I revisit my earlier arguments for the (trivial) inconsistency of natural languages, and take up the objection that no such argument can be established on the basis of surface usage. I respond with the evidential centrality of surface usage: the ways it can and can't be undercut by linguistic science. Then some important ramifications of having an inconsistent natural language are explored: (1) the temptation to engage in illegitimate reductio reasoning, (2) the breakdown of the knowledge idiom (because its facticity (...) isn't comfortable with every sentence being true and false). Restoring the utility of the knowledge idiom motivates regimentation - the consistentist reinterpretation of natural language inferences (as they occur in real time). It's then sketched how to give the semantics of a natural language despite its inconsistency: Necessary and sufficient truth conditions are dropped in favor of necessary truth conditions and sufficient truth conditions. (shrink)

Paraconsistent approaches have received little attention in the literature on vagueness (at least compared to other proposals). The reason seems to be that many philosophers have found the idea that a contradiction might be true (or that a sentence and its negation might both be true) hard to swallow. Even advocates of paraconsistency on vagueness do not look very convinced when they consider this fact; since they seem to have spent more time arguing that paraconsistent theories are at least as (...) good as their paracomplete counterparts, than giving positive reasons to believe on a particular paraconsistent proposal. But it sometimes happens that the weakness of a theory turns out to be its mayor ally, and this is what (I claim) happens in a particular paraconsistent proposal known as subvaluationism. In order to make room for truth-value gluts subvaluationism needs to endorse a notion of logical consequence that is, in some sense, weaker than standard notions of consequence. But this weakness allows the subvaluationist theory to accommodate higher-order vagueness in a way that it is not available to other theories of vagueness (such as, for example, its paracomplete counterpart, supervaluationism). (shrink)

The main thesis of this paper is that we sometimes are disposed to accept false and even jointly inconsistent claims by virtue of our semantic competence, and that this comes to light in the sorites and liar paradoxes. Among the subsidiary theses are that this is an important source of indeterminacy in truth conditions, that we must revise basic assumptions about semantic competence, and that classical logic and bivalence can be upheld in the face of the sorites paradox.

Transvaluationism makes two fundamental claims concerning vagueness. First, vagueness is logically incoherent in a certain way: vague discourse is governed by semantic standards that are mutually unsatisfiable. But second, vagueness is viable and legitimate nonetheless; its logical incoherence is benign.

The philosophical account of vagueness I call "transvaluationism" makes three fundamental claims. First, vagueness is logically incoherent in a certain way: it essentially involves mutually unsatisfiable requirements that govern vague language, vague thought-content, and putative vague objects and properties. Second, vagueness in language and thought (i.e., semantic vagueness) is a genuine phenomenon despite possessing this form of incoherence—and is viable, legitimate, and indeed indispensable. Third, vagueness as a feature of objects, properties, or relations (i.e., ontological vagueness) is impossible, because of (...) the mutually unsatisfiable conditions that such putative items would have to meet. In this paper I set forth the core claims of transvaluationism in a way that acknowledges and explicitly addresses a challenging critique by Timothy Williamson of my prior attempts to articulate and defend this approach to vagueness. I sketch my favored approach to truth and ontological commitment, and I explain how it accommodates the impossibility of ontological vagueness. I argue that any approach to the logic and semantics of vagueness that both (i) eschews epistemicism and (ii) thoroughly avoids positing any arbitrary sharp boundaries (either first-order or higher-order) will have to be not an alternative to transvaluationism but an implementation of it. I sketch my reasons for repudiating epistemicism. I briefly describe my current thinking about how to accommodate intentional mental properties with vague content within an ontology that eschews ontological vagueness. And I revisit the idea, which played a key role in my earlier articulations of transvaluationism, that moral conflicts provide an illuminating model for understanding vagueness. (shrink)

The ancient sorites paradox is traditionally attributed to Eubulides, a contemporary of Aristotle and a member of the Megarian school, who is also credited with inventing the liar paradox. The sorites paradox figures centrally in most discussions of vagueness in philosophy and in logic. In my view, it has profound implications for metaphysics and semantics, as well as for logic. In this paper I will briefly explain why I think so, in a way that draws upon my other [1] writings (...) on vagueness. The paper also will constitute a brief, opinionated, overview of the.. (shrink)

