Many ecological economists have argued that some natural capital should be preserved for posterity. Yet, among environmental philosophers, the preservation paradox entails that preserving parts of nature, including those denoted by natural capital, is impossible. The paradox claims that nature is a realm of phenomena independent of intentional human agency, that preserving and restoring nature require intentional human agency, and, therefore, no one can preserve or restore nature (without making it artificial). While this article argues that the (...) preservation paradox is more difficult to resolve than ordinarily recognized, it also concludes by sketching a positive way to understand what it means to preserve natural capital during the Anthropocene. (shrink)

As a universal theory Luhmann's systems theory of society includes art in its ambit. The Art of Society (1995) reconstructs the formal and the social-historical conditions of the functional differentiation of a system of art since the Renaissance. The methodological focus of the reconstruction - Luhmann's theory of form (perception, first and second order observation, medium and form) and of systemic differentiation (social function, self-organization, codes and programmes, evolution and self-description of art) - are analysed in the first part of (...) the paper. The second part examines the unresolved question of the code of the art system, the hermeneutic circle integral to Luhmann's theory design, and the relation of his theory of art to the `aesthetic epoch' of art theory with special reference to Heidegger and Adorno. (shrink)

본 논문은 홉스를 통해서 보는 근대 사회에서의 계몽의 변증법을 다룬다. 그 출발점은 자기보존을 위한 자발적 복종이 근대적 주체의 특징이 되었다는 사실이다. 오늘날 신자유주의로 인한 사회의 해체와 무한경쟁의 도입 이후 오히려 민족적 동일성을 요구하는, 새로운 권위주의를 뒷받침하는 목소리가 커지고 있다는 사실은 이를 뒷받침한다. 이러한 역설은 아도르노와 호르크하이머가 『계몽의 변증법』에서 분석한 자기보존과 자기부정 사이의 역설적 관계에 상응한다. 이를 밝혀 내기 위해 이 글은 홉스의 『리바이어던』이 보여주는 자기보존의 역설적 특징을 분석하며, 이로부터 아도르노와 호르크하이머의 『계몽의 변증법』이 진단하는 자기보존의 역설을 읽어내고자 한다. 이로부터 ‘자발적 복종’과 (...) ‘자기규율’의 원칙을 넘어서는 새로운 자기보존과 주체화를 모색하는 것이 이 글의 목적이다. 즉 이 글은 홉스적 자연상태의 현실태인 현재의 경쟁적 사회의 논리에서 벗어나, 보편적 연대가 실현될 수 있는 새로운 사회관계를 모색하고자 한다. (shrink)

It appears to be a feature of our ordinary understanding of morality that we ought not to act in certain ways at all. We ought not to kill, torture, deceive, break our promises (say)—exceptional circumstances apart. Many moral duties are thought of in this way. Killing another person would be wrong even if it achieved a great good, and even if it led to preventing the deaths of several others. This feature of moral thinking is at the core of deontological (...) ethics. But while it is also part and parcel of ordinary moral thought, it seems puzzling, because it requires an agent to act (or to abstain from acting) in certain ways, even if by violating the duty she could achieve a better outcome in terms of the very restriction that she is required to heed. If the explanation of the duty not to kill were that it preserves human life it would be hard to understand why killing is not morally permitted when it leads to preserving a greater number of lives. Moreover, why should we not violate a restriction if doing so leads to fewer violations of that very restriction? There are two questions here. (1) Why not violate a restriction whose point it is to preserve lives, if doing so leads to preserving a greater number of lives? (2) Why not violate a restriction if doing so minimizes the violation of that very restriction? The latter question concerns what is sometimes called ‘the paradox of deontology’ or the problem of ‘minimizing violations’. The former may concern the so-called trolley cases, for instance. After all, a trolley hurtling towards a number of innocent people is not about to violate the moral restriction on killing innocent people, as it is not the kind of thing that can be subject to such a restriction. In this paper I am concerned only with (2): the paradox of deontology. To put it in Nozick’s terms: ‘How can a concern for the nonviolation of C [i.e. some deontological constraint] lead to refusal to violate C even when this would prevent other more extensive violations of C? -/- Samuel Scheffler, puzzled by the same idea, put it in terms of ‘agent-centred restrictions’ (ACR), because the restriction requires an agent (not) to act in certain ways, contrasting thereby with a requirement that certain actions not be done. The restriction is thus an agent-relative rather than an agent-neutral one. Scheffler ended up rejecting the idea of agent-centred restrictions, as even on close investigation the puzzle would not dissolve. Scheffler maintains that ACRs have ‘an air of paradox’ to them, as they violate what he calls maximizing rationality. ACRs appear to clash with the idea of maximizing rationality, because they require an agent to choose the option that worse achieves her goal of not harming people. I call this, following common parlance, the paradox of deontology, even though it is not strictly speaking a paradox. Exploring whether there is really a problem here, and how it might be solved, is the main objective of this paper. I begin by explaining the puzzlement about agent-centred restrictions in more detail. I then discuss promising as an example of a kind of action which is thought to be subject to agent-centred restrictions. It turns out that they are surprisingly easy to explain. The difficult case is killing—and that should put us on guard. I argue that the problem is not with the very idea of deontological restrictions, but with puzzling aspects of the ethics of killing. (shrink)

