A number of contemporary philosophers think that the unqualified statement “X is unspeakable” faces the danger of self-referential absurdity: if this statement is true, it must simultaneously be false, given that X is speakable by the predicate word “unspeakable.” This predicament is in this chapter formulated as an argument that I term the “ineffability paradox.” After examining the Buddhist semantic theory of apoha (exclusion) and an apoha solution to the issue, I resort to a few Chinese Buddhist and (...) Hindu philosophical materials to rationally reconstruct a strategy for resolving the paradox. By introducing the mode of expression termed “indication,” together with the relevant notions of superimposition and of gesturing beyond the horizon, I show that expressing the ineffable does not necessarily involve irresoluble contradiction. It is also suggested that philosophers may need to acknowledge the relevance of the notion of ineffability for contemporary philosophizing. (shrink)

Saying that x is ineffable seems to be paradoxical – either I cannot say anything about x, not even that it is ineffable – or I can say that it is ineffable, but then I can say something and it is not ineffable. In this article, I discuss Alston’s version of the paradox and a solution proposed by Hick which employs the concept of formal and substantial predicates. I reject Hick’s proposal and develop a different account based on some (...) passages from Pseudo-Dionysius’ Mystica Theologia. ‘God is ineffable’ is a metalinguistic statement concerning propositions about God: not all propositions about God are expressible in a human language. (shrink)

In this paper, I analyze the concept of ineffability: what does it mean to say that something cannot be said? I begin by distinguishing ineffability from paradox: if something cannot be said truly or without contradiction, this is not an instance of ineffability. Next, I distinguish two different meanings of ‘saying something’ which result from a fundamental ambiguity in the term ‘language’, viz. language as a system of symbols and language as a medium of communication. Accordingly, (...) ‘ineffability’ is ambiguous, too, and we should make a distinction between weak and strong ineffability. Weak ineffability is rooted in the deficiencies of a particular language while strong ineffability stems from the structure of a particular cognitive system and its capacities for conceptual mental representation. Mental contents are only sayable if we are able to conceptualize them and then create signs to represent them in communication. (shrink)

While physicists know how to use quantum mechanics, there is no consensus on what quantum mechanics is a mechanics of. The aim of this paper is to introduce the beginning of what might turn out to be an interpretation of quantum mechanics—one that leaves all calculated probabilities intact. The basic idea is that quantum mechanics describes the objective world, but there must be added to it ineffable variables, one of which is the temporal 'now'. Ineffable variables are not 'hidden variables'.

Ineffability is a long-time partner of the philosophy of religion and mysticism. Through apophatic conceptions of the divine, it can act to guarantee the transcendence of the divine, elevate it to something beyond our conceptions. It has also held the central role in defining if not the nature, then at least the characteristics of mystical experience. Sometimes it is that which affirms the unique nature of mystical experience, and sometimes it is what challenges the concept of mysticism as incoherent (...) and paradoxical. In this article, I will explore if there could be a Being Ineffable that unites both the mystical experience and its (purportedly) transcendent object, while acknowledging the problem of coherence that ineffability entails. I will do so by forming an argument for ineffability that attempts to both validate and define absolute ineffability as the point of convergence between three meanings of Being Ineffable: as a definition of absolute (ineffability), as a mystical experience of it, and finally, as the Ineffable, that is, the God/Absolute/Ultimate; all the meanings are held together by an argument from ineffability—a permeating and silently expressed attempt to turn ineffability from its usual role of a negation into a necessary affirmation. (shrink)

This paper is about the relevance of the ineffable and the singular to hermeneutics. I respond to standard criticisms of Friedrich Schleiermacher by Karl Barth and Hans-Georg Gadamer in order to clarify his understanding of language, interpretation, and religion. Schleiermacher’s “indicative hermeneutics” is developed in the context of the ethical significance of communication and the ineffable. The notion of trace is employed in order to interpret the paradox of speaking about that which cannot be spoken. The trace is not (...) a brute singularity but bears a fundamental relationship to the word—and ultimately the word of God—for Schleiermacher. (shrink)

Seeing of emptiness and mystical experience — the case of Madhyamaka: The problem of Buddhist religiosity is one of the most classic problems of Buddhist studies. A particular version of this issue is the search for mystical experience in Buddhism. This is due to the conviction that mystical experience is the essence of religious experience itself. The discovery of such an alleged experience fuels comparative speculations between Buddhism and the philosophical and religious traditions of the Mediterranean area. Madhyamaka is the (...) Buddhist tradition which many researchers saw as the fulfillment of such mystical aspirations in Buddhism. In this paper I specify the standard parameters of mystical experience (non‑conceptuality, ineffability, paradoxicality, silence, oneness, fullness) and I conclude that they either cannot be applied to Madhyamaka or that the application is only illusory. (shrink)

