Benardete paradoxes involve infinite collections of Grim Reapers, assassins, demons, deafening peals, or even sentences. These paradoxes have recently been used in arguments for finitist metaphysical theses such as temporal finitism, causal finitism, and discrete views of time. Here we develop a new finite Benardete-like paradox. We then use this paradox to defend a companions in guilt argument that challenges recent applications of patchwork principles on behalf of the aforementioned finitist arguments. Finally, we develop another problem for those (...) applications by examining the notion of exact duplication. (shrink)

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.

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)

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)

"Imaginative cases, or what might be called puzzles, paradoxes, and other thought experiments, play a central role in epistemology. A significant component of understanding epistemological debates and theories is appreciating various cases and what they are thought to show. This volume collects 50 of the most important puzzles, paradoxes, and thought experiments in contemporary epistemology and describes their significance. The volume gives each case a memorable name, describes the details of the case, explains the issue to which the (...) case is relevant, briefly overviews the key responses to the case that have been put forward, and provides a list of suggested readings on the topic. Each entry is accessible, succinct, and self-contained. Epistemology: 50 Puzzles, Paradoxes, and Thought Experiments is a fantastic teaching tool as well as a handy resource for anyone interested in epistemological issues. Key Features: Though concise overall, offers broad coverage of the key areas of epistemology. Describes each imaginative case directly and in a memorable way, making the cases accessible and easy to remember. Provides a list of Suggested Readings for each case, divided into General Overviews, Seminal Presentations, and Other Important Discussions"--. (shrink)

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

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

We identify a class of paradoxes that is neither set-theoretical nor semantical, but that seems to depend on intensionality. In particular, these paradoxes arise out of plausible properties of propositional attitudes and their objects. We try to explain why logicians have neglected these paradoxes, and to show that, like the Russell Paradox and the direct discourse Liar Paradox, these intensional paradoxes are recalcitrant and challenge logical analysis. Indeed, when we take these paradoxes seriously, we may (...) need to rethink the commonly accepted methods for dealing with the logical paradoxes. (shrink)

According to the revision theory of truth, the paradoxical sentences have certain revision periods in their valuations with respect to the stages of revision sequences. We find that the revision periods play a key role in characterizing the degrees of paradoxicality for Boolean paradoxes. We prove that a Boolean paradox is paradoxical in a digraph, iff this digraph contains a closed walk whose height is not any revision period of this paradox. And for any finitely many numbers greater than (...) 1, if any of them is not divisible by any other, we can construct a Boolean paradox whose primary revision periods are just these numbers. Consequently, the degrees of Boolean paradoxes form an unbounded dense lattice. The area of Boolean paradoxes is proved to be rich in mathematical structures and properties. (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)

This chapter contains sections titled: Sorites paradoxes threaten identity across possible worlds, as Roderick Chisholm pointed out some time ago. This chapter develops one such paradox, arguing that it formally resembles the problems of personal identity, and can be resolved by means a modal paradox, which is discussed in the first section. Lest it be thought that the paradox depends on the special nature of possibility, similar paradoxes are sketched for identity over time in the second section. The (...) section underlines the point of a uniform approach by sketching temporal analogues of modal paradoxes about artifact identity. Both modal and temporal versions involve the identity of artifacts. Treatments of closely related problems by Graeme Forbes and Nathan Salmon do not generalize in the same way. The concern of this chapter is to see how much of the original conception can be saved; maximal M‐relations provide the appropriate technique. (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.

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.

Aharon Aviram; The Paradoxes of Education for Democracy, or the Tragic Dilemmas of the Modern Liberal Educator, Journal of Philosophy of Education, Volume 20, I.

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.