I advocate a two part view concerning vagueness. On one hand I claim that vagueness is logically incoherent; but on the other hand I claim that vagueness is also a benign, beneficial, and indeed essential feature of human language and thought. I will call this view transvaluationism, a name which seems to me appropriate for several reasons. First, the term suggests that we should move beyond the idea that the successive statements in a sorites sequence can be assigned differing truth (...) values in some logically coherent way that fully respects the nature of vagueness -a way that [1] fully eschews any arbitrarily precise semantic transitions. We should transcend this impossible goal by accepting that vagueness harbors logical incoherence. Second, just as Nietzsche held that one can overcome nihilism by embracing what he called the transvaluation of all values, my position affirms vagueness, rather than despairing in the face of the logical absurdity residing at its very core. This affirmation amounts to a transvaluation of truth values, as far as sorites sequences are concerned. Third, the term 'transvaluationism' has a nice ring to it, especially since one of the principal philosophical approaches to vagueness is called supervaluationism. I will call the first claim of transvaluationism, that vagueness is logically incoherent, the incoherence thesis . I will call the second claim, that vagueness is benign, beneficial, and essential, the legitimacy thesis . The legitimacy thesis, taken by itself, seems overwhelmingly plausible; anyone who denies it assumes a heavy burden of proof. But prima facie, it seems dubious that the legitimacy thesis can be maintained in conjunction with the incoherence thesis. For, there is reason to doubt whether there is any cogent way to embrace the incoherence thesis without thereby becoming mired in what Williamson (1994) calls global nihilism about vagueness -the view that vague terms are empty (i.e., they do not, and cannot, apply to anything). Global nihilism, Williamson argues, has such destructively negative consequences that it does not deserve to be taken seriously -for instance, the consequence that vastly many of our common sense beliefs are false, and the consequence that these beliefs are not even useful (since the constituent terms in 'Common sense beliefs are useful' are vague and hence this statement turns out, given the [2] incoherence thesis, to be false itself). In short, the idea that one can adopt the incoherence thesis and then somehow transcend nihilism might initially seem hopelessly optimistic; transvaluationism would then be an unattainable, chimerical, goal rather than an intelligible and conceptually stable position concerning vagueness. Given certain widely held philosophical views about how language and thought must map onto the world in order for statements and the beliefs they express to be true -views that fall appropriately under the label 'referential semantics' -transvaluationism probably is a chimerical goal.. (shrink)

. According to Horgans transvaluationist approach, the robustness that characterizes vague terms is inherently incoherent. He analyzes that robustness into two conceptual poles, individualistic and collectivistic, and ascribes the incoherence to the former. However, he claims vague terms remain useful nonetheless, because the collectivistic pole can be realized with a suitable non-classical logic and can quarantine the incoherence arising out of the individualistic pole. I argue, on the contrary, that the nonclassical logic fails to resolve the difficulty and that the (...) incoherence afflicts Horgans collectivistic pole as well, consequently invalidating the entire transvaluationist approach. An alternative, coherent conception of robustness is suggested. (shrink)

It is argued that a certain form of the view that the semantic paradoxes show that natural languages are "inconsistent" provides the best response to the semantic paradoxes. After extended discussions of the views of Kirk Ludwig and Matti Eklund, it is argued that in its strongest formulation the view maintains that understanding a natural language is sharing cognition of an inconsistent semantic theory for that language with other speakers. A number of aspects of this approach are discussed and a (...) few objections are entertained. (shrink)

Vague predicates, on a paraconsistent account, admit overdetermined borderline cases. I take up a new line on the paraconsistent approach, to show that there is a close structural relationship between the breakdown of soritical progressions, and contradiction. Accordingly, a formal picture drawn from an appropriate logic shows that any cut-off point of a vague predicate is unidentifiable, in a precise sense. A paraconsistent approach predicts and explains many of the most counterintuitive aspects of vagueness, in terms of a more fundamental (...) inconsistency. (shrink)

The paper is a critique of Terry Horgan's transvaluationist theory of vagueness. It argues that Horgan's formulations equivocate between a semantic 'ought' and a semantic 'is'. On one reading, transvaluationism is trivially inconsistent. On another reading, it is consistent, but also consistent with an epistemic account of vagueness. In addition, the paper criticizes Horgan's attempt to recruit supervaluationism as a form of transvaluationism and his argument against vagueness in the world.