Hegel's most interesting and controversial claims about nonconceptual knowledge arise in contexts of value. This paper examines the relation between nonconceptual and conceptual knowledge in Hegel's Phenomenology, specifically in connection with early Greek aesthetics. I take up Hegel's claim that the ancient Greeks expressed in their myths, religious narratives, sculpture, and artistic materials certain high powered philosophical truths which they shouldn't express in words. I raise a paradox about his claims and show how his claims about ineffable knowledge clash (...) with his general propositional criterion of knowledge, namely, that for something to count as knowledge it must be expressible in words. However I argue that Hegel's thoughts about the matter were coherent and I solve the paradox. (shrink)

This article first defines the absolute discourse, then discusses its possibility in theology, as well as the relationships between language, thought, and reality as they derive from the spirituality and life of the Eastern Church. Theology must face several problems—including the paradox of transcendence, the violence of metaphysics, onto-theology, and the duplicity of language itself—, but the Revelation of the Absolute itself legitimizes the theological discourse. By using both affirmations and negations, theology reveals an iconic structure of discourse that (...) opens itself towards life and spirituality. The conclusion is that, in the absolute discourse of theology, words, even ineffable ones, are insufficient without life. (shrink)

This chapter focuses on Daoist praxeology and language in order to build something of a moral realist position (the contours of which may differ from most western versions insofar as it need not commit to moral cognitivism) that hinges on the seemingly paradoxical notions of ineffable moral truths and non-transferable moral skill.

Mahayana Buddhist philosophers’ attitude toward language is notoriously negative. The transcendental reality is often said to be ineffable. One’s obsession to apprehend the truth through words is an intellectual disease to be cured Attachment to verbal and conceptual proliferation enslaves oneself in the afflictive circle of life and death. Nevertheless, no Buddhist can afford to overlook the significance of language in preaching Buddhist dharmas as well as in day-to-day transactions. The point is not that of keeping silence. Rather, one should (...) understand and use language in such a way that one alludes to the unsayable reality and somehow escapes the bewitchment of language. Perhaps with this realization in mind, Mahayana Buddhist metaphysicians had fostered the penchant for using, at the sentential level, denials, negations and paradoxes to couch their views. In a similar vein but mainly at the word level, Dignaga (ca. 480-540 CE) the Yogacara epistemologist’ offered us a theory of language known as apoha doctrine in his landmark work Pramiinasamuccaya (henceforth PS). It is the purpose of this article to construe the doctrine. (shrink)

It is argued that, although there are no ineffable truths, the concept of ineffability nevertheless does have application—to certain states of knowledge. Towards the end of the essay this idea is related to religion: it is argued that the language that results from attempting (unsuccessfully) to put ineffable knowledge into words is very often of a religious kind. An example of this is given at the very end of the essay. This example concerns the Euthyphro question: whether what is (...) right is right because God wills it, or whether God wills it because it is right. (shrink)

Though largely neglected by philosophers, the concept of ineffability is integral to the Christian mystical tradition, and has been part of almost every philosophical discussion of religious experience since the early twentieth century. After a brief introduction, this article surveys the most important discussions of divine ineffability, observing that the literature presents two mutually reinforcing obstacles to a coherent account of the concept, creating the impression that philosophical reflection on the subject had reached an impasse. The article goes (...) on to survey some more recent work, which draws on the conceptual resources of existential phenomenology, pragmatism, and the later Wittgenstein. It shows that this work has made possible a new philosophical account of divine ineffability that surmounts the obstacles, overcomes the impasse and makes divine ineffability, once again, a live option in philosophy of religion. The article concludes with some brief remarks on how this alternative approach reflects recent trends in the discipline as a whole and has the potential to make a valuable contribution to live research questions in epistemology of religion. (shrink)

This paper discusses the nonconceptual theory of mystical ineffability which claims that mystical experiences can’t be expressed linguistically because they can’t be conceptualized. I discuss and refute two objections against it: (a) that unconceptualized experiences are impossible, and (b) that the theory is ad hoc because it provides no reason for why mystical experiences should be unconceptualizable. I argue against (a) that distinguishing different meanings of ‘object of experience’ leaves open the possibility of non-empty but objectless nonconceptual experiences. I (...) show that (b) is a valid objection but can be countered by a new theory of mystical non-conceptuality: mystical experiences are not conceptual because the specific mode of mystical consciousness prevents conceptualization. The dissolution of the subjectivity of consciousness during mystical experiences undermines the very foundation of the possibility of conceptual thought and thus renders them ineffable. (shrink)

In the first two sections of this reply article, I provide a brief introduction to the topic of ineffability and a summary of Ineffability and Religious Experience. This is followed, in section 3, by some reflections in reply to the response articles by Professors Metz and Cooper. Section 4 presents some concluding remarks on the future of philosophy of religion in the light of the most recent philosophical work on ineffability.