The violation of Bell inequalities by quantum physical experiments disproves all relativistic micro causal, classically real models, short Local Realistic Models (LRM). Non-locality, the infamous “spooky interaction at a distance” (A. Einstein), is already sufficiently ‘unreal’ to motivate modifying the “realistic” in “local realistic”. This has led to many worlds and finally many minds interpretations. We introduce a simple many world model that resolves the Einstein Podolsky Rosen paradox. The model starts out as a classical LRM, thus clarifying that (...) the many worlds concept alone does not imply quantum physics. Some of the desired ‘non-locality’, e.g. anti-correlation at equal measurement angles, is already present, but Bell’s inequality can of course not be violated. A single and natural step turns this LRM into a quantum model predicting the correct probabilities. Intriguingly, the crucial step does obviously not modify locality but instead reality: What before could have still been a direct realism turns into modal realism. This supports the trend away from the focus on non-locality in quantum mechanics towards a mature structural realism that preserves micro causality. (shrink)

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

This article examines the philosophical issues that arise when preserving urban geological sites or urban geosites. These are preserved not only because of their geological value but also because of aesthetic, cultural, and economic reasons. To do so, it examines the geosite constituted by Olot and its surroundings, a city in Spain that extends amid four dormant volcanoes. It explores the metaphysical paradox that these geosites have become what they are due to the preservation of destruction: human-caused interventions, (...) mostly extraction of materials and exploitation of the land, are precisely what made these geosites visible as sites worth preserving and determining their metaphysical status. It further explores the preservation criteria and shows how they have determined the status of the geosite. Second, it shows how in such urban geosites the collapse of two diametrically opposed conceptions of time – the geological eon and the lived human time – occurs. Lastly, it discusses aesthetic aspects of such geosites by considering aesthetic experience as a primarily cognitive endeavor and shows how metaphysical, epistemological, and aesthetic issues of preservation of geosites are inextricably linked. (shrink)

In this paper, I argue that the cause of morally self-defeating acts at the collective level is greed and, at the individual level, an unrestrained impulse for pleasure beyond Innocent Asouzu’s primordial instinct for self-preservation and ignorance. In investigating why humans act in self-defeating ways, Asouzu came up with two possible factors responsible for self-defeating acts: The primordial instinct for selfpreservation and ignorance. Besides Asouzu’s explanation, I here argue that the problem of self-defeating acts goes beyond the primordial instinct (...) for selfpreservation and ignorance to reveal a flaw characteristic of the human condition. At the collective level, the flaw responsible for self-defeating acts is greed and the unrestrained impulse for pleasure at the individual level. I employ the conversational method to interrogate the different views on self-defeating acts from Socrates to Asouzu and show why my explanation offers a better understanding of the problem. (shrink)

The revisionary approach to semantic paradox is commonly thought to have a somewhat uncomfortable corollary, viz. that, on pain of triviality, we cannot affirm that all valid arguments preserve truth (Beall2007, Beall2009, Field2008, Field2009). We show that the standard arguments for this conclusion all break down once (i) the structural rule of contraction is restricted and (ii) how the premises can be aggregated---so that they can be said to jointly entail a given conclusion---is appropriately understood. In addition, we briefly (...) rehearse some reasons for restricting structural contraction. (shrink)

In Saving Truth from Paradox, Hartry Field presents and defends a theory of truth with a new conditional. In this paper, I present two criticisms of this theory, one concerning its assessments of validity and one concerning its treatment of truth-preservation claims. One way of adjusting the theory adequately responds to the truth-preservation criticism, at the cost of making the validity criticism worse. I show that in a restricted setting, Field has a way to respond to the (...) validity criticism. I close with some general considerations on the use of revision-theoretic methods in theories of truth. (shrink)

Au détour de l'ordre géométrique, dans un scolie de la Quatrième partie de l'Éthique faisant suite à l'énoncé de la règle fondamentale qui associe l'utilité du corps humain, et par conséquent le bien de l'individu, à la recherche d'une constance fondamentale dans le rapport de ses parties, surgit un scolie baroque, où passe l'ombre de la mort et qui débouche sur d'inquiétantes possibilités de mutation, voire de transmutation de l'identité : « Il arrive qu'un homme subit de tels changements, que (...) je ne dirai pas aisément qu'il est le même. C'est ce que j'ai entendu raconter de certain poète espagnol qui avait été atteint de maladie et qui, bien qu'il en fût guéri, demeura cependant dans un tel oubli de sa vie passée, qu'il ne croyait pas que les nouvelles et les tragédies qu'il avait faites fussent de lui ; et certes on eût pu le tenir pour un nourrisson adulte, s'il eût oublié aussi sa langue maternelle... » De ce texte perturbateur et de sa « contradiction » centrale, qui ont semé le trouble chez les commentateurs, François Zourabichvili qui en propose une explication systématique fait le fil conducteur d'une relecture complète des relations qui associent la métaphysique spinozienne à son anthropologie et à sa politique, centrée sur la question de la transformation comme « oubli », voire amnésie d'une forme antérieure, et « imagination », chimérique ou non, d'une nouvelle aptitude du corps. Il démontre ainsi la rigoureuse correspondance qui, d'un bout à l'autre de l'œuvre, associe la question d'une sortie de l'enfance à celle d'une émancipation de l'imaginaire monarchique. A l'encontre d'une lecture naïvement « révolutionnaire » du spinozisme, surgit alors ce qu'on peut appeler un conservatisme : mais dont le paradoxe est éclatant, car il tend moins à préserver l'état de choses existant qu'à inventer les conditions d'une vraie conservation de soi (neutralisation de la mort et de la servitude). Pages de début Avertissement Introduction Première étude. Envelopper une autre nature / envelopper la nature Introduction 1. La transition éthique dans le Court traité 2. La transition éthique dans le Traité de la réforme de l'entendement Deuxième étude. L'image rectifiée de l'enfance Introduction 3. La figure de l'infans adultus 4. Enfance et philosophie 5. Enfance et mémoire Conclusion sur le rapport à l'enfance Troisième étude. Puissance de Dieu et puissance des rois Introduction 6. La confusion des deux puissances et la dérive baroque du cartésianisme 7. Le rêve transformiste de la monarchie absolue 8. Qu'est-cequ'une multitude libre? Guerre et civilisation Bibliographie Index. (shrink)

