This short article pairs the realms of “Mathematics”, “Philosophy”, and “Poetry”, presenting some corners of intersection of this type of scientocreativity. Poetry have long been following mathematical patterns expressed by stern formal restrictions, as the strong metrical structure of ancient Greek heroic epic, or the consistent meter with standardized rhyme scheme and a “volta” of Italian sonnets. Poetry was always connected to Philosophy, and further on, notable mathematicians, like the inventor of quaternions, William Rowan Hamilton, or Ion Barbu, the creator (...) of the Barbilian spaces, have written appreciated poems. We will focus here on an avant-garde movement in literature, art, philosophy, and science, called Paradoxism, founded in Romania in 1980 by a mathematician, philosopher and poet, and on the laboured writing exercises of the Oulipo group, founded in Paris in 1960 by mathematicians and poets, both of them still in act. (shrink)

The knower paradox states that the statement ‘We know that this statement is false’ leads to inconsistency. This article presents a fresh look at this paradox and some well-known solutions from the literature. Paul Égré discusses three possible solutions that modal provability logic provides for the paradox by surveying and comparing three different provability interpretations of modality, originally described by Skyrms, Anderson, and Solovay. In this article, some background is explained to clarify Égré’s solutions, all three (...) of which hinge on intricacies of provability logic and its arithmetical interpretations. To check whether Égré’s solutions are satisfactory, we use the criteria for solutions to paradoxes defined by Susan Haack and we propose some refinements of them. This article aims to describe to what extent the knower paradox can be solved using provability logic and to what extent the solutions proposed in the literature satisfy Haack’s criteria. Finally, the article offers some reflections on the relation between knowledge, proof, and provability, as inspired by the knower paradox and its solutions. (shrink)

A lot has been written on solutions to the semantic paradoxes, but very little on the topic of general theories of paradoxicality. The reason for this, we believe, is that it is not easy to disentangle a solution to the paradoxes from a specific conception of what those paradoxes consist in. This paper goes some way towards remedying this situation. We first address the question of what one should expect from an account of paradoxicality. We then present one conception of (...) paradoxicality that has been offered in the literature: the fixed-point conception. According to this conception, a statement is paradoxical if it cannot obtain a classical truth-value at any fixed-point model. In order to assess this proposal rigorously we provide a non-metalinguistic characterization of paradoxicality and we evaluate whether the resulting account satisfies a number of reasonable desiderata. (shrink)

Lewis Carroll, both logician and writer, suggested a logical paradox containing furthermore two connotations (connotations or metaphors are inherent in literature rather than in mathematics or logics). The paradox itself refers to implication demonstrating that an intermediate implication can be always inserted in an implication therefore postponing its ultimate conclusion for the next step and those insertions can be iteratively and indefinitely added ad lib, as if ad infinitum. Both connotations clear up links due to the shared (...) formal structure with other well-known mathematical observations: (1) the paradox of Achilles and the Turtle; (2) the transitivity of the relation of equality. Analogically to (1), one can juxtapose the paradox of the Liar (for Lewis Carroll’s paradox) and that of the arrow (for “Achilles and the Turtle”), i.e. a logical paradox, on the one hand, and an aporia of motion, on the other hand, suggesting a shared formal structure of both, which can be called “ontological”, on which basis “motion” studied by physics and “conclusion” studied by logic can be unified being able to bridge logic and physics philosophically in a Hegelian manner: even more, the bridge can be continued to mathematics in virtue of (2), which forces the equality (for its property of transitivity) of any two quantities to be postponed analogically ad lib and ad infinitum. The paper shows that Hilbert arithmetic underlies naturally Lewis Carroll’s paradox admitting at least three interpretations linked to each other by it: mathematical, physical and logical. Thus, it can be considered as both generalization and solution of his paradox therefore naturally unifying the completeness of quantum mechanics (i.e. the absence of hidden variables) and eventual completeness of mathematics as the same and isomorphic to the completeness of propositional logic in relation to set theory as a first-order logic (in the sense of Gödel (1930)’s completeness theorems). (shrink)

Chinese Chan or Zen Buddhism is renowned for its improvisational, atypical, and perplexing use of words. In particular, the tradition’s encounter dialogues, which took place between Chan masters and their interlocutors, abound in puzzling, astonishing, and paradoxical ways of speaking. In this chapter, we are concerned with Chan’s use of paradoxical language. In philosophical parlance, a linguistic paradox comprises the confluence of opposite or incongruent concepts in a way that runs counter to our common sense and ordinary rational thinking. (...) One naturally wonders about Chan masters’ rationales for their use of paradox. There are also concerns about whether the use violates the logical principle of noncontradiction to the effect that nothing can be both P and not-P all over in the same way at the same time. Chan became a viable Chinese Buddhist tradition during the Tang dynasty (618−907) and continued to develop for several centuries. The tradition had produced a huge literature; consequently, our investigation of its use of paradox cannot but be limited and selective. In the second section, I first sketch key ideas of Chan that are pertinent to our investigation and then examine the use of paradox in the sermons associated with certain Tang masters of the southern Chan. In the third section, I analyze the presence of paradoxical language in post-Tang encounter dialogues. The fourth section concludes. (shrink)

If feeling a genuine emotion requires believing that its object actually exists, and if this is a belief we are unlikely to have about fictional entities, then how could we feel genuine emotions towards these entities? This question lies at the core of the paradox of fiction. Since its original formulation, this paradox has generated a substantial literature. Until recently, the dominant strategy had consisted in trying to solve it. Yet, it is more and more frequent for (...) scholars to try to dismiss it using data and theories coming from psychology. In opposition to this trend, the present paper argues that the paradox of fiction cannot be dissolved in the ways recommended by the recent literature. We start by showing how contemporary attempts at dissolving the paradox assume that it emerges from theoretical commitments regarding the nature of emotions. Next, we argue that the paradox of fiction rather emerges from everyday observations, the validity of which is independent from any such commitment. This is why we then go on to claim that a mere appeal to psychology in order to discredit these theoretical commitments cannot dissolve the paradox. We bring our discussion to a close on a more positive note, by exploring how the paradox could in fact be solved by an adequate theory of the emotions. (shrink)

Despite having been solved numerous times, the surprise quiz paradox persists in the intellectual imagination as a riddle. This dialogue aims to dispel the fallacies of the paradox in an intuitive way through the causal format of a dialogue. Along the way, two contributions are made to the literature. Even if the student knew there would be a quiz at the end of a quizless Thursday, the fact that the quiz will be a surprise Friday would provide (...) a Gettier-style defeater for his supposed knowledge that he will have a quiz Friday. In addition, pace Sorensen (1988), the dialogue explains why the temporal retention of knowledge is essential to the puzzle and not a mere accident. (shrink)

In the emerging literature on judgment aggregation over logically connected proposi- tions, expert rights or liberal rights have not been investigated yet. A group making collective judgments may assign individual members or subgroups with expert know- ledge on, or particularly affected by, certain propositions the right to determine the collective judgment on those propositions. We identify a problem that generalizes Sen's 'liberal paradox'. Under plausible conditions, the assignment of rights to two or more individuals or subgroups is inconsistent (...) with the unanimity principle, whereby unanimously accepted propositions are collectively accepted. The inconsistency can be avoided if individual judgments or rights satisfy special conditions. (shrink)