[A. W. Moore] Criteria of ineffability are presented which, it is claimed, preclude the possibility of truths that are ineffable, but not the possibility of other things that are ineffable—not even the possibility of other things that are non-trivially ineffable. Specifically, they do not preclude the possibility of states of understanding that are ineffable. This, it is argued, allows for a reappraisal of the dispute between those who adopt a traditional reading of Wittgenstein’s Tractatus and those who adopt the (...) new reading recently championed by Cora Diamond, James Conant, and others. By maintaining that what the nonsense in the Tractatus is supposed to convey is ineffable understanding, rather than ineffable truth, we can do considerable justice to each of these readings. We can also do considerable justice to the Tractatus. /// [Peter Sullivan] Moore proposes to cut between 'traditional' and 'new' approaches to the Tractatus, suggesting that Wittgenstein's intention is to convey, through the knowing use of nonsense, ineffable understanding. I argue, first, that there is indeed room for a proposal of Moore's general kind. Secondly, though, I question whether Moore's actual proposal is not more in tune with Wittgenstein's later thought than with the attitude of the Tractatus. (shrink)

Ronald de Sousa is one of the few analytic philosophers to have explored the ineffability of emotion. Ineffability arises, for de Sousa, from attempts to translate experience, which involves non-conceptual content, into language, which involves conceptual content. As de Sousa himself rightly notes, such a characterization construes all perceptual experience as ineffable and does not explain what might set emotional ineffability apart. I build on de Sousa’s insights regarding what makes emotional ineffability distinctive by highlighting that (...) in the case of emotion the content in question is, crucially, evaluative. Evaluative content has normativity that makes the ineffability of emotion both particularly salient as well as particularly relevant, as the way in which an object is valuable is felt to be merited despite the experience’s ineffability. After proposing an improved working definition of emotional ineffability, I move to the question of how language and emotional experience interact, and whether these interactions can be evaluated in any systematic way. While de Sousa is pessimistic regarding the prospects of such an evaluation, I argue that if we move beyond an individual level of analysis it is possible to characterize cases where the ineffability of emotion leaves members of particular social groups vulnerable to a range of epistemic and affective injustices. I argue that we can similarly characterize cases where the ineffability of emotion holds radical potential to challenge and transform unjust social arrangements. I end by proposing that the representational content of emotion involves what I call ‘modal complexity’ and that this makes emotions particularly well-suited to play such radical roles. (shrink)

This essay provides an overview of the ways in which contemporary philosophers have tried to make sense of ineffability as encountered in aesthetic contexts. Section 1 sets up the problem of aesthetic ineffability by putting it into historical perspective. Section 2 specifies the kinds of questions that may be raised with regard to aesthetic ineffability, as well as the kinds of answer each one of those questions would require. Section 3 investigates arguments that seek to locate aesthetic (...) ineffability within the object of aesthetic experiences, i.e. within aesthetic content. Section 4 discusses arguments that seek to locate aesthetic ineffability within the subject of aesthetic experience. (shrink)

My first goal is to motivate a distinctively metaphysical approach to the problem of induction. I argue that there is a precise sense in which the only way that orthodox Humean and non-Humean views can justify induction is by appealing to extremely strong and unmotivated probabilistic biases. My second goal is to sketch what such a metaphysical approach could possibly look like. After sketching such an approach, I consider a toy case that illustrates the way in which such a metaphysics (...) can help us make progress on the problem of induction. (shrink)

Ineffability in Plato is a conundrum. There are at least four dimensions of ineffability in Platonic texts: epistemic (divine), strategic (religious), unspeakability and incommunicability. In this paper, I deal only with the first dimension, which is strictly epistemic in kind, and defend that Plato rejects divine ineffability, namely, the belief that the knowledge of the divine in general is inaccessible to the human mind. Several crucial passages attest to this rejection unequivocally. They show that Plato attached a (...) great philosophical relevance to what I call the equivalenceprinciple, namely, the interdependence or specularity between human and divine intelligence. The assertion of this principle represents the Platonic path to absolute knowledge, which I try to locate in the broader context of the history of philosophy, from early philosophers to Hegel. (shrink)

Benardete paradoxes involve a beginningless set each member of which satisfies some predicate just in case no earlier member satisfies it. Such paradoxes have been wielded on behalf of arguments for the impossibility of an infinite past. These arguments often deploy patchwork principles in support of their key linking premise. Here I argue that patchwork principles fail to justify this key premise.