Yehoshua Bar-Hillel and Rudolph Carnap’s classical theory of semantic information entails the counterintuitive feature that inconsistent statements convey maximal information. Theories preserving Bar-Hillel and Carnap’s modal intuitions while imposing a veridicality requirement on which statements convey information—such as the theories of Fred Dretske or Luciano Floridi—avoid this commitment, as inconsistent statements are deemed not information-conveying by fiat. This paper produces a pair of paradoxical statements that such “veridical-modal” theories must evaluate as both conveying and not conveying information, although Bar-Hillel and (...) Carnap’s theory accommodates these statements without inconsistency. Moreover, the paradoxes are independently interesting as the mode in which they self-refer bears on their evaluation. (shrink)

According to the principle of Conjunction Closure, if one has justification for believing each of a set of propositions, one has justification for believing their conjunction. The lottery and preface paradoxes can both be seen as posing challenges for Closure, but leave open familiar strategies for preserving the principle. While this is all relatively well-trodden ground, a new Closure-challenging paradox has recently emerged, in two somewhat different forms, due to Backes :3773–3787, 2019a) and Praolini :715–726, 2019). This paradox (...) synthesises elements of the lottery and the preface and is designed to close off the familiar Closure-preserving strategies. By appealing to a normic theory of justification, I will defend Closure in the face of this new paradox. Along the way I will draw more general conclusions about justification, normalcy and defeat, which bear upon what Backes :2877–2895, 2019b) has dubbed the ‘easy defeat’ problem for the normic theory. (shrink)

This paper revisits the concept of autonomy and tries to elucidate the fundamental insight that freedom and law cannot be understood through their opposition, but rather have to be conceived of as conditions of one another. The paper investigates the paradigmatic Kantian formulation of this insight and discusses the diagnosis that the Kantian idea might give rise to a paradox in which autonomy reverts to arbitrariness or heteronomy. The paper argues that the fatal version of the paradox can (...) be defused if we avoid the legalistic model of autonomy and rather turn to the model of participation in a practice. This leads to a dialectical understanding of the idea of autonomy that preserves the insight that freedom and law are mutually conditioning and simultaneously reveals that they remain in irresolvable tension with one another. (shrink)

We argue that Nietzsche's interest in truth is more than merely a critical one. He criticizes one historically prominent conception of truth while proposing his own theory, called "perspectivism". However, Nietzsche's truth perspectivism appears to face a self-referential paradox, which is explored in detail. We argue that no commentator has yet solved this puzzle, and then provide our own solution. This solution, which depends upon distinguishing between weak and strong perspectivism while promoting the former, supplies Nietzsche with a consistent (...) truth theory that preserves the bulk of his claims. (shrink)

While quick to question the claims to knowledge that others make, philosophers have not so readily submitted their own affirmations to the same scrutiny. In fact, it seems to be the common conviction of philosophers that the assertions they make are cognitive, are true or false, and that philosophical disagreement is genuine disagreement. In this stimulating essay Professor Lange confronts this assumption, presents his own view of philosophy as proposal, and then seeks a solution to the paradox that his (...) view poses for philosophy. Originally published in 1970. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. (shrink)

The self-limiting revolutions of 1989 in Central Europe offer an alternative paradigm of revolutionary change that is reminiscent more of the American struggle for independence in 1776 than the Jacobin tendencies that grew out of the French Revolution of 1789. In order to understand the contradictory impulses of the revolutions of 1989—the desire for a radical renewal and the concern for preservation—this article takes as its point of departure the political thought of Hannah Arendt and Edmund Burke.

Emile Borel regards the Banach-Tarski Paradox as a reductio ad absurdum of the Axiom of Choice. Peter Forrest instead blames the assumption that physical space has a similar structure as the real numbers. This paper argues that Banach and Tarski's result is not paradoxical and that it merely illustrates a surprising feature of the continuum: dividing a spatial region into disjoint pieces need not preserve volume.

