The proof theory of many-valued systems has not been investigated to an extent comparable to the work done on axiomatizatbility of many-valued logics. Proof theory requires appropriate formalisms, such as sequent calculus, natural deduction, and tableaux for classical (and intuitionistic) logic. One particular method for systematically obtaining calculi for all finite-valued logics was invented independently by several researchers, with slight variations in design and presentation. The main aim of this report is to develop the proof theory of finite-valued first order (...) logics in a general way, and to present some of the more important results in this area. In Systems covered are the resolution calculus, sequent calculus, tableaux, and natural deduction. This report is actually a template, from which all results can be specialized to particular logics. (shrink)

Logic has pride of place in mathematics and its 20th century offshoot, computer science. Modern symbolic logic was developed, in part, as a way to provide a formal framework for mathematics: Frege, Peano, Whitehead and Russell, as well as Hilbert developed systems of logic to formalize mathematics. These systems were meant to serve either as themselves foundational, or at least as formal analogs of mathematical reasoning amenable to mathematical study, e.g., in Hilbert’s consistency program. Similar efforts continue, but have been (...) expanded by the development of sophisticated methods to study the properties of such systems using proof and model theory. In parallel with this evolution of logical formalisms as tools for articulating mathematical theories (broadly speaking), much progress has been made in the quest for a mechanization of logical inference and the investigation of its theoretical limits, culminating recently in the development of new foundational frameworks for mathematics with sophisticated computer-assisted proof systems. In addition, logical formalisms developed by logicians in mathematical and philosophical contexts have proved immensely useful in describing theories and systems of interest to computer scientists, and to some degree, vice versa. Three examples of the influence of logic in computer science are automated reasoning, computer verification, and type systems for programming languages. (shrink)

This study reconstructs the relationship between philosophy and politics in the way in which Heidegger's failure as a politician influenced the redevelopment of philosophy in the 1930s. The author also explains how Heidegger's failure influenced the content and direction of his later work.

Studies the politics of Heidegger in terms of "thrownness" or "existential contingency". Attempts to think through Heidegger's philosophy in a manner that parallels his own dialogue with other key western thinkers.

Textbook on Gödel’s incompleteness theorems and computability theory, based on the Open Logic Project. Covers recursive function theory, arithmetization of syntax, the first and second incompleteness theorem, models of arithmetic, second-order logic, and the lambda calculus.

Despite their differences in origin, the three influential schools of twentieth-century continental cultural criticism--the Frankfurt School, existentialism, and poststructuralism--have long been treated as an ensemble and with critical hesitancy. Examining these schools as responses to the apparent collapse of Western civilization in the twentieth-century and as formidable intellectual challenges to the cultural legacies of the Enlightenment, this book provides a productive base for criticism and broadens our understanding of their histories and reception.

In this paper I will argue that an epistemology of ignorance is a denial of relationality. Knowing is a series of practices. So is ignoring. And as practices, they are strategic. I have argued that knowing is a practice, of engagement or disengagement ("Practices of Knowing"), so is ignoring (Frye, Mills). I have argued that we need to recognize rationalities not countenanced in the dominant logic ("Resisting Rationality). And I have argued for disrupting the conceptual coercion of the dominant logic (...) as well as for uncertainty as a way of emerging from the form of life enacted through the mystification of dominant discourse ("Moving Toward Uncertainty"). In this paper I want to take up the question of relationality. From postions of power and the logic of oppression, an epistemology hides engagement and as a result erases contestation and resistance. From positions of marginalization and the logic of resistance, it resists coercive consensus. In both cases there is a denial of a certain kind of relationality. (shrink)

Having visited Ireland regularly during the 1930s, Ludwig Wittgenstein resigned his Cambridge philosophy professorship in 1947 and moved there, living in a fishing village on the Atlantic coast and hotels in Dublin and the Wicklow Mountains. Although Wittgenstein spent some time out of the country, Ireland was effectively his base for three very productive years during which he worked on what would become one of his key books, the posthumously published Philosophical Investigations. Wittgenstein in Ireland represents the first sustained account (...) of Wittgenstein's time in Ireland, placing it in its historical context. Wall pays a good deal of attention to the representation of the Irish landscape in which the Austrian philosopher found himself able to work; a large part of his writings were produced in the bleak landscapes of Ireland and Norway. (shrink)

Methods available for the axiomatization of arbitrary finite-valued logics can be applied to obtain sound and complete intelim rules for all truth-functional connectives of classical logic including the Sheffer stroke and Peirce’s arrow. The restriction to a single conclusion in standard systems of natural deduction requires the introduction of additional rules to make the resulting systems complete; these rules are nevertheless still simple and correspond straightforwardly to the classical absurdity rule. Omitting these rules results in systems for intuitionistic versions of (...) the connectives in question. (shrink)

Looking at work on advocacy research, this article raises concerns about researchers, exploring and illustrating four aspects of the Coloniality of Anglo-European knowledge practice possible in such research. It suggests that it is not because we are able to be scholars that we are positioned to develop knowledge of marginalized others; it is because of how we are positioned in relation to marginalized others that we are able to be scholars. This article ends with a suggestion for an epistemic shift.

