s interpretation, Hegel’s philosophy can be convincingly read as supporting the idea that the mind’s ability to go beyond any particular limit of thought can actually be said to involve an adherence to a normative demand to locate and dispel the contradictions that emerge through the very setting of determinative limits. This is a non-formal consistency that evinces a “logic” that is unknowingly followed by the Heideggerian and Levinasian phenomenological philosophies of transcendence. (shrink)

The view that contradictions cannot be true has been part of accepted philosophical theory since at least the time of Aristotle. In this regard, it is almost unique in the history of philosophy. Only in the last forty years has the view been systematically challenged with the advent of dialetheism. Since Graham Priest introduced dialetheism as a solution to certain self-referential paradoxes, the possibility of true contradictions has been a live issue in the philosophy of logic. Yet, despite (...) the arguments advanced by dialetheists, many logicians and philosophers still hold the opinion that contradictions cannot be true. -/- Rather than advocating the truth of certain contradictions, this thesis offers a different challenge to the classical logician. By showing that it can be philosophically coherent to propose that true contradictions are metaphysically possible, the thesis suggests that the classical logician must do more than she currently has to justify her confidence in the impossibility of true contradictions. Simply fighting off the dialetheist’s putative examples of true contradictions at the actual world isn’t enough to justify the classical logician’s conclusion that true contradictions are impossible. -/- To aid the thesis dialectically, we introduce a new position, absolutism, which hypothesises that it’s metaphysically possible for at least one contradiction to be true, contrasting with the dialetheic hypothesis that some contradictions are true in the actual world. We demonstrate that absolutism can be given a philosophically coherent interpretation, an appropriate logic, and that certain criticisms are completely toothless against absolutism. The challenge put to the classical logician is then: On what logical or philosophical grounds can we rule out the metaphysical possibility of true contradictions? (shrink)

Modal Meinongianism is a form of Meinongianism whose main supporters are Graham Priest and Francesco Berto. The main idea of modal Meinongianism is to restrict the logical deviance of Meinongian non-existent objects to impossible worlds and thus prevent it from “contaminating” the actual world: the round square is round and not round, but not in the actual world, only in an impossible world. In the actual world, supposedly, no contradiction is true. I will show that Priest’s semantics, (...) as originally formulated in Towards Non-being, tell us something different. According to certain models, there are true contradictions in the actual world. Berto and Priest have noticed this unexpected consequence and have suggested a solution, but I will show that their solution is highly questionable. In the last section of this paper, I will introduce a new and simpler version of modal Meinongianism that avoids the problem. (shrink)

The article makes an analysis of a paraconsistent solution to the liar paradox, namely, Priest’s solution. Paraconsistent logics are characterized, in opposition to classical logic, as rejecting the Principle of Explosion, which says that “from a contradiction everything follows”. Priest, in turn, is a dialetheist, an interpretation of paraconsistency that admits the truth of contradictions. His answer to the liar paradox, therefore, accepts the liar sentence as being a truly paradoxical sentence using LP, the “Logic of Paradox. Then, (...) we propose some critiques of his position. Finally, we evaluate Priest’s solution to the paradox in comparison with Tarski and Kripke canonical solutions. (shrink)

In this article I define a strong conditional for classical sentential logic, and then extend it to three non-classical sentential logics. It is stronger than the material conditional and is not subject to the standard paradoxes of material implication, nor is it subject to some of the standard paradoxes of C. I. Lewis’s strict implication. My conditional has some counterintuitive consequences of its own, but I think its pros outweigh its cons. In any case, one can always augment one’s language (...) with more than one conditional, and it may be that no single conditional will satisfy all of our intuitions about how a conditional should behave. Finally, I suspect the strong conditional will be of more use for logic rather than the philosophy of language, and I will make no claim that the strong conditional is a good model for any particular use of the indicative conditional in English or other natural languages. Still, it would certainly be a nice bonus if some modified version of the strong conditional could serve as one. -/- I begin by exploring some of the disadvantages of the material conditional, the strict conditional, and some relevant conditionals. I proceed to define a strong conditional for classical sentential logic. I go on to adapt this account to Graham Priest’s Logic of Paradox, to S. C. Kleene’s logic K3, and then to J. Łukasiewicz’s logic Ł, a standard version of fuzzy logic. (shrink)

