The standard approach to the so-called paradoxes of identity has been to argue that these paradoxes do not essentially concern the notion of identity but rather betray misconceptions on our part regarding other metaphysical notions, like that of an object or a property. This paper proposes a different approach by pointing to an ambiguity in the identity predicate and arguing that the concept of identity that figures in many ordinary identity claims, including those that appear in the paradoxes, is not (...) the traditional philosophical concept but one that can be defined in terms of relevant similarity. This approach to the paradoxes will be argued to be superior to the standard one. (shrink)

Many advocates of non-classical logic for reasons external to mathematics claim that their proposed revisions are consistent with the use of classical logic within pure mathematics. Doubts are raised about such claims, concerning the applicability of pure mathematics to natural and social science. -/- .

The authors consider a recurring objection to fictional realism, the view that fictional characters are objects. The authors call this the counting objection. Russell presses a version of the objection against Meinong’s view. Everett presses a version of the objection against contemporary fictional realist views, as do Nolan and Sandgren. As the authors see it, the objection assumes that the fictional realist must provide criteria of identity for fictional characters, so its force depends on the plausibility of that assumption. Rather (...) than coming up with such criteria, a fictional realist might argue that the demand is misplaced. (shrink)

© The Authors 2017. Published by Oxford University Press on behalf of The Analysis Trust. All rights reserved. For Permissions, please email: [email protected] key virtue of Vague Objects and Vague Identity is how it includes so many essays that consider the particular ways vagueness manifests in different kinds of entities, including meanings, part-whole relations, the very small as understood by quantum mechanics, people, sensations, sets, ordinals, cardinals and abstractions. In every case, the author has something interesting to say not just (...) about vagueness but about the metaphysical category in question.One theme that unifies the diverse discussions is Gareth Evans’s brief 1978 note, ‘Can There Be Vague Objects?’ Let ‘▽’ stands for ‘it is indeterminate whether’, ‘λ’ stands for what it does in the lambda calculus, and ‘⊥’ be the absurdity constant. Then, Evans’s initial argument is: ▽ assumptionλx[▽]b 1... (shrink)

In a series of papers, Elizabeth Barnes and Robert Williams have developed a theory of metaphysical vagueness in which they argue for legitimacy of vague object and indeterminate identity. In his recent paper, Ken Akiba raises two objections against Barnes-Williams theory, concluding that it is ill-conceived and wrong-headed. In one objection, he argues that the theory implies indeterminate identity between referentially determinate objects to which λ-abstraction is applicable, and hence Evans’ argument ultimately goes through. In the other, he objects that (...) Barnes-Williams theory also fails to block Salmon’s argument. This paper discusses the two objections. It argues that there are legitimate reasons for rejecting both, and hence to revive Barnes-Williams theory. Furthermore, it is shown that the objections, while unsuccessful, are helpful in revealing the limitations of Barnes-Williams theory. (shrink)

ABSTRACTI propose a different account of fictional objects from the ones already present in the literature. According to my account, fictional objects are culturally created abstract objects dependent for their existence on the pretence attitude adopted by a group of people towards a single fictional content. My work is divided into three parts: in the first one, I present how fictional objects come into existence according to my proposal; in the second part, I illustrate how the existence of fictional objects (...) so conceived may be ontically indeterminate; in the last part, I consider what happens when vague existence and indeterminate identity are claimed within fictional texts. (shrink)

In ‘Against fictional realism’ Anthony Everett argues that fictional realism leads to indeterminate identity. He concludes that we should reject fictional realism. Everett’s paper and much of the ensuing literature does not discuss what exactly fictional characters are. This is a mistake. I argue that some versions of abstract creationism about fictional characters lead to indeterminate identity, and that some versions of Platonism about fictional characters lead only to indeterminate reference. In doing so I show that Everett’s argument poses a (...) more pressing problem for abstract creationism than for Platonism. The general lesson is that fictional realists should think more about the ontology of fictional characters in order to discern whether they are committed to indeterminate identity. (shrink)