In this paper I consider two paradoxes that arise in connection with the concept of demonstrability, or absolute provability. I assume—for the sake of the argument—that there is an intuitive notion of demonstrability, which should not be conflated with the concept of formal deducibility in a (formal) system or the relativized concept of provability from certain axioms. Demonstrability is an epistemic concept: the rough idea is that a sentence is demonstrable if it is provable from knowable basic (“self-evident”) premises by (...) means of simple logical steps. A statement that is demonstrable is also knowable and a statement that is actually demonstrated is known to be true. By casting doubt upon apparently central principles governing the concept of demonstrability, the paradoxes of demonstrability presented here tend to undermine the concept itself—or at least our understanding of it. As long as we cannot find a diagnosis and a cure for the paradoxes, it seems that the coherence of the concepts of demonstrability and demonstrable knowledge are put in question. There are of course ways of putting the paradoxes in quarantine, for example by imposing a hierarchy of languages a` la Tarski, or a ramified hierarchy of propositions and propositional functions a` la Russell. These measures, however, helpful as they may be in avoiding contradictions, do not seem to solve the underlying conceptual problems. Although structurally similar to the semantic paradoxes, the paradoxes discussed in this paper involve epistemic notions: “demonstrability”, “knowability”, “knowledge”... These notions are “factive” (e.g., if A is demonstrable, then A is true), but similar paradoxes arise in connection with “nonfactive” notions like “believes”, “says”, “asserts”.3 There is no consensus in the literature concerning the analysis of the notions involved—often referred to as “propositional attitudes”—or concerning the treatment of the paradoxes they give rise to. (shrink)

Although Fuzzy logic and Fuzzy Mathematics is a widespread subject and there is a vast literature about it, yet the use of Fuzzy issues like Fuzzy sets and Fuzzy numbers was relatively rare in time concept. This could be seen in the Fuzzy time series. In addition, some attempts are done in fuzzing Turing Machines but seemingly there is no need to fuzzy time. Throughout this article, we try to change this picture and show why it is helpful to (...) consider the instants of time as Fuzzy numbers. In physics, though there are revolutionary ideas on the time concept like B theories in contrast to A theory also about central concepts like space, momentum… it is a long time that these concepts are changed, but time is considered classically in all well-known and established physics theories. Seemingly, we stick to the classical time concept in all fields of science and we have a vast inertia to change it. Our goal in this article is to provide some bases why it is rational and reasonable to change and modify this picture. Here, the central point is the modified version of “Unexpected Hanging” paradox as it is described in "Is classical Mathematics appropriate for theory of Computation".This modified version leads us to a contradiction and based on that it is presented there why some problems in Theory of Computation are not solved yet. To resolve the difficulties arising there, we have two choices. Either “choosing” a new type of Logic like “Para-consistent Logic” to tolerate contradiction or changing and improving the time concept and consequently to modify the “Turing Computational Model”. Throughout this paper, we select the second way for benefiting from saving some aspects of Classical Logic. In chapter 2, by applying quantum Mechanics and Schrodinger equation we compute the associated fuzzy number to time. These, provides a new interpretation of Quantum Mechanics.More exactly what we see here is "Particle-Fuzzy time" interpretation of quantum Mechanics, in contrast to some other interpretations of Quantum Mechanics like " Wave-Particle" interpretation. At the end, we propound a question about the possible solution of a paradox in Physics, the contradiction between General Relativity and Quantum Mechanics. (shrink)

The Gamer’s Dilemma refers to the philosophical challenge of justifying the intuitive difference people seem to see between the moral permissibility of enacting virtual murder and the moral impermissibility of enacting virtual child molestation in video games (Luck Ethics and Information Technology, 1:31, 2009). Recently, Luck in Philosophia, 50:1287–1308, 2022 has argued that the Gamer’s Dilemma is actually an instance of a more general “paradox”, which he calls the “paradox of treating wrongdoing lightly”, and he proposes a graveness (...) resolution to this paradox. In response, we argue for four key claims. First, we accept Luck’s expansion of the Gamer’s Dilemma to be applicable to a wider set of media, but give a novel recasting of this in terms of the Paradox of Fictionally Going Too Far. Second, we develop a novel criticism of Luck in Philosophia, 50:1287–1308, 2022 graveness resolution to this broader paradox. Third, we argue that the Paradox of Fictionally Going Too Far helps to expose an implicit moralism in the Gamer’s Dilemma literature when compared to relevant nearby literatures about other forms of media. Fourth, we consider a range of non-moral, cultural and media conventions that plausibly help to dissolve the intuitive moral gap between non-sexual and sexual violence that is central to this paradox. (shrink)

In this article, we develop a concept of stakeholder dialogue in responsible innovation (RI) processes. The problem with most concepts of communication is that they rely on ideals of openness, alignment and harmony, even while these ideals are rarely realized in practice. Based on the work of Burke, Habermas, Deetz and Levinas, we develop a concept of stakeholder dialogue that is able to deal with fundamentally different interests and value frames of actors involved in RI processes. We distinguish four main (...) characteristics of stakeholder dialogue. Dialogical responsiveness (1) enhances self-criticism, (2) is characterized by the constitution and the destruction of the self or identity of the actors involved, (3) consists only in the actual enactment of the dialogue and (4) is primarily responsive to the grand challenges of our time. Based on our findings, we provide a novel conceptualization of the central notion of responsiveness in the RI literature. (shrink)

Since it was presented in 1963, Chisholm’s paradox has attracted constant attention in the deontic logic literature, but without the emergence of any definitive solution. We claim this is due to its having no single solution. The paradox actually presents many challenges to the formalization of deontic statements, including (1) context sensitivity of unconditional oughts, (2) formalizing conditional oughts, and (3) distinguishing generic from nongeneric oughts. Using the practical interpretation of ‘ought’ as a guideline, we propose a (...) linguistically motivated logical solution to each of these problems, and explain the relation of the solution to the problem of contrary-to-duty obligations. (shrink)

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

Illusionism is the view that conscious experience is some sort of introspective illusion. According to illusionism, there is no conscious experience, but it merely seems like there is conscious experience. This would suggest that much phenomenological enquiry, including work on phenomenological psychopathology, rests on a mistake. Some philosophers have argued that illusionism is obviously false, because seeming is itself an experiential state, and so necessarily presupposes the reality of conscious experience. In response, the illusionist could suggest that the relevant sort (...) of seeming here is not an experiential state, but is a cognitive state, such as a judgement or a belief, which is fully amenable to a physical or functionalist analysis. Herein, I argue that this response is unsuccessful and fails to undermine the reality of conscious experience. Nonetheless, the response does raise the problem of how a judgement or belief about the character of a conscious experience, even if it is true, can be justified if the conscious experience has no causal role in the formation of the judgement or belief. This is not a new problem, but is a reiteration of an old problem that is known in the philosophy of mind literature as the paradox of phenomenal judgement. I consider how the paradox of phenomenal judgement can be resolved and how the judgement or belief about conscious experience can be justified with appeal to the notion of acquaintance. (shrink)

Phenomenal conservatives claim that seemings are sui generis mental states and can thus provide foundational non-doxastic justification for beliefs. Many of their critics deny this, claiming, instead, that seemings can be reductively analyzed in terms of other mental states—either beliefs, inclinations to believe, or beliefs about one’s evidence—that cannot provide foundational non-doxastic justification. In this paper, I argue that no tenable semantic reduction of ‘seems’ can be formulated in terms of the three reductive analyses that have been proposed by critics (...) of phenomenal conservatism. This is because Moore-paradoxical statements are generated when each of the reductive analyses is substituted for ‘seems’ in statements like ‘The stick is straight, but it does not seem to me that it’s straight.’ Since the latter statement is not Moore-paradoxical, the three proposed reductive analyses of ‘seems’ are unsuccessful. Absent a successful semantic reduction, however, there is no good reason to think a successful metaphysical reduction of seemings is forthcoming. Thus, there is an additional reason, unnoticed in the existing literature, to think that seemings are sui generis mental states. (shrink)

There has been much discussion on the two-envelope paradox. Clark and Shackel (2000) have proposed a solution to the paradox, which has been refuted by Meacham and Weisberg (2003). Surprisingly, however, the literature still contains no axiomatic justification for the claim that one should be indifferent between the two envelopes before opening one of them. According to Meacham and Weisberg, "decision theory does not rank swapping against sticking [before opening any envelope]" (p. 686). To fill this gap (...) in the literature, we present a simple axiomatic justification for indifference, avoiding any expectation reasoning, which is often considered problematic in infinite cases. Although the two-envelope paradox assumes an expectation-maximizing agent, we show that analogous paradoxes arise for agents using different decision principles such as maximin and maximax, and that our justification for indifference before opening applies here too. (shrink)

