Matti Eklund

Let the moral question of personal identity be the following: what is the nature of the entities we should focus our prudential concerns and ascriptions of responsibility around? (If indeed we should structure these things around any entities at all.) Let the semantic question of personal identity be the question of what is the nature of the entities that ‘person’ is true of. A naive (in the sense of simple and intuitive) view would have it that the two questions are so intimately connected that the entities we should focus our concerns and ascriptions around are, pretty trivially, the persons. In part, my aim here is to evaluate this naive view. However, I will not actually attempt to give a definite verdict on it. Rather, I will identify the assumptions under which the naive view is true, and discuss how to go about evaluating those assumptions

Neo-Fregeanism in the philosophy of mathematics consists of two main parts: the logicist thesis, that mathematics (or at least branches thereof, like arithmetic) all but reduce to logic, and the platonist thesis, that there are abstract, mathematical objects. I will here focus on the ontological thesis, platonism. Neo-Fregeanism has been widely discussed in recent years. Mostly the discussion has focused on issues specific to mathematics. I will here single out for special attention the view on ontology which underlies the neo-Fregeans’ claims about mathematical objects, and discuss this view in a broader setting

In his recent Analysis article (2012), Robert Williams considers two puzzles relating to indeterminacy. On the basis of these puzzles, he defends a seemingly radical view on the normative role of indeterminacy. He speaks of indeterminacy as ‘normatively silent’. There are two ways of understanding the view that Williams defends. On one understanding, the view ends up being indistinguishable from one of the more traditional views Williams rejects, the view that phenomena of different kinds fall under the umbrella level ‘indeterminacy’. On the other understanding, Williams’s view is genuinely radical but his arguments don't adequately support it

In this paper I outline an alternative to hermeneutic fictionalism, an alternative I call indifferentism, with the same advantages as hermeneutic fictionalism with respect to ontological issues but avoiding some of the problems that face fictionalism. The difference between indifferentism and fictionalism is this. The fictionalist about ordinary utterances of a sentence S holds, with more orthodox views, that the speaker in some sense commits herself to the truth of S. It is only that for the fictionalist this is truth in the relevant fiction. According to the indifferentist, by contrast, we are simply non-committal – or indifferent – with respect to some aspects of what is literally said in our assertive utterances

Vagueness, as discussed in the philosophical literature, is the phenomenon that paradigmatically rears its head in the sorites paradox, one prominent version of which is: One grain of sand does not make a heap. For any n, if n grains of sand do not make a heap, then n + 1 grains of sand do not make a heap. So, ten billion grains of sand do not make a heap. It is common ground that the different versions of the sorites paradox arise because of vagueness in a key expression, in this case ‘heap’. One central concern in the literature on vagueness is to find a solution to the sorites paradox. Vagueness also gives rise to borderline cases. Since ‘heap’ is a vague expression, ‘heap’ also gives rise to borderline cases: there are some possible entities such that they are neither clearly heaps nor clearly non-heaps, but instead are borderline heaps. Borderline cases can seem intuitively to present counter-examples to bivalence and the law of excluded middle . If Harry is a borderline case of baldness, ‘Harry is bald’ can seem neither true nor false, whence it presents doubts concerning bivalence. Similarly, one can find the corresponding instance of LEM, ‘Either Harry is bald or Harry is not bald’, suspect. There are three main theories that involve departures from bivalence, and two of them involve rejection of LEM as well. Standard three-valued logic invokes the idea of a third truth-value or truth-value gaps; fuzzy logic invokes the idea of continuum-many truth-values intermediate between truth and falsity. Both these views preserve truth-functionality. Traditional supervaluationism involves rejection of bivalence, but adherence to LEM. The idea is that if an expression is vague there is a range of precisifications associated with it, where, roughly, precisifications are ways the expression could be …

Numerous philosophical problems, otherwise quite different in character, are of the following form. Certain claims which seem not only obviously true, but even constitutive of the meanings of the expressions employed, can be shown to lead to absurdity when taken together. All such problems can justly be called paradoxes. The paradoxes I examine are the liar paradox, the sorites paradox, and the personal identity paradox posed by the fission problem. ;I argue that in these cases, the claims that jointly lead to absurdity really are constitutive of the meanings of the expressions employed, in the following ways. First, semantic competence with the expressions involves being disposed to accept these claims. Second, the claims are reference-determining, in that the semantic values of the expressions employed are constrained by the condition that these claims should come out true, or as nearly true as possible. If a claim or principle is constitutive of meaning in both of these ways, I call it meaning-constitutive. When the meaning-constitutive principles for some expressions of a language are inconsistent, I call the language inconsistent. This is a stipulative definition; but it accords well with what other theorists who have talked about languages being inconsistent, for example Alfred Tarski, have had in mind. ;In chapters one and two, I argue that our language is inconsistent. In chapter three, I relate my theses to Frank Jackson's and David Lewis's views on reference-determination. ;Another problem posed by the liar paradox concerns important theses in the philosophy of language. The liar reasoning shows that under certain conditions, a natural language cannot contain a predicate satisfying the T-schema. But many theses in the philosophy of language presuppose that truth satisfies the T-schema. In chapter four I attempt to resolve this conflict