Mysticism and the sciences have traditionally been theoretical enemies, and the closer that philosophy allies itself with the sciences, the greater the philosophical tendency has been to attack mysticism as a possible avenue towards the acquisition of knowledge and/or understanding. Science and modern philosophy generally aim for epistemic disclosure of their contents, and, conversely, mysticism either aims at the restriction of esoteric knowledge, or claims such knowledge to be non-transferable. Thus the mystic is typically seen by analytic philosophers as a (...) variety of 'private language' speaker, although the plausibility of such a position is seemingly foreclosed by Wittgenstein's work in the Philosophical Investigations. Yorke re-examines Wittgenstein's conclusion on the matter of private language, and argues that so-called 'ineffable' mystical experiences, far from being a 'beetle in a box', can play a viable role in our public language-games, via renewed efforts at articulation. (shrink)

The paradox of pain refers to the idea that the folk concept of pain is paradoxical, treating pains as simultaneously mental states and bodily states. By taking a close look at our pain terms, this paper argues that there is no paradox of pain. The air of paradox dissolves once we recognize that pain terms are polysemous and that there are two separate but related concepts of pain rather than one.

I present and discuss recent work in analytic philosophy of religion on apophaticism and divine ineffability. I focus on three questions: how can we call God ineffable without contradicting ourselves? How can we refer to an ineffable God? What is the point of talking about an ineffable God?

We examine two competing solutions to Benardete paradoxes: causal finitism, according to which nothing can have infinitely many causes, and the unsatisfiable pair diagnosis (UPD), according to which such paradoxes are logically impossible and no metaphysical thesis need be adopted to avoid them. We argue that the UPD enjoys notable theoretical advantages over causal finitism. Causal finitists, however, have levelled two main objections to the UPD. First, they urge that the UPD requires positing a ‘mysterious force’ that prevents paradoxes from (...) arising. Since such a force is implausible, the UPD is in trouble. Second, they employ recombination or patchwork principles to argue that paradoxical situations would be possible if causal finitism were false. Since such situations are not possible, causal finitism is true, and so a substantive metaphysical thesis is needed to avoid the paradoxes. We argue that the UPD proponent can successfully respond to these objections. (shrink)

This paper explores the liar paradox and its implications for logic and philosophical reasoning. It analyzes the paradox using classical logic principles and paraphrases it as "affirmation of the falsity of the very affirmation." The study draws connections between the liar paradox and Hegel's speculative sentence and suggests it functions as a "quasi-speculative sentence." Additionally, it examines parallels with the logocentric predicament and the determinist's assertion, highlighting their paradoxical nature. Through these analyses, the paper aims to illuminate (...) the fundamental paradoxes in our reasoning and logic. (shrink)

This paper explores the relationships between some the problems of the Fermi Paradox (FP), with its variety of possible answers; and the Problem of Induction, and thus the possibility of a Theory of Everything. We seek to improve the hierarchy of plausibility within answers to FP, given by what we call “preference criteria”, among which we particularly highlight culture-independence. We argue that, if the question of whether a Theory of Everything is possible is answered negatively, then FP becomes much (...) more serious than otherwise, and this makes many of FP’s solutions less preferable. This constitutes a further preference criterion. Armed with this tool, we try to outline a network of relative truths between FP and the Problem of Induction, in the form of a cross-answer table. Only two or three combinations of answers survive as preferable: 1) degenerate, pure solipsistic metaphysics; 2) accept Induction and the Anthropic Principle at the same time, thus saying that the human condition is a very rare one in the universe; or 3) that the Theory of Everything exists and its discovery is the Great Filter. This latter possibility is discussed with its implications for the current scientific and economic progress of our civilization. (shrink)