The paradox of persisting opposition raises a puzzle for normative accounts of democratic legitimacy. It involves an outvoted democrat who opposes a given policy while supporting it. The article makes a threefold contribution to the existing literature. First, it considers pure proceduralist and pure instrumentalist alternatives to solve the paradox and finds them wanting — on normative, conceptual, and empirical grounds. Second, it presents a solution based on a two-level distinction between substantive and procedural legitimacy that shows (...) that citizens are consistent in endorsing the upshot of democratic procedures while opposing it. Third, it unpacks three reasons to non-instrumentally endorse such procedures — namely, the presence of reasonable disagreement, non-paternalism, and the right to democratically do wrong. In so doing, the article shows that those accounts of democratic legitimacy that rely on reasonable disagreement as a necessary condition for democratic procedures being called for are flawed, or at least incomplete, and offers a more complete alternative. (shrink)

In the present article, I attempt to relate Saul Kripke's “sceptical paradox” to some issues about the self; specifically, the relation between the self and its mental states and episodes. I start with a brief reconstruction of the paradox, and venture to argue that it relies crucially on a Cartesian model of the self: the sceptic regards the Wittgensteinian “infinite regress of interpretation” as the foundation of his challenge, and this is where he commits the crucial mistake. After (...) the diagnosis, I attempt to sketch my own model of the self and its mental states and episodes. This tentative picture binds meaning and the self together, stressing the subjective aspect of meaning without committing the same fallacy. The solution ventured here is relatively independent of the secondary literatures on the sceptical paradox of following rules, for it aims to provide a new angle to understand and meet the challenge presented by the sceptic. (shrink)

The nature and consequences of readers’ affective engagement with literature has, in recent years, captured the attention of experimental psychologists and philosophers alike. Psychological studies have focused principally on the causal mechanisms explaining our affective interactions with fictions, prescinding from questions concerning their rational justifiability. Transportation Theory, for instance, has sought to map out the mechanisms the reader tracks the narrative experientially, mirroring its descriptions through first-personal perceptual imaginings, affective and motor responses and even evaluative beliefs. Analytical philosophers, by (...) contrast, have largely focussed on the problems fiction poses for traditional theories of rationality (as in the ‘Paradox of Fiction), challenging fiction’s wider epistemic value. The result has been a theoretical impasse in which the power of fiction to affectively ‘transport’ a reader is at once often lauded (by psychologists) as a privileged route to interpersonal understanding, and condemned (by philosophers) as an abdication of the authority of reason. This chapter surveys some of the central claims on both sides, tracing the source of the debate to competing conceptions of rationality. (shrink)

Events between which we have no epistemic reason to discriminate have equal epistemic probabilities. Bertrand’s chord paradox, however, appears to show this to be false, and thereby poses a general threat to probabilities for continuum sized state spaces. Articulating the nature of such spaces involves some deep mathematics and that is perhaps why the recent literature on Bertrand’s Paradox has been almost entirely from mathematicians and physicists, who have often deployed elegant mathematics of considerable sophistication. At the (...) same time, the philosophy of probability has been left out. In particular, left out entirely are the philosophical ground of the principle of indifference, the nature of the principle itself, the stringent constraint this places on the mathematical representation of the principle needed for its application to continuum sized event spaces, and what these entail for rigour in developing the paradox itself. This book puts the philosophy and its entailments back in and in so doing casts a new light on the paradox, giving original analyses of the paradox, its possible solutions, the source of the paradox, the philosophical errors we make in attempting to solve it and what the paradox proves for the philosophy of probability. The book finishes with the author’s proposed solution—a solution in the spirit of Bertrand’s, indeed—in which an epistemic principle more general than the principle of indifference offers a principled restriction of the domain of the principle of indifference. (shrink)

A sorites argument is a symptom of the vagueness of the predicate with which it is constructed. A vague predicate admits of at least one dimension of variation (and typically more than one) in its intended range along which we are at a loss when to say the predicate ceases to apply, though we start out confident that it does. It is this feature of them that the sorites arguments exploit. Exactly how is part of the subject of this paper. (...) The majority of philosophers writing on vagueness take it to be a kind of semantic phenomenon. If we are right, they are correct in this assumption, which is surely the default position, but they have not so far provided a satisfactory account of the implications of this or a satisfactory diagnosis of the sorites arguments. Other philosophers have urged more exotic responses, which range from the view that the fault lies not in our language, but in the world, which they propose to be populated with vague objects which our semantics precisely reflects, to the view that the world and language are both perfectly in order, but that the fault lies with our knowledge of the properties of the words we use (epistemicism). In contrast to the exotica to which some philosophers have found themselves driven in an attempt to respond to the sorites puzzles, we undertake a defense of the commonsense view that vague terms are semantically vague. Our strategy is to take fresh look at the phenomenon of vagueness. Rather than attempting to adjudicate between different extant theories, we begin with certain pre-theoretic intuitions about vague terms, and a default position on classical logic. The aim is to see whether (i) a natural story can be told which will explain the vagueness phenomenon and the puzzling nature of soritical arguments, and, in the course of this, to see whether (ii) there arises any compelling pressure to give up the natural stance. We conclude that there is a simple and natural story to be told, and we tell it, and that there is no good reason to abandon our intuitively compelling starting point. The importance of the strategy lies in its dialectical structure. Not all positions on vagueness are on a par. Some are so incredible that even their defenders think of them as positions of last resort, positions to which we must be driven by the power of philosophical argument. We aim to show that there is no pressure to adopt these incredible positions, obviating the need to respond to them directly. If we are right, semantic vagueness is neither surprising, nor threatening. It provides no reason to suppose that the logic of natural languages is not classical or to give up any independently plausible principle of bivalence. Properly understood, it provides us with a satisfying diagnosis of the sorites argumentation. It would be rash to claim to have any completely novel view about a topic so well worked as vagueness. But we believe that the subject, though ancient, still retains its power to inform and challenge us. In particular, we will argue that taking seriously the central phenomenon of predicate vagueness—the “boundarylessness” of vague predicates—on the commonsense assumption that vagueness is semantic, leads ineluctably to the view that no sentences containing vague expressions (henceforth ‘vague sentences’) are truth-evaluable. This runs counter to much of the literature on vagueness, which commonly assumes that, though some applications of vague predicates to objects fail to be truth-evaluable, in clear positive and negative cases vague sentences are unproblematically true or false. It is clarity on this, and related points, that removes the puzzles associated with vagueness, and helps us to a satisfying diagnosis of why the sorites arguments both seem compelling and yet so obviously a bit of trickery. We give a proof that semantically vague predicates neither apply nor fail-to-apply to anything, and that consequently it is a mistake to diagnose sorites arguments, as is commonly done, by attempting to locate in them a false premise. Sorites arguments are not sound, but not unsound either. We offer an explanation of their appeal, and defend our position against a variety of worries that might arise about it. The plan of the paper is as follows. We first introduce an important distinction in terms of which we characterize what has gone wrong with vague predicates. We characterize what we believe to be our natural starting point in thinking about the phenomenon of vagueness, from which only a powerful argument should move us, and then trace out the consequences of accepting this starting point. We consider the charge that among the consequences of semantic vagueness are that we must give up classical logic and the principle of bivalence, which has figured prominently in arguments for epistemicism. We argue there are no such consequences of our view: neither the view that the logic of natural languages is classical, nor any plausible principle of bivalence, need be given up. Next, we offer a diagnosis of what has gone wrong in sorites arguments on the basis of our account. We then present an argument to show that our account must be accepted on pain of embracing (in one way or another) the epistemic view of “vagueness”, i.e., of denying that there are any semantically vague terms at all. Next, we discuss some worries that may arise about the intelligibility of our linguistic practices if our account is correct. We argue none of these worries should force us from our intuitive starting point. Finally, we cast a quick glance at other forms of semantic incompleteness. (shrink)