This classic, provocative introduction to classical metaphysical questions focuses on appreciating the problems, rather than attempting to proffer answers.

Drawing on case studies from around the world - including Iran, Guatemala, USA and Mexico - this collection documents how transnational human rights discourses and legal institutions are materialised, imposed, resisted and transformed in a variety of contexts.

Written by a former student of Heidegger, this book examines the relationship between the philosophy and the politics of a celebrated teacher and the allure that Nazism held out for scholars committed to revolutionary nihilism.

In this study, Worsley argues that it is rational to believe in a loving God in the face of evil. Beginning with a critique of Alvin Plantinga, he shows that human freedom is highly complex, and so depends upon complex structures in nature. These are both necessary for freedom but also sufficient for natural evil. He offers close analysis of the evolution of the human brain. The book develops a parallel argument that human evil stems from the evolution of personality.

. History of the concept of economic efficiency . INTRODUCTION James Buchanan won the Nobel Prize by proving that the process by which elected officials ...

This open-ended anthology is a journey into the very canon that Mary Daly has argued to be patriarchal and demeaning to women. This volume deauthorizes the official canon of Western philosophy and disrupts a related story told by some feminists who claim that Daly’s work is unworthy of re-reading because it contains fatal errors. The editors and contributors attempt to prove that Mary Daly is located in the Western intellectual tradition. Daly may be highly critical of conventional Western epistemological and (...) theological traditions, but she nevertheless appropriates themes “out-of-context” for the building of her own systematic philosophy. The following are just a few of the many themes explored in this volume: • the question of subjectivity understood as an ongoing process of be-coming • the ambiguity of the need for feminists of colonial nations to speak out about violence against women in other parts of the world while that speaking carries with it the stamp of a colonial location • the territoriality of lesbian and women’s space • the theological dimensions of twentieth-century Western philosophy. Contributors are Wanda Warren Berry, Purushottama Bilimoria, Debra Campbell, Molly Dragiewicz, Frances Gray, Amber L. Katherine, AnaLouise Keating, Anne-Marie Korte, María Lugones, Geraldine Moane, Sheilagh A. Mogford, Laurel C. Schneider, Renuka Sharma, and Marja Suhonen. (shrink)

This book is the complete story of the creation of the universe, as it was understood by the ancient Egyptians. It is a collection of harmonic and radical 'Black Thoughts' and the pursuit of equality for all of this planet's inhabitants"--P. vii.

In Beyond Disruption: Technology's Challenge to Governance, experts from academia, media, government, and the military wrestle with understanding the nature of these technologies' threats to our societies and their great potential for our economies. In a series of vivid analyses and colorful commentary from a conference as Stanford University's Hoover Institution, the authors expand upon their first-hand interpretations of what's at stake for the global operating system in the midst of turbulent change. In the dynamic game of world order, it's (...) a primer for decision makers on where the puck is headed. (shrink)

This book gives a descriptive analysis of specific Madhyamika texts. It compares the ideology of Kumarajiva (a translator of the four Madhyamika treatises 400 A.D.) with the ideologies of the three Chinese contemporaries - HuiYuan, Seng-Jui and Seng-Chao. It envisages an intercultural transmission of religious and philosophical ideas from India to China.

Drawing on a passage from Ramsey's Truth and Probability, we formulate a simple, plausible constraint on evaluating the accuracy of credences: the Calibration Test. We show that any additive, continuous accuracy measure that passes the Calibration Test will be strictly proper. Strictly proper accuracy measures are known to support the touchstone results of accuracy-first epistemology, for example vindications of probabilism and conditionalization. We show that our use of Calibration is an improvement on previous such appeals by showing how it answers (...) or sidesteps problems that have been raised for previous work in this area. (shrink)

2010 Reprint of 1905 edition.This work is the magnum opus of Bucke's career, a project that he researched and wrote over many years. In it, Bucke described his own experience, that of contemporaries, and the experiences and outlook of historical figures including Buddha, Jesus, Paul, Plotinus, Muhammad, Dante, Francis Bacon, and William Blake. Bucke developed a theory involving three stages in the development of consciousness: the simple consciousness of animals; the self-consciousness of the mass of humanity ; and cosmic consciousness (...) - an emerging faculty and the next stