In ‘The Unsatisfied Paradox’ (The Reasoner 6(12), p.184-5), Peter Eldridge-Smith has argued that no unique solution for the logical paradoxes is likely to exist in the presence of the following two kinds of paradox: 1. The Unsatisfied kind. 2. The Satisfiable kind. We argue that both kinds of paradoxes typically contain some kind of self-reference used for an attempt of self-diagonalization, and that consequently they may solvable in the same way, namely, by the acknowledgement that no (...) intensional object is available to itself for reference or quantification. (shrink)

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

Stephen Yablo [23,24] introduces a new informal paradox, constituted by an infinite list of semi-formalized sentences. It has been shown that, formalized in a first-order language, Yablo’s piece of reasoning is invalid, for it is impossible to derive falsum from the sequence, due mainly to the Compactness Theorem. This result casts doubts on the paradoxical character of the list of sentences. After identifying two usual senses in which an expression or set of expressions is said to be paradoxical, since (...) second-order languages are not compact, I study the paradoxicality of Yablo’s list within these languages. While non-paradoxical in the first sense, the second-order version of the list is a paradox in our second sense. I conclude that this suffices for regarding Yablo’s original list as paradoxical and his informal argument as valid. (shrink)

There are two paradoxes of satisfaction, and they are of different kinds. The classic satisfaction paradox is a version of Grelling’s: does ‘does not satisfy itself’ satisfy itself? The Unsatisfied paradox finds a predicate, P, such that Px if and only if x does not satisfy that predicate: paradox results for any x. The two are intuitively different as their predicates have different paradoxical extensions. Analysis reduces each paradoxical argument to differing rule sets, wherein their respective (...) pathologies lie. Having different pathologies, they are paradoxes of different kinds. Furthermore, each of these satisfaction paradoxes has an analogue with the same pathology in set theory. Therefore, these analogues are respectively of the same two kinds. This level of abstraction is significant in that it tracks two related but different pathologies. Thus, not all paradoxes of semantics and set theory share the same pathology: there are at least two kinds of paradox cutting across the semantic and set-theoretic distinction. (shrink)

We describe the earliest occurrences of the Liar Paradox in the Arabic tradition. e early Mutakallimūn claim the Liar Sentence is both true and false; they also associate the Liar with problems concerning plural subjects, which is somewhat puzzling. Abharī (1200-1265) ascribes an unsatisfiable truth condition to the Liar Sentence—as he puts it, its being true is the conjunction of its being true and false—and so concludes that the sentence is not true. Tūsī (1201-1274) argues that self-referential sentences, like (...) the Liar, are not truth-apt, and defends this claim by appealing to a correspondence theory of truth. Translations of the texts are provided as an appendix. (shrink)

Substructural approaches to paradoxes have attracted much attention from the philosophical community in the last decade. In this paper we focus on two substructural logics, named ST and TS, along with two structural cousins, LP and K3. It is well known that LP and K3 are duals in the sense that an inference is valid in one logic just in case the contrapositive is valid in the other logic. As a consequence of this duality, theories based on either logic are (...) tightly connected since many of the arguments for and objections against one theory reappear in the other theory in dual form. The target of the paper is making explicit in exactly what way, if any, ST and TS are dual to one another. The connection will allow us to gain a more fine-grained understanding of these logics and of the theories based on them. In particular, we will obtain new insights on two questions concerning ST which are being intensively discussed in the current literature: whether ST preserves classical logic and whether it is LP in sheep’s clothing. Explaining in what way ST and TS are duals requires comparing these logics at a metainferential level. We provide to this end a uniform proof theory to decide on valid metainferences for each of the four logics. This proof procedure allows us to show in a very simple way how different properties of inferences (unsatisfiability, supersatisfiability and antivalidity) that behave in very different ways for each logic can be captured in terms of the validity of a metainference. (shrink)

Epistemic contextualism was originally motivated and supported by the response it provides to skeptical paradox. Although there has been much discussion of the contextualist response to skeptical paradox, not much attention has been paid to the argument from skepticism for contextualism. Contextualists argue that contextualism accounts for the plausibility and apparent inconsistency of a set of paradoxical claims better than any classical invariantist theory. In this paper I focus on and carefully examine the argument from skepticism for contextualism. (...) I argue not only that the prima facie advantage of contextualism is specious, but also that contextualism is in fact at a competitive disadvantage with respect to two classical invariantist views. I also argue that contextualism takes an arbitrary and unsatisfying strategy in its response to skepticism. That contextualism is alone in taking this arbitrary strategy marks a second competitive disadvantage for it. In addition, I argue that the contextualist response to skeptical paradox regenerates a skeptical paradox which contextualism is powerless to solve. Consequently, the argument from skepticism for contextualism fails. Furthermore, this feature of the contextualist response to skeptical paradox completely undermines the motivation and support for contextualism deriving from its treatment of skeptical paradox. I conclude that the argument from skepticism for contextualism fails, and that the contextualist response to skeptical paradox fails to motivate contextualism, pending the success of another argument for the contextualist thesis. (shrink)

There is even a paradox in the name of philosophy. Philosophy would rather love wisdom than have it. This is what exasperates those who interrogate it for answers and not questions. But this love must not be unhappy: being satisfied with unsatisfied love means loving love and at bottom feeling contempt for its object. It changes the object, the beloved wisdom is not what one thought one had. Those who say they have wisdom do not doubt, what they (...) have is dogma, but those who doubt whether they have it may gain another wisdom, knowledge. Wisdom seems to change according to its place: it is false wisdom at the beginning of the cognitive process, but may be true in one or other of its relative terms. Knowledge is a wisdom that one works towards and to gain it one must deny having it, know that one does not know. Thus, in order to grasp what philosophy is, we must ask what a knowledge of not-knowing can be - a Socratic question - and what kind of cognitive process it is that can start with what is false to reach what is true; and this is a question to which the answers might be Platonic or Aristotelian. From Plato to Aristotle the ousia, what truly is, which is translated as essence in Plato, and as substance in Aristotle, changes places in this process. And if every philosophy decides to see true being as the thought essence of things or else as their particular substance, it would be a good idea to formalize the difference - gnoseological, ontological, political - between the two philosophers. It is a tricky project because it will have to contravene the rules of interpretation to produce this formal reconstruction. (shrink)

In this paper we provide an analysis of dynamic dispositionalism. It is usually claimed that dispositions are dynamic properties. However, there is no exhaustive analysis of dynamism in the dispositional literature. We will argue that the dynamic character of dispositions can be analyzed in terms of three features: (i) temporal extension, (ii) necessary change and (iii) future orientedness. Roughly, we will defend the idea that dynamism entails a continuous view of time, to be analyzed in mathematical terms, where intervals are (...) its constitutive elements, whose duration lasts as much as a certain change takes to occur (in support of i). Such changes are the necessary components for the flowing of time because we think there cannot be time without change, (thus supporting ii) and that the forward-looking feature of properties is what determines the direction of time (as per iii). The paper is structured in 5 sections. In the first section, we set the problem: we outline and criticize some dispositional theories that defend an unsatisfying notion of dynamism. In the second, third and fourth sections we defend each desideratum for a disposition to be dynamic. Finally, we draw some conclusions and consider potential future research. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:R. D. Ackerman BELIEVING IN A FICTION: WALLACE STEVENS AT THE LIMITS OF PHENOMENOLOGY The "ring of men" of "Sunday Morning" will chant their "devotion to the sun, / Not as a god, but as a god might be, / Naked among them, like a savage source" (CP, pp. 69-70).' Solar nakedness is deferred even as it is named. The problem for belief is the question of appearance and (...) representation. Things appear as and like.... The phenomenological return to things is also a turn to fiction, as Husserl understood: "If anyone loves a paradox, he can really say... that the element which makes up the life of phenomenology... is fiction. ' " The sun is divine, and it is not; it is both naked and clothed, savage and civilized, source (or end) and means. But such paradox is ultimately unsatisfying, and as we will see with Stevens, the need for belief—for an image or idea of totality—forces the issue of fiction and reality. The Stevens we will have in view is not the Stevens—as if there were such a creature. Our Stevens is the one most persuaded by promises such as those of phenomenology, the one most concerned with decreation (reduction) and fresh beginnings, with discovery and recognition, with imagination, the body, and the earth. This is the Stevens for whom the barrier of language presages at last not absence and difference but fictive recovery of presence and identity, the one for whom poetry represents a way of belief beyond mysticism even as it bodes mythic proximity. Finally, this is the Stevens who predominates throughout the prose (as well as in much of the poetry), who tries mightily to secure a belief while disencumbering himself of metaphysics—but alas, I think, with small success. Although Stevens's association of the problem of belief with the idea of fiction occurs in early poems such as "A High-Toned Old Christian 79 80Philosophy and Literature Woman" and "To the One of Fictive Music," his most intensive involvement with fiction as belief dates from the early 1940s and spans the period of his major essays and his last four volumes of poems. He recounts, for instance, a 1942 conversation with a student: "I said that I thought that we had reached a point at which we could no longer really believe in anything unless we recognized that it was a fiction. The student said that that was an impossibility, that there was no such thing as believing in something that one knew was not true. It is obvious, however, that we are doing that all the time" (L, p. 430). What does it mean to believe in a fiction? That is my main subject here, as we seek out the limits of the phenomenological Stevens. His letters of this period are preoccupied with the problem of fictive belief: "If one no longer believes in God (as truth), it is not possible merely to disbelieve; it becomes necessary to believe in something else.... A good deal of my poetry recently has concerned an identity for that thing.... In one of the short poems that I have just sent to the harvard advocate, I say that one's final belief must be in a fiction. I think that the history of belief will show that it has always been in a fiction" (L, p. 370). The poem referred to, "Asides on the Oboe," begins: The prologues are over. It is a question now, Of final belief. So, say that final belief Must be in a fiction. It is time to choose. (CP, p. 250) Acknowledging that "in the long run, poetry would be the supreme fiction" (L, pp. 430-31), Stevens nonetheless singles out the nominative function of poetry as the essence of its claim to supremacy: "Poetry means not the language of poetry but the thing itself.... The subject matter is what comes to mind when one says of the month of August... 'Thou art not August, unless I make thee so'" (L, p. 377). The quoted line (also from "Asides") underscores the paradox that for Stevens the essence of fiction (the nontrue) is its capacity to nominate the true or the real. This... (shrink)

Benardete presents a version of Zeno's dichotomy in which an infinite sequence of gods each intends to raise a barrier iff a traveller reaches the position where they intend to raise their barrier. In this paper, I demonstrate the abstract form of the Benardete Dichotomy. I show that the diagnosis based on that form can do philosophical work not done by earlier papers rejecting Priest's version of the Benardete Dichotomy, and that the diagnosis extends to a paradox not normally (...) classified as a dichotomy. I show how the form is exploited to generate paradox. Introduction The form of the Benardete dichotomy 2.1 The unsatisfiable pair diagnosis Applying the unsatisfiable pair diagnosis 3.1 Perez Laraudogoitia 3.2 Hawthorne 3.3 Angel 3.4 Yablo and Sorensen Exploiting the form. (shrink)

The aim of this paper is to show that it’s not a good idea to have a theory of truth that is consistent but ω-inconsistent. In order to bring out this point, it is useful to consider a particular case: Yablo’s Paradox. In theories of truth without standard models, the introduction of the truth-predicate to a first order theory does not maintain the standard ontology. Firstly, I exhibit some conceptual problems that follow from so introducing it. Secondly, I show (...) that in second order theories with standard semantics the same procedure yields a theory that doesn’t have models. So, while having an ω- inconsistent theory is a bad thing, having an unsatisfiable theory of truth is actually worse. This casts doubts on whether the predicate in question is, after all, a truthpredicate for that language. Finally, I present some alternatives to prove an inconsistency adding plausible principles to certain theories of truth. (shrink)

This paper treats entailment as a subrelation of classical consequence and deducibility. Working with a Gentzen set-sequent system, we define an entailment as a substitution instance of a valid sequent all of whose premisses and conclusions are necessary for its classical validity. We also define a sequent Proof as one in which there are no applications of cut or dilution. The main result is that the entailments are exactly the Provable sequents. There are several important corollaries. Every unsatisfiable set is (...) Provably inconsistent. Every logical consequence of a satisfiable set is Provable therefrom. Thus our system is adequate for ordinary mathematical practice. Moreover, transitivity of Proof fails upon accumulation of Proofs only when the newly combined premisses are inconsistent anyway, or the conclusion is a logical truth. In either case Proofs that show this can be effectively determined from the Proofs given. Thus transitivity fails where it least matters — arguably, where it ought to fail! We show also that entailments hold by virtue of logical form insufficient either to render the premisses inconsistent or to render the conclusion logically true. The Lewis paradoxes are not Provable. Our system is distinct from Anderson and Belnap''s system of first degree entailments, and Johansson''s minimal logic. Although the Curry set paradox is still Provable within naive set theory, our system offers the prospect of a more sensitive paraconsistent reconstruction of mathematics. It may also find applications within the logic of knowledge and belief. (shrink)

Perhaps the most dominant anti‐sceptical proposal in recent literature –advanced by such figures as Stewart Cohen, Keith DeRose and David Lewis –is the contextualist response to radical scepticism. Central to the contextualist thesis is the claim that, unlike other non‐contextualist anti‐sceptical theories, contextualism offers a dissolution of the sceptical paradox that respects our common sense epistemological intuitions. Taking DeRose's view as representative of the contextualist position, it is argued that instead of offering us an intuitive response to scepticism, contextualism (...) is actually committed to a revisionist stance as regards our everyday usage of epistemic terms. In particular, it is argued that the thesis fails to present a satisfactory explication of a notion –that of‘epistemic descent’– that is pivotal to the anti‐sceptical import of the account. On the positive side, however, it is claimed that although the contextualist response to scepticism is ultimately unsatisfying, DeRose's theory does contain within it the framework for a completely different ‐ and far more persuasive ‐ account of the‘phenomenology’of scepticism which runs along non‐contextualist lines. (shrink)

Perhaps the most dominant anti‐sceptical proposal in recent literature –advanced by such figures as Stewart Cohen, Keith DeRose and David Lewis –is the contextualist response to radical scepticism. Central to the contextualist thesis is the claim that, unlike other non‐contextualist anti‐sceptical theories, contextualism offers a dissolution of the sceptical paradox that respects our common sense epistemological intuitions. Taking DeRose's view as representative of the contextualist position, it is argued that instead of offering us an intuitive response to scepticism, contextualism (...) is actually committed to a revisionist stance as regards our everyday usage of epistemic terms. In particular, it is argued that the thesis fails to present a satisfactory explication of a notion –that of‘epistemic descent’– that is pivotal to the anti‐sceptical import of the account. On the positive side, however, it is claimed that although the contextualist response to scepticism is ultimately unsatisfying, DeRose's theory does contain within it the framework for a completely different ‐ and far more persuasive ‐ account of the‘phenomenology’of scepticism which runs along non‐contextualist lines. (shrink)

What is philosophy and literature? It is (or at least ought to be) a truth universally acknowledged that this is a question to which there are no easy answers. Does philosophy and literature constitute a subdiscipline of philosophy, as logic, epistemology, metaphysics, ethics, philosophy of science, and even philosophy of religion do? Alternatively: ought it constitute a subdiscipline of philosophy if it does not already do so? What is the nature of the relationship between philosophy and literature and literary and (...) philosophical studies? Where might its limits be located? These are some of the important questions that intellectuals who have worked in this field from its inception have sought to address. The answers yielded thus far by their combined efforts, however, have been unsatisfying. The purpose of this essay therefore is to attempt to shed further light on the nature of the field of philosophy and literature and its limits, with the accompanying hope that, as philosophy and literature gains in coherence, rigor, and organization, its credibility as a field will be raised in some modest measure among my philosophical colleagues. (shrink)

Fascinating illustrations contribute to this illuminating and award-winning account of how and why philosophy emerged and make it a must-read for any inquisitive thinker unsatisfied with prevailing assumptions on this timely and highly relevant subject._ By taking the reader back to the Greek colonies of Southern Italy more than 500 years B.C., the author, with unparalleled insight, tells the story of the Pythagorean quest for otherwordly konwledge -- a tale of cultism, political conspiracies, and bloody uprisings that eventually culminate (...) in tragic failure. The emerging hero is Parmenides, who introduces for the first time a technique for testing the truth of a statement that was not based on physical evidence or mortal sense-perception, but instead relied exclusively on the faculty we humans share with the gods: the ability to reason. "Figures from Anaximander to Zeno, the ruins where they lived and thought, and the paradoxes and thought-experiments they proposed are depicted among the [many] well-chosen color illustrations. The results read like an introductory textbook, but one that has been lovingly written, lavishly laid-out and crisply printed-- making it engaging enough to draw in readers to whom it has not been assigned." - _ Publishers Weekly___ "_To Think Like God_ is a highly ambitious book... Hermann's approach deserves to be taken seriously as an alternative to standard interpretations." - _ Richard D. McKirahan, Jr., Edwin Clarence Norton Professor of Classics and Professor of Philosophy, Pomona College___ "Arnold Hermann brings fresh life into the specialists' debates... a blow of wind that dissipates much fog." - _ Walter Burkert, Professor Emeritus of Classical Philology, University of Zurich___ ARNOLD HERMANN_ is pursuing independent research on the origins of philosophy and methods of thinking. He specialices on subjects connected with Parmenides and Plato's _Parmenides._. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Aquinas on the Twofold Human Good: Reason and Human Happiness in Aquinas's Moral ScienceColleen McCluskeyDenis J. M. Bradley. Aquinas on the Twofold Human Good: Reason and Human Happiness in Aquinas's Moral Science. Washington, D. C.: The Catholic University of America Press, 1997. Pp. vii-xiv + 610.In this book, Bradley examines whether one can construct an autonomous Thomistic philosophical ethics from Thomas Aquinas's theologically flavored moral writings. In order (...) to answer this question, Bradley provides a comprehensive analysis not only of Aquinas's moral psychology, but also of the Aristotelian doctrines which to a certain extent provide its foundation. Bradley begins with a look at Aristotle's concept of a science, his notion of practical reasoning, and his accounts of deliberation, choice, and the ultimate end for human beings. Bradley also discusses Aquinas's interpretations of those theories and the extent to which Aquinas's views follow and diverge from Aristotle's writings. The metaphysical principles grounding the notions of a science, of being, and of goodness and their connections to Aquinas's ethics are noted and explained. In his discussion of the moral theory itself, Bradley frames his presentation around Aquinas's theory of action (especially its volitional aspects and the workings of practical reason) and the role of natural law, although the virtues are not neglected. Bradley's treatment throughout the book is meticulous (although in my view somewhat repetitive).The most interesting aspect of this book is Bradley's discussion of the paradoxical nature of Aquinas's ethical theory. As he notes, Aquinas's theory has a teleological orientation; his system is structured around the idea that human beings have a particular ultimate end. Aquinas argues that due to their nature, all human beings desire to attain their ultimate end. As is also well-known, Aquinas specifies that this end is the beatific vision and that only the vision of the divine essence is able to satisfy completely [End Page 118] all human desires. However, this end is not only inaccessible to human beings in this life, but one that they are unable to obtain without the aid of God's grace. But it follows from this that human beings have a natural desire that cannot be satisfied naturally, a paradoxical position, especially for an Aristotelian. For according to Bradley, Aquinas argues that although one can establish through philosophical arguments that human beings have a natural desire which only God can satisfy, no philosophical argument can establish that God, in fact, ever satisfies this desire. That God chooses to do so is a matter of faith and revelation. Thus, as far as philosophy is concerned, human beings may have been structured with an unsatisfiable desire. This violates an important Aristotelian notion about teleology, the idea that there can be no futile natural desire. The inability to satisfy a natural desire for an ultimate end renders a teleologically based system incoherent. It follows that. given his characterization of the ultimate end, a characterization that Aquinas thinks he can establish on philosophical grounds alone, his purely theological commitments are integral and necessary components of his moral system. Thus, Bradley's answer to the question he raises in the book is no, one cannot construct an autonomous Thomistic philosophical ethics from Aquinas's moral writings.In the process of arriving at this conclusion, Bradley critiques the work of two philosophers, Jacques Maritain and Santiago M. Ramirez, both of whom argue that a purely philosophical ethics can be built out of Aquinas's writings, although both maintain that Aquinas himself did not do so. Maritain and Ramirez take Thomistic philosophical ethics to retain basic Christian beliefs but to be established on the basis of natural reasoning processes alone, independently of revelation. Bradley raises a number of objections against their characterizations of Thomistic ethics, among them the worry that, ultimately, such philosophical systems are not truly independent of a theological ethics (pace Maritain) and the charge that Aquinas's characterizations of the supernatural nature of the human ultimate end is not taken seriously (Ramirez).Space permits only a cursory examination of some general concerns over Bradley's position. Bradley argues that what is fundamental to... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:"And Her Substance Would Be Mine":Envy, Hate, and Ontological Evacuation in Josephine Hart's SinA. Samuel Kimball (bio)Envy involuntarily testifies to a lack of being that puts the envious to shame.—René Girard, A Theatre of EnvySin, offspring of snt-ya, "that which is," in Germanic sun(d)jo, "it is true," "the sin is real," and ultimately from es-, "to be," source of am, is, sooth, soothe; of the Sanskrit roots sat- and (...) sant-, "existing, true, virtuous"; of the Latin, esse, "to be," from which is derived such words as essence, presence, absence, and represent; of the Greek roots einei, "to be" as well as ont-, "being," which provides the name for the philosophical study of being itself, ontology.—Adapted from The American Heritage Dictionaryof Indo-European RootsI: Ruth Garton's Envious NarrationThe etymology of sin suggests that the evil it names reveals something fundamental about being, something ruinous and yet unavoidable, something that endangers or even nullifies being and yet is inseparable from it, even essential to it. In Josephine Hart's second novel, Sin, this something is a species of Girardian desire in the form of a monstrous envy, which impels the first-person narrator, Ruth Garton, to a lifelong hatred of her cousin and stepsister, Elizabeth. The focus of Ruth's confessional narrative, envy, drives Ruth to take covert and increasingly virulent revenge against her quasi-sibling in a self-deluding attempt to appropriate not only the objects of Elizabeth's desire but ultimately Elizabeth's desire itself and the apparent ontological fullness that Ruth attributes to it. Over the course of her life, then, Ruth loses the promise [End Page 239] of her name in her ruthless pursuit of her enemy. As she becomes increasingly frustrated in her efforts to destroy her sister's life, Ruth finally turns her hatred of her nemesis against herself as well as the readers to whom she appeals for understanding. If envy heightens Ruth's consciousness to the point where she can perceive that her desire signals her ontological emptiness, nevertheless, it so captures her, so dominates her emotional and cognitive life, that she is unable to find a way to affirm her own—or anyone else's—being in the world. The result is a spectacular narrative record of the cost of recognizing but being unable to resist the mimeticism of desire.1II. The Girardian Dynamic of SinAs Girard has demonstrated, one of the most difficult existential challenges is to understand that desire is mimetically mediated. The result is that we come into our desire only through someone else's and always want something more and other than we think we want. Behind every move to possess a particular object is a largely unrecognized and in principle unsatisfiable desire for absolute satisfaction in the form of ontological completeness, self-sufficiency, intactness. On the one hand, Girard writes, "by the example of his own desire…the model conveys to the subject the supreme desirability of the object" (1977, 146). On the other hand, since to desire mimetically means to come into desire through the other rather than through oneself, by this same example the model conveys to the subject the contingency, the dependency, the secondariness, hence the emptiness of the subject's desire, even the subject's lack of desire, the lack that, paradoxically, constitutes his or her desire. Therefore, to be subjected to the other's want ultimately has the effect of signaling the seeming priority, fullness, and self-origination of this other person's desire. For this reason Girard asserts that "man... desires being, something he himself lacks and which some other person seems to possess" (146).If at first the other person models the desire that the subject lacks, it is in the logic of mimesis that the other will become a rival and, unless the rivalry is somehow interrupted or abrogated, inevitably an enemy to be destroyed. The subject will become locked into a potentially deadly game of trying to obtain the same object that the model desires, so as to experience the satisfactions—ultimately, the sense of being—that the object in question seems to provide... (shrink)

Perhaps the most dominant anti-sceptical proposal in the recent literatureadvanced by such figures as Stewart Cohen, Keith DeRose and David Lewisis the contextualist response to radical scepticism. Central to the contextualist thesis is the claim that, unlike other non-contextualist anti-sceptical theories, contextualism offers a dissolution of the sceptical paradox that respects our common sense epistemological intuitions. Taking DeRose’s view as representative of the contextualist position, it is argued that instead of offering us an intuitive response to scepticism, contextualism is (...) actually committed to a revisionist stance as regards our everyday usage of epistemic terms. In particular, it is argued that the thesis fails to present a satisfactory explication of a notionthat of ‘epistemic descent’that is pivotal to the anti-sceptical import of the account. On the positive side, however, it is claimed that although the contextualist response to scepticism is ultimately unsatisfying, DeRose’s theory does contain within it the framework for a completely differentand far more persuasiveaccount of the ‘phenomenology’ of scepticism which runs along noncontextualist lines. (shrink)

Emotional responses to fiction are part of our experience with art and media. Some of these responses (“fictional emotions”) seem to be directed towards fictional entities—entities that we believe do not exist. Some philosophers argue that fictional emotions differ in nature from other emotional responses. (cf. Walton in J Philos 75(1):5–27, 1978, Mimesis as make-believe, Harvard University Press, Cambridge, 1990, Walton, in: Hjort, Laver (ed.) Emotion and the arts, Oxford University, New York, 1997; Currie in The nature of fiction, Cambridge (...) University Press, Cambridge, 1990; Stecker in Br J Aesthet 51(3):295–308, 2011) The claim is supposed to be supported among others by ‘the argument from action.’ In contrast to genuine emotions, proponents of this argument claim, fictional emotions do not motivate their bearers to act. (cf. Yanal in Paradoxes of emotion and fiction, Pennsylvania State University Press, University Park, 1999; Lamarque in Br J Aesthet 21(4):291–304, 1981; Carroll in The philosophy of horror: or, paradoxes of the heart, Routledge, London, 1990; Currie 1990; Walton 1978, 1990; Suits in Pac Philos Q 87(3):369–386, 2006; Friend, in: Kind (ed.) The Routledge handbook of philosophy of imagination, Routledge, New York, 2016) This claim grounds in what may appear to be an obvious fact: that viewers and readers of are not led to act by their fictional emotions. It is certainly true that viewers and readers of fiction do not form intentions to perform actions directed towards fictional entities. In contrast to the proponents of the argument from action, I will argue that the lack of any such intentions can be explained only with reference to intending’s doxastic conditions, conditions that are unsatisfied in the fictional scenario. Decisively, this explanation does not refer to the motivational force of the agent’s emotions; indeed, it doesn’t refer to emotions at all. Thus, the lack of intentions to perform actions directed towards fictional objects provides no support for the claim that fictional emotions are no genuine emotions. (shrink)

There are at least three reasons why present circumstances favor a renewal of dialogue on Hegel’s political philosophy. First, it seems increasingly clear that the collapse of the “big left” over the past two decades has produced a crisis of imagination in political theory and practice. Debate in North America particularly has polarized—on one side the splintering and perhaps ultimately cynical forces of postmodernism, on the other, the triumphal indifference of corporate capitalism. Since most thoughtful people reject both alternatives, the (...) post-Cold War years, their promise and opportunity notwithstanding, have been marked by an ethos of political disenfranchisement and the growing desire for other options. Secondly, the recent attacks on American targets and the subsequent mobilization of military/propagandist might in the war on terrorism have made evident the necessity of rethinking geopolitical paradigms. In the past year especially, the consequences of the West’s essentially colonial foreign policy in the Middle East, Africa, the Pacific Rim and elsewhere have become frighteningly evident. Instead of surveying unsatisfying but comparatively harmless theoretical options we have seen concrete political activity around the globe becoming reduced to the dilemma of terror or armed intervention. This reduction, in turn, has exposed mere languishing in desire for other options as a species of moral cowardice. The situation now demands a positive counterproposal. Finally, and almost paradoxically, recognition of the fact that Western institutions stand under threat, that besieged by forces within and without they could fail, has produced across the political spectrum a new determination to defend them. As if danger itself were a reminder that the structures we have been descrying from the left or the right as politically compromised are nevertheless essential to the accommodation of human freedom. I can think of no time since the end of the Second World War more ripe for reflective engagement of the possibility of an autonomy won through and vouchsafed in an authentically rational state and its institutions. (shrink)

There are at least three reasons why present circumstances favor a renewal of dialogue on Hegel’s political philosophy. First, it seems increasingly clear that the collapse of the “big left” over the past two decades has produced a crisis of imagination in political theory and practice. Debate in North America particularly has polarized—on one side the splintering and perhaps ultimately cynical forces of postmodernism, on the other, the triumphal indifference of corporate capitalism. Since most thoughtful people reject both alternatives, the (...) post-Cold War years, their promise and opportunity notwithstanding, have been marked by an ethos of political disenfranchisement and the growing desire for other options. Secondly, the recent attacks on American targets and the subsequent mobilization of military/propagandist might in the war on terrorism have made evident the necessity of rethinking geopolitical paradigms. In the past year especially, the consequences of the West’s essentially colonial foreign policy in the Middle East, Africa, the Pacific Rim and elsewhere have become frighteningly evident. Instead of surveying unsatisfying but comparatively harmless theoretical options we have seen concrete political activity around the globe becoming reduced to the dilemma of terror or armed intervention. This reduction, in turn, has exposed mere languishing in desire for other options as a species of moral cowardice. The situation now demands a positive counterproposal. Finally, and almost paradoxically, recognition of the fact that Western institutions stand under threat, that besieged by forces within and without they could fail, has produced across the political spectrum a new determination to defend them. As if danger itself were a reminder that the structures we have been descrying from the left or the right as politically compromised are nevertheless essential to the accommodation of human freedom. I can think of no time since the end of the Second World War more ripe for reflective engagement of the possibility of an autonomy won through and vouchsafed in an authentically rational state and its institutions. (shrink)

Logical paradoxes – like the Liar, Russell's, and the Sorites – are notorious. But in Paradoxes and Inconsistent Mathematics, it is argued that they are only the noisiest of many. Contradictions arise in the everyday, from the smallest points to the widest boundaries. In this book, Zach Weber uses “dialetheic paraconsistency” – a formal framework where some contradictions can be true without absurdity – as the basis for developing this idea rigorously, from mathematical foundations up. In doing so, Weber directly (...) addresses a longstanding open question: how much standard mathematics can paraconsistency capture? The guiding focus is on a more basic question, of why there are paradoxes. Details underscore a simple philosophical claim: that paradoxes are found in the ordinary, and that is what makes them so extraordinary. (shrink)

