Can supervaluationism successfully handle indirect speech reports? This chapter considers, and rejects, Schiffer’s claim that they cannot. One alleged problem with indirect speech reports is that the truth of “Carla said that Bob is tall” implausibly requires that Carla said all of a huge number of precise things (i.e. that Bob was over n feet tall, for values of n corresponding to precisifications of “tall”). The paper shows why the supervaluationist is not committed to this. Vague singular terms are no (...) particular problem for supervaluationism within indirect speech reports, it is argued, but there remain some issues surrounding certain vague demonstratives. The supervaluationist has good responses available, however, and any remaining questions face all theories of vagueness and are more appropriately addressed within a theory of demonstratives rather than a theory of vagueness. (shrink)

Is there an interesting relation between the Preface paradox and the Sorites paradox that might be used to illuminate either or both of those paradoxes and the phenomena of rationality and vagueness with which they, respectively, are bound up? In particular, if we consider the analogy alongside a familiar response to the Preface Paradox that employs degrees of belief, does this give any support to the thought that we should adopt some kind of degree-theoretic treatment of vagueness and the sorites? (...) This chapter argues that it does not; indeed exploring the disanalogies contributes to a case against such a treatment of vagueness more generally. Among other views, it considers Edgington’s account of vagueness that employs a probabilistic structure of “verities”. It then contends that appeal to the framework of supervaluationism yields a better guide to reasoning in vague language than the degree-theoretic treatment can sustain. (shrink)

This paper argues that philosophical debates between Nyāya and Buddhists on the nature and acquisition of testimonial knowledge present contrasting images of the role played by the epistemic agent in the knowing process. According to Nyāya, an individual can acquire testimonial knowledge automatically—and with little epistemic work—from a trustworthy speaker’s say-so. On the other hand, Buddhist epistemologists, who claim that testimonial knowledge is a species of inferential knowledge, argue that, in order to acquire knowledge from a speaker’s statements, an epistemic (...) agent must possess non-testimonial evidence for the reliability of the testimony in question. This disagreement regarding the division of epistemic labour in testimonial exchanges demonstrates how differently Nyāya and Buddhist philosophers view the prevalence and practical importance of testimonial knowledge. For Nyāya, the ubiquity and easy acquisition of testimonial knowledge help explain the success of our daily actions. However, for Buddhist epistemologists, despite the regularity with which we successfully act based on what others tell us, testimonial knowledge is, in fact, less common, and more difficult to acquire, than we might think. (shrink)

I argue that biographical information is akin to other non-aesthetic, social, historical, or political information. As such, artist’s biographies are always relevant and important when interpreting art. While the meaning and value of a piece of art is not determined by any single piece of contextual information, neither is its meaning and value ever entirely separated from context. In some cases, however, a piece of art that is technically magnificent may be experienced as repugnant when the artist has committed egregious (...) acts. (shrink)

Abstract-In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables are the truth values true and false, usually denoted 1 and 0, whereas in elementary algebra the values of the variables are numbers. From Poincaré to Turing mathematics is developed at the basis of the fundamental processes.

Quantic numbers variate as multiples of a fundamental quantity as the spin, that is always an entire multiple of 1/2.

In this paper, I ask whether we should see different logical systems as appropriate for different domains (or perhaps in different contexts) and whether this would amount to a form of logical pluralism. One, though not the only, route to this type of position, is via pluralism about truth. Given that truth is central to validity, the commitment the typical truth pluralist has to different notions of truth for different domains may suggest differences regarding validity in those different domains. Indeed, (...) as we’ll see, the differences between the proposed multiple notions of truth are often of a type that is clearly significant in relation to logical features, such as whether or not a constructive notion of truth is at issue. I criticise domain-based logical pluralism. Having done so I introduce a context-based framework that operates with a context-relative notion of validity. I show that this context-based framework can be employed by the domain-specific logical pluralist, but that framework also allows for logical pluralism that does not involve several domains. Different contexts may demand rules of classical logic, where others only justify intuitionistic rules, even when the same domain (e.g. mathematics) is at issue. (shrink)

The parallel research is contemporary to analyse processes and localisation in artificial intelligence (AI) associated with connexionism and learning algorithms. In machine learning, the perceptron (or McCulloch-Pitts neuron) is an algorithm for Boolean functions of binary classifiers. A binary classifier is a function which can decide whether or not an input, represented by a vector of numbers, belongs to some specific class. With a pattern N we use the calculator in synthesis applying polynomial advanced systems.

Dieser Schwerpunkt dreht sich um das Konzept der Mathematik und ihrer Komponenten und die Bedeutung von Konnektoren für die Mathematik, die auf Taschenrechner angewendet werden.

Cette orientation évolue autour du concept de mathématiques et de ses composants et de l'importance des connecteurs pour les mathématiques appliquées aux calculatrices.Les symboles et la synthèse sont inscrits pour remarquer leur règle dans les mathématiques et les machines intelligentes générales.

