In Plato on the Unity of the Virtues, Rod Jenks argues that while Plato makes several attempts to show how virtue is one, he deliberately fails to secure this because he thinks the way in which the virtues are both one and many is finally ineffable.

The author focuses on Plato's reliance on images as a way of communicating abstract doctrinal points to his audience.

This work is an introduction to logic, covering what is most commonly taught in the first term of a two-term sequence in logic at four-year colleges and universities. It is designed for use by community college students who plan to transfer credits to four-year institutions. The material covered seeks to maintain logic's place in philosophical thought systems, and avoids political examples in order to appeal to reason and study rather than ill-conceived jokes that often offend students' varying policitcal beliefs. This (...) work concludes with studies in proof constructions and rules and provides explanations of various grading decisions commonly made in logic courses, a unique feature helpful to students and teachers alike. (shrink)

Moral expertise in the Laches -- The Laches -- Socratic ignorance and socratic wisdom -- Vituperation -- Virtue and craft -- Expertise in the Charmides -- Ironies -- The definitions -- Quietness -- Modesty -- Doing or making one's own -- Doing, not making, one's own -- Doing good things -- Knowing oneself -- Knowledge of itself and all other knowledges -- Good, evil, and temperance -- Expertise in republic -- Preliminaries -- Republic viii -- The text -- Mathematical indeterminacy (...) -- Metaphysical necessity -- Justice "writ large" -- The most formidable question -- Preliminaries -- The context of the argument -- The most formidable argument itself -- The image -- Not knowing the things we know -- Attending to words -- Larger issues -- The third man argument. (shrink)

In the first chapter of The Contribution of Socratic Method and Plato’s Theory of Truth to Plato Scholarship, Rod Jenks argues that since Socrates and Plato take the Socratic elenchus to establish truths and the Socratic elenchus can only establish consistency, Socrates and Plato must be committed to a coherence theory of truth. Jenks denies any explicit recognition of such a commitment in Plato’s early dialogues. The claim is rather that “early Socratic practice as recorded by Plato makes (...) sense only against the backdrop of the assumption of a coherence theory of truth”. It is, according to Jenks, Plato’s solution to “the problem of the elenchus.” In the middle and later dialogues, Jenks argues, Plato exposes the philosophical foundations of this assumption and addresses various problems associated with it, only to return to the Socratic elenchus—now supported by a philosophically grounded CTT—in the Philebus. (shrink)

A step-by-step guide to develop your idea from the first spark to the finished product, with charming illustrations recalling the whimsy and imagination of childhood.

In Part 1 the reader is introduced to some standard systems of modal logic and encouraged through a series of exercises to become proficient in manipulating these logics. The emphasis is on possible world semantics for modal logics and the semantic emphasis is carried into the formal method, Jeffrey-style truth-trees. Standard truth-trees are extended in a simple and transparent way to take possible worlds into account. Part 2 systematically explores the applications of modal logic to philosophical issues such as truth, (...) time, processes, knowledge and belief, obligation and permission. Accessible, authoritative, and assured, Modal Logics and Philosophy requires no more background than the completion of a standard introductory logic course. It will be welcomed not only by students looking for a bridge between introductory logic texts and the high-level technical literature but as a guide to, and exploration of, work at the forefront of logic and philosophy. (shrink)

From the myths of the ancient world to the Middle Ages to Darwin and beyond, Preece captures the most telling and fascinating accounts of humankind's ...