Philosophers often claim that forgiveness is a paradoxical phenomenon. I here examine two of the most widespread ways of dealing with the paradoxical nature of forgiveness. One of these ways, emblematized by Aurel Kolnai, seeks to resolve the paradox by appealing to the idea of repentance. Somehow, if a wrongdoer repents, then forgiving her is no longer paradoxical. I argue that this influential position faces more problems than it solves. The other way to approach the paradox, exemplified here (...) by the work of Jacques Derrida, is just too obscure to be by itself helpful. Yet, I argue that what I take to be its spirit is on the right track. I recommend distinguishing between the definition and the justification of forgiveness, and also between forgiveness understood as a mental phenomenon and an overt, communicative act. These distinctions are not given their due in the specialized literature, and I expose the nefarious consequences of this neglect. By focusing on forgiveness as a mental phenomenon I seek to analyze the root of the talk of paradoxes which surrounds the discussion of forgiveness. Finally, I present an analysis of forgiveness as a pure mental phenomenon, and argue that this analysis is the most important step in understanding forgiveness in any other sense. While my analysis reveals interesting aspects of forgiveness, it reveals, too, that forgiveness is not quite as paradoxical after all. (shrink)

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

Husserl’s first work formulated what proved to be an algorithmically complete arithmetic, lending mathematical clarity to Kronecker’s reduction of analysis to finite calculations with integers. Husserl’s critique of his nominalism led him to seek a philosophical justification of successful applications of symbolic arithmetic to nature, providing insight into the “wonderful affinity” between our mathematical thoughts and things without invoking a pre-established harmony. For this, Husserl develops a purely descriptive phenomenology for which he found inspiration in Mach’s proposal of a “universal (...) physical phenomenology.” To account for applications to any domain, Husserl envisages a theory of all possible deductive systems, which he develops extensively in his Göttingen lectures wherein he engages with Hilbert’s work on deductive systems for geometry, real arithmetic, and physics. This leads Husserl to formulate claims of decidability and proofs of completeness for various arithmetics that result from his analysis of Kronecker’s general arithmetic. Careful attention to these proofs seem to show that Husserl was not oblivious to problems that underlie our incompleteness theorems, namely that of showing that some inversions of his algorithmic arithmetic are undefined. His growing preoccupation with the issue of a pre-established harmony between mathematical thought and reality motivate his pursuit of a “supramathematics” of all possible complete theory forms to demystify such harmony, by having such a form on hand for describing any empirical domain. He soon decides that a transcendental idealism of nature will reveal the wonderful affinity of thoughts and things comprising such harmony, to be a wonderful “parallelism of objective unities and constituted manifolds of consciousness.” But the paradoxes of logic and set theory cloud the clarity of mathematics, which Weyl would restore with Brouwer’s intuitionism and Hilbert with his metamathematics. Husserl informed Weyl that his student Becker had formulated a phenomenological foundation not only for Weyl’s generalization of relativity theory but also for the Brouwer-Weyl continuum. But Weyl eventually rejected much of Becker’s work, especially when it became clear that his phenomenological intuitionism could not account for the success of Hilbert’s transfinite mathematics in quantum physics. Becker responded to this “crisis of phenomenological method” with his mantic phenomenology celebrating the magic of mathematical mysticism, which Husserl finally rejects in favor of a pluralistic phenomenology of mathematics and nature. (shrink)

Essential for the concept of the law of nature is not only spatio-temporal universality, but also functionality in the sense of the dependency on physical conditions of natural entities. In the following it is explained in detail that just the neglect of this functional property is to be understood as the real reason for the occurrence of the Goodman paradox – with the consequence, that the behavior of things seems to be completely at the mercy of change of unique (...) unrepeatable temporal points. It is exactly this (mis-)understanding that also generated the induction problem. From the intrinsic connection between universality and functionality, however, – that is my claim – the ontological consequence of a nature results, for which lawfulness is coupled to essentially functionally defined time sequences, thereby implying a potentiality dimension of nature, too. (shrink)

Satisfaction or contentment is deficient in our intelligent world, for entropy is at its prodigality accompanying the egoistic human mind. The lesser beings are content with what is provided, seem more beholden of being created, rather than the selfish unsatisfied human, whose desire to gain has no limit leaving the body unsatisfied to deteriorate thy own soul and its existence and of the others. The cause of entropy is human intelligence and the falsified superiority of human consciousness that (...) leaves the body unsatisfied and the soul to writhe; for it creates a resistance in the flow of consciousness that makes the human loose its value of life and all that resides within. Egoism enhances superiority promotes an indestructible feeling; denies consciousness that flows within and across the system; a loss of revere to the cosmic bridge of consciousness that links the body, mind and soul to the universe. Satisfaction can be gotten when one clearly differentiates the subjectivity from the objectivity of consciousness; for the subjectivity of consciousness cannot be taken for granted over its trailing objectivity that ceaselessly deceives. (shrink)

This paper argues that we should solve paradoxes for propositions (such as the Russell–Myhill paradox) in essentially the same way that we solve Russellian paradoxes for sets. That is, the standard, iterative approach to sets is extended to include properties, and then the resulting hierarchy of sets and properties is used to construct propositions. Propositions on this account are structured in the sense of mirroring the sentences that express them, and they would seem to serve the needs of philosophers (...) of language and metaphysicians who rely on such propositions. The resulting account has limitations, comparable to those faced by the iterative approach to sets, but it is argued to be in important ways preferable to others that have been proposed. (shrink)

We suggest thinking about the beginning and ending of wars as an exercise in risk management. We argue that states, like individual citizens, must accept that some degree of security risk is inevitable when coexisting with others. We offer two principles for the just management of military risk. The first principle is Morally Justified Bearable Risk, which demands that parties at war temper their claims of justice with the realities of an anarchic and conflicted international system. The second principle, Minimum (...) Consistency toward Risk, mandates that states generally not weigh security threats higher than risks from other sources. (shrink)