Given any proposition, is it possible to have rationally acceptable attitudes towards it? Absent reasons to the contrary, one would probably think that this should be possible. In this paper I provide a reason to the contrary. There is a proposition such that, if one has any opinions about it at all, one will have a rationally unacceptable set of propositional attitudes—or if one doesn’t, one will end up being cognitively imperfect in some other manner. The proposition I am concerned (...) with is a self-referential propositional attitude ascription involving the propositional attitude of rejection. Given a basic assumption about what constitutes irrationality, and a few assumptions about the nature of cognitively ideal agents, a paradox results. This paradox is superficially like the Liar, but it is importantly different in that no alethic notions are involved at all. As such, it stands independent of the Liar and is not a ‘revenge’ version of it. After setting out the paradox I discuss possible responses. After considering several I argue that one is best off simply accepting that the paradox shows us something surprising and interesting about rationality: that some cognitive shortfall is unavoidable even for ideal agents. I argue that nothing disastrous follows from accepting this conclusion. (shrink)

We regularly intentionally expose ourselves to fictions we take to be likely to elicit in us emotions we generally find unpleasant when prompted by actual states of affairs. This is the so-called “paradox of tragedy”. We contribute to solving the paradox of tragedy by denying that, when fiction-directed, most of these emotions are in themselves unpleasant. We first provide strong evidence that these emotions, such as fear, sadness, or pity, are often enjoyed when fiction-directed. We then advance an (...) explanation of what makes these fiction-directed emotions often not unpleasant, while their reality-directed counterparts are generally so. In the last section, we advance an explanation of what makes fiction-directed emotions often enjoyable, and argue that a complete solution to the paradox of tragedy should be pluralist. (shrink)

Most paradoxes of self-reference have a dual or ‘hypodox’. The Liar paradox (Lr = ‘Lr is false’) has the Truth-Teller (Tt = ‘Tt is true’). Russell’s paradox, which involves the set of sets that are not self-membered, has a dual involving the set of sets which are self-membered, etc. It is widely believed that these duals are not paradoxical or at least not as paradoxical as the paradoxes of which they are duals. In this paper, I argue that (...) some paradox’s duals or hypodoxes are as paradoxical as the paradoxes of which they are duals, and that they raise neglected and interestingly different problems. I first focus on Richard’s paradox (arguably the simplest case of a paradoxical dual), showing both that its dual is as paradoxical as Richard’s paradox itself, and that the classical, Richard-Poincaré solution to the latter does not generalize to the former in any obvious way. I then argue that my argument applies mutatis mutandis to other paradoxes of self-reference as well, the dual of the Liar (the Truth-Teller) proving paradoxical. (shrink)

ABSTRACTIneffability of musical meaning is a frequent theme in music philosophy. However, talk about musical meaning persists and seems to be not only inherently enjoyable and socially acceptable, but also functionally useful. Relying on a phenomenological account of musical meaning combined with a naturalist explanatory attitude, we argue for a novel explanation of how ineffability is a feature of musical meaning and experience and we show why it cannot be remedied by perfecting language or musico-philosophical study.Musical meaning is seen (...) as an experiential phenomenon that consists of layers, some recent, others archaic. As such, musical meaning is strongly characterized by asubjectivity. It is in-between, in a state where the division of subject and object is not yet valid or valid anymore. A naturalistic interplay of experiential layers in music brings about a non-reified dynamics driving for expressions, interpretations, engenderings of subjects and objects or even for political action. Generally speaking, the in-betweenness of musical meaning can never be universally reified or symbolic nor can it ever be “subjective,” “mine” or present “at the origin.”In this view, ineffability has two primary reasons. First, the criteria offered for defining musical meaning are often too strict, resulting in untenable pretensions of universality. Second, the processual and relational nature of the in-between keeps meaning in flux; any snapshot creates a new situation and new meanings. (shrink)

The present work outlines a logical and philosophical conception of propositions in relation to a group of puzzles that arise by quantifying over them: the Russell-Myhill paradox, the Prior-Kaplan paradox, and Prior's Theorem. I begin by motivating an interpretation of Russell-Myhill as depending on aboutness, which constrains the notion of propositional identity. I discuss two formalizations of of the paradox, showing that it does not depend on the syntax of propositional variables. I then extend to propositions a (...) modal predicative response to the paradoxes articulated by an abstraction principle for propositions. On this conception, propositions are “shadows” of the sentences that express them. Modal operators are used to uncover the implicit relation of dependence that characterizes propositions that are about propositions. The benefits of this approach are shown by application to other intensional puzzles. The resulting view is an alternative to the plenitudinous metaphysics of impredicative comprehension principles. (shrink)