Although Fuzzy logic and Fuzzy Mathematics is a widespread subject and there is a vast literature about it, yet the use of Fuzzy issues like Fuzzy sets and Fuzzy numbers was relatively rare in time concept. This could be seen in the Fuzzy time series. In addition, some attempts are done in fuzzing Turing Machines but seemingly there is no need to fuzzy time. Throughout this article, we try to change this picture and show why it is helpful to (...) consider the instants of time as Fuzzy numbers. In physics, though there are revolutionary ideas on the time concept like B theories in contrast to A theory also about central concepts like space, momentum… it is a long time that these concepts are changed, but time is considered classically in all well-known and established physics theories. Seemingly, we stick to the classical time concept in all fields of science and we have a vast inertia to change it. Our goal in this article is to provide some bases why it is rational and reasonable to change and modify this picture. Here, the central point is the modified version of “Unexpected Hanging” paradox as it is described in "Is classical Mathematics appropriate for theory of Computation".This modified version leads us to a contradiction and based on that it is presented there why some problems in Theory of Computation are not solved yet. To resolve the difficulties arising there, we have two choices. Either “choosing” a new type of Logic like “Para-consistent Logic” to tolerate contradiction or changing and improving the time concept and consequently to modify the “Turing Computational Model”. Throughout this paper, we select the second way for benefiting from saving some aspects of Classical Logic. In chapter 2, by applying quantum Mechanics and Schrodinger equation we compute the associated fuzzy number to time. (shrink)

This thesis examines philosophical controversies surrounding the evaluation of medical treatments, with a focus on the evidential roles of randomised trials and mechanisms in Evidence-Based Medicine. Current 'best practice' usually involves excluding non-randomised trial evidence from systematic reviews in cases where randomised trials are available for inclusion in the reviews. The first paper challenges this practice and evaluates whether adding of evidence from non-randomised trials might improve the quality and precision of some systematic reviews. The second paper compares the alleged (...) methodological benefits of randomised trials over observational studies for investigating treatment benefits. It suggests that claims about the superiority of well-conducted randomised controlled trials over well-conducted observational studies are justified, especially when results from the two methods are contradictory. The third paper argues that postulating the unpredictability paradox in systematic reviews when no detectable empirical differences can be found requires further justification. The fourth paper examines the problem of absence causation in the context of explaining causal mechanisms and argues that a recent solution is incomplete and requires further justification. Solving the problem by describing absences as causes of 'mechanism failure' fails to take into account the effects of absences that lead to vacillating levels of mechanism functionality. The fifth paper criticises literature that has emphasised functioning versus 'broken' or 'non-functioning' mechanisms emphasising that many diseases result from increased or decreased mechanism function, rather than complete loss of function. Mechanistic explanations must account for differences in the effectiveness of performed functions, yet current philosophical mechanistic explanations do not achieve this. The last paper argues that the standard of evidence embodied in the ICE theory of technological function is too permissive for evaluating whether the proposed functions of medical technologies have been adequately assessed and correctly ascribed. It argues that high-quality evidence from clinical studies is necessary to justify functional ascriptions to health care technologies. (shrink)

This work addresses the critical discussion featured in the contemporary literature about two well-known paradoxes belonging to different philosophical traditions, namely Frege’s puzzling claim that “the concept horse is not a concept” and Gongsun Long’s “white horse is not horse”. We first present the source of Frege’s paradox and its different interpretations, which span from plain rejection to critical analysis, to conclude with a more general view of the role of philosophy as a fight against the misunderstandings that (...) come from the different uses of language (a point later developed by the “second” Wittgenstein). We then provide an overview of the ongoing discussions related to the Bai Ma Lun paradox, and we show that its major interpretations include—as in the case of Frege’s paradox—dismissive accounts that regard it as either useless or wrong, as well as attempts to interpret and repair the argument. Resting on our reading of Frege’s paradox as an example of the inescapability of language misunderstandings, we advance a similar line of interpretation for the paradox in the Bai Ma Lun: both the paradoxes, we suggest, can be regarded as different manifestations of similar concerns about language, and specifically about the difficulty of referring to concepts via language. (shrink)

The main goal of this paper is to investigate what explanatory resources Robert Brandom’s distinction between acknowledged and consequential commitments affords in relation to the problem of logical omniscience. With this distinction the importance of the doxastic perspective under consideration for the relationship between logic and norms of reasoning is emphasized, and it becomes possible to handle a number of problematic cases discussed in the literature without thereby incurring a commitment to revisionism about logic. One such case in particular (...) is the preface paradox, which will receive an extensive treatment. As we shall see, the problem of logical omniscience not only arises within theories based on deductive logic; but also within the recent paradigm shift in psychology of reasoning. So dealing with this problem is important not only for philosophical purposes but also from a psychological perspective. (shrink)

This book concerns the foundations of epistemic modality and hyperintensionality and their applications to the philosophy of mathematics. I examine the nature of epistemic modality, when the modal operator is interpreted as concerning both apriority and conceivability, as well as states of knowledge and belief. The book demonstrates how epistemic modality and hyperintensionality relate to the computational theory of mind; metaphysical modality and hyperintensionality; the types of mathematical modality and hyperintensionality; to the epistemic status of large cardinal axioms, undecidable propositions, (...) and abstraction principles in the philosophy of mathematics; to the modal and hyperintensional profiles of the logic of rational intuition; and to the types of intention, when the latter is interpreted as a hyperintensional mental state. Chapter 2 argues for a novel type of expressivism based on the duality between the categories of coalgebras and algebras, and argues that the duality permits of the reconciliation between modal cognitivism and modal expressivism. I also develop a novel topic-sensitive truthmaker semantics for dynamic epistemic logic, and develop a novel dynamic epistemic two-dimensional hyperintensional semantics. Chapter 3 provides an abstraction principle for epistemic (hyper-)intensions. Chapter 4 advances a topic-sensitive two-dimensional truthmaker semantics, and provides three novel interpretations of the framework along with the epistemic and metasemantic. Chapter 5 applies the fixed points of the modal μ-calculus in order to account for the iteration of epistemic states in a single agent, by contrast to availing of modal axiom 4 (i.e. the KK principle). The fixed point operators in the modal μ-calculus are rendered hyperintensional, which yields the first hyperintensional construal of the modal μ-calculus in the literature and the first application of the calculus to the iteration of epistemic states in a single agent instead of the common knowledge of a group of agents. Chapter 6 advances a solution to the Julius Caesar problem based on Fine's `criterial' identity conditions which incorporate conditions on essentiality and grounding. Chapter 7 provides a ground-theoretic regimentation of the proposals in the metaphysics of consciousness and examines its bearing on the two-dimensional conceivability argument against physicalism. The topic-sensitive epistemic two-dimensional truthmaker semantics developed in chapters 2 and 4 are availed of in order for epistemic states to be a guide to metaphysical states in the hyperintensional setting. Chapters 8-12 provide cases demonstrating how the two-dimensional hyperintensions of hyperintensional, i.e. topic-sensitive epistemic two-dimensional truthmaker, semantics, solve the access problem in the epistemology of mathematics. Chapter 8 examines the interaction between my hyperintensional semantics and the axioms of epistemic set theory, large cardinal axioms, the Epistemic Church-Turing Thesis, the modal axioms governing the modal profile of Ω-logic, Orey sentences such as the Generalized Continuum Hypothesis, and absolute decidability. These results yield inter alia the first hyperintensional Epistemic Church-Turing Thesis and hyperintensional epistemic set theories in the literature. Chapter 9 examines the modal and hyperintensional commitments of abstractionism, in particular necessitism, and epistemic hyperintensionality, epistemic utility theory, and the epistemology of abstraction. I countenance a hyperintensional semantics for novel epistemic abstractionist modalities. I suggest, too, that observational type theory can be applied to first-order abstraction principles in order to make first-order abstraction principles recursively enumerable, i.e. Turing machine computable, and that the truth of the first-order abstraction principle for hyperintensions is grounded in its being possibly recursively enumerable and the machine being physically implementable. Chapter 10 examines the philosophical significance of hyperintensional Ω-logic in set theory and discusses the hyperintensionality of metamathematics. Chapter 11 provides a modal logic for rational intuition and provides a hyperintensional semantics. Chapter 12 avails of modal coalgebras to interpret the defining properties of indefinite extensibility, and avails of hyperintensional epistemic two-dimensional semantics in order to account for the interaction between the interpretational and objective modalities and truthmakers thereof. This yields the first hyperintensional category theory in the literature. I invent a new mathematical trick in which first order structures are treated as categories, and Vopenka's principle can be satisfied because of the elementary embeddings between the categories and generate Vopenka cardinals while bypassing the category of Set in category theory. Chapter 13 examines modal responses to the alethic paradoxes. Chapter 14 examines, finally, the modal and hyperintensional semantics for the different types of intention and the relation of the latter to evidential decision theory. (shrink)