The first edition, published by Acumen in 2000, became a prescribed textbook on modal logic courses. The second edition has been fully revised in response to readers' suggestions, including two new chapters on conditional logic, which was not covered in the first edition. "Modal Logics and Philosophy" is a fully comprehensive introduction to modal logics and their application suitable for course use. Unlike most modal logic textbooks, which are both forbidding mathematically and short on philosophical discussion, "Modal Logics and Philosophy" (...) places its emphasis firmly on showing how useful modal logic can be as a tool for formal philosophical analysis. In part 1 of the book, the reader is introduced to some standard systems of modal logic and encouraged through a series of exercises to become proficient in manipulating these logics. The emphasis is on possible world semantics for modal logics and the semantic emphasis is carried into the formal method, Jeffrey-style truth-trees. Standard truth-trees are extended in a simple and transparent way to take possible worlds into account. Part 2 systematically explores the applications of modal logic to philosophical issues such as truth, time, processes, knowledge and belief, obligation and permission. (shrink)

Despite the evidence showing the promise of HIV treatment as prevention (TasP) in reducing HIV incidence, a variety of ethical questions surrounding the implementation and “scaling up” of TasP have been articulated by a variety of stakeholders including scientists, community activists and government officials. Given the high profile and potential promise of TasP in combatting the global HIV epidemic, an explicit and transparent research priority-setting process is critical to inform ongoing ethical discussions pertaining to TasP.

Traces the development of recursive functions from their origins in the late nineteenth century to the mid-1930s, with particular emphasis on the work and influence of Kurt Gödel.

Philosophical arguments stemming from the public health ethics arena suggest that public health interventions ought to be subject to normative inquiry that considers relational values, including concepts such as solidarity, reciprocity and health equity. As yet, however, the extent to which ‘public’ values influence the ‘autonomous’ decisions of the public remains largely unexplored. Drawing on interviews with 50 men in Vancouver, Canada, this study employs a critical discourse analysis to examine participants’ decisions and motivations to voluntarily access HIV testing and/or (...) to accept a routine HIV test offer. Within a sub-set of interviews, a transactional discourse emerged in which the decision to test features an arrangement of ‘giving and receiving’. Discourses related to notions of solidarity emphasize considerations of justice and positions testing as a ‘public’ act. Lastly, ‘individualistic’ discourses focused on individual-level considerations, with less concern for the broader public ‘good’. These findings underscore how normative dimensions pertaining to men’s decisions to test are dialectically interrelated with the broader social and structural influences on individual and collective health-related behaviour, thereby suggesting a need to advance an explicit empirical-normative research agenda related to population and public health intervention research. (shrink)

First Published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.

1. Bd. Von Kant bis Hegel.--2. Bd. Von Marx bis zur Gegenwart.

Ever since Saul Kripke and others developed a semantic interpretation for modal logic, 'possible worlds' has been a much debated issue in contemporary metaphysics. To propose the idea of a possible world that differs in some way from our actual world - for example a world where the grass is red or where no people exist - can help us to analyse and understand a wide range of philosophical concepts, such as counterfactuals, properties, modality, and of course, the notions of (...) possibility and necessity. This book examines the ways in which possible worlds have been used as a framework for considering problems in logic and argument analysis. The book begins with a non-technical introduction to the basic ideas of modal logic in terms of Kripke's possible worlds and then moves on to a discussion of 'possible for' and 'possible that'. The central chapters examine questions of meaning, epistemic possibility, temporal logic, metaphysics, and impossibility. Girle also investigates how the idea of a possible world can be put to use in different areas of philosophy, the problems it may raise, and the benefits that can be gained. (shrink)

Ever since Saul Kripke and others developed a semantic interpretation for modal logic, 'possible worlds' has been a much debated issue in contemporary metaphysics. To propose the idea of a possible world that differs in some way from our actual world - for example a world where the grass is red or where no people exist - can help us to analyse and understand a wide range of philosophical concepts, such as counterfactuals, properties, modality, and of course, the notions of (...) possibility and necessity. This book examines the ways in which possible worlds have been used as a framework for considering problems in logic and argument analysis. The book begins with a non-technical introduction to the basic ideas of modal logic in terms of Kripke's possible worlds and then moves on to a discussion of 'possible for' and 'possible that'. The central chapters examine questions of meaning, epistemic possibility, temporal logic, metaphysics, and impossibility. Girle also investigates how the idea of a possible world can be put to use in different areas of philosophy, the problems it may raise, and the benefits that can be gained. (shrink)

We prove that there exists a noncomputable c.e. real which is low for weak 2-randomness, a definition of randomness due to Kurtz, and that all reals which are low for weak 2-randomness are low for Martin-Löf randomness.

