The author believes that large‐scale rationality on the part of the interpretant is essential to his interpretability, and therefore, in his view, to her having a mind. How, then are cases of irrationality, such as akrasia or self‐deception, judged by the interpretant's own standards, possible? He proposes that, in order to resolve the apparent paradoxes, one must distinguish between accepting a contradictory proposition and accepting separately each of two contradictory propositions, which are held apart, which in turn requires to (...) conceive of the mind as containing a number of semi‐independent structures of interlocking beliefs, desires, emotions, memories, and other mental states. (shrink)

Understandably absorbed in technical details, discussion of the semantic paradoxes risks losing sight of broad methodological principles. This chapter sketches a general approach to the comparison of rival logics, and applies it to argue that revision of classical propositional logic has much higher costs than its proponents typically recognize.

Philosophical Issues, Volume 31, Issue 1, Page 355-373, October 2021.

We group the existing variants of the familiar set-theoretical and truth-theoretical paradoxes into two classes: connective paradoxes, which can in principle be ascribed to the presence of a contracting connective of some sort, and structural paradoxes, where at most the faulty use of a structural inference rule can possibly be blamed. We impute the former to an equivocation over the meaning of logical constants, and the latter to an equivocation over the notion of consequence. Both equivocation sources (...) are tightly related, and can be cleared up by adopting a particular substructural logic in place of classical logic. We then argue that our perspective can be justified via an informational semantics of contraction-free substructural logics. (shrink)

In this paper, I try to facilitate the understanding of the concept of ‘omniscience’ by taking into account the terminology developed in Ludwig Wittgenstein’s On Certainty. Thus, I start by explaining why omniscience can be regarded neither as grounded knowledge nor as ungrounded or objective certainty. Instead, omniscience might be considered as subjective certainty, which has the advantage of leaving scope for a doubt that enables and strengthens religious faith. Lastly, I clarify how God’s omniscience would be enriched if He (...) were informed of—without needing to share—our objective certainties, in addition to which I highlight two paradoxes that would arise if we disagreed with God regarding some of our objective certainties. These paradoxes reveal that even though the believer could not understand literally God’s statement, it might strengthen her faith if she realized and accepted that a true and consistent commitment to such statement entails the suspension of her own capacity for judgment. (shrink)

The coordinated attack scenario and the electronic mail game are two paradoxes of common knowledge. In simple mathematical models of these scenarios, the agents represented by the models can coordinate only if they have common knowledge that they will. As a result, the models predict that the agents will not coordinate in situations where it would be rational to coordinate. I argue that we should resolve this conflict between the models and facts about what it would be rational to (...) do by rejecting common knowledge assumptions implicit in the models. I focus on the assumption that the agents have common knowledge that they are rational, and provide models to show that denying this assumption suffices for a resolution of the paradoxes. I describe how my resolution of the paradoxes fits into a general story about the relationship between rationality in situations involving a single agent and rationality in situations involving many agents. (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.

In this note, we review paradoxes like Russell’s, the Liar, and Curry’s in the context of intuitionistic logic. One may observe that one cannot blame the underlying logic for the paradoxes, but has to take into account the particular concept formations. For proof-theoretic semantics, however, this comes with the challenge to block some forms of direct axiomatizations of the Liar. A proper answer to this challenge might be given by Schroeder-Heister’s definitional freedom.

As the title of this paper indicates, I’m going to discuss what we ought to do in situations where our actions affect future generations. More specifically, I shall focus on the moral problems raised by cases where our actions affect who’s going to live, their number and their well being. I’ll start, however, with population axiology. Most discussion in population ethics has concentrated on how to evaluate populations in regard to their goodness, that is, how to order populations by the (...) relations “is better than” and “is as good as”. This field has been riddled with “paradoxes” which purport to show that our considered beliefs are inconsistent in cases where the number of people and their welfare varies. Derek Parfit’s Mere Addition Paradox is a case in point. The main question of my paper concerns the implication of such axiological paradoxes for normative theories. Do the axiological paradoxes translate into paradoxes for normative theories or will they, as some believe, disappear if we switch to a normative framework? (shrink)

Nobody interested in philosophy need be deterred by Kant's reputation for difficulty from familiarizing himself with his ethics. While the Critique of Pure Reason and his other non-ethical works are very hard to follow, the first two chapters of the Fundamental Principles of the Metaphysic of Morals at least are clear and straightforward and presuppose little previous acquaintance with philosophy. The third chapter is not about ethics as such but about the metaphysical problem of freedom and should be omitted by (...) anyone who is not familiar with Kant's general philosophy, but the first two. (shrink)

