According to orthodoxy the study of the Soritical and semantical paradoxes belongs to the domain of the philosophy of language. To solve these paradoxes we need to investigate the nature of words like `heap' and `true.' In this thesis I criticise linguistic explanations of the state of ignorance we find ourselves in when confronted with indeterminate cases and develop a classical non-linguistic theory of indeterminacy in its stead. The view places the study of vagueness and indeterminacy squarely in epistemological terms, situating it within a theory of rational propositional attitudes. The resulting view is applied to a number of problems in the philosophy of vagueness and the semantic paradoxes.

Vagueness is ubiquitous in natural language. It seems incompatible with classical, bivalent logic, which tells us that every statement is either true or false, and none is vaguely true. Yet we do manage to reason using vague natural language. In fact, the majority of our day-to-day reasoning involves vague terms and concepts. There is a puzzle here: how do we perform this remarkable feat of reasoning? I argue that vagueness is a kind of semantic indecision. In short, that means we cannot say exactly who is bald and who is not because we have never decided the precise meaning of the word 'bald'--there are some borderline cases in the middle, which might be bald or might not. That is a popular general strategy for addressing vagueness. Those who use it, however, do not often say what they mean by 'borderline case'. It is most frequently used in a loose way to refer to in-between items: those people who are neither clearly bald nor clearly not bald. But under that loose description, the notion of borderline cases is ambiguous, and some of its possible meanings create serious problems for semantic theories of vagueness.Here, I clarify the notion of a borderline case, so that borderline cases can be used profitably as a key element in a successful theory of vagueness. After carefully developing my account of borderline cases, I demonstrate its usefulness by proposing a theory of vagueness based upon it. My theory, vagueness as permission, explains how classical logic can be used to model even vague natural language.

Thesis (Ph. D.)--University of Texas at Austin, 2007. / Vita. Includes bibliographical references.

I defend a naive conception of material objects, according to which there are such things as stones, statues, cats and their tails, but no "strange fusions" of such things as my nose and the Eiffel Tower. Virtually everyone in the literature rejects the naive conception in favor of some revisionary theory of material objects. Eliminativists (e.g., Unger, van Inwagen, Merricks) deny that there are such things as statues and stones and, in some cases, cats as well. Universalists (e.g., Lewis, Rea, Sider) hold that for any objects you like--even my nose and the Eiffel Tower--there is a single object composed of those objects. These revisionary theories are manifestly counterintuitive, but there are powerful arguments for preferring them to the naive conception. The first part of the dissertation is devoted to showing how these arguments can be resisted. First, I assess the charge that, given the correctness of the naive conception, it would have been a miraculous stroke of luck for us to have hit upon the privileged conceptual scheme. Second, I examine the Lewis-Sider argument from vagueness for unrestricted mereological composition, Third, I show that the grounding problem for coincident modally discernible objects can be solved. Fourth, show that the causal exclusion argument as applied to ordinary objects can be resisted without either systematic overdetermination or epiphenomena. In the second part of the dissertation, I argue that the prima facie conflict between revisionary theories and our ordinary discourse, beliefs, and intuitions about material objects proves to be an insurmountable problem for those theories. First, I argue that existing attempts to reconcile revisionary theories of material objects with folk discourse are unsatisfactory, Second, I provide a perspicuous statement of the "challenge from folk belief" and argue that the standard strategies for meeting the challenge are unsatisfactory.

No description available.

The main focus of this thesis is indeterminate identity and its relations to vague objects and to imprecise designation. Evans's argument concerning indeterminate-identity statements is often regarded as a proof that vague objects cannot exist. In chapter I I try to argue that the argument may be refuted by vague objects theorists. In chapter II I present various accounts of what indeterminate identity between objects may consist in and three different characteristics of it. I argue that there are objects whose identity is indeterminate and that such indeterminacy is ontic in the sense that it concerns individuation and spatio-temporal boundaries of objects. I also formulate the argument showing that (independently of Evans's argument) terms designating indeterminately identical objects cannot be precise designators. Chapter III is devoted to problems concerning vagueness and identity-over-time. The indeterminate answer to the questions concerning diachronic identity in puzzling cases can be regarded as the correct response by both endurantists and perdurantists. However, while for perdurantists the whole vagueness of persistence conditions is a conceptual matter, for endurantists it deserves the name of "ontic vagueness". Chapter IV focuses on questions concerning vagueness and identity-at-a-time. I offer a new solution to the problem of the many, according to which in each case in which the problem arises there is - contrary to appearances - only one (vague) object present. The problem arises because each such object has many precisifications, which nevertheless have no ontological significance. I also propose a new account of what it takes for an object to be vague. Chapter V deals with indeterminate identity in the domain of quanta. The first part investigates the various problems concerning identity and individuation of quantum particles, whereas the second part is devoted to analysis and critique of E. J. Lowe's example of alleged indeterminate identity-over-time between electrons.

