Our ultimate purpose is to give an axiomatic treatment of recursion theory sufficient to develop the priority method. The direct or abstract approach is to keep in mind as clearly as possible the methods actually used in recursion theory, and then to formulate them explicitly. The indirect or experimental approach is to look first for other mathematical theories which seem similar to recursion theory, to formulate the analogies precisely, and then to search for an axiomatic treatment which covers not only (...) recursion theory but also the analogous theories as particular cases.The first approach is more general because it does not depend on the existence of analogues. A concrete mathematical theory, it seems, need have no such analogues and still be important, as e.g. classical number theory. In such a case, an axiomatic treatment may still be useful for exhibiting the mathematical structure of the theory considered and the assumptions on which it rests. However, it will lack one of the most heavily advertised advantages of the axiomatic method, namely, the “economy of thought” which results from an uniform theory for several different and interesting cases: we cannot hope for this if, by hypothesis, we know of only one particular case. In contrast, the second approach, if successful at all, is bound to achieve such “economy” because we start out with several interesting particular cases. Another possible virtue of the second approach is that of field work over insight: the abstract pattern that we are looking for and hoping to formalize in axioms, may not be evident in any one mathematical theory, but may spring to the eye if one happens to look simultaneously at several theories which happen to realize the pattern. (shrink)

Tracing a central theme of Plato's Republic , G. R. F. Ferrari reconsiders in this study the nature and purpose of the comparison between the structure of society and that of the individual soul. In four chapters, Ferrari examines the personalities and social status of the brothers Glaucon and Adeimantus, Plato's notion of justice, coherence in Plato's description of the decline of states, and the tyrant and the philosopher king—a pair who, in their different ways, break with the terms of (...) the city-soul analogy. In addition to acknowledging familiar themes in the interpretation of the Republic —the sincerity of its utopianism, the justice of the philosopher's return to the Cave—Ferrari provocatively engages secondary literature by Leo Strauss, Bernard Williams, and Jonathan Lear. With admirable clarity and insight, Ferrari conveys the relation between the city and the soul and the choice between tyranny and philosophy. City and Soul in Plato's Republic will be of value to students of classics, philosophy, and political theory alike. (shrink)

In this book G. W. Leibniz presents not only his reflections on predestination and election but also a more detailed account of the problem of evil than is found in any of his other works apart from the _Theodicy_. Surprisingly, his _Dissertation on Predestination and Grace_ has never before been published in any form. Michael J. Murray's project of translating, editing, and providing commentary for the volume will therefore attract great interest among scholars and students of Leibniz's philosophy and theology. (...) Leibniz addresses such topics as free will, moral responsibility, divine causation, justice, punishment, divine foreknowledge, and human freedom, revealing crucial aspects of the genesis of his mature metaphysics and the theological motivations behind it. (shrink)

Philosophers and logicians have long debated how best to understand conditional or hypothetical sentences. William G. Lycan has a distinctive approach to this debate, attending not just to the semantics of such sentences, but equally to their syntax. He shows how insights from linguistic theory help to illuminate problems about the meaning and function of conditionals. For instance, philosophers and logicians have had problems analysing the locutions 'only if', 'unless', and 'even if'. Lycan sets out a general semantic theory of (...) conditionals which works for all such sentences; he assigns meanings to them in a way that explains how and why those meanings depend upon features of utterance context. According to Lycan's theory the 'if'-clauses refer to items called 'events', 'circumstances', or 'conditions'.Real Conditionals gives at last the definitive presentation of this original approach to a topic at the intersection of philosophy, logic, and linguistics. Lycan's characteristically lively and witty expository style ensures that it can be enjoyed by readers from all three disciplines. (shrink)

G. E. R. Lloyd explores the amazing diversity of views that humans have held on being, humanity, and understanding. In a cross-cultural study that ranges from ancient to modern times, he asks how far we are bound by the conceptual systems to which we belong, and explores topics such as ontology, morality, philosophy of language, and communication.

G. E. Moore 's 1912 work Ethics has tended to be overshadowed by his famous earlier work Principia Ethica. However, its detailed discussions of utilitarianism, free will, and the objectivity of moral judgements find no real counterpart in Principia, while its account of right and wrong and of the nature of intrinsic value deepen our understanding of Moore 's moral philosophy. Moore himself regarded the book highly, writing late in his career, "I myself like [it] better than Principia Ethica, because (...) it seems to me to be much clearer and far less full of confusions and invalid arguments." Short but philosophically rich, and written with impressive precision and intellectual candor, Ethics is a minor classic which repays careful study. This new edition includes Moore 's essay "The Nature of Moral Philosophy" as well as editorial notes, an introduction, and a guide to further reading. (shrink)

The foregoing considerations support the conjecture that prototypes are semi-compositional in the sense that there exist unboundedly many combinations of nouns with non-exceptional adjectives, which satisfy the rule default-to-prototype and hence are compositional. Presumably there also exist unboundedly many combinations of nouns with exceptional adjectives, which violate DP and hence are non-compositional. An analysis of the connection between productivity and compositionality has been suggested by Robbins. He argues that, for the explanation of productivity, one need not assume that conceptual meanings (...) always compose—it is enough that they compose in infinitely many cases. Since semi-compositionality entails the existence of unboundedly many non-compositional cases, non-compositionality cannot be dealt away with a finite list of idiomatic exceptions, but is a genuine feature of prototype semantics in natural language. (shrink)

An alleged moral right to informational privacy assumes that we should have control over information about ourselves. What is the philosophical justification for this control? I think that one prevalent answer to this question—an answer that has to do with the justification of negative rights generally—will not do.