Winner of the 2014 Edward Goodwin Ballard Award for an Outstanding Book in Phenomenology, awarded by the Center for Advance Research in Phenomenology. -/- Merleau-Ponty and the Paradoxes of Expression offers a comprehensive reading of the philosophical work of Maurice Merleau-Ponty, a central figure in 20th-century continental philosophy. -/- By establishing that the paradoxical logic of expression is Merleau-Ponty's fundamental philosophical gesture, this book ties together his diverse work on perception, language, aesthetics, politics and history in order to establish (...) the ontological position he was developing at the time of his sudden death in 1961. Donald A. Landes explores the paradoxical logic of expression as it appears in both Merleau-Ponty’s explicit reflections on expression and his non-explicit uses of this logic in his philosophical reflection on other topics, and thus establishes a continuity and a trajectory of his thought that allows for his work to be placed into conversation with contemporary developments in continental philosophy. The book offers the reader a key to understanding Merleau-Ponty's subtle methodology and highlights the urgency and relevance of his research into the ontological significance of expression for today's work in art and cultural theory. (shrink)

According to the revision theory of truth, the binary sequences generated by the paradoxical sentences in revision sequence are always unstable. In this paper, we work backwards, trying to reconstruct the paradoxical sentences from some of their binary sequences. We give a general procedure of constructing paradoxes with specific binary sequences through some typical examples. Particularly, we construct what Herzberger called “unstable statements with unpredictably complicated variations in truth value.” Besides, we also construct those paradoxes with infinitely many (...) finite primary periods but without any infinite primary period, those with an infinite critical point but without any finite primary period, and so on. This is the first formal appearance of these paradoxes. Our construction demonstrates that the binary sequences generated by a paradoxical sentence are something like genes from which we can even rebuild the original sentence itself. (shrink)

My aim in this paper is to develop a unified solution to two paradoxes of bounded rationality. The first is the regress problem that incorporating cognitive bounds into models of rational decisionmaking generates a regress of higher-order decision problems. The second is the problem of rational irrationality: it sometimes seems rational for bounded agents to act irrationally on the basis of rational deliberation. I review two strategies which have been brought to bear on these problems: the way of weakening (...) which responds by weakening rational norms, and the way of indirection which responds by letting the rationality of behavior be determined by the rationality of the deliberative processes which produced it. Then I propose and defend a third way to confront the paradoxes: the way of level separation. (shrink)

In the Western philosophical tradition, the earliest recognized paradoxes are attributed to Zeno of Elea (ca. 490–430 B.C.E.) and to Eubulides of Miletus (fl. 4th century B.C.E.). In the Chinese tradition, the earliest and most well-known paradoxes are ascribed to figures associated with the “School of Names” (ming jia 名家), a diverse group of Warring States (479–221 B.C.E.) thinkers who shared an interest in language, logic, and metaphysics. Their investigations led some of these thinkers to propound puzzling, paradoxical (...) statements such as “Today go to Yue but arrive yesterday,” “White horses are not horses,” and “Mountains and gorges are level.” Such paradoxes seem to have been intended to highlight fundamental features of reality or subtleties in semantic relations between words and things. Why were thinkers who advanced paradoxes categorized as a school of “names”? In ancient China, philosophical inquiry concerning language and logic focused on the use of “names” (ming 名, also terms, labels, or reputation) and their semantic relations to “stuff” (shi 實, also objects, features, events, or situations). Hence for classificatory purposes, second-century B.C.E. Han-dynasty archivists grouped together assorted pre-Han figures whose most prominent ideas seemed to concern the relation between names and stuff—or at least strange, unorthodox uses of names—and dubbed them a school or lineage (jia 家) devoted to the study of names. Unfortunately, both the label and the grouping are misleading. Historically, the school was a retrospective, taxonomical fiction. The figures classified under the “School of Names” never formed a distinct circle, movement, tradition, or line of influence devoted to any particular doctrine, theme, method, or way of life. Their intellectual interests overlapped at most only partly, while also overlapping extensively with those of texts associated with other schools or traditions, such as the Mohist “Dialectics” 墨辯, the Zhuangzi 莊子, the Xunzi 荀子, and the Annals of Lü Buwei 呂氏春秋. What perhaps does set the School of Names apart is that some (though not all) of the figures associated with it apparently delighted in propounding paradoxical or preposterous sayings, while the other texts just mentioned generally (though not exclusively) seek to explain and debunk such utterances. (shrink)

1 Background for the Uninitiated RICHMOND CAMPBELL Paradoxes are intrinsically fascinating. They are also distinctively ...

In this dissertation I examine the sceptical problem of rule following presented by Saul Kripke in his interpretation of Ludwig Wittgenstein's later works: Do any facts determine what rule we were following in our apparently rule-following activities such as the use of language? I distinguish three ways of understanding this question--modest scepticism, radical scepticism, and metascepticism--and address them in Parts 1, 2 and 3 of the dissertation, respectively. ;Part 1 discusses modest scepticism, which asserts that no finite facts about humans (...) can determine rules which have infinitely many possible applications. I resolve this apparent conflict between the finite and the infinite by incorporating the recursiveness of rule applications into the theory of rules. ;Part 2 discusses radical scepticism, which asserts that no facts determine what normative rules we were following. I show first that this challenge has a wider scope than the Humean Thesis of the underivability of ought from is, and that as a result, the radical sceptic can refute attitudinal theories of norms, which have been considered a possible response to the Humean challenge. I then propose a solution to radical scepticism which explains our practice and beliefs about normative rules without assuming the existence of rule-determining facts. Unlike the solution Kripke ascribes to Wittgenstein, it offers no justification of our practice and beliefs about normative rules. Some methodological implications of the solution are also explored. ;Part 3 discusses metascepticism about rule following, whose challenge extends to the rules used for the very discussion of rule following. I examine first whether such a challenge is self-undermining in that it makes the sceptical argument itself impossible. I propose an extended form of reductio ad absurdum argument by which the metasceptic can challenge rules in general, including those used in the sceptical argument. Then I argue that the solution to radical scepticism given in Part 2 survives metascepticism as well. (shrink)

La 4e de couverture indique : "La pensée et l'œuvre de Pierre Bayle (1647-1706) forment une énigme, depuis toujours objet d'un conflit des interprétations. En butte aux persécutions qui précédèrent la révocation de l'édit de Nantes, il préféra l'exil à Rotterdam. Sa revue les Nouvelles de la République des lettres constitua une des premières formes de l'espace public européen, et on a pu dire de son fascinant Dictionnaire historique et critique (1696) qu'il constitua la matrice des Lumières. Dans son Commentaire (...) philosophique, où il fait l'apologie de la tolérance, il critique l'oppression religieuse de « la France toute catholique ». Mais dans son Avis aux Réfugiés, il fustige toute sédition religieuse des protestants réfugiés. L'intrication de ces deux lignes, qui remontent de Hobbes et Machiavel, d'une part, et d'autre part de Milton et Bodin, jusque chez Calvin, aide à comprendre les paradoxes politiques, et politico-théologiques, fondateurs d'une modernité aujourd'hui en crise. En cherchant à penser ces « différends », Bayle invente un style d'écriture pluraliste, délinéarisée, qui correspond au caractère oblique de son plaidoyer pour la sincérité de l'autre.". (shrink)

Many people who believe that abortion may often be justified by appeal to the pregnant woman’s interests also believe that a woman’s infliction of significant but nonlethal injury on her fetus can seldom be justified by appeal to her interests. Yet the second of these beliefs can seem to cast doubt on the first. For the view that the infliction of prenatal injury is seriously morally objectionable may seem to presuppose a view about the status of the fetus that challenges (...) the permissibility of abortion. The fear of being interpreted as implicitly endorsing such a view has thus led some defenders of abortion to be reluctant for tactical reasons to condemn the infliction of prenatal injury. In this they are encouraged by those who exploit the issue of prenatal injury in their campaign against abortion. When, for example, the House and Senate in 2004 passed legislation recognizing two victims of an assault against a pregnant woman, many viewed this as a tactic in a larger strategy to restrict access to abortion. This tactic is potentially effective. For people may find it compelling to infer that, if injuring a fetus is seriously objectionable, abortion must be even more objectionable, since killing is normally more seriously objectionable than merely injuring. (shrink)

Smith argues that, unlike other forms of evidence, naked statistical evidence fails to satisfy normic support. This is his solution to the puzzles of statistical evidence in legal proof. This paper focuses on Smith’s claim that DNA evidence in cold-hit cases does not satisfy normic support. I argue that if this claim is correct, virtually no other form of evidence used at trial can satisfy normic support. This is troublesome. I discuss a few ways in which Smith can respond.