In lieu of an abstract, here is a brief excerpt of the content:Reflections on InsightDilemmas, Paradoxes, and PuzzlesMarga Reimer (bio)Keywordsinsight, psychosis, treatment adherence, medical model, autonomy, open placebos, rationalityThe Practitioner's DilemmaThe psychiatrist aware of the potential intractability of what Jennifer Radden calls "insightlessness," faces a dilemma. Should she encourage her patient to embrace a medical model of his "troubles," a model whose adoption is likely to motivate treatment adherence? She might then be trying to do the impossible; she might (...) also alienate her patient in the process. Should she instead encourage her insightless patient to embrace his own non-medical model, according to which treatment adherence makes no medical sense whatsoever? She might then see herself as encouraging a kind of uninformed consent: Her insightless patient might be taking powerful, potentially harmful, medication for reasons (such as sound sleep and "peace of mind") that would never medically justify adherence.In my original paper, I suggested that the way out of this dilemma might be to embrace the latter option, while characterizing the very real (and medically based) benefits of treatment adherence in non-medical terms. I now realize that my proposed resolution reflects an oversimplified understanding of what might be called the "practitioner's dilemma." As Michaela Amering (2010) makes clear, the situation for those with mental illness is improving dramatically. With "recovery orientation" as the "guiding principle of mental health policy," the emphasis is on "health promotion, individual strengths, and resilience." The question becomes: Can the practitioner encourage her insightless patient to partake in this "recovery" movement if she does not simultaneously encourage him to embrace a medicalized understanding of his "troubles"?Not obviously. For although a "recovery" model might eschew notions like illness1 and disease, pathology and dysfunction, and even schizophrenia, it will inevitably involve some medical notions. The patient who partakes in the "recovery movement" described by Amering, would seem to have no choice but to accept a model that is essentially medical. Consider the language used by Amering in characterizing that movement. She talks of mental health problems, therapeutic relations, patient self-determination, diagnosis and, of course, recovery. The concepts underlying such language are intrinsic to the patient-oriented movement Amering describes. The question becomes:How can the insightless patient rationally partake in such a movement without embracing some version of the medical model of mental illness? [End Page 85]This question suggests the importance of promoting some kind of insight, even if not insight "into psychosis." At the close of these comments, I consider briefly what such "revisionary" insight might involve.Paradoxes of Conditional and Relinquished AutonomyAutonomy among patients with psychosis presupposes the sort of clear-headedness that arguably comes only with treatment adherence. This may provide some justification for the "coercive treatments" that Anthony (2006) finds so offensive. For patients with psychosis, genuine autonomy is conditional, requiring some degree of insight: Recognition that their "troubles" are at least amenable to medical treatment. Once the patient recognizes this, he can choose freely to decline such treatment (regardless of whether that choice is ultimately respected). Call this the "paradox of conditional autonomy." The conditional nature of autonomy is a familiar point in philosophical discussions regarding free will. There is no genuine freedom without the sort of knowledge required for informed choices. What distinguishes the patient with psychosis from persons more generally is that his autonomy is further conditioned: The knowledge required for autonomous decision making arguably requires some degree of treatment adherence.However, the mentally ill patient has the right, as do all patients, to relinquish autonomy. He may opt for deference to, and dependency on, the relevant experts: Mental health care professionals (Campbell 1994). We are led once again to paradox. To respect the patient's autonomy, the mental health care professional must respect his right to forego autonomy in favor of deference and dependency. This paradoxical situation, involving a kind of deferred autonomy, is not unique to psychiatry but applies to medicine across the board. Indeed, it applies to the human service industry more generally where, as McGorry (1992) suggests, there is an implicit assumption that the service user is to defer to the expertise of the service provider.This assumption is rightly challenged. Suppose Justin and... (shrink)

The purpose of this paper is to resolve two paradoxes, which occur in quantum theory, by using the discussion of the theory of measurement presented in two earlier papers by the author [3], [4], [5]. The two paradoxes discussed will be the Schrödinger cat paradox and the Einstein, Podolski, Rosen paradox [2]. An introductory section will be included which summarizes the relevant results from the author's previous papers. Also a discussion will be made regarding the author's interpretation of (...) the density operator. (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)

Though we may be competent at using many technologies, most of what we think we know about technology in general is false. Our error stems from the everyday conception of things as separate from each other and from us. In reality technologies belong to an interconnected network the nodes of which cannot exist independently qua technologies. What is more we tend to see technologies as quasi-natural objects, but they are just as much social as natural, just as much determined by (...) the meanings we give them as by the causal laws that rule over their powers. The errors of common sense have political consequences in domains such as, development, medicine and environmental policy. In this paper I summarize many of the conclusions philosophy of technology has reached reflecting on the reality of our technological world. These conclusions appear as paradoxes judged from our everyday perspective.This paper presents a philosophy of technology. It draws on what we have learnt in the last 30 years as we abandoned old Heideggerian and positivist notions and faced the real world of technology. It turns out that most of our common sense ideas about technology are wrong. This is why I have put my ten propositions in the form of paradoxes, although I use the word loosely here to refer to the counter-intuitive nature of much of what we know about technology. (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)

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)

Ryan Wasserman explores a range of fascinating puzzles raised by the possibility of time travel, with entertaining examples from physics, science fiction, and popular culture, and he draws out their implications for our understanding of time, tense, freedom, fatalism, causation, counterfactuals, laws of nature, persistence, change, and mereology.

In recent years, substructural approaches to paradoxes have become quite popular. But whatever restrictions on structural rules we may want to enforce, it is highly desirable that such restrictions be accompanied by independent philosophical motivation, not directly related to paradoxes. Indeed, while these recent developments have shed new light on a number of issues pertaining to paradoxes, it seems that we now have even more open questions than before, in particular two very pressing ones: what (independent) motivations (...) do we have (if any) for restrictions on structural rules, and what to make of the plurality of new logics emerging from these restrictions, i.e. how to ‘choose’ among the different options. In this paper, we address these two questions from the perspective of a dialogical conception of logic that we've been advocating in recent years. We will argue that dialogical interpretations of structural rules, that is, as rules determining specific properties of the dialogues in question, provide a conveniently neutral framework to adjudicate between the different substructural proposals that have been made in the literature on paradoxes. (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)

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)

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)

Paradoxes of Freedom is a study of the philosophical and historical concept of liberty. Centring his argument upon the Romantic exaltation of freedom, Thomas McFarland identifies freedom as one of the three chief transcendences, along with love and religion, by which humanity orientates itself. McFarland indicates, by an examination ranging from Shakespeare and Luther to the writings of Nietzsche and Wagner, both the reasons for the supreme valuation of freedom and the nature of the hindrances, in theory and fact, (...) that enmesh the actual realization of freedom. (shrink)

Tachyon paradoxes, including causality paradoxes, have persisted within tachyon theories and left little hope for the existence of observable tachyons. This paper presents a way to solve the causality paradoxes, along with two other paradoxes, by the introduction of an absolute frame of reference in which a tachyon effect may never precede its cause. Relativity for ordinary matter is unaffected by this, even if the tachyons couple to ordinary particles. Violations of the principle of relativity due (...) to the absolute frame would appear only in the case of free tachyons. (shrink)