Many contemporary metaphysicians believe that the existence of a contingent object such as Socrates metaphysically explains the existence of the corresponding set {Socrates}. This paper argues that this belief is mistaken. The argument proposed takes the form of a dilemma. The expression “{Socrates}” is a shorthand either for the expression “the set that contains all and only those objects that are identical to Socrates” or for the expression “the set that contains Socrates and nothing else”. However, Socrates' existence does not (...) explain the existence of the set that contains all and only those objects that are identical to Socrates, because there is such a set no matter whether or not Socrates exists. And although Socrates' existence does explain that of the set that contains Socrates and nothing else, this explanation is a conceptual rather than a metaphysical one. Both these claims rely on a deflationary account of the use of set theoretic vocabulary that is explained, though not properly justified, in the paper. (shrink)

Is it possible to characterize the sortal essence of Fs for a sortal concept F solely in terms of a criterion of identity C for F? That is, can the question ‘What sort of thing are Fs?’ be answered by saying that Fs are essentially those things whose identity can be assessed in terms of C? This paper presents a case study supporting a negative answer to these questions by critically examining the neo-Fregean suggestion that cardinal numbers can be fully (...) characterized as those things whose identity can be assessed in terms of one-one correspondence between concepts. (shrink)

According to Hume’s principle, a sentence of the form ⌜The number of Fs = the number of Gs⌝ is true if and only if the Fs are bijectively correlatable to the Gs. Neo-Fregeans maintain that this principle provides an implicit definition of the notion of cardinal number that vindicates a platonist construal of such numerical equations. Based on a clarification of the explanatory status of Hume’s principle, I will provide an argument in favour of a nominalist construal of numerical equations. (...) The neo-Fregean objections to such a construal will be examined and rejected. And the implications of the nominalist construal for the use of numerals and for the understanding of ontological questions for the existence of numbers will be spelled out. (shrink)

Once a standard tool in the epistemologist’s kit, the analytic/synthetic distinction was challenged by Quine and others in the mid-twentieth century and remains controversial today. But although the work of a lot contemporary philosophers touches on this distinction – in the sense that it either has consequences for it, or it assumes results about it – few have really focussed on it recently. This has the consequence that a lot has happened that should affect our view of the analytic/synthetic distinction, (...) while little has been done to work out exactly what the effects are. All these features together make the topic ideal for either a survey or research seminar at the graduate level: it can provide an organising theme which justifies a spectrum of classic readings from Locke to Williamson, passing though Kant, Frege, Carnap, Quine and Kripke on the way, but it could also provide an excuse for a much more narrowly construed research seminar which studies the consequences of really contemporary philosophy of language and linguistics for the distinction. (shrink)

Ce texte discute certaines conclusions d’un article récent de F. Mülhölzer et vise à montrer que le logicisme russellien a les moyens de résister à la critique que Wittgenstein lui adresse dans la partie III des Remarques sur les fondements desmathématiques.This paper discusses some conclusions of a recent article from F.Mülhölzer. It aims at showing that Russell’s logicism has the means to overcome the criticisms Wittgenstein expounded in Remarks on the Foundations of Mathematics, part III.