The Pinocchio paradox, devised by Veronique Eldridge-Smith in February 2001, is a counter-example to solutions to the Liar that restrict the use or definition of semantic predicates. Pinocchio’s nose grows if and only if what he is stating is false, and Pinocchio says ‘My nose is growing’. In this statement, ‘is growing’ has its normal meaning and is not a semantic predicate. If Pinocchio’s nose is growing it is because he is saying something false; otherwise, it is not growing. (...) ‘Because’ stands here for a non-semantic relation; it might be supposed to be causal or of some other nature, but it is not semantic. The paradox is discussed in relation to Tarski’s and Kripke’s theories of truth. Although the paradox is not necessarily a counter-example to a theory of a truth predicate, it is a problem for a theory of truth of the kind preserved by validity. (shrink)

The development and application of artificial intelligence (AI) technology has raised many concerns about privacy violations in the public. Thus, privacy-preserving computation technologies (PPCTs) have been developed, and it is expected that these new privacy protection technologies can solve the current privacy problems. By not directly using raw data provided by users, PPCTs claim to protect privacy in a better way than their predecessors. They still have technical limitations, and considerable research has treated PPCTs as a privacy-protecting tool and focused (...) on possible technical improvements. In this article, we argue that PPCTs cannot effectively protect privacy in the narrow sense due to their technical limitations. Moreover, although these shortcomings could be remedied, they still fall into a paradox because their aim is to protect privacy, but they could reveal private information from users. This paradox of privacy protection not only aggravates the social impact arising from AI privacy issues but may also make the current privacy protection lose its meaning, resulting in a situation in which privacy protection is useless. (shrink)

Prognostication has something of a rich and distinguished history. Hippocrates, for instance, suggests that “the best physician is the one who has the providence to tell to the patients according to his knowledge the present situation, what has happened before, and what is going to happen in the future”. In Hippocrates’s estimation, the truly exceptional physician is one who is able to forecast competently the outcome of a disease or other medical condition and effectively communicate that information to the patient (...) or the patient’s proxy.In addition to influencing therapeutic decisions, an accurate and honest prognosis may serve to manage patients’ expectations and facilitate a frank.. (shrink)

This book aims to provide a solution to the semantic paradoxes. It argues for a unified solution to the paradoxes generated by our concepts of denotation, predicate extension, and truth. The solution makes two main claims. The first is that our semantic expressions 'denotes', 'extension' and 'true' are context-sensitive. The second, inspired by a brief, tantalizing remark of Godel's, is that these expressions are significant everywhere except for certain singularities, in analogy with division by zero. A formal theory of singularities (...) is presented and applied to a wide variety of versions of the definability paradoxes, Russell's paradox, and the Liar paradox. Keith Simmons argues that the singularity theory satisfies the following desiderata: it recognizes that the proper setting of the semantic paradoxes is natural language, not regimented formal languages; it minimizes any revision to our semantic concepts; it respects as far as possible Tarski's intuition that natural languages are universal; it responds adequately to the threat of revenge paradoxes; and it preserves classical logic and semantics. Simmons draws out the consequences of the singularity theory for deflationary views of our semantic concepts, and concludes that if we accept the singularity theory, we must reject deflationism. (shrink)

The unwinding that Cook, 767–774 2004) proposed is a simple but powerful method of generating new paradoxes from known ones. This paper extends Cook’s unwinding to a larger class of paradoxes and studies further the basic properties of the unwinding. The unwinding we study is a procedure, by which when inputting a Boolean modal net together with a definable digraph, we get a set of sentences in which we have a ‘counterpart’ for each sentence of the Boolean modal net and (...) each point of the digraph. What is more, whenever a sentence of the Boolean modal net says another sentence is necessary, then the counterpart of the first sentence at a point correspondingly says the counterparts of the second one at all accessible points of that point are all true. The output of the procedure is called ‘the unwinding of a Boolean modal net on a definable digraph’. We prove that the unwinding procedure preserves paradoxicality: a Boolean modal net is paradoxical on a definable digraph, iff the unwinding of it on this digraph is also paradoxical. Besides, the dependence digraph for the unwinding of a Boolean modal net on a definable digraph is proved to be isomorphic to the unwinding of the dependence digraph for the Boolean modal net on the previous definable digraph. So the unwinding of a Boolean modal net on a digraph is self-referential, iff the Boolean modal net is self-referential and the digraph is cyclic. Thus, on the one hand, the unwinding of any Boolean modal net on an acyclic digraph is non-self-referential. In particular, the unwinding of any Boolean modal net on \ is non-self-referential. On the other hand, if a Boolean modal net is paradoxical on a locally finite digraph, the unwinding of it on that digraph must be self-referential. Hence, starting from a Boolean modal paradox, the unwinding can output a non-self-referential paradox only if the digraph is not locally finite. (shrink)

In this paper we show how Dummett-Prawitz-style proof-theoretic semantics has to be modified in order to cope with paradoxical phenomena. It will turn out that one of its basic tenets has to be given up, namely the definition of the correctness of an inference as validity preservation. As a result, the notions of an argument being valid and of an argument being constituted by correct inference rules will no more coincide. The gap between the two notions is accounted for (...) by introducing the distinction between sense and denotation in the proof-theoretic-semantic setting. (shrink)

After the WHS inscription of the Historic Centre of Macau in 2005, the relationship between citizens of Macau and their heritage is not distanced. Most of these monuments remain functional for religious and social purposes and are actively engaged in public commercial activities such as the annual Macau Light Festival. Several historic houses have been transformed into either a permanent library or a museum where people can experience various events. With such frequent interaction, these monuments are more than just heritage (...) to locals; they are the venues where people’s daily lives are attached. However, this familiarity will cause a paradox in preservation since losing the distance might mean being unable to deliver the message of protection. It would be difficult to find a balance between preservation and reuse of heritage. This paper will use the Historic Centre of Macau as a case study to discuss the types of adaptive reuse in Macau and propose potential risks of these approaches. (shrink)