Christopher Cowie argues that moral error theory is uniquely placed to avoid embracing any of the troubling and counter-intuitive horns of moral paradoxes. Contra Cowie, I argue that moral non-cognitivists can also avoid embracing any such troubling and counter-intuitive horns. Rather than supporting moral error theory, I argue that moral paradoxes more precisely support moral nihilism—a first-order view that is consistent with moral error theory and with moral non-cognitivism. Moreover, I argue that reconstructing the argument from moral (...) class='Hi'>paradoxes as an argument for moral nihilism enhances its philosophical significance in two ways. First, the argument from moral paradoxes is the first unified argument in support of moral nihilism. Second, given that the logical space of moral nihilism is greater than the logical space of moral error theory, the threat that the argument from moral paradoxes poses to moral philosophy is more serious than Cowie acknowledges. (shrink)

Parties are back, and many are cheering. Party polarization has voters seeing stark differences between Democrats and Republicans and demonstrating more ideological constraint than previous generations. But these signs of a more “responsible” electorate are an illusion, because the public is no more knowledgeable than ever about the type of “information” it needs if it is to exercise effective control over the public‐policy outcomes it cares the most about. Indeed, polarization has produced a political environment where both voters and policy (...) makers may be less likely to learn about the potential consequences of their governing choices. The result is that holding elected politicians to account for policies treated as divisive ends in themselves has become easier—but that holding them accountable for policies intended as means to the achievement of consensual ends has become harder. (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)

There have been recent arguments against the idea that substructural solutions are uniform. The claim is that even if the substructuralist solves the common semantic paradoxes uniformly by targeting Cut or Contraction, with additional machinery, we can construct higher-level paradoxes (e.g., a higher-level Liar, a higher-level Curry, and a meta-validity Curry). These higher-level paradoxes do not use metainferential Cut or Contraction, but rather, higher-level Cuts and higher-level Contractions. These kinds of paradoxes suggest that targeting Cut or (...) Contraction is not enough for solving semantic paradoxes; the substructuralist must target Cut of every level or Contraction of every level to solve the paradoxes. Hence, the substructuralists do not provide as uniform of a solution as they hoped they did. In response, we argue that the substructuralists need not admit these additional machineries. In fact, they are redundant in light of the validity predicate (i.e., there is no gain in terms of expressive power). The validity predicate is powerful enough to creep these paradoxes in the object level. The substructuralist does not need to ascend to metainferences to construct higher-level paradoxes. Moreover, there is a reading available to the substructuralist such that all the higher-level structural rules would collapse to instances of the object-level structural rules (e.g., meta \(_n\) Cut and meta \(_n\) Contraction would become instances of Cut and Contraction). We then address Barrio et al.’s worry that the validity predicate has its shortcomings; the substructuralist cannot internalize some of its metarules. We claim that the validity of metarules can be internalized without the need to strengthen the validity predicate. However, a problem raised by Barrio et al. is still present—the problem of internalizing unwanted instances of Cut in Cut-free approaches. We argue that this internalization problem is not unique to the validity predicate; the same problem is present with other problematic predicates, such as the truth predicate and the provability predicate. (shrink)

In contemporary literary culture there is a widespread belief that ironies and paradoxes are closely akin. This is due to the importance that is given to the use of language in contemporary estimations of literature. Ironies and paradoxes seem to embody the sorts of a linguistic rebellion, innovation, deviation, and play, that have throughout this century become the dominant criteria of literary value. The association of irony with paradox, and of both with literature, is often ascribed to the (...) New Criticism, and more specifically to Cleanth Brooks. Brooks, however, used the two terms in a manner that was unconventional, even eccentric, and that differed significantly from their use in figurative theory. I therefore examine irony and paradox as verbal figures, noting their characteristic features and criteria, and, in particular, how they differ from one another. I argue that irony and paradox — as understood by Brooks — have important affinities with irony and paradox as figures, but that they must be regarded as quite distinct, both in figurative theory and in Brooks’ extended sense. (shrink)

Both sustainability and identity are said to be paradoxical issues in organizations. In this study we look at the paradoxes of corporate sustainability at the individual level by studying the identity work of those managers who hold sustainability-dedicated roles in organizations. Analysing 26 interviews with sustainability managers, we identify three main tensions affecting their identity construction process: the business versus values oriented, the organizational insider versus outsider and the short-term versus long-term focused identity work tensions. When dealing with these (...) tensions, some interviewees express a paradoxical perspective in attempting to accept and maintain the two poles of each of them simultaneously. It emerges in particular that metaphorical reasoning can be used by sustainability managers in varied ways to cope with the tensions of identity work. We read these findings in light of the existing literature on the relation between paradoxes and identity work, highlighting and discussing their implications for both research and practice. (shrink)