Tullmann et Buckwalter (2014) ont récemment soutenu que le paradoxe de la fiction tenait plus de l’illusion que de la réalité. D’après eux, les théories contemporaines des émotions ne fourniraient aucune raison d’adopter une interprétation du terme « existence » qui rende les prémisses du paradoxe incompatibles entre elles. Notre discussion a pour but de contester cette manière de dissoudre le paradoxe de la fiction en montrant qu’il ne prend pas sa source dans les théories contemporaines des émotions. Bien plutôt, (...) son origine se situe dans ce que Radford (1975) décrit comme une incohérence dans nos réactions émotionnelles aux évènements fictionnels et non fictionnels. Malgré ce désaccord, nous concédons à Tullmann et Buckwalter qu’une solution satisfaisante au paradoxe de la fiction doit s’appuyer sur les théories des émotions. Ainsi, en guise de conclusion, nous expliquons comment il convient de comprendre l’incohérence en question et comment les théories des émotions pourraient contribuer à la résolution du paradoxe de la fiction. (shrink)

What José Luis Bermúdez calls the paradox of self-consciousness is essentially the conflict between two claims: (1) The capacity to use first-personal referential devices like “I” must be explained in terms of the capacity to think first-person thoughts. (2) The only way to explain the capacity for having a certain kind of thought is by explaining the capacity for the canonical linguistic expression of thoughts of that kind. (Bermúdez calls this the “Thought-Language Principle”.) The conflict between (1) and (2) (...) is obvious enough. However, if a paradox is an unacceptable conclusion drawn from apparently valid reasoning from apparently true premises, then Bermúdez’s conflict is no paradox. It is rather a conflict between the view that thought must be explained in terms of language, and the view that first person linguistic reference must be explained in terms of first-person thought. Neither view is immediately obvious, and nor is it obvious that the arguments for either are equally compelling. What we have here is a difference of philosophical opinion, not a paradox. (shrink)

This is a one page handout reconstructing the paradox and identifying four solutions in the literature, as well as some concerns about them.

Counterfactuals are somewhat tolerant. Had Socrates been at least six feet tall, he need not have been exactly six feet tall. He might have been a little taller—he might have been six one or six two. But while he might have been a little taller, there are limits to how tall he would have been. Had he been at least six feet tall, he would not have been more than a hundred feet tall, for example. Counterfactuals are not just tolerant, (...) then, but bounded. This paper presents a surprising paradox: If counterfactuals are tolerant and bounded, then we can prove a flat contradiction using natural rules of inference. Something has to go then. But what? (shrink)

This contribution focuses on strategic ineffability in Plato. Strategic ineffability serves different purposes. In Plato, it is mainly used to express a religious feeling of dependence and to emphasize the remoteness of the divine. However, its meaning is not only religious. It is also part of a complex narrative device that often resorts to irony in order to de-emphasize the most arduous and controversial metaphysical speculations. Whereas topoi of affected modesty and unspeakability may only play an aesthetic role, (...) strategic ineffability has to do with relevant communication: it is a way to share with (and induce in) other people feelings, goals and morally relevant beliefs, without entailing any accurate conceptual content. Knowledge is not the primary goal here. The paper argues that Plato, Plotinus and other ancient philosophers used the notion of divine ineffability strategically to share beliefs with their selected audiences and lead their disciples to spiritual change. (shrink)

Supererogatory acts—good deeds “beyond the call of duty”—are a part of moral common sense, but conceptually puzzling. I propose a unified solution to three of the most infamous puzzles: the classic Paradox of Supererogation (if it’s so good, why isn’t it just obligatory?), Horton’s All or Nothing Problem, and Kamm’s Intransitivity Paradox. I conclude that supererogation makes sense if, and only if, the grounds of rightness are multi-dimensional and comparative.

Paradoxes have played an important role both in philosophy and in mathematics and paradox resolution is an important topic in both fields. Paradox resolution is deeply important because if such resolution cannot be achieved, we are threatened with the charge of debilitating irrationality. This is supposed to be the case for the following reason. Paradoxes consist of jointly contradictory sets of statements that are individually plausible or believable. These facts about paradoxes then give rise to a deeply troubling (...) epistemic problem. Specifically, if one believes all of the constitutive propositions that make up a paradox, then one is apparently committed to belief in every proposition. This is the result of the principle of classical logical known as ex contradictione (sequitur) quodlibetthat anything and everything follows from a contradiction, and the plausible idea that belief is closed under logical or material implication (i.e. the epistemic closure principle). But, it is manifestly and profoundly irrational to believe every proposition and so the presence of even one contradiction in one’s doxa appears to result in what seems to be total irrationality. This problem is the problem of paradox-induced explosion. In this paper it will be argued that in many cases this problem can plausibly be avoided in a purely epistemic manner, without having either to resort to non-classical logics for belief (e.g. paraconsistent logics) or to the denial of the standard closure principle for beliefs. The manner in which this result can be achieved depends on drawing an important distinction between the propositional attitude of belief and the weaker attitude of acceptance such that paradox constituting propositions are accepted but not believed. Paradox-induced explosion is then avoided by noting that while belief may well be closed under material implication or even under logical implication, these sorts of weaker commitments are not subject to closure principles of those sorts. So, this possibility provides us with a less radical way to deal with the existence of paradoxes and it preserves the idea that intelligent agents can actually entertain paradoxes. (shrink)