In Nicomachean Ethics VII, Aristotle offers an account of akrasia that purports to salvage the kernel of truth in the Socratic paradox that people act against what is best only through ignorance. Despite Aristotle’s apparent confidence in having identified the sense in which Socrates was right about akrasia, we are left puzzling over Aristotle’s own account, and the extent to which he agrees with Socrates. The most fundamental interpretive question concerns the sense in which Aristotle takes the akratic to (...) be ignorant. The received view in the literature has been the intellectualist interpretation, which takes akratic agents to be so ignorant of the wrongness of what they do as to be unaware of it. In recent decades, many scholars have identified serious problems in this interpretation and have moved towards the non-intellectualist reading, the strong version of which takes clearheaded akrasia to be possible. There is, however, a glaring shortage of discussion of the difficulties facing the strong... (shrink)

In this paper I investigate central temporal and spatial notions in the second part of Plato’s Parmenides and argue that also these notions, and not only the metaphysical ones usually discussed in the literature, can be understood as a response to positions and problems put on the table by Parmenides and Zeno. Of the spatial notions examined in the dialogue, I look at the problems raised for possessing location and shape, while with respect to temporal notions, I focus on (...) the discussion of ‘being in time’ and exaiphnês (the latter notion will be shown to be also an important influence for Aristotle’s Physics). In displaying a paradoxical character and taking up crucial notions from Parmenides, the second part of the Parmenides seems to display some resemblance to Zeno’s paradoxes. I will show, however, that in contrast to Zeno, the second part of Plato’s Parmenides also demonstrates Parmenides’ One to be problematic on its own terms. Furthermore, the dialogue presents not only important problems that these spatial and temporal notions seem to lead us into, but also establishes some positive features necessary to think of time and space. In this way, Plato’s Parmenides can be seen as contributing to the development of temporal and spatial conceptualisations in ancient Greek thought. (shrink)

The conclusion of the McKinsey paradox is that certain contingent claims about the external world are knowable a priori. Almost all of the literature on the paradox assumes that this conclusion is unacceptable, and focuses on finding a way of avoiding it. However, there is no consensus that any of these responses work. In this paper I take a different approach, arguing that the conclusion is acceptable. First, I develop our understanding of what Evans calls merely superficially (...) contingent a priori knowledge, and explain why there is no reason to deny that merely superficially contingent a priori knowledge of the external world is possible. I then argue that, properly understood, the conclusion of the McKinsey paradox is that merely superficially contingent knowledge of certain claims about the external world is possible, and so the conclusion is acceptable. Finally, I respond to the two main arguments that the conclusion of the paradox is unacceptable. (shrink)

Stoic philosophers had to face the accusation of incoherence, self-contradiction and Paradoxes since ancient times. Plutarch in his Moralia writes against them; Cicero devotes a separate work on stoic paradoxes. Even in contemporary Literature there are still discussions on the possibility of such an incoherence and existence of paradoxes in the stoic theory. At first glance, stoic Cosmology gives the impression to both accept a kind of Determinism, and at the same time it undoubtedly argues for the moral agent’s (...) freedom of the Will. In pre-stoic or even other contemporary to Stoicism Philosophical Traditions, the definitions that these two terms/concepts are given, fairly accuse as incoherent any Theory that does not set them as “contraries”. Under these types of accusations, the stoic Cosmology and Theory of the Freedom of the Will is often to be included. This phenomenal self-contradiction inside the Principles of Stoicism becomes even more obvious in Epictetus, a philosopher of the Late Stoa. He is interested in practical ethics, thus the phenomenal contradiction gets more lucid. This would have augmented the criticism of the Stoic philosophy for incoherence, if Epictetus had not made his main philosophical aim/target : the clarification of how an agent’s Will can be Free inside a Universe ruled by Fate/Destiny ; namely, a Universe merely Determined by Nature’s/God’s Will. Epictetus’ originality appears in the way he interrelates the concept of Freedom of the Will with the concept of Destiny and Determinism, in order to accomplish their simultaneous co-existence. This approach guards him against being easily accused for incoherence and self-contradiction. Through the unique way he understands and defines the Moral Agency, which is the agent’s internal state/condition/disposition, he steers towards an integrated, accomplished, strong and coherent line of argument. This sturdy declaration is able to support the weight of the Consent to a Free Will, and thus a certain kind Freedom of the moral agent. The excellence of this line of argument is that it can bear also the burden of the Consent to the phenomenally contrary concept of Determinism and Destiny. The elements used to the construction of this argument, which is stretched throughout the whole epictetean corpus can be summarised to a few key concepts, which are: the things which are in our power and the things which are not in our power, the concept of Freedom. These concepts work towards his philosophical targeting, because of the special definition he gives them. Axiomatically Epictetus states that in order for man to be free, it is necessary to be liberated from what the body forces him to do. Desires, passions and beliefs are considered as elements which are external to the moral agent. The moral agent “shrinks” into the Will. Thus man has the capability to free himself from anything external to his Will and therefore to harmonise his own Will to the Will of Nature/God; namely, to will what Nature/God wills and thus never conflict to the external facts. Consequently, Epictetus’ solution, is to include in the category of τά οὐκ ἐφ' ἡμῖν anything that he defines as external to the prohairesis: the desires, beliefs, passions and in general anything the body entails, the external facts. Thus the prohairesis, remains unhindered and it is completely depended on man’s power ; as characteristically Epictetus writes, “not even Zeus himself can overpower” the prohairesis. -/- Dissertation for the MSc Ancient Philosophy (2008-2009) at The University of Edinburgh, supervised by Inna Kupreeva. (shrink)

Nietzsche talks about shame [scham*, schmach*, schand*] in all of his published and authorized works, from The Birth of Tragedy to Ecce Homo. He refers to shame in over one hundred passages – at least five times as often as he refers to resentment/ressentiment. Yet the scholarly literature on Nietzsche and shame includes just a handful of publications, while the literature on Nietzsche and resentment includes over a thousand. Arguably, this disproportionate engagement has been driven by the fact (...) that English translations of Nietzsche’s writings systematically italicize and transliterate ‘ressentiment’ rather than treating it as the normal word it is. In any case, this chapter aims to fill the gap in the secondary literature by using digital humanities methods to systematically investigate the functions of shame in Nietzsche’s writings. I argue that Nietzsche is ambivalent about shame, depending on the function that it serves. There are four main functions. First, in a society of near-equals, it regulates interactions and incentives in ways that preserve game-theoretic equilibria. Second and relatedly, Nietzsche associates the capacity to experience nuanced and appropriate feelings of shame – and to anticipate them in others – with the pathos of distance, a virtue that he associates with nobility. Third, when shame is directed towards fixed aspects of human nature, it transforms those aspects into vices; by contrast, when it is directed towards malleable aspects of human nature, it may foster self-improvement and virtue. Nietzsche frequently laments the way that shame targets immutable aspects of ourselves. Finally and relatedly, Nietzsche casts counter-shame on those who would direct first-order shame on fixed aspects of human nature, as well as a paradoxical form of uplifting shame on their victims. If this is right, then Nietzsche does not offer a univocal verdict on shame. Instead, like many other emotions and emotional capacities, shame is inescapable, complex, and function-relative. (shrink)

Bioethics journals have lagged behind medical and science journals in exploring the threat of conflict of interest (COI) to the integrity of publications. Some recent discussions of COI that have occurred in the bioethics literature are reviewed. Discussions of what has been termed the ?Healy affair? unintentionally demonstrate that the direct and indirect influence of undisclosed COI may come from those who call for protection from the undue influence of industry. Paradoxically, the nature and tone of current discussions may (...) serve to dull sensitivities to what is indeed a serious set of issues facing bioethics. Some proposals are presented to address COI and other challenges to the integrity of bioethics and its journals. COI is too important a topic to be left to ideologues, and there is no substitute for readers' caution and skepticism as tools in dealing with the full range of biases that exist in published papers. (shrink)

Essays in Romanian, English, French, and Portuguese, some of which are translations.

