This book describes a program of research in computable structure theory. The goal is to find definability conditions corresponding to bounds on complexity which persist under isomorphism. The results apply to familiar kinds of structures (groups, fields, vector spaces, linear orderings Boolean algebras, Abelian p-groups, models of arithmetic). There are many interesting results already, but there are also many natural questions still to be answered. The book is self-contained in that it includes necessary background material from recursion theory (ordinal notations, (...) the hyperarithmetical hierarchy) and model theory (infinitary formulas, consistency properties). (shrink)

In his celebrated masterpiece, Symposium, Plato imagines a high-society dinner-party in Athens in 416 BC at which the guests - including the comic poet Aristophanes and, of course, Plato's mentor Socrates - each deliver a short speech in praise of love. The sequence of dazzling speeches culminates in Socrates' famous account of the views of Diotima, a prophetess who taught him that love is our means of trying to attain goodness. And then into the party bursts the drunken Alcibiades, the (...) most popular and notorious Athenian of the time, who insists on praising Socrates himself rather than love, and gives us a brilliant sketch of this enigmatic character. The power, humour, and pathos of Plato's creation engages the reader on every page. This new translation is complemented by full explanatory notes and an illuminating introduction. (shrink)

"This edition, which replaces the original Loeb edition..., offers text, translation, and annotation that are fully current with modern scholarship"--Front flap of dust jacket, volume 1.

In this paper, I defend teleological theories of belief against the exclusivity objection. I argue that despite the exclusive influence of truth in doxastic deliberation, multiple epistemic aims interact when we consider what to believe. This is apparent when we focus on the processes involved in specific instances (or concrete cases) of doxastic deliberation, such that the propositions under consideration are specified. First, I out- line a general schema for weighing aims. Second, I discuss recent attempts to defend the teleological (...) position in relation to this schema. And third, I develop and defend my proposal that multiple epistemic aims interact in doxastic deliberation—a possibility which, as of yet, has received no serious attention in the literature. (shrink)

This edition of Martin Ostwald's revised version of J. B. Skemp's 1952 translation of _Statesman_ includes a new selected bibliography, as well as Ostwald's interpretive introduction, which traces the evolution in Plato's political philosophy from _Republic_ to _Statesman to Laws_--from philosopher-king to royal statesman.

The Statesman is Plato's neglected political work, but it is crucial for an understanding of the development of his political thinking. In some respects it continues themes from the Republic, particularly the importance of knowledge as entitlement to rule. But there are also changes: Plato has dropped the ambitious metaphysical synthesis of the Republic, changed his view of the moral psychology of the citizen, and revised his position on the role of law and institutions. In its presentation of the statesman's (...) expertise, the Statesman modifies, as well as defending in original ways, this central theme of the Republic. (shrink)

In this paper, I discuss whether different interpretations of the ‘aim’ of belief—both the teleological and normative interpretations—have the resources to explain certain descriptive and normative features of suspended belief (suspension). I argue that, despite the recent efforts of theorists to extend these theories to account for suspension, they ultimately fail. The implication is that we must either develop alternative theories of belief that can account for suspension, or we must abandon the assumption that these theories ought to be able (...) to account for suspension. To close, I briefly consider some of the reasons we have in favour of pursing each of these options, and I suggest that it is worth exploring the possibility that suspension is best understood as its own attitude, independently of theories of belief’s ‘aim’. (shrink)

_Verificationism_ is the first comprehensive history of a concept that dominated philosophy and scientific methodology between the 1930s and the 1960s. The verificationist principle - the concept that a belief with no connection to experience is spurious - is the most sophisticated version of empiricism. More flexible ideas of verification are now being rehabilitated by a number of philosophers. C.J. Misak surveys the precursors, the main proponents and the rehabilitators. Unlike traditional studies, she follows verificationist theory beyond the demise of (...) positivism to examine its reappearance in the work of modern philosophers. Most interestingly, she argues that despite feminism's strenuous opposition to positivism, verificationist thought is at the heart of much of contemporary feminist philosophy. _Verificationism_ is an excellent assessment of a major and influential system of thought. (shrink)

Christology seems to fall fairly clearly into two divisions. The first is concerned with the truth of the two propositions: ‘Christ is God’ and ‘Christ is a man’. The second is concerned with the mutual compatibility of these propositions. The first part of Christology tends to confine itself to what is sometimes called ‘positive theology’: that is to say, it is largely given over to examining the Jons revelationis —let us not prejudge currently burning issues by asking what this is—to (...) see what evidence can be found for the truth of these propositions. Clearly, the methods used will be above all those of New Testament exegesis. The second part of Christology will necessarily consist entirely of that speculative theology which is contrasted with positive theology. Even if the earliest speculation on this topic is to be found in the New Testament itself and thus becomes fair game for the exegetes, any attempt to relate the primary truths, ‘Christ is God’ and ‘Christ is a man’, to eachother is a work of reflection, and in the terminology I am using speculative. (shrink)

C.J. Bartley places Ramunuja in his intellectual context. This study is particularly concerned with Ramanuja's engagement with opposing schools of thought and practice, rendering it a valuable contribution to the history of Indian thought.

