Mr. A. F. Bentley in his Linguistic Analysis of Mathematics has attacked the problem of the “embedding language” of mathematics; “This essay” we read in the Foreword, “deals with the language of mathematics, including not only the mathematical symbols, but also those immediately surrounding forms of expressions and assertions through which the symbols are developed, communicated and interpreted. The writer seeks to establish a firm construction for this embedding language.” Inevitably, in the first instance this embedding language must be, (...) as he puts it, “every-day language”; but this is sadly inadequate: “The every-day language reeks with philosophies—the absolutisms of pointing. It shatters at every touch of advancing knowledge. At its heart is paradox… Mathematicians know this. Yet they feel ever the compulsion to interpret their mathematics in terms of every-day language. So proceeding, their harvest is super-paradox.” Yet the writer recognizes after all that “every-day language is the basal medium of communication between men,” even when we seek to “extend standards of symbolic consistency into the regions of the embedding language.”. (shrink)

This original book brings together some of the world's leading critics of economics orthodoxy to debate Lawson's contribution to the economics literature.

The author describes an interpreted modal language and produces some clear examples of logical and analytic truths that are not necessary. These examples: (a) are far simpler than the ones cited in the literature, (b) show that a popular conception of logical truth in modal languages is incorrect, and (c) show that there are contingent truths knowable ``a priori'' that do not depend on fixing the reference of a term.

It is proposed that the Darwinian theoretical approach and account of living systems has not yet been clearly given. A first approximation to this is attempted, focussing on behavior in evolving environments. A theoretical terminology is defined emphasizing the mutuality of organism and environment and the existence of biologically theoretical entities.

Omniscience is the divine attribute of possessing complete or unlimited knowledge. This article examines motivations for taking such a property to be a divine attribute, attempts to define or analyse omniscience, possible limitations on the extent of divine knowledge, and, finally, objections either to the coherence of the concept or to its compatibility with other divine attributes or with widely accepted claims.

The recent transnational wave of destruction that was caused by the earthquake-induced tsunamis in South East Asia has raised the issue of global justice in terms of the rights of victims to expect aid relief and the moral responsibility of the rest of the world to provide it. In this paper I will discuss the issue of global ethics in terms of positive rights that people have to assistance from others when they cannot provide such assistance themselves. The main object (...) of the paper is to demonstrate that positive rights are universal and global in scope and cannot therefore be restricted by any national, religious, cultural or other social boundaries. Such rights provide a rational and ethical foundation for global justice that is cosmopolitan. The argument for the position offered in the paper will be broadly based on the moral philosophy of Alan Gewirth.1. (shrink)

ABSTRACTWhat use does the jurist have for rules and principles? What relation does he or she have to the articulation of facts? This paper considers the position of facts and rules in the casuistry...

Introduction A Preliminary Look at the Scandal of Radical Realism: Direct and Indirect Knowing • This book is about the nature and scope of rationality, ...

The integration of ideas, methods, and data from diverse disciplines has been a transformative force in science and higher education, attracting policy interventions, program innovations, financial resources, and talented people. Much energy has been invested in producing a new generation of scientists trained to work fluidly across disciplines, sectors, and research problems, yet the success of such investments has been difficult to measure. Using the Integrative Graduate Education and Research Training (IGERT) program of the U.S. National Science Foundation as a (...) strategic research site, we conducted an experiment to determine whether and how the process and products of research of IGERT-trained scientists differ from those of scientists trained in disciplinary graduate programs. Among scientists in the early years of graduate study we found substantial and consistent differences suggesting that interdisciplinary training improved the quality and process of research, but this pattern was equally strongly reversed among students in the latter years of graduate study. Using systematic observation and other data we suggest why this might be so, then discuss the implications of these results for the design and conduct of graduate education and research. (shrink)

Global climate change raises profound questions for social and political theorists. The human impacts of climate change are sufficiently broad, and generally adverse, to threaten the rights and freedoms of existing and future members of all countries. These impacts will also exacerbate inequalities between rich and poor countries despite the limited role of the latter in their origins. Responding to these impacts will require the implementation of environmental and social policies that are both environmentally effective and consistent with the equality (...) and liberty of populations to which they are applied. This article considers whether global emissions trading, namely, the creation of a global market for tradable allowances conferring the right to emit a certain amount of greenhouse gas over a specified time period, is normatively defensible from a liberal egalitarian perspective. After a brief review of the theory and practice of emissions trading, a number of normative objections to the international trade in emissions allowances are analysed. These objections appeal to one, or a combination, of two claims. First, emissions trading schemes are likely to produce undesirable outcomes, such as environmental neglect, in the further future. I call these ‘instrumental objections’. Second, emissions trading schemes violate non‐consequential norms of justice and fairness. I call these ‘intrinsic objections’. It is argued that, when combined, instrumental and intrinsic objections indicate that instituting a global network of emissions trading schemes, as envisioned by a number of parties to the Kyoto Protocol and Copenhagen Accord, would be illegitimate in absence of significant procedural and consequential safeguards. (shrink)