This essay provides a novel account of iterated epistemic states. The essay argues that states of epistemic determinacy might be secured by countenancing iterated epistemic states on the model of fixed points in the modal $\mu$-calculus. Despite the epistemic indeterminacy witnessed by the invalidation of modal axiom 4 in the sorites paradox -- i.e. the KK principle: $\square$$\phi$ $\rightarrow$ $\square$$\square$$\phi$ -- a hyperintensional epistemic $\mu$-automaton permits fixed points to entrain a principled means by which to iterate epistemic states and (...) account thereby for necessary conditions on self-knowledge. The hyperintensional epistemic $\mu$-calculus is applied to the iteration of the epistemic states of a single agent instead of the common knowledge of a group of agents, and is thus a novel contribution to the literature. (shrink)

This book concerns the foundations of epistemic modality and hyperintensionality and their applications to the philosophy of mathematics. I examine the nature of epistemic modality, when the modal operator is interpreted as concerning both apriority and conceivability, as well as states of knowledge and belief. The book demonstrates how epistemic modality and hyperintensionality relate to the computational theory of mind; metaphysical modality and hyperintensionality; the types of mathematical modality and hyperintensionality; to the epistemic status of large cardinal axioms, undecidable propositions, (...) and abstraction principles in the philosophy of mathematics; to the modal and hyperintensional profiles of the logic of rational intuition; and to the types of intention, when the latter is interpreted as a hyperintensional mental state. Chapter 2 argues for a novel type of expressivism based on the duality between the categories of coalgebras and algebras, and argues that the duality permits of the reconciliation between modal and hyperintensional cognitivism and modal and hyperintensional expressivism. I also develop a novel, topic-sensitive truthmaker semantics for dynamic epistemic logic, and develop a novel, dynamic two-dimensional semantics grounded in two-dimensional hyperintensional Turing machines. Chapter 3 provides an abstraction principle for epistemic (hyper-)intensions. Chapter 4 advances a topic-sensitive two-dimensional truthmaker semantics, and provides three novel interpretations of the framework along with the epistemic and metasemantic. Chapter 5 applies the fixed points of the modal μ-calculus in order to account for the iteration of epistemic states in a single agent, by contrast to availing of modal axiom 4 (i.e. the KK principle). The fixed point operators in the modal μ-calculus are rendered hyperintensional, which yields the first hyperintensional construal of the modal μ-calculus in the literature and the first application of the calculus to the iteration of epistemic states in a single agent instead of the common knowledge of a group of agents. Chapter 6 advances a solution to the Julius Caesar problem based on Fine's `criterial' identity conditions which incorporate conditions on essentiality and grounding. Chapter 7 provides a ground-theoretic regimentation of the proposals in the metaphysics of consciousness and examines its bearing on the two-dimensional conceivability argument against physicalism. The topic-sensitive epistemic two-dimensional truthmaker semantics developed in chapters 2 and 4 are availed of in order for epistemic states to be a guide to metaphysical states in the hyperintensional setting. -/- Chapters 8-12 provide cases demonstrating how the two-dimensional hyperintensions of hyperintensional, i.e. topic-sensitive epistemic two-dimensional truthmaker, semantics, solve the access problem in the epistemology of mathematics. Chapter 8 examines the interaction between my hyperintensional semantics and the axioms of epistemic set theory, large cardinal axioms, the Epistemic Church-Turing Thesis, the modal axioms governing the modal profile of Ω-logic, Orey sentences such as the Generalized Continuum Hypothesis, and absolute decidability. These results yield inter alia the first hyperintensional Epistemic Church-Turing Thesis and hyperintensional epistemic set theories in the literature. Chapter 9 examines the modal and hyperintensional commitments of abstractionism, in particular necessitism, and epistemic hyperintensionality, epistemic utility theory, and the epistemology of abstraction. I countenance a hyperintensional semantics for novel epistemic abstractionist modalities. I suggest, too, that higher observational type theory can be applied to first-order abstraction principles in order to make first-order abstraction principles recursively enumerable, i.e. Turing machine computable, and that the truth of the first-order abstraction principle for hyperintensions is grounded in its being possibly recursively enumerable and the machine being physically implementable. Chapter 10 examines the philosophical significance of hyperintensional Ω-logic in set theory and discusses the hyperintensionality of metamathematics. Chapter 11 provides a modal logic for rational intuition and provides a hyperintensional semantics. Chapter 12 avails of modal coalgebras to interpret the defining properties of indefinite extensibility, and avails of hyperintensional epistemic two-dimensional semantics in order to account for the interaction between interpretational and objective modalities and the truthmakers thereof. This yields the first hyperintensional category theory in the literature. I invent a new mathematical trick in which first-order structures are treated as categories, and Vopenka's principle can be satisfied because of the elementary embeddings between the categories and generate Vopenka cardinals in the category of Set in category theory. Chapter 13 examines modal responses to the alethic paradoxes. Chapter 14 examines, finally, the modal and hyperintensional semantics for the different types of intention and the relation of the latter to evidential decision theory. (shrink)

Although expected utility theory has proven a fruitful and elegant theory in the finite realm, attempts to generalize it to infinite values have resulted in many paradoxes. In this paper, we argue that the use of John Conway's surreal numbers shall provide a firm mathematical foundation for transfinite decision theory. To that end, we prove a surreal representation theorem and show that our surreal decision theory respects dominance reasoning even in the case of infinite values. We then bring our theory (...) to bear on one of the more venerable decision problems in the literature: Pascal's Wager. Analyzing the wager showcases our theory's virtues and advantages. To that end, we analyze two objections against the wager: Mixed Strategies and Many Gods. After formulating the two objections in the framework of surreal utilities and probabilities, our theory correctly predicts that (1) the pure Pascalian strategy beats all mixed strategies, and (2) what one should do in a Pascalian decision problem depends on what one's credence function is like. Our analysis therefore suggests that although Pascal's Wager is mathematically coherent, it does not deliver what it purports to, a rationally compelling argument that people should lead a religious life regardless of how confident they are in theism and its alternatives. (shrink)

The paper takes a closer look at the role of knowledge and evidence in legal theory. In particular, the paper examines a puzzle arising from the evidential standard Preponderance of the Evidence and its application in civil procedure. Legal scholars have argued since at least the 1940s that the rule of the Preponderance of the Evidence gives rise to a puzzle concerning the role of statistical evidence in judicial proceedings, sometimes referred to as the Problem of Bare Statistical Evidence. While (...) this puzzle has led to the development of a multitude of accounts and approaches in the legal literature, I argue here that the problem can be resolved fairly straightforwardly within a knowledge-first framework. (shrink)

The Black antislavery theorist Quobna Ottobah Cugoano (c.1757–c.1791) is increasingly recognized as a noteworthy figure in the history of philosophy. Born in present-day Ghana, Cugoano was enslaved at the age of 13 and shipped to Grenada, before being taken onwards to England, where the 1772 Somerset court ruling in effect freed him. His Thoughts and Sentiments on the Evil of Slavery [1787/1791] broke new ground by demanding the immediate end of the slave-trade and of slavery itself, without any compensation to (...) slaveholders. Notwithstanding this, Cugoano endorsed the legitimacy of penal enslavement on principled grounds – like many other abolitionists writing in late eighteenth-century Britain. “Every free community might keep slaves, or criminal prisoners in bondage” – and even sell them. Amidst the growing literature exploring Cugoano’s abolitionism, his paradoxical justification of penal slavery has bewildered commentators. Far from an offhand inconsistency, I argue that this justification is deeply embedded within his moral and legal philosophy; constraining his antislavery arguments while simultaneously serving retaliatory aims. His two-pronged principle of just punishment – the lex talionis (‘eye for an eye, bondage for bondage’) as tempered by mercy – sometimes demands penally enslaving colonial slaveholders and slave-traders in turn. Throughout, I compare Cugoano’s justification of penal enslavement with those of other early modern philosophers, especially Locke and Kant. This helps me position Cugoano within the history of philosophy, thus making his views more accessible to a wider philosophical audience. It also indicates just how deeply theories of punishment shaped philosophical thinking about penal bondage in the period. (shrink)