The practice of paternalism has changed along with developments in medicine, philosophy, law, sociology and psychology. Physicians have learned that a patient's values are a factor in determining what is best for that patient. Modern paternalism continues to be guided by the principle that the physician decides what is best for the patient and pursues that course of action, taking into account the values and interests of the patient. In the autonomy model of the doctor-patient relationship, patient values are decisive. (...) In the paternalistic model, they are but one among several factors the physician must consider in making a medical decision. Although difficult to practise because of limitations in empathising with another person, modern paternalism remains a way to achieve maximum patient benefit. (shrink)

We show that in 1929 Cartan and Einstein almost produced a theory in which the electromagnetic (EM) field constitutes the time-like 2-form part of the torsion of Finslerian teleparallel connections on pseudo-Riemannian metrics. The primitive state of the theory of these connections would not, and did not, permit Cartan and Einstein to realize how their torsion field equations contained the Maxwell system and how the Finslerian torsion contains the EM field. Cartan and Einstein discussed curvature field equations, though failing to (...) focus on the fact that teleparallelism automatically implies gravitational field equations with torsion terms as source, both in first and second order. We further show that the first-order contribution of the EM field to the source of the gravitational field may play havoc with the remeasurement of Newton's gravitational constant, even if the experiment is electrically grounded. These results are also used as support for the thesis that there is an alternative to the present way of dealing with the great theoretical questions of physics. On the practical side, the inconveniences faced in measuring G may be greatly compensated by the possibility of manipulating spacetime with electric fields at the first-order level. (shrink)

The first English translation of Fichte’s second set of 1804 lectures on the Wissenschaftslehre.

Although nature of science and nature of scientific inquiry are related to each other, they are differentiated as NOS is being more related to the product of scientific inquiry which is scientific knowledge whereas NOSI is more related to the process of SI. Lederman et al. determined eight NOSI aspects for K-16 context. In this study, a science camp was conducted to teach scientific inquiry and NOSI to 24 6th and 7th graders. The core of the program was guided inquiry (...) in nature. The children working in small groups under guidance of science advisors conducted four guided-inquiries in the nature in morning sessions on nearby plants, animals, water, and soil. NOSI aspects were made explicit during and at the end of each inquiry session. Views about scientific inquiry questionnaire was applied as pre- and post-test. The results of the study showed that children developed in all eight NOSI aspects, but higher developments were observed in “scientific investigations all begin with a question” and “there is no single scientific method,” and “explanations are developed from data and what is already known” aspects. It was concluded that the science camp program was effective in teaching NOSI. (shrink)

We tend to assume that our map of the intellectual disciplines is valid cross-culturally. G. E. R. Lloyd challenges this in relation to eight main areas of human endeavour, namely philosophy, mathematics, history, medicine, art, law, religion, and science, by examining how the disciplines were conceived and developed in different times and places.

This article focuses mainly on (1) the policy of Delft University of Technology since 1992 as regards the university-wide introduction of a compulsory course on ethics and engineering, and (2) the ideal structure of such a course, including the educational goals of the course.

J. L. A. Garcia holds that my defense of voluntary euthanasia in an earlier paper amounts to an "assault on traditional common sense" about what medical ethics permits physicians to do, particularly insofar as I hold that a physician's duty to abstain from intentionally killing is only a defeasible duty, not an unconditional one. But I argue here that it is Garcia's views that are more at odds with common sense, and that voluntary euthanasia is in fact a humane alternative (...) that respects patient autonomy and is consistent with the most fundamental moral duties of physicians. Among these is a duty to relieve suffering, which can sometimes outweigh the fundamental duty to conserve life. (shrink)

Modern science faces a series of problems that undermine confidence in its reliability. To solve these problems, we must reflect on what makes science work and what leads it astray. This book is about Science, its strengths and weaknesses. The papers that scientists write form a vast resource of evidence and theory that is doubling about every ten years, along with the number of scientists. The size of this resource makes it hard for it to be used effectively by scientists, (...) and along with this are growing concerns about its integrity and reliability. This book looks at the scientific method, as currently applied and as understood philosophically by scientists, the social structure of science, and the structure of scientific communication through journals. It includes case studies of controversies, and looks at how fields develop over time. (shrink)

G Langford; Education, Journal of Philosophy of Education, Volume 2, Issue 1, 30 May 2006, Pages 31–41, https://doi.org/10.1111/j.1467-9752.1968.tb00442.x.