This essay offers an account of Kierkegaard’s view of the limits of thought and of what makes this view distinctive. With primary reference to Philosophical Fragments, and its putative representation of Christianity as unthinkable, I situate Kierkegaard’s engagement with the problem of the limits of thought, especially with respect to the views of Kant and Hegel. I argue that Kierkegaard builds in this regard on Hegel’s critique of Kant but that, against Hegel, he develops a radical distinction between two types (...) of thinking and inquiry: the ‘aesthetic-intellectual’ and the ‘ethico-religious’. I clarify this distinction and show how it guides Kierkegaard’s conception of a form of philosophical practice that involves drawing limits to the proper sphere of disinterested contemplation. With reference to two rival interpretations of Kierkegaard’s approach to the limits of thought—which I call ‘bullet-biting’ and ‘relativizing’—I further show how my ‘disambiguating’ account can better explain how, and why, his work courts a form of self-referential incoherence, in which it appears that certain limits of thought are at once affirmed and violated. (shrink)

One might ask of two or more texts—what can be inferred from them, taken together? If the texts happen to contradict each other in some respect, then the unadorned answer of standard logic is EVERYTHING. But it seems to be a given that we often successfully reason with inconsistent information from multiple sources. The purpose of this paper is to attempt to develop an adequate approach to accounting for this given.

Philosophy and Phenomenological Research, EarlyView.

Robert Audi’s Seeing, Knowing, and Doing argues that knowledge does not entail justification, given a broadly externalist conception of knowledge and an access internalist conception of justification, where justification requires the ability to cite one’s grounds or reasons. On this view, animals and small children can have knowledge while lacking justification. About cases like these and others, Audi concludes that knowledge does not entail justification. But the access internalist sense of “justification” is but one of at least two ordinary senses (...) of the term. On a broader or looser sense, “justification” means “being in the right” where that involves meeting a standard or norm. I argue that the beliefs of animals and small children can then meet standards or norms associated with truth and knowledge such that their beliefs may count as justified in this broader or looser sense. I then question whether knowledge fails to entail justification on this broader sense. (shrink)

This chapter states the contrast between presumptivism about testimonial warrant (often called anti-reductionism) and strict reductionism (associated with Hume) about testimonial warrant. Presumptivism sees an analogy with modest foundationalism about perceptual warrant. Strict reductionism denies this analogy. Two theoretical frameworks for these positions are introduced to better formulate the most popular version of persumptivism, a competence reliabilist account. Seven arguments against presumptivism are then stated and critiqued: (1) The argument from reliability; (2) The argument from reasons; (3) the argument from (...) positive reasons; (4) the argument from negative reasons; (5) the argument from agency; (6) the argument from psychological force; and (7) the argument from gullibility. If presumptivm is false, it is not for any of these arguments. (shrink)

This introductory article outlines how this special issue contributes to existing scholarship that calls for a rethinking and re-evaluation of common assumptions about early modern philosophy. One way of challenging existing narratives is by questioning what role systems or systematicity play during this period. Another way of rethinking early modern philosophy is by considering assumptions about the role of philosophy itself and how philosophy can effect change in those who form philosophical beliefs or engage in philosophical argumentation. A further way (...) of advancing early modern scholarship is by examining the tight links between early modern views on metaphysics and epistemology, on the one hand, and moral, social, and political philosophy, on the other hand. Moreover, there are ongoing debates whether and how the traditional distinction between rationalism and empiricism, which has been questioned for several reasons, should be replaced. It has been proposed to replace it with a distinction between experimental and speculative philosophy, but this distinction cannot easily accommodate early modern debates concerning moral, social, and political philosophy. In addition to highlighting several ways how early modern philosophy has and can be rethought, we summarize how the papers in this special issue contribute to these ongoing efforts. (shrink)

Tyler Burge famously argues in his 1993 paper "Content Preservation" that it is not only a priori true that we enjoy a prima facie warrant to take what others assert as true, but also that there our warrant to believe what we are told in certain special cases is a priori. So just as our warrant for believing certain mathematical truths might be a priori, so too there are cases of belief through testimony that are a priori. Then in a (...) 2013 Postscript to "Content Preservation" he took it all back. All of Burge's ideas and arguments for and against are interesting and important, and deepen our understanding of testimony, comprehension, warrant, and the a priori. But his ideas and arguments are hard to understand. This paper explains all of ideas and arguments, both for and against, in a clear and comprehensive way. Along the way, Anna-Sara Malmgren's interpretation and criticism of Burge's position is also expounded and criticized. (shrink)