This paper consists of an investigation of three debates concerning propositional identity: the tension between structured propositions and higher-order logic, the principle Only Logical Circles, and Kaplan’s Paradox. The literature at large has mistaken the consequences of each of these debates. Structuralists are not committed to the claim that identical properties have different extensions; rather, they are committed to existence monism. Only Logical Circles does not preclude the identification of green in terms of grue; some further (and, as (...) of yet, undisclosed) principle is required for that result. And Kaplan’s Paradox does not count against the possible-worlds conception of propositions; it applies to every account of propositions whatsoever. (shrink)

The material interpretation of conditionals is commonly recognized as involving some paradoxical results. I here argue that the truth functional approach to natural language is the reason for the inadequacy of this material interpretation, since the truth or falsity of some pair of statements ‘p’ and ‘q’ cannot per se be decisive for the truth or falsity of a conditional relation ‘if p then q’. This inadequacy also affects the ability of the overall formal system to establish whether or not (...) arguments involving conditionals are valid. I also demonstrate that the Paradox of Indicative Conditionals does not actually involve a paradox, but instead contains some paralogistic elements that make it appear to be a paradox. The discussion of the paradox in this paper further reveals that the material interpretation of conditionals adversely affects the treatment of disjunctions. -/- Much has been said about these matters in the literature that point in the same direction. However, there seems to be some reluctance against fully complying with the arguments against the truth functional account of conditionals, since many of the alternative accounts rely on the material conditional, or at least on an understanding of the conditional as a function of antecedent and consequent in a similar sense as the material conditional. My argument against truth functionality indicates that it may in general involve similar problems to treat conditionals as such functions, whether one deals with theories of truth, assertability or probability. (shrink)

Freud’s discussion of uncanny [unheimlich] experiences focuses on their peculiar ambivalence. On his view, the uncanny is a paradoxical feeling of both familiarity and alienation. While Freud’s analysis of this paradoxical feeling does succeed in explaining it away, it does little to explain it. One might expect a psychoanalytical demystification of the real experience that is hidden behind the superstitious overtones of uncanny experiences. Instead, the uncanny is attributed rather anti- climactically to the combination of a previous superstition (maintained unconsciously) (...) and an entirely coincidental verification of that superstition. The implication is that there is no uncanny per se. There is no distinctive category of experience, the unique character of which tends to cause or encourage superstitious beliefs; rather, such beliefs are prerequisite to having the experience. In other words, the experience suits the belief, and not vice-versa. The uncanny is the fantasized verification of a repressed fantasy. It involves a breakdown of the reality principle and the projection of beliefs into the external world, rather than a peculiarity of feeling that can be linked intrinsically to a specific category of experience. I do not intend to reject this analysis in its entirety. The basic structure, repression and return, is sound. However, Freud’s analysis of the uncanny, which resolves uncanny ambivalence into the separate categories of consciousness and unconsciousness, merely reinstates the problematical opposition of das heimliche and das unheimliche, familiar and unfamiliar, within the mind rather than in the external world. The coincidence of the two feelings in uncanny experience cannot be explained without an intervening stage between repression and return. I will suggest that Freud’s characterization of uncanniness as the return, in superstition, of the repressed is a misplacement of the experience of uncanniness. The aesthetical feeling is the cause of, but not identical to, the projected superstitions and ideas which surround it. An explanation of the feeling of uncanniness must fall not on the side of the repressed, but on the side of consciousness. The import of my position is that the feeling of uncanniness refers, in a manner of speaking, to something “real,” rather than merely to infantile ideas projected upon the external world. Freud’s explanation makes the unconscious a kind of scapegoat to be blamed for imposing fundamentally irrational beliefs into our interpretation of present experience, in that way preserving a model of the conscious ego as autonomous, fundamentally attuned to reality and ultimately independent of the unconscious. I will argue, on the contrary, that the experience of the uncanny is not merely a falling back into irrational or infantile beliefs, but an experience of a deep disunity in personhood that rightly causes us to question our everyday confidence in the unity, independence, and rationality of our conscious sense of self. The ambivalence of the feeling has its source in an irresolvable ambivalence that can exist in consciousness, and not simply in an analytically resolvable psychical ambivalence between consciousness and the unconscious. (shrink)

This book concerns the foundations of epistemic modality and hyperintensionality and their applications to the philosophy of mathematics. I examine the nature of epistemic modality, when the modal operator is interpreted as concerning both apriority and conceivability, as well as states of knowledge and belief. The book demonstrates how epistemic modality and hyperintensionality relate to the computational theory of mind; metaphysical modality and hyperintensionality; the types of mathematical modality and hyperintensionality; to the epistemic status of large cardinal axioms, undecidable propositions, (...) and abstraction principles in the philosophy of mathematics; to the modal and hyperintensional profiles of the logic of rational intuition; and to the types of intention, when the latter is interpreted as a hyperintensional mental state. Chapter 2 argues for a novel type of expressivism based on the duality between the categories of coalgebras and algebras, and argues that the duality permits of the reconciliation between modal and hyperintensional cognitivism and modal and hyperintensional expressivism. I also develop a novel, topic-sensitive truthmaker semantics for dynamic epistemic logic, and develop a novel, dynamic two-dimensional semantics grounded in two-dimensional hyperintensional Turing machines. Chapter 3 provides an abstraction principle for epistemic (hyper-)intensions. Chapter 4 advances a topic-sensitive two-dimensional truthmaker semantics, and provides three novel interpretations of the framework along with the epistemic and metasemantic. Chapter 5 applies the fixed points of the modal μ-calculus in order to account for the iteration of epistemic states in a single agent, by contrast to availing of modal axiom 4 (i.e. the KK principle). The fixed point operators in the modal μ-calculus are rendered hyperintensional, which yields the first hyperintensional construal of the modal μ-calculus in the literature and the first application of the calculus to the iteration of epistemic states in a single agent instead of the common knowledge of a group of agents. Chapter 6 advances a solution to the Julius Caesar problem based on Fine's `criterial' identity conditions which incorporate conditions on essentiality and grounding. Chapter 7 provides a ground-theoretic regimentation of the proposals in the metaphysics of consciousness and examines its bearing on the two-dimensional conceivability argument against physicalism. The topic-sensitive epistemic two-dimensional truthmaker semantics developed in chapters 2 and 4 are availed of in order for epistemic states to be a guide to metaphysical states in the hyperintensional setting. -/- Chapters 8-12 provide cases demonstrating how the two-dimensional hyperintensions of hyperintensional, i.e. topic-sensitive epistemic two-dimensional truthmaker, semantics, solve the access problem in the epistemology of mathematics. Chapter 8 examines the interaction between my hyperintensional semantics and the axioms of epistemic set theory, large cardinal axioms, the Epistemic Church-Turing Thesis, the modal axioms governing the modal profile of Ω-logic, Orey sentences such as the Generalized Continuum Hypothesis, and absolute decidability. These results yield inter alia the first hyperintensional Epistemic Church-Turing Thesis and hyperintensional epistemic set theories in the literature. Chapter 9 examines the modal and hyperintensional commitments of abstractionism, in particular necessitism, and epistemic hyperintensionality, epistemic utility theory, and the epistemology of abstraction. I countenance a hyperintensional semantics for novel epistemic abstractionist modalities. I suggest, too, that higher observational type theory can be applied to first-order abstraction principles in order to make first-order abstraction principles recursively enumerable, i.e. Turing machine computable, and that the truth of the first-order abstraction principle for hyperintensions is grounded in its being possibly recursively enumerable and the machine being physically implementable. Chapter 10 examines the philosophical significance of hyperintensional Ω-logic in set theory and discusses the hyperintensionality of metamathematics. Chapter 11 provides a modal logic for rational intuition and provides a hyperintensional semantics. Chapter 12 avails of modal coalgebras to interpret the defining properties of indefinite extensibility, and avails of hyperintensional epistemic two-dimensional semantics in order to account for the interaction between interpretational and objective modalities and the truthmakers thereof. This yields the first hyperintensional category theory in the literature. I invent a new mathematical trick in which first-order structures are treated as categories, and Vopenka's principle can be satisfied because of the elementary embeddings between the categories and generate Vopenka cardinals in the category of Set in category theory. Chapter 13 examines modal responses to the alethic paradoxes. Chapter 14 examines, finally, the modal and hyperintensional semantics for the different types of intention and the relation of the latter to evidential decision theory. (shrink)