This paper propounds a systematic examination of the link between the Knower Paradox and provability interpretations of modal logic. The aim of the paper is threefold: to give a streamlined presentation of the Knower Paradox and related results; to clarify the notion of a syntactical treatment of modalities; finally, to discuss the kind of solution that modal provability logic provides to the Paradox. I discuss the respective strength of different versions of the Knower Paradox, both in (...) the framework of first-order arithmetic and in that of modal logic with fixed point operators. It is shown that the notion of a syntactical treatment of modalities is ambiguous between a self-referential treatment and a metalinguistic treatment of modalities, and that these two notions are independent. I survey and compare the provability interpretations of modality respectively given by Skyrms, B. (1978, The Journal of Philosophy 75: 368–387) Anderson, C.A. (1983, The Journal of Philosophy 80: 338–355) and Solovay, R. (1976, Israel Journal of Mathematics 25: 287–304). I examine how these interpretations enable us to bypass the limitations imposed by the Knower Paradox while preserving the laws of classical logic, each time by appeal to a distinct form of hierarchy. (shrink)

Both in dealing with the semantic paradoxes and in dealing with vagueness and indeterminacy, there is some temptation to weaken classical logic: in particular, to restrict the law of excluded middle. The reasons for doing this are somewhat different in the two cases. In the case of the semantic paradoxes, a weakening of classical logic (presumably involving a restriction of excluded middle) is required if we are to preserve the naive theory of truth without inconsistency. In the case of vagueness (...) and indeterminacy, there is no worry about inconsistency; but a central intuition is that we must reject the factual status of certain sentences, and it hard to see how we can do that while claiming that the law of excluded middle applies to those sentences. So despite the different routes, we have a similar conclusion in the two cases. (shrink)

In their work The German Ideology, the founders of Marxism assert that the prerequisite of post-capitalist (defined by them as communist) society is the universal development of human abilities and all social relations. But then on the same page, contrary to this statement, it is alleged that the abolition of private property is not only highly topical but it is also an imperative history-making task. In Manifesto of the Communist Party, Marx and Engels explain that economic crises recurrently shaking capitalist (...) society expose an apparent contradiction between the productive forces and the capitalist relations of production – therefore, these relations must be eliminated for the preservation of society. Nonetheless, the same treatise affirms that the bourgeoisie cannot exist without revolutionizing not only the productive forces but also the relations of production. But in this case it stands to reason to recognize that there is no conflict between productive forces and production relations, and, therefore, there is no crisis of the capitalist system, either. Paradoxes in the communist theory of Marxism stem not merely from erroneous conceptions but reveal the fact that Marxism as an ideology comes into conflict with its scientific social theory. Hence, these paradoxes disclose the relative independence of the social theory of Marxism from its ideological postulates. (shrink)

Résumé — Toute vérité est-elle connaissable en principe ? Une réponse négative à cette question suit d’un argument logique dû à F. Fitch, voisin du paradoxe de Moore, et connu sous le nom de paradoxe de la connaissabilité. Le paradoxe de Fitch constitue un obstacle à la conception antiréaliste de la vérité et, plus généralement, semble-t-il, à l’idéal positiviste d’après lequel toute vérité devrait nous être accessible en principe. Dans cet article, j’examine différentes tentatives pour préserver le principe selon lequel (...) toute vérité est connaissable, chacune inspirée d’une forme propre d’antiréalisme . Ces différentes approches sont comparées à une conception réaliste du positivisme, évoquée récemment par Burgess, qui postulerait seulement que toute vérité nécessaire est connaissable. Selon cette conception, certaines vérités contingentes sont effectivement inconnaissables, mais l’accessibilité de principe des vérités nécessaires demeure suffisante pour garantir la confiance positiviste dans la science.— Are all truths knowable ? A negative answer to this question follows from a logical argument related to the Moore Paradox and due to F. Fitch, also known as Fitch’s Knowability Paradox. Fitch’s paradox is widely considered to be an obstacle to the antirealist conception of truth, but even for a realist, it appears to threaten the positivist faith in the accessibility of all truths to our minds. In this paper, I first review different strategies to circumvent the paradox, each of them inspired by a different form of antirealism . I then compare these approaches to a realist version of positivism, discussed recently by Burgess, which would only postulate that all necessary truths are knowable. On that view, some contingent truths are indeed unknowable, but the idea that all necessary truths are within our reach remains sufficient to maintain the positivist faith in scientific knowledge. (shrink)

Many semantic theories become trivial when extended with a naïve validity predicate due to the validity paradoxes. The non-classical semantic theories are the ones that allegedly preserve the naïveté of the validity predicate while being capable of avoiding the validity paradoxes. This blocking, on the other hand, usually comes at a high cost. In this paper, we argue that the pre-theoretical notion of validity that the naïve validity predicate intends to capture is unattainable.

