In this article, Lucas maintains the falseness of Mechanism - the attempt to explain minds as machines - by means of Incompleteness Theorem of Gödel. Gödel’s theorem shows that in any system consistent and adequate for simple arithmetic there are formulae which cannot be proved in the system but that human minds can recognize as true; Lucas points out in his turn that Gödel’s theorem applies to machines because a machine is the concrete instantiation of a formal system: therefore, for (...) every machine consistent and able of doing simple arithmetic, there is a formula that it can’t produce as true but that we can see to be true, and so human minds and machines have to be different. Lucas considers as well in this article some possible objections to his argument: for any Gödelian formula we could, for instance, construct a machine able to produce it or we could put the Gödelian formulae that we had proved as axioms of a further machine. However - as Lucas underlines - for every of such machines we could again formulate another Gödelian formula, the Gödelian formula of these machines, that they are not able to proof but that we can recognize as true. More general arguments, such as the possibility to escape Gödelian argument by suggesting that Gödel’s theorem applies to consistent systems while we could be inconsistent ones, are moreover refuted by Lucas by maintaining that our inconsistency corresponds to occasional malfunctioning of a machine and not to his normal inconsistency; indeed, a inconsistent machine is characterized by producing any statement, on the contrary human being are selective and not disposed to assert anything. (shrink)

We extend the theory of “Fine structure and iteration trees” to models having more than one Woodin cardinal.

In this paper I focus on the limits of narrative by asking what kinds of things narratives do, and what kinds of texts do related things in other ways. In particular I focus on how narrative genres organise time in relation to value, drawing on functional linguistic models of temporality and evaluation. From a linguistic perspective, the various narrative genres negotiate different kinds of solidarity with listeners, and so the limits of narrative materialise various possibilities for communing in a culture, (...) alongside the potentialities for construing community through related and other genres of discourse—since in general, the limits/possibilities of our language (and attendant modalities of communication) are the limits/possibilities of our social world. (shrink)

Vagueness is epistemic, according to some. Vagueness is ontological, according to others. This article deploys what I take to be a compromise position. Predicates are coined in specific contexts for specific purposes, but these limited practices do not automatically fix the extensions of predicates over the domain of all objects. The linguistic community using the predicate has rarely considered, much less decided, all questions that might arise about the predicate’s extension. To this extent, the ontological view is correct. But a (...) predicate that applies in some contexts can be reasonably extended to other contexts where it is initially vague. This process of development approximates the cognitive remedy for vagueness that the epistemic view prescribes. The process is piecemeal and inductive, akin to what von Wright described as the molding of concepts. Vagueness cannot be understood apart from the backdrop of classification, for vagueness is classification gone awry. Hence these pages explore the classification of particulars, both its clear successes and vague failures. How we classify unique particulars is the theme of Sections 2 and 3, which are primarily descriptive. Section 2 identifies a way of classifying particulars that pervades discourse of all sorts, and Section 3 illustrates its use in a field notorious for vagueness: ethics. Why a certain particular should (or should not) be classified in a certain way is a normative question, however, and it occupies Sections 4 and 5. Section 4 proposes a norm for strong arguments by analogy, and Section 5 illustrates how the norm might resolve vagueness in one kind of ethical dispute. This norm, which has a strong probabilistic component, is one way of affirming that probability is a guide to life. (shrink)

Are interpersonal comparisons of desire possible? Can we give an account of how facts about desires are grounded that underpins such comparisons? This paper supposes the answer to the first question is yes, and provides an account of the nature of desire that explains how this is so. The account is a modification of the interpretationist metaphysics of representation that the author has recently been developing. The modification is to allow phenomenological affective valence into the “base facts” on which correct (...) interpretation is grounded. To use this extra resource within that theory to vindicate interpersonal comparisons, we will need to appeal rational connections between level of valence and level of desire, which this paper sets out and examines. (shrink)

In a recent article, C. H. Kahn addresses an ‘old scholarly myth’, namely the idea that Book I of the Republic began life as an earlier, independent dialogue and was subsequently adapted to serve as a prelude to the much longer work that we know. The case for this hypothesis rests both on stylometric considerations and on the many ‘Socratic’ features that Book I, unlike the rest of the Republic, shares with Plato's earlier works. Having disposed of the positive arguments (...) in favour of the ‘myth’, Kahn turns to the contrary—and in his view overwhelming—evidence that Book I was composed from the start as an integral part of the longer Republic. He catalogues 12 passages in Book I, accounting for roughly half its length, whose full significance will, he argues, only emerge if they are seen as instances of prolepsis, deliberate anticipations of what is to come in later books. (shrink)

It is human nature to try to recognize patterns and to make sense of that which we observe. Unfortunately, our intuition is often wrong, and so there is a need to impose some objectivity on the methods by which observations are converted into knowledge. One definition of biostatistics could be precisely this, the rigorous and objective conversion of medical and/or biological observations into knowledge. Both consumers of biostatistical principles and biostatisticians themselves vary in the extent to which they recognize the (...) need to continue the improvement. Some may not recognize the need for (some or all of) the methods that have already been developed; others may accept these as they find them completely sufficient; still others recognize both the value and the shortcomings of these methods, and seek to develop even better methods to ensure that future medical conclusions are less subject to biases than current ones are. (shrink)

The author of the acclaimed Gay Fiction Speaks brings us new interviews with twelve prominent gay writers who have emerged in the last decade. Hear Us Out demonstrates how in recent decades the canon of gay fiction has developed, diversified, and expanded its audience into the mainstream. Readers will recognize names like Michael Cunningham, whose Pulitzer Prize-winning novel The Hours inspired the hit movie; and others like Christopher Bram, Bernard Cooper, Stephen McCauley, and Matthew Stadler. These accounts explore the vicissitudes (...) of writing on gay male themes in fiction over the last thirty years--prejudices of the literary marketplace; social and political questions; the impact of AIDS; commonalities between gay male and lesbian fiction... and even some delectable bits of gossip. (shrink)

‘The similes of the Sun, Line, and Cave in the Republic remain a reproach to Platonic scholarship because there is no agreement about them, though they are meant to illustrate.’ So wrote A.S. Ferguson in 1934, and so he could write to-day. Four decades have produced at least twenty more substantial contributions to the debate, but no agreement. I shall not attempt to arbitrate between existing interpretations, nor shall I offer an account of the ‘simile of light’ as a whole. (...) I shall confine my attention to a single point: the significance of the shadows in the cave, and of the objects which cast them. The suggestion I shall make seems an obvious one, but I have not found it in the literature. I hope to show at least that it deserves serious consideration. (shrink)