Conscious states—state that there is something it is like to be in—seem both rich or full of detail and ineffable or hard to fully describe or recall. The problem of ineffability, in particular, is a longstanding issue in philosophy that partly motivates the explanatory gap: the belief that consciousness cannot be reduced to underlying physical processes. Here, we provide an information theoretic dynamical systems perspective on the richness and ineffability of consciousness. In our framework, the richness of conscious (...) experience corresponds to the amount of information in a conscious state and ineffability corresponds to the amount of information lost at different stages of processing. We describe how attractor dynamics in working memory would induce impoverished recollections of our original experiences, how the discrete symbolic nature of language is insufficient for describing the rich and high-dimensional structure of experiences, and how similarity in the cognitive function of two individuals relates to improved communicability of their experiences to each other. While our model may not settle all questions relating to the explanatory gap, it makes progress toward a fully physicalist explanation of the richness and ineffability of conscious experience—two important aspects that seem to be part of what makes qualitative character so puzzling. (shrink)

It is widely accepted that there is what has been called a non-hypocrisy norm on the appropriateness of moral blame; roughly, one has standing to blame only if one is not guilty of the very offence one seeks to criticize. Our acceptance of this norm is embodied in the common retort to criticism, “Who are you to blame me?”. But there is a paradox lurking behind this commonplace norm. If it is always inappropriate for x to blame y for (...) a wrong that x has committed, then all cases in which x blames x (i.e. cases of self-blame) are rendered inappropriate. But it seems to be ethical common-sense that we are often, sadly, in position (indeed, excellent, privileged position) to blame ourselves for our own moral failings. And thus we have a paradox: a conflict between the inappropriateness of hypocritical blame, and the appropriateness of self-blame. We consider several ways of resolving the paradox, and contend none is as defensible as a position that simply accepts it: we should never blame ourselves. In defending this startling position, we defend a crucial distinction between self-blame and guilt. (shrink)

. In our research about Fuzzy Time and modeling time, "Unexpected Hanging Paradox" plays a major role. Here, we compare this paradox to the Zeno Paradox and the relations of them with our standard models of continuum and Fuzzy numbers. To do this, we review the project "Fuzzy Time and Possible Impacts of It on Science" and introduce a new way in order to approach the solutions for these paradoxes. Additionally, we have a more general discussion about (...) paradoxes, as Philosophical back ground of the subject and in this way, we introduce the concepts of General View, the first picture, BBF-General View. -/- . (shrink)

I distinguish paradoxes and hypodoxes among the conundrums of time travel. I introduce ‘hypodoxes’ as a term for seemingly consistent conundrums that seem to be related to various paradoxes, as the Truth-teller is related to the Liar. In this article, I briefly compare paradoxes and hypodoxes of time travel with Liar paradoxes and Truth-teller hypodoxes. I also discuss Lewis’ treatment of time travel paradoxes, which I characterise as a Laissez Faire theory of time travel. Time travel paradoxes are impossible according (...) to Laissez Faire theories, while it seems hypodoxes are possible. (shrink)

Any theory of truth must find a way around Curry’s paradox, and there are well-known ways to do so. This paper concerns an apparently analogous paradox, about validity rather than truth, which JC Beall and Julien Murzi call the v-Curry. They argue that there are reasons to want a common solution to it and the standard Curry paradox, and that this rules out the solutions to the latter offered by most “naive truth theorists.” To this end they (...) recommend a radical solution to both paradoxes, involving a substructural logic, in particular, one without structural contraction. In this paper I argue that substructuralism is unnecessary. Diagnosing the “v-Curry” is complicated because of a multiplicity of readings of the principles it relies on. But these principles are not analogous to the principles of naive truth, and taken together, there is no reading of them that should have much appeal to anyone who has absorbed the morals of both the ordinary Curry paradox and the second incompleteness theorem. (shrink)