In their work The German Ideology the founders of Marxism assert that the prerequisite of post-capitalist (defined by them as communist) society is the universal development of human abilities and all social relations. But then on the same page, contrary to this statement, it is alleged that the abolition of private property is not only highly topical but it is also an imperative history-making task. In Manifesto of the Communist Party Marx and Engels explain that economic crises recurrently shaking the (...) capitalist society expose an apparent contradiction between the productive forces and the capitalist relations of production - therefore, these relations must be eliminated for the preservation of society. Nonetheless, the same treatise affirms that the bourgeoisie cannot exist without revolutionizing not only the productive forces but also the relations of production. But in this case it stands to reason to recognize that there is no conflict between the productive forces and the production relations, and, therefore, there is no crisis of the capitalist system, either. Paradoxes in the communist theory of Marxism stem not merely from erroneous conceptions but reveal the fact that Marxism as an ideology comes into conflict with its scientific social theory. Hence, these paradoxes disclose relative independence of the social theory of Marxism from its ideological postulates. (shrink)

In their work The German Ideology the founders of Marxism assert that the prerequisite of post-capitalist (defined by them as communist) society is the universal development of human abilities and all social relations. But then on the same page, contrary to this statement, it is alleged that the abolition of private property is not only highly topical but it is also an imperative history-making task. In Manifesto of the Communist Party Marx and Engels explain that economic crises recurrently shaking the (...) capitalist society expose an apparent contradiction between the productive forces and the capitalist relations of production - therefore, these relations must be eliminated for the preservation of society. Nonetheless, the same treatise affirms that the bourgeoisie cannot exist without revolutionizing not only the productive forces but also the relations of production. But in this case it stands to reason to recognize that there is no conflict between the productive forces and the production relations, and, therefore, there is no crisis of the capitalist system, either. Paradoxes in the communist theory of Marxism stem not merely from erroneous conceptions but reveal the fact that Marxism as an ideology comes into conflict with its scientific social theory. Hence, these paradoxes disclose relative independence of the social theory of Marxism from its ideological postulates. (shrink)

This paper introduces a new kind of fixed-point semantics, filling a gap within approaches to Liar-like paradoxes involving fixed-point models à la Kripke (1975). The four-valued models presented below, (i) unlike the three-valued, consistent fixed-point models defined in Kripke (1975), are able to differentiate between paradoxical and pathological-but-unparadoxical sentences, and (ii) unlike the four-valued, paraconsistent fixed-point models first studied in Visser (1984) and Woodruff (1984), preserve consistency and groundedness of truth.

Solutions to Russell’s paradox of propositions and to Kaplan’s paradox are proposed based on an extension of von Neumann’s method of avoiding paradox. It is shown that Russell’s ‘anti-Cantorian’ mappings can be preserved using this method, but Kaplan’s mapping cannot. In addition, several versions of the Epimenides paradox are discussed in light of von Neumann’s method.

The expansion of the older population suggests that there will be significant numbers in need of care and support in their own home environment. Yet, little is known about the kind of situations professionals are faced with and how they intervene in the living environment of older people. Qualitative data were collected over a period of 1.5 years from a multi-disciplinary community-based geriatric team in the Netherlands, and participant observations carried out. Forty-two cases discussed within the team meetings were analysed. (...) Results demonstrate that providing care to older people is a dynamic process and revolves around various paradoxes as experienced by professionals. This is illustrated by presenting three paradoxes that emerged within the data: respecting autonomy versus preserving safety; the care needs of the care recipients versus the capacity of their informal carers to cope; and holding a formal orientation versus a tailored orientation on tasks. Providing care in the home environment of older people requires from professionals a continuous anticipation of (un)expected evolutions in situations of their care recipients. In order to optimally support older people professionals need ‘professional discretion’. They must be supported to systematically reflect on and legitimize their intervention strategies. (shrink)

Hartry Field's revised logic for the theory of truth in his new book, Saving Truth from Paradox , seeking to preserve Tarski's T-scheme, does not admit a full theory of negation. In response, Crispin Wright proposed that the negation of a proposition is the proposition saying that some proposition inconsistent with the first is true. For this to work, we have to show that this proposition is entailed by any proposition incompatible with the first, that is, that it is (...) the weakest proposition incompatible with the proposition whose negation it should be. To show that his proposal gave a full intuitionist theory of negation, Wright appealed to two principles, about incompatibility and entailment, and using them Field formulated a paradox of validity (or more precisely, of inconsistency). The medieval mathematician, theologian and logician, Thomas Bradwardine, writing in the fourteenth century, proposed a solution to the paradoxes of truth which does not require any revision of logic. The key principle behind Bradwardine's solution is a pluralist doctrine of meaning, or signification, that propositions can mean more than they explicitly say. In particular, he proposed that signification is closed under entailment. In light of this, Bradwardine revised the truth-rules, in particular, refining the T-scheme, so that a proposition is true only if everything that it signifies obtains. Thereby, he was able to show that any proposition which signifies that it itself is false, also signifies that it is true, and consequently is false and not true. I show that Bradwardine's solution is also able to deal with Field's paradox and others of a similar nature. Hence Field's logical revisions are unnecessary to save truth from paradox. (shrink)

Recently, it has been observed that the usual type-theoretic restrictions are not enough to block certain paradoxes involving two or more predicates. In particular, when we have a self-referential language containing modal predicates, new paradoxes might appear even if there are type restrictions for the principles governing those predicates. In this article we consider two type-theoretic solutions to multimodal paradoxes. The first one adds types for each of the modal predicates. We argue that there are a number of problems with (...) most versions of this approach. The second one, which we favour, represents modal notions by using the truth predicate together with the corresponding modal operator. This way of doing things is not only useful because it avoids multimodal paradoxes, but also because it preserves the expressive capacity of the language. As an example of the sort of theory we have in mind, we provide a type-theoretic axiomatization that combines truth with necessity and knowledge. (shrink)