Minimalism concerning truth is the view that that all there is to be said concerning truth is exhausted by a set of basic platitudes. In the first part of this thesis, I apply this methodology to the concept of knowledge. In so doing, I develop a model of inexact knowledge grounded in what I call minimal margin for error principles. From these basic principles, I derive the controversial result that epistemological internalism and internalism with respect to self-knowledge are untenable doctrines. In the second part of this thesis, I develop a minimal theory of vagueness in which a rigorous but neutral definition of vagueness is shown to be possible. Three dimensions of vagueness are distinguished and a proof is given showing how two of these dimensions are equivalent facets of the same phenomenon. From the axioms of this minimal theory one can also show that there must be higher-order vagueness, contrary to what some have argued. In the final part of this thesis, I return to issues concerning the credentials of truth-minimalism. Is truth-minimalism compatible with the possibility of truth-value gaps? Is it right to say that truth-minimalism is crippled by the liar paradox? With respect to the former question, I develop a novel three-valued logical system which is both proof-theoretically and truth-theoretic ally well-motivated and compatible with at least one form of minimalism. With respect to the second question, a new solution to the liar paradox is developed based on the claim that while the liar sentence is meaningful, it is improper to even suppose that this sentence has a truth-status. On that basis, one can block the paradox by restricting the Rule of Assumptions in Gentzen-style presentations of the sentential sequent calculus. The first lesson of the liar paradox is that not all assumptions are for free. The second lesson of the liar is that, contrary to what has been alleged by many, minimalism concerning truth is far better placed than its rival theories to solve the paradox.

Thesis (M.A.)--Indiana University, 2010. / Title from screen (viewed on February 26, 2010). Department of Philosophy, Indiana University-Purdue University Indianapolis (IUPUI). Advisor(s): Cornelis de Waal, André De Tienne, Nathan R. Houser. Includes vitae. Includes bibliographical references (leaves 104-114).

According to the dominant approach in the theory of vagueness, the nature of the vagueness of an expression ‘F’ consists in its presenting borderline cases in an appropriately ordered series: objects which are neither definitely F nor definitely not F (where the notion of definiteness can be semantic, ontic, epistemic, psychological or primitive). In view of the various problems faced by theories of vagueness adopting the dominant approach, the thesis proposes to reconsider the naive theory of vagueness, according to which the nature of the vagueness of an expression consists in its not drawing boundaries between any neighbouring objects in an appropriately ordered series. It is argued that expressions and concepts which do present this feature play an essential role in our cognitive and practical life, allowing us to conceptualize—in a way which would otherwise be impossible—the typically coarse-grained distinctions we encounter in reality. Despite its strong initial plausibility and ability to explain many phenomena of vagueness, the naive theory is widely rejected because thought to be shown inconsistent by the sorites paradox. In reply, it is first argued that accounts of vagueness based on the dominant approach are themselves subject to higher-order sorites paradoxes. The paradox is then solved on behalf of the naive theory by rejecting the unrestricted transitivity of the consequence relation on a vague language; a family of logics apt for reasoning with vague expressions is proposed and studied (using models with partially ordered values). The characteristic philosophical and logical consequences of this novel solution are developed and defended in detail. In particular, it is shown how the analysis of what happens in the attempt of surveying a sorites series and deciding each case allows the naive theory to recover a "thin" notion of a borderline case.

This thesis chronicles the development of Henri Fantin-Latour’s identity as a peintre-mélomane. Its purpose is to investigate how his multi-sensory impressions of music, particularly during performances of Richard Wagner’s operas and Hector Berlioz’s musical-dramatic works, would materialize into an aesthetic of vagueness. I examine the manner in which the scenic, acoustic, and acousmatic conditions in his physical environment heightened his awareness of a poetic and palpable sense of vagueness. I postulate that he aspired to simulate the sensorial aspects of his musical experiences in his operatic interpretations, lieder-inspired images, and allegorical fantasies. Through his inventive experimentation with lithography and his adaptation of painting techniques by his favorite old masters (most notably Eugène Delacroix), he developed a distinct facture that imbued his atmospheric prints, pastels, and paintings with an ineffable quality of vagueness. The correspondence between the auditory sensation, visual perception, and formal expression of the vague is also reflected in the picturesque language and musical nomenclature invoked by the contemporary criticism. The elusive sense of the musically vague in Fantin’s imaginative genre was a conspicuous leitmotif in the Salon reviews. An intertextual comparison between the musical discourse of the time and the critical reception of his artworks reveals absolute music to be a model of emulation. In light of music’s centrality in Fantin’s artistic enterprise, the conclusion explores the extent of Berlioz’s and Wagner’s aesthetic influence on his theory and practice.