The construction of complex simulation models and the application of new computer hardware to ecological problems has resulted in the need for many ecologists to rely on computer programmers to develop their modelling software. However, this can lead to a lack of flexibility and understanding in model implementation and in resource problems for researchers. This paper presents a new programming language, Viola, based on a simple organisational concept which can be used by most researchers to develop complex simulations much more (...) easily than could be achieved with standard programming languages such as C++. The language is object oriented and implemented through a visual interface. It is specifically designed to cope with complicated individual based behavioural simulations and comes with embedded concurrency handling abilities. (shrink)

Kengo Miyazono, in his work Delusions and Beliefs, defends a teleo-functional account of delusions. In my contribution to this symposium, I question one of Miyazono’s motivations for appealing to teleo-functionalism over its main rival, dry-functionalism. Miyazono suggests that teleo-functionalism, unlike dry-functionalism, can account for the compatibility of the theses (i) that delusions are genuine doxastic states (doxasticism about delusions) and (ii) that delusions do not perform the typical causal roles of beliefs (the causal difference thesis). I argue, however, that there (...) are also ways for dry-functionalism to account for this compatibility. If what I have to say is correct, then Miyazono is perhaps too hasty—at least in one important respect—to opt for teleo-functionalism over dry-functionalism. Dry-functionalism has an equally good chance of satisfying some of Miyazono’s explanatory goals. (shrink)

We re-express a previous general result in a way which seems easier to remember, using the terminology of infinite games. We show how this can be applied to construct recursive linear orderings, showing, for example, that if there is a ▵ 0 2β + 1 linear ordering of type τ, then there is a recursive ordering of type ω β · τ.

One of the most extensive yet least conclusive methodological debates within religious studies revolves around the question of what, precisely, the phenomenology of religion is and what contribution it can make to the study of religion. I do not intend to answer this important question here. To do so satisfactorily would require a range of historical, philosophical and methodological inquiry which would go quite beyond the bounds of a single article. My intention in this paper is, by comparison, unambitious. It (...) is to take one view of what phenomenology of religion is and to consider an area outside that usually explored by students of religion which can, nonetheless, shed some light on how religions might be studied in a way which is in accordance with the phenomenology of religion so understood. What follows will offer an answer to the question of what contribution one particular understanding of phenomenology might make to the study of religion, but no attempt will be made to establish whether or not this particular understanding ought to be regarded as normative. (shrink)

A study in philosophical logic of the meaning of 'true'. Dr Williams demonstrates the shortcomings of various analyses which interpret 'true' as a predicate or truth as a relational property, and clears up a number of important points about propositions, quantification, definite descriptions and correspondence. This 'deflationary metaphysics' is interwoven with a positive theory of his own, which seeks to develop ideas about the late Arthur Prior. The work is marked throughout by great clarity, precision and thoroughness.

We extend results of Harizanov and Barker. For a relation R on a recursive structure /oA, we give conditions guaranteeing that the image of R in a recursive copy of /oA can be made to have arbitrary ∑α0 degree over Δα0. We give stronger conditions under which the image of R can be made ∑α0 degree as well. The degrees over Δα0 can be replaced by certain more general classes. We also generalize the Friedberg-Muchnik Theorem, giving conditions on a pair (...) of relations R and S under which the images of R and S can be made ∑α0 and independent over Δα0 in a recursive copy of /oA. (shrink)

In this paper we consider a natural generalization of the Principle of Instantial Relevance and give a complete characterization of the probabilistic belief functions satisfying this principle as a family of discrete probability functions parameterized by a single real δ ∊ [0, 1).

A study in philosophical logic of the meaning of 'true'. Dr Williams demonstrates the shortcomings of various analyses which interpret 'true' as a predicate or truth as a relational property, and clears up a number of important points about propositions, quantification, definite descriptions and correspondence. This 'deflationary metaphysics' is interwoven with a positive theory of his own, which seeks to develop ideas about the late Arthur Prior. The work is marked throughout by great clarity, precision and thoroughness.