This paper is an expanded written version of my reply to Rosanna Keefe’s paper ‘Modelling higher-order vagueness: columns, borderlines and boundaries’ (Keefe 2015), which in turn is a reply to my paper ‘Columnar higher-order vagueness, or Vagueness is higher-order vagueness’ (Bobzien 2015). Both papers were presented at the Joint Session of the the Aristotelian Society and the Mind Association in July, 2015. At the Joint Session meeting, there was insufficient time to present all of my points in response to (...) Keefe’s paper. In addition, the audio of the session, which is available online, becomes inaudible at the beginning of my reply to Keefe’s comments due to a technical defect. The following is a full version of my remarks. (shrink)

Many philosophers, I suspect, are partial to supervaluational theories of vagueness. And with good reason. Its rivals all seem to promise metaphysical mysteries concerning hitherto unnoticed, and perhaps unnoticeable, sharp boundaries around our concepts, or radical revision in our logical practices. And not only have philosophers been so tempted. The texts are a little unclear, but it seems several economists can be read as adopting supervaluational solutions to the difficulties raised by vagueness in economic concepts. Given its popularity, and plausibility, (...) supervaluationism deserves a book-length defence. Yet this is the first such book in the philosophical canon. (shrink)

The budding notion of sustainability is analyzed using the notions of an interdisciplinary versus a multidisciplinary field by Lindley Darden and Nancy Maul.

What the world needs now is another theory of vagueness. Not because the old theories are useless. Quite the contrary, the old theories provide many of the materials we need to construct the truest theory of vagueness ever seen. The theory shall be similar in motivation to supervaluationism, but more akin to many-valued theories in conceptualisation. What I take from the many-valued theories is the idea that some sentences can be truer than others. But I say very different things to (...) the ordering over sentences this relation generates. I say it is not a linear ordering, so it cannot be represented by the real numbers. I also argue that since there is higher-order vagueness, any mapping between sentences and mathematical objects is bound to be inappropriate. This is no cause for regret; we can say all we want to say by using the comparative truer than without mapping it onto some mathematical objects. From supervaluationism I take the idea that we can keep classical logic without keeping the familiar bivalent semantics for classical logic. But my preservation of classical logic is more comprehensive than is normally permitted by supervaluationism, for I preserve classical inference rules as well as classical sequents. And I do this without relying on the concept of acceptable precisifications as an unexplained explainer. The world does not need another guide to varieties of theories of vagueness, especially since Timothy Williamson (1994) and Rosanna Keefe (2000) have already provided quite good guides. I assume throughout familiarity with popular theories of vagueness. (shrink)

It gives me great pleasure and honor to introduce myself as the incoming Editor-in-Chief of Polis: The Journal for Ancient Greek and Roman Political Thought. For the last decade I have served as an Associate Editor and the Book Review Editor of the journal. I am very excited about charting new paths for the journal, while continuing to publish first-rate scholarship in our area strengths. Although ‘polis’ is a Greek word that identifies a specific Greek historical political institution, in many (...) important ways the culture of Greek political thought interacted with the political culture of Regal, Republican, and Imperial Rome through Greek settlements in the Western Mediterranean, Roman military conquest, and cultural Hellenization. In the last year the editorial staff of Polis decided to expand the domain of our journal to include scholarship on Roman political thought and Greek-language political thought from the Hellenistic and Roman Imperial periods. Although Polis has been publishing reviews of books devoted to these new domains for several issues, it is quite gratifying to publish an entire special issue, edited by Grant Nelsestuen and Associate Editor Daniel Kapust, devoted to Roman political thought. Additional articles on Roman political thought are in the journal’s publication queue and we look forward to becoming an important venue for the publication of original scholarship and book reviews on Roman political thought and its subsequent reception, along with our original remit for Greek political thought and its reception. The editorial staff of Polis has undergone a number of changes in conjunction with my new role. First and foremost, my mentor and predecessor Kyriakos Demetriou has retired from the position of Editor-in-Chief and become a member of our Editorial Board. I have had the privilege of working with Kyriakos for over 15 years, during which time he transformed the newsletter of the Society for Ancient Greek Political Thought into a pre-eminent peer-reviewed academic journal. I may only hope 15 years from now, that Polis has continued to grow as a source for landmark scholarship on Greek and Roman political thought. During the editorial transition, Associate Editors Rosanna Lauriola and Essam Safty have left our editorial staff. We are grateful for their service to the journal and wish them well in their scholarly endeavors. Finally, I am pleased to announce several additions to our editorial staff. Dimitri El Murr, Professor of Ancient Philosophy at the Ecole Normale Supérieure (Université Paris Sciences et Lettres), has joined the journal as an Associate Editor responsible for the refereeing and editing of Francophone submissions to Polis. Demetra Kasimis, Assistant Professor of Political Science at the University of Chicago, has joined as an Associate Editor responsible for the refereeing of submissions on the political aspects of Greek literature (such as epic, tragedy, and comedy). Matthew Simonton, Associate Professor of History at Arizona State University, has joined the journal as an Associate Editor and Book Review Editor. Finally, Dr. Alexandra Wilding has joined our editorial staff as the journal’s copy-editor. Learn from and enjoy the scholarship of our current issue. Submit to Polis your scholarship on ancient Greek and Roman political thought. Be a part of the future of Polis. Thornton Lockwood Editor-in-Chief. (shrink)

This article argues that resolutions to the sorites paradox offered by epistemic and supervaluation theories fail to adequately account for vagueness. After explaining the paradox, I examine the epistemic theory defended by Timothy Williamson and discuss objections to his semantic argument for vague terms having precise boundaries. I then consider Rosanna Keefe's supervaluationist approach and explain why it fails to accommodate the problem of higher-order vagueness. I conclude by discussing how fuzzy logic may hold the key to resolving the (...) sorites paradox without positing indefensible borders to the correct application of vague terms. (shrink)