It has been argued that the existence of faster than light particles in the context of special relativity would imply the possibility to influence the past, and that this would lead to paradox. In this paper I argue that such conclusions cannot safely be drawn without consideration of the equations of motion of such particles. I show that such equations must be non-local, that they can be deterministic, and that they can avoid the suggested paradoxes. I also discuss conservation (...) of energymomentum, and how instantaneous action at a distance can avoid similar paradoxes. *I am most grateful for helpful comments made by John Earman, and especially John Norton, who is responsible for anything that makes sense in this paper. I am also grateful for the reception of a Mellon postdoctoral fellowship, which supported me whilst doing the research for this paper. (shrink)

My paper focuses on the theme of visibility by teasing out some paradoxes of invisibility. In the ordinary social world, what is said to be invisible is generally what is here, right before our eyes, but to which we pay no attention. Care is invisible because it goes on without us seeing it. By suddenly making visible what is ordinarily invisible, the COVID pandemic has been a strange pedagogical moment, making visible the people who take care of “us”, and (...) revealing our entire society’s ignorance of what allows it to live—whether in the context of everyday life or in the urgency of the risk of death. The grammar of care has thus imposed itself on everyone, because care is never so visible as in those situations where a form of life is shaken. Care work has been revealed as invisible work that keeps everyone going. “Invisible” does not refer to a difficulty in perceiving but rather a refusal to see. A refusal to see something that is not hidden, but which we do not see precisely because it is right before our eyes. Invisibility is thus denial, in both the social and the theoretical realms, especially when care work is envisioned in the terms of the further invisibilization of care work when it is done for the benefit of women as in the “care drain” from poor to rich countries. The asymmetry in the relations between North and South is part of the invisibility of what sustains societies. The invisible chains of care reveal the extent to which the question of service is the fundamental question of social invisibility. (shrink)

It is “the received wisdom” that any intuitively natural and consistent resolution of a class of semantic paradoxes immediately leads to other paradoxes just as bad as the first. This is often called the “revenge problem”. Some proponents of the received wisdom draw the conclusion that there is no hope of any natural treatment that puts all the paradoxes to rest: we must either live with the existence of paradoxes that we are unable to treat, or (...) adopt artificial and ad hoc means to avoid them. Others (“dialetheists”) argue that we can put the paradoxes to rest, but only by licensing the acceptance of some contradictions (presumably in a paraconsistent logic that prevents the contradictions from spreading everywhere). (shrink)

Of course, as scholars have long known, this example has serious limitations. For one thing, a substantial form, as the scholastics understood it, is much more dynamic than a mere shape. For example, the substantial form of an oak tree somehow explains how and why an oak tree can do everything that it does. So the substantial form of an oak tree could not be something as simple or crude as its shape. Nevertheless, the example of the bronze statue does (...) have the virtue of illustrating one of the chief advantages of hylomorphism as a philosophy of the human person. Although we can talk about the bronze and the shape of the statue, respectively, it still seems correct to say that the statue is exactly one thing, not two things. Likewise, although we can talk about the matter and the form of a human being, the hylomorphist insists that a human being is exactly one thing, not two things accidentally conjoined. (shrink)

This paper deals with the simple paradoxes of validity and with the possibility of solving them in terms of Bradwardinian-Buridanian semantics. The paradoxes of validity as conceived here are cases of semantic pathology, which result due to the use of terms signifying the validity of inference. Semantic paradoxes are a semantico-epistemological phenomenon which is a symptom of the need to revise several apparently acceptable semantic assumptions. The analysis of possible solutions to the paradoxes focuses on Bradwardinian-Buridanian (...) semantics and as a result on the closed, token-based semantic theories that assume the existence of an implicit meaning of propositions. The key theses, as far as the solution to the paradoxes is concerned, are the principle of truth-implication which claims that every proposition expresses or implies its own truth and the closure principle which claims that every proposition asserts or expresses everything that follows from it logically. The present paper advances on recent research in claiming that (with certain reservations) the application of these principles can effectively solve inconsistency-paradoxes but not indeterminacy-paradoxes of validity. (shrink)

The starting point of Joseph Margolis' last philosophical effort is represented by the problem of the human "gap" in animal continuity: "There appear to be no comparable variants of animal evolution [...] effected by anything like the culturally enabled creation". While we share with other animals more or less refined forms of societal life, acquiring a natural language remains a distinctively human character: although it is grounded in the completely natural favourable changes in the human vocal apparatus and brain, the (...) merely causal emergence of language in humans reacts back into human primates by transforming them into persons or selves. The artifactuality of persons appears to be at the same time a natural and emergent phenomenon, constituting the other side of the process of language acquisition both by early hominids and by human infants. In this perspective the largely informal, mongrel and approximate functionality of ordinary language is interpreted as a good tool for the cultural animal to cope with the world, while the collective dimension of human forms of life appears as the shared context of external and internal constitution of the human selves. (shrink)