Hysteresis means literally “that which comes later,” being derived from the Greek verb ύστερέω. Thus, hysteresis effects, generally defined, are those that persist after the initial causes giving rise to the effects are removed. During the course of the 1980s, it became increasingly fashionable to invoke hysteresis effects to explain economic phenomena. Two of the main areas of application were to unemployment and international trade. In the case of unemployment, distinctive features of labor markets, such as social norms that rule (...) out wage-cutting in the face of rising unemployment, imply that “increases in unemployment have a direct impact on the ‘natural’ rate of unemployment”. The implication for macroeconomic systems is that “temporary shocks can have a permanent effect on the level of employment”. In the case of international trade, hysteresis effects arise from the industrial economics of sunk costs: “the argument is that firms must incur sunk costs to enter new markets, and cannot recoup these costs if they exit.… thus foreign firms that entered the U.S. market when the dollar was high do not abandon their sunk cost investments when the dollar falls.” The implication for trade flows is “an effect which persists after the cause that brought it about has been removed”. (shrink)

We argue that the Soros account of reflexivity does not provide a clear-cut distinction between a social science such as economics and the physical sciences. It is pointed out that the participants who attempt to learn from refutations of conjectures in the Soros world are likely to be haunted by the Duhem–Quine problem of conjointness of hypotheses and unfocused refutation. On a more constructive note, we argue that models of inductive learning, in which participants form conjectures on the basis of (...) strictly limited information sets, can capture the basic thrust of the Soros position. The conjectures are in motion, as the participants attempt to avoid those that are systematically wrong, and there is something vague and uncertain about what can be learned from experience and refutations. The only notion of market efficiency in this world is one contingent on the strictly limited and varied information sets in play. Finally we present a mathematical model and numerical simulations that help justify the causal relationship between reflexivity and far-from-equilibrium dynamics postulated by Soros. (shrink)

A common contemporary view is that the Bible and subsequent Christian thought authorize humans to exploit animals purely as means to human ends. This paper argues that Biblical and Christian thought have given rise to a more complex ethic of animal use informed by its pastoralist origins, Biblical pronouncements that permit different interpretations, and competing ideas and doctrines that arose during its development, and influenced by the rich and often contradictory features of ancient Hebrew and Greco-Roman traditions. The result is (...) not a uniform ethic but a tradition of unresolved debate. Differing interpretations of the Great Chain of Being and the conflict over animal experimentation demonstrate the colliding values inherent in the complex history of Biblical and Christian thought on animals. (shrink)

Contrary to conventional wisdom, the earlier Western tradition did not customarily deny souls per se to nonhuman animals; when it denied immortal souls to animals, it sometimes deemed that denial a reason for giving greater consideration to animals in their earthly existence. Nor has the Western tradition uniformly deemed animals intended for human use. Further, there was considerable opposition to the Cartesian view of animals as insentient machines, and—even among those who were convinced—it was not unknown for them to deem (...) it inappropriate to rely on that conviction in the treatment of animals. Moreover, Darwin's theory of evolution had neither a novel nor a positive impact on the way in which animals were to be regarded and treated. The study of the history of animal ethics needs to be rethought in a far more nuanced manner. (shrink)

Secondary English is a comprehensive introduction to the theory and practice of teaching English in secondary schools for pre-service teachers. Written by highly accomplished English teachers, the book's practical approach to language, literacy and literature, fosters the skills of assessment, unit planning and teaching strategies.

We characterize the class of c.e. degrees that bound a critical triple as those degrees that compute a function that has no ω-c.e. approximation.