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

Evolutionary fitness threats and rewards are associated with subjectively unpleasant and pleasant sensations, respectively. Initially, these correlations appear explainable via adaptation by natural selection. But here I analyse the major metaphysical perspectives on consciousness – physicalism, dualism, and panpsychism – and conclude that none help to understand the adaptive-seeming correlations via adaptation. I also argue that a recently proposed explanation, the phenomenal powers view, has major problems that mean it cannot explain the adaptive-seeming correlations via adaptation either. So the mystery (...) – call it the evolutionary paradox of consciousness – remains. Some have used this mystery to argue for non-naturalistic (e.g. theistic) explanations. But I propose a naturalistic, non-adaptive explanation of the adaptive-seeming correlations: namely, ‘sensational associative learning’ during development. In this perspective, pairing of particular sensations with unconditioned stimuli – fitness rewards or threats – cause the sensations themselves to come to be interpreted as good or bad, respectively. Sensations, like colours, that are not reliably paired with either fitness rewards or threats remain largely unvalenced. Sensational associative learning also provides explanations for adaptive-seeming structural aspects of sensations, such as the observation that sounds of different pitch are experienced as ordinal in correspondence to their wavelengths while the same is not true of colours of different hue. The sensational associative learning perspective appears compatible with physicalism, panpsychism, and dualism (though not epiphenomenalism). (shrink)

_Paradoxes from A to Z, Third edition_ is the essential guide to paradoxes, and takes the reader on a lively tour of puzzles that have taxed thinkers from Zeno to Galileo, and Lewis Carroll to Bertrand Russell. Michael Clark uncovers an array of conundrums, such as Achilles and the Tortoise, Theseus’ Ship, and the Prisoner’s Dilemma, taking in subjects as diverse as knowledge, science, art and politics. Clark discusses each paradox in non-technical terms, considering its significance and looking at (...) likely solutions. This third edition is revised throughout, and adds nine new paradoxes that have important bearings in areas such as law, logic, ethics and probability. Paradoxes from A to Z, Third edition is an ideal starting point for those interested not just in philosophical puzzles and conundrums, but anyone seeking to hone their thinking skills. (shrink)

A paradox can be defined as an unacceptable conclusion derived by apparently acceptable reasoning from apparently acceptable premises. Many paradoxes raise serious philosophical problems, and they are associated with crises of thought and revolutionary advances. The expanded and revised third edition of this intriguing book considers a range of knotty paradoxes including Zeno's paradoxical claim that the runner can never overtake the tortoise, a new chapter on paradoxes about morals, paradoxes about belief, and hardest of all, paradoxes about truth. (...) The discussion uses a minimum of technicality but also grapples with complicated and difficult considerations, and is accompanied by helpful questions designed to engage the reader with the arguments. The result is not only an explanation of paradoxes but also an excellent introduction to philosophical thinking. (shrink)

[[[ (Here only the chapters 3 – 8, see *** ) First I argue that the prohibition of linguistic self-reference as a solution to the antinomy problem contains a pragmatic contradiction and is thus not only too restrictive, but just inconsistent (chap.1). Furthermore, the possibilities of non-restrictive strategies for antinomy avoidance are discussed, whereby the explicit inclusion of the – pragmatically presuposed – consistency requirement proves to be the optimal strategy (chap.2). ]]] The central question here is that about the (...) actual reason for antinomic structures. It turns out to be a form of negative self-conditioning (chap.3). This makes it necessary to clarify the status of negative concepts (chap.4). The generalization of these considerations (chap.5) leads to the actual analysis of the antinomic basic structure (chap.6): Decisively for the pragmatics of the concept is that it positively owns a meaning, so that positivity is always constituted by the concept qua concept. Thus a negative concept is characterized by a fundamental ambivalence: From a semantic point of view it has negative character, in its pragmatic status as a concept, however, it has positive character. If the meaning is especially that of a negative self-reference, the ambivalence leads to the antinomic constellation of a negative self-condition – that is the crux of the matter here! The concept thus possesses the property defined by it exactly when it does not possess it and vice versa. A closer analysis shows that the function of reflective structures for the occurrence of antinomies has to be judged much more differentiated than previous opinions suggest. Not only are four forms of reflectivity to be distinguished in this context – ontic, semantic, pragmatic reflectivity, and especially the form of negative self-condition; but it is also apparent that these are intertwined with each other in a way that is difficult to be understood. The astonishing variety of relationships associated with this makes the irritation that has always emanated from the antinomy problem appear more comprehensible. In the developed pragmatic perspective furtheron parallels to the structure of self-consciousness become visible (chap.7). I conclude with considerations about the significance of the antinomic structure for the problem of dialectics, especially for the synthesis formation of mutually exclusive terms (chap.8). (shrink)

We introduce a variant of pointer structures with denotational semantics and show its equivalence to systems of boolean equations: both have the same solutions. Taking paradoxes to be statements represented by systems of equations (or pointer structures) having no solutions, we thus obtain two alternative means of deciding paradoxical character of statements, one of which is the standard theory of solving boolean equations. To analyze more adequately statements involving semantic predicates, we extend propositional logic with the assertion operator and give (...) its complete axiomatization. This logic is a sub-logic of statements in which the semantic predicates become internalized (for instance, counterparts of Tarski’s definitions and T-schemata become tautologies). Examples of analysis of self-referential paradoxes are given and the approach is compared to the alternative ones. (shrink)