The classical interpretation of probability together with the principle of indifference is formulated in terms of probability measure spaces in which the probability is given by the Haar measure. A notion called labelling invariance is defined in the category of Haar probability spaces; it is shown that labelling invariance is violated, and Bertrand’s paradox is interpreted as the proof of violation of labelling invariance. It is shown that Bangu’s attempt to block the emergence of Bertrand’s paradox by requiring (...) the re-labelling of random events to preserve randomness cannot succeed non-trivially. A non-trivial strategy to preserve labelling invariance is identified, and it is argued that, under the interpretation of Bertrand’s paradox suggested in the paper, the paradox does not undermine either the principle of indifference or the classical interpretation and is in complete harmony with how mathematical probability theory is used in the sciences to model phenomena. It is shown in particular that violation of labelling invariance does not entail that labelling of random events affects the probabilities of random events. It also is argued, however, that the content of the principle of indifference cannot be specified in such a way that it can establish the classical interpretation of probability as descriptively accurate or predictively successful. 1 The Main Claims2 The Elementary Classical Interpretation of Probability3 The General Classical Interpretation of Probability in Terms of Haar Measures4 Labelling Invariance and Labelling Irrelevance5 General Bertrand’s Paradox6 Attempts to Save Labelling Invariance7 Comments on the Classical Interpretation of Probability. (shrink)

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be (...) preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

According to what I call the Merit Principle, roughly, works of art that attempt to elicit unmerited responses fail on their own terms and are thereby aesthetically flawed. A horror film, for instance, that attempts to elicit fear towards something that is not scary is to that extent aesthetically flawed. The Merit Principle is not only intuitive, it is also endorsed in some form by Aristotle, David Hume, and numerous contemporary figures. In this paper, I show how the principle leads (...) to a novel paradox when applied to an undertheorized class of artworks I call ‘seductive works’. These artworks necessarily invite an unmerited response in order to invite a (merited) repudiation of that response. Thus, according to the Merit Principle, they are necessarily aesthetically flawed, which is counter-intuitive. I consider a number of unsuccessful solutions to the paradox that aim to preserve the Merit Principle, before rejecting that principle as it stands. I discuss what is challenging about seductive artworks, before briefly defending a new principle that appeals to a general way that a work’s aesthetic value is conditioned by the constraints under which it operates. This principle not only resolves the paradox, but explains the competing intuitions that give rise to it. (shrink)

Critique of Alonzo Church's Translation Test. Church's test is based on a common misconception of the grammar of (so-called) quotations. His conclusion (that metalogical truths are actually contingent empirical truths) is a reductio of that conception. Chruch's argument begs the question by assuming that translation must preserve reference despite altering logical form of statements whose truth is explained by their form.

Our approach in this response is as folIows. In § I, we try to identify accurately Boatright’s central claims-both about Goodpaster’s original paper and about matters of substance independent of that paper. In § 2 and 3, we discuss the plausibility of those claims, first from a legal point of view and then from a moral point of view. Finally, in § 4, we defend the concept of paradox (and, in particular, the Stakeholder Paradox) as a limitation on (...) practical reason which is not necessarily to be lamented. In fact, we believe, some paradoxes are better preserved from rather than guided toward resolution. (shrink)

There are several three-valued logical systems that form a scattered landscape, even if all reasonable connectives in three-valued logics can be derived from a few of them. Most papers on this subject neglect the issue of the relevance of such logics in relation with the intended meaning of the third truth-value. Here, we focus on the case where the third truth-value means unknown, as suggested by Kleene. Under such an understanding, we show that any truth-qualified formula in a large range (...) of three-valued logics can be translated into KD as a modal formula of depth 1, with modalities in front of literals only, while preserving all tautologies and inference rules of the original three-valued logic. This simple information logic is a two-tiered classical propositional logic with simple semantics in terms of epistemic states understood as subsets of classical interpretations. We study in particular the translations of Kleene, Gödel, ᴌukasiewicz and Nelson logics. We show that Priest’s logic of paradox, closely connected to Kleene’s, can also be translated into our modal setting, simply by exchanging the modalities possible and necessary. Our work enables the precise expressive power of three-valued logics to be laid bare for the purpose of uncertainty management. (shrink)

First, I briefly recapitulate the main points of Rosen’s article, namely, that the word “Being” does not adequately signify the paradoxical unification of subject and object and that the Klein bottle can serve as a more appropriate sign -vehicle than the word. I then propose to apply his insight more widely; however, in order to do that, it is first necessary to identify infra- and exostructures of language, including culture, category structure, logic, metaphor, semantics, syntax, concept, and sign vehicles, that (...) preserve the status quo and keep subject and object disjunct. After analyzing those infra/exostructures, I engage a complementary process of integrating them, coagula, in order to spark ideas for innovating ways in which more of those facets of language can embrace paradox. (shrink)