Narrated in the first person, Peter Carey’s novel about the life of Australian bushranger Ned Kelly incorporates other aspects of speech derived both from Carey’s personal experience and from the editorial process. Kelly's voice is toned down to some extent by virtue of the latter, introducing expressions Kelly himself would not have used. Identifying these elements, along with the specific attributes of Kelly’s own speech, enjoins a diversity of cultural and social groupings that intersect and, in some instances, compete with (...) or contradict one another. Shifts in speakers might be signalled by textual markers or by adopting different expressive qualities and speech patterns, which may or may not include a change in grammatical person. In this novel, at one instance, a shift in person is apparent, but I want to argue, not necessarily a shift in the identity of the speaker because, although the grammatical voice shifts, its qualitative features are largely unaltered. The shift nonetheless introduces a significant change. Paradoxically, as far as literary theory is concerned, the subjective qualities produced through voice mean that stylisations of speech may be indicative of character point of view, rather than what is understood to be narrative voice, because they might function in narrative as inflections of speech that do not correspond to the established voice of the grammatically instanced speaker—offering a focalised perspective instead. The shift in True History presents problems in these terms, however: the point of view instanced here is clearly that belonging to the speaker, though the voice is Kelly’s, for the narrator’s point of view determines the generality of the descriptive terms where once these were specific and personal. Had the novel been narrated wholly in third person, an unproblematic reading of Kelly’s point of view, suggested by the use of his voice, would be possible. But the shift undermines this—Kelly’s point of view gives way to another, instanced in the shift that takes place in narrative voice. Carey, in other words, inverts the convention. This is not an instance of free indirect style or discourse, where grammatical mood is at odds with the speaker’s position and tenses align with the implicated subject position of another. The same features of voice that might identify character point of view must, in absence of any disparity of mood or tone, function in respect to narrative voice to convey something of its speaker’s subjectivity, and this seems apparent here: the speaker shares Kelly’s subjective emotional and intellectual perspective, but no longer occupies the subject position. Carey’s voicing of the bushranger therefore complicates distinctions between voice and point of view by revealing qualitative features of voice to be important to the question of who is speaking the narrative. (shrink)

Over almost a half-century, evidence law scholars and philosophers have contended with what have come to be called the “Proof Paradoxes.” In brief, the following sort of paradox arises: Factfinders in criminal and civil trials are charged with reaching a verdict if the evidence presented meets a particular standard of proof—beyond a reasonable doubt, in criminal cases, and preponderance of the evidence, in civil trials. It seems that purely statistical evidence can suffice for just such a level of certainty (...) in a variety of cases where our intuition is that it would nonetheless be wrong to convict the defendant, or find in favor of the plaintiff, on merely statistical evidence. So, we either have to convict with statistical evidence, in spite of an intuition that this is unsettling, or else explain what (dispositive) deficiency statistical evidence has. -/- Most scholars have tried to justify the resistance to relying on merely statistical evidence: by relying on epistemic deficiencies in this kind of evidence; by relying on court practice; and also by reference to the psychological literature. In fact, I argue, the epistemic deficiencies philosophers and legal scholars allege are suspect. And, I argue, while scholars often discuss unfairness to civil defendants, they ignore a long history of relying on statistical evidence in a variety of civil matters, including employment discrimination, toxic torts, and market share liability cases. Were the dominant arguments in the literature to prevail, it would extremely difficult for plaintiffs to recover in a variety of cases. -/- The various considerations I advance lead to the conclusion that when it comes to naked statistical evidence, philosophers and legal scholars who argue for its insufficiency have been caught with their pants down. (shrink)

It has a long history of teaching English literature and language in this sub-continent. The European colonial rulers introduced this teaching with the motive of serving their own purpose, but paradoxically this teaching has benefited the people of this soil as well in many ways. From the very beginning, the English department of any college or university has been treated as one of the most prestigious departments that have produced the best citizens of this soil. But recently the teaching (...) scenario of these departments in Bangladesh is being severely affected owing to different kinds of changes that have occurred in the social and academic arenas of the country. It is now the demand of the present time that the English departments of the universities of our country should take proper steps to address those problems properly and bring back its reputation. The present study attempts to find out the problems that are affecting the teaching and learning process of these departments and thereby damaging the glory and reputation of them, and also to provide some suggestions to cope with those problems. (shrink)

In normative political theory, it is widely accepted that democracy cannot be reduced to voting alone, but that it requires deliberation. In formal social choice theory, by contrast, the study of democracy has focused primarily on the aggregation of individual opinions into collective decisions, typically through voting. While the literature on deliberation has an optimistic flavour, the literature on social choice is more mixed. It is centred around several paradoxes and impossibility results identifying conflicts between different intuitively plausible (...) desiderata. In recent years, there has been a growing dialogue between the two literatures. This paper discusses the connections between them. Important insights are that (i) deliberation can complement aggregation and open up an escape route from some of its negative results; and (ii) the formal models of social choice theory can shed light on some aspects of deliberation, such as the nature of deliberation-induced opinion change. (shrink)

The Surprise Exam Paradox is well-known: a teacher announces that there will be a surprise exam the following week; the students argue by an intuitively sound reasoning that this is impossible; and yet they can be surprised by the teacher. We suggest that a solution can be found scattered in the literature, in part anticipated by Wright and Sudbury, informally developed by Sorensen, and more recently discussed, and dismissed, by Williamson. In a nutshell, the solution consists in realising (...) that the teacher's announcement is a blindspot that can only be known if the week is at least 2 days long. Along the way, we criticise Williamson's own treatment of the paradox. In Williamson's view, the Surprise is similar to the Paradox of the Glimpse and, because of their similarities, both these paradoxes ought to receive a uniform treatment-one that involves locating an illicit application of the KK Principle. We argue that there's no deep analogy between the Surprise and the Glimpse and that, even if there were, the Surprise reasoning reaches a paradoxical conclusion before the KK Principle is used. Rather, in both the Surprise and the Glimpse, the blame should be put on other epistemic principles-respectively, a knowledge retention and a margin for error principle. (shrink)

Aided by Michel Foucault’s concept of panopticon and a discussion on the function of fairy tales and modern fiction, this paper aims to deal with the question: If human beings truly are civilized, then why do we glorify the Other in our literature? History has shown that human beings have been forming and developing societies for thousands of years. This development also constantly shows that societies have been dealing with or acting upon violent impulses in order to produce a (...) certain level of normalcy; and considering how modern societies have relied upon surveillance and discipline to produce normalization, we could say that this process of production of the normal would also produce the unacceptable non-normal, the Other. However, from the fairy tales to the more modern forms of fiction, we keep on finding this paradox: the portrayal of the non-normal Other to the point of acceptability. (shrink)

In this entry, I seek to show the interdependence of questions about self-deception in philosophy of mind, psychology, and ethics. I taxonomize solutions to the paradoxes of self-deception, present possible psychological mechanisms behind it, and highlight how different approaches to the philosophy of mind and psychology will affect how we answer important ethical questions. Is self-deception conducive to happiness? How does self-deception affect responsibility? Is there something intrinsically wrong with self-deception? The entry, on the one hand, is a tour of (...) the literature; on the other, it is a case for more work that crosses traditional sub-disciplinary boundaries. (shrink)