A volume of studies in natural language semantics which brings together work by philosophers, logicians and linguists. The main topics treated are: quantification and reference in natural language; the relations between formal logic, programming languages and natural language; pragmatics and discourse meaning; surface syntax and logical meaning. The volume derives from a colloquium organised in 1973 by the Kings College Research Centre, Cambridge and the papers have been edited for publication by Professor Keenan. It is hoped that the collection will (...) make available some of the best work in this fast-moving field and will stimulate further progress by juxtaposing the different approaches and interests represented here. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Barrow and Newton E. W. STRONG As E. A. Buxrr HAS ADDUCED,Isaac Barrow (1630-1677) in his philosophy of space, time, and mathematical method strongly influenced the thinking of Newton: The recent publication of an early paper written by Newton (his De gravitatione et aequipondio fluidorum)2 affords evidence not known to Burtt of Newton's indebtedness in philosophy to Barrow, his teacher. Prior to its publication in 1962, this paper was (...) utilized by Alexandre Koyrd in his essay, "Newton and Descartes," 3 a study based on the third Horblit Lecture in the History of Science which he gave at Harvard University, March 8, 1961. Koyr8 maintains that there is a radical opposition in Newton's Principia not only to Descartes' purely scientific theories but also to the Cartesian philosophy. Yet, as he remarks, "we do not find in the Principia an open criticism of the philosophy of Descartes.... " He attributes this fact principally "to the very structure of the Principia: it is essentially a book on rational mechanics, which provides principles for physics and astronomy. In such a book there is a normal place for the discussion of Cartesian optics, but not of the conception of the relations of mind and body, and other such things." Koyrd asserts, nonetheless, that the criticism is not absent. It lurks in Newton's carefully worded definitions of fundamental concepts--those of space, time, motion, and matter--and becomes more apparent in the Optice of 1706 and in the second odition of the Principia. In support of this argument, he makes much of young Newton's unfini.~hed paper. He holds that this essay is of exceptional value "as it enables us to get some insight into the formation of Newton's thought, and to recognize that preoccupation with philosophic problems was not an external additatmentum but an integral dement of his thinking." 4 As concerns "young Newton's conception of space in its being and in its relation to God and time," Koyrd remarks that we learn from this essay The Metaphysical Foundations of Modern Physical Science (New York, 1927), p. 144. A. Rupert Hall and Marie Boas Hall, Unpublished Scientific Papers of Isaac Newton (Cambridge, 1962), Introduction, pp. 75-88; Latin text, pp. 90-121; English translation, pp. 121156. " Newtonian Studies (Harvard University Press, 1965), pp. 53-114. " Newtonian Studies, pp. 82-83. In his De gravitatione et aequipondio fluidorum, Newton is indeed engrossed with philosophic problems. With regard, however, to the announced purpose of his paper, namely, "to treat of the science of gravity and solid bodies in fluids by two methods," does Newton represent kis metaphysical "explanation of the nature of body" as an element of his science essential to its completeness7 He does not do so. At the end of his explanation he remarks: "I have already digressed enough; let us return to the main theme." He proceeds to set forth fifteen more definitions and then turns to the demonstration of two "Propositions on Non-Elastic Fluids." [155] 156 HISTORY OF PHILOSOPHY "that space is necessary, eternal, immutz~ble, and unmovable, that though we can imagine that there is nothing in space we cannot think space is not.., and that if there is no space, God would be nowhere. We learn also that all points of space are simultaneous and that, therefore, the divine omnipresence does not introduce composition in God.... " What we here learn from Newton about space in confutation of Descartes is to be found in Barrow's tenth mathematical lecture, "'Of Space, and Impenetrability." 5 In this lecture, Barrow opposes both Descartes and Hobbes. He objects, as does Newton, to the position taken by Descartes in his Principia Philosophiae, namely, "it is necessary.forMatter to be infinitely extended." He proceeds, as does Newton, to show how "very much Cartesius's great Subtility has failed him in this Case" to conclude that there is space empty of matter and distinct from magnitude from which an infinity of matter cannot be deduced. The correspondence of arguments tendered by Barrow and Newton indicates that the tenth lecture constituted a source from which Newton gleaned principal objections to Descartes' Principia Philosophiae. Although Koyr~ makes reference to Burtt's... (shrink)

One of the foundational texts of interpersonal psychoanalysis, _Prelogical Experience_ is a pioneering attempt to elaborate an interpersonal theory of personality that encompasses the nonpropositional, nonverbal dimension of human experience. Prelogical processes, the authors hold, cannot be consigned to infancy; rather they shape experience throughout life and are especially salient in relation to dreams, emotion, perception, and the arts. Of special note is Tauber and Green's elaboration of the clinical situation that grows out of an appreciation of prelogical experience. In (...) a striking anticipation of contemporary thinking, they approach patient-therapist interaction in terms of the continuous exchange of "presentational data" by patient and analyst. These data enable patient and therapist alike to "know" more about the other than can ever be expressed in propositional terms. This perspective assigns an important role to what Piaget would term "the cognitive unconscious" in the clinical process. It likewise sustains a view of the countertransference - which includes the analyst's own dreams - as a vital source of presentational data about the patient. As Donnel Stern notes in his Introduction, these and other insights "amount to a surprisingly contemporary description of psychoanalytic treatment.". (shrink)