The black hole information loss paradox is a catch-all term for a family of puzzles related to black hole evaporation. For almost 50 years, the quest to elucidate the implications of black hole evaporation has not only sustained momentum, but has also become increasingly populated with proposals that seem to generate more questions than they purport to answer. Scholars often neglect to acknowledge ongoing discussions within black hole thermodynamics and statistical mechanics when analyzing the paradox, including the interpretation (...) of Bekenstein-Hawking entropy, which is far from settled. To remedy the dialectical gridlock, I have formulated an overarching, unified framework, which I call ``Black Hole Paradoxes'', that integrates the debates and taxonomizes the relevant `camps' or philosophical positions. -/- I demonstrate that black hole evaporation within Hawking's semi-classical framework insinuates how late-time Hawking radiation is an entangled global system, a contradiction in terms. The relevant forms of information loss are associated with a decrease in maximal Boltzmann entropy and an increase in global von Neumann entropy respectively, which engender what I've branded the ``paradox of phantom entanglement''. Prospective solutions are then tasked with demonstrating how late-time Hawking radiation is either exclusively an entangled subsystem, in which a black hole remnant lingers as an information safehouse, or exclusively an unentangled global system, in which information is evacuated to the exterior. -/- The disagreement between safehouse and evacuation solutions boils down to the statistical interpretation of thermodynamic black hole entropy, i.e., Bekenstein-Hawking entropy. Safehouse solutions attribute Bekenstein-Hawking entropy to a minority of black hole degrees of freedom, those that are associated with the horizon. Evacuation solutions, in contrast, attribute Bekenstein-Hawking entropy to all black hole degrees of freedom. I argue that the interpretation of Bekenstein-Hawking entropy is the litmus test to vet the overpopulated proposal space. So long as any proposal rejecting Hawking's original calculation independently derives black hole evaporation, globally conserves degrees of freedom and entanglement, preserves a version of semi-classical gravity at sub-Planckian scales, and describes black hole thermodynamics in statistical terms, then it counts as a genuine solution to the paradox. (shrink)

The classical interpretation of probability together with the principle of indifference is formulated in terms of probability measure spaces in which the probability is given by the Haar measure. A notion called labelling invariance is defined in the category of Haar probability spaces; it is shown that labelling invariance is violated, and Bertrand’s paradox is interpreted as the proof of violation of labelling invariance. It is shown that Bangu’s attempt to block the emergence of Bertrand’s paradox by requiring (...) the re-labelling of random events to preserve randomness cannot succeed non-trivially. A non-trivial strategy to preserve labelling invariance is identified, and it is argued that, under the interpretation of Bertrand’s paradox suggested in the paper, the paradox does not undermine either the principle of indifference or the classical interpretation and is in complete harmony with how mathematical probability theory is used in the sciences to model phenomena. It is shown in particular that violation of labelling invariance does not entail that labelling of random events affects the probabilities of random events. It also is argued, however, that the content of the principle of indifference cannot be specified in such a way that it can establish the classical interpretation of probability as descriptively accurate or predictively successful. (shrink)

As a Sith, Darth Plagueis was a devotee of the Dark Side of the Force, which grants enormous powers to those brave enough to become living conduits for passions like hatred and anger. Such a person would be the exact opposite of what Plato would call “wise.” For Plato, wisdom is a virtue that is inextricably bound to humility and justice. The paradox presented in this chapter opens horizons for reflection on the themes of ethics, wisdom, and freedom. It (...) also raises the possibility that Plato's ideal of wisdom is too narrow, and that a different philosophy of life might better explain the existence of a wise Dark Lord of the Sith. Plagueis focused on the instinct of life by seeking to unlock the secret of an eternal existence. Friedrich Nietzsche offers a liberating wisdom in a verse worthy of preservation within even the rarest of Sith holocrons. (shrink)

We defend a set of acceptance rules that avoids the lottery paradox, that is closed under classical entailment, and that accepts uncertain propositions without ad hoc restrictions. We show that the rules we recommend provide a semantics that validates exactly Adams’ conditional logic and are exactly the rules that preserve a natural, logical structure over probabilistic credal states that we call probalogic. To motivate probalogic, we first expand classical logic to geo-logic, which fills the entire unit cube, and then (...) we project the upper surfaces of the geo-logical cube onto the plane of probabilistic credal states by means of standard, linear perspective, which may be interpreted as an extension of the classical principle of indifference. Finally, we apply the geometrical/logical methods developed in the paper to prove a series of trivialization theorems against question-invariance as a constraint on acceptance rules and against rational monotonicity as an axiom of conditional logic in situations of uncertainty. (shrink)

The paper explores Burke’s twofold solution to the paradox of negative emotions. His Philosophical Enquiry (1757/59) employs two models that stand on different anthropological principles: the Exercise Argument borrowed from authors like the Abbé Du Bos, guided by the principle of self-preservation, and the Sympathy Argument, propageted by notable men of lettres such as Lord Kames, ruled by the principle of sociability. Burke interlocks these two arguments through a teleologically-ordered physiology, in which the natural laws of the human (...) body and mind, secretly working in the depth of the nerve fibres, ensure both self-preservation and sociability. Utilizing both efficient and final causes throughout his Enquiry, Burke argues that the experiences of pain and terror – under certain conditions – are made agreeable (delight) by providence,so that the physiological mechanisms underlying these experiences could ensure the health and strenuousness of the nerve fibres amidst the corrupting pleasures of commercial society (Exercise Argument). Furthermore, due to the ambiguous character of this delight annexed to such experiences, they also function as exercises for our social passions (Sympathy Argument). Te 'egoistic' anthropological drive to remove the visceral uneasiness that dominates these experiences facilitates moral action when it is needed the most: when others in pain need our help. In accordance with the anthropocentric providentialism of the moderate Enlightenment, it is the design of the human frame that ensures the activities essential to our health (self-preservation) and moral conduct (sociability), a design that not only guarantees that pleasure, if exclusive and excessive, is 'inconvenient', and pain, if mitigated and harmless, is aesthetically agreeable, but also that our 'egoistic' drive to self-preservation ultimately improves sociability. (shrink)