I present a paradoxical combination of desires. I show why it's paradoxical, and consider ways of responding. The paradox saddles us with an unappealing trilemma: either we reject the possibility of the case by placing surprising restrictions on what we can desire, or we deny plausibly constitutive principles linking desires to the conditions under which they are satisfied, or we revise some bit of classical logic. I argue that denying the possibility of the case is unmotivated on any reasonable (...) way of thinking about mental content, and rejecting those desire-satisfaction principles leads to revenge paradoxes. So the best response is a non-classical one, according to which certain desires are neither determinately satisfied nor determinately not satisfied. Thus, theorizing about paradoxical propositional attitudes helps constrain the space of possibilities for adequate solutions to semantic paradoxes more generally. (shrink)

I use the principle of truth-maker maximalism to provide a new solution to the semantic paradoxes. According to the solution, AUS, its undecidable whether paradoxical sentences are grounded or ungrounded. From this it follows that their alethic status is undecidable. We cannot assert, in principle, whether paradoxical sentences are true, false, either true or false, neither true nor false, both true and false, and so on. AUS involves no ad hoc modification of logic, denial of the T-schema's validity, or obvious (...) revenge. (shrink)

This paper presents and motivates a new philosophical and logical approach to truth and semantic paradox. It begins from an inferentialist, and particularly bilateralist, theory of meaning---one which takes meaning to be constituted by assertibility and deniability conditions---and shows how the usual multiple-conclusion sequent calculus for classical logic can be given an inferentialist motivation, leaving classical model theory as of only derivative importance. The paper then uses this theory of meaning to present and motivate a logical system---ST---that conservatively extends (...) classical logic with a fully transparent truth predicate. This system is shown to allow for classical reasoning over the full (truth-involving) vocabulary, but to be non-transitive. Some special cases where transitivity does hold are outlined. ST is also shown to give rise to a familiar sort of model for non-classical logics: Kripke fixed points on the Strong Kleene valuation scheme. Finally, to give a theory of paradoxical sentences, a distinction is drawn between two varieties of assertion and two varieties of denial. On one variety, paradoxical sentences cannot be either asserted or denied; on the other, they must be both asserted and denied. The target theory is compared favourably to more familiar related systems, and some objections are considered. (shrink)

This paper resolves a paradox concerning colour constancy. On the one hand, our intuitive, pre-theoretical concept holds that colour constancy involves invariance in the perceived colours of surfaces under changes in illumination. On the other, there is a robust scientific consensus that colour constancy can persist in cerebral achromatopsia, a profound impairment in the ability to perceive colours. The first stage of the solution advocates pluralism about our colour constancy capacities. The second details the close relationship between colour constancy (...) and contrast. The third argues that achromatopsics retain a basic type of colour constancy associated with invariants in contrast processing. The fourth suggests that one person-level, conscious upshot of such processing is the visual awareness of chromatic contrasts ‘at’ the edges of surfaces, implicating the ‘colour for form’ perceptual function. This primitive type of constancy sheds new light on our most basic perceptual capacities, which mark the lower borders of representational mind. (shrink)

This paper gives a definition of self-reference on the basis of the dependence relation given by Leitgeb (2005), and the dependence digraph by Beringer & Schindler (2015). Unlike the usual discussion about self-reference of paradoxes centering around Yablo's paradox and its variants, I focus on the paradoxes of finitary characteristic, which are given again by use of Leitgeb's dependence relation. They are called 'locally finite paradoxes', satisfying that any sentence in these paradoxes can depend on finitely many sentences. I (...) prove that all locally finite paradoxes are self-referential in the sense that there is a directed cycle in their dependence digraphs. This paper also studies the 'circularity dependence' of paradoxes, which was introduced by Hsiung (2014). I prove that the locally finite paradoxes have circularity dependence in the sense that they are paradoxical only in the digraph containing a proper cycle. The proofs of the two results are based directly on König's infinity lemma. In contrast, this paper also shows that Yablo's paradox and its nested variant are non-self-referential, and neither McGee's paradox nor the omega-cycle liar paradox has circularity dependence. (shrink)

There are infinitely many ways the world might be, and there may well be infinitely many people in it. These facts raise moral paradoxes. We explore a conflict between two highly attractive principles: a Pareto principle that says that what is better for everyone is better overall, and a statewise dominance principle that says that what is sure to turn out better is better on balance. We refine and generalize this paradox, showing that the problem is faced by many (...) theories of interpersonal aggregation besides utilitarianism, and by many decision theories besides expected value theory. Considering the range of consistent responses, we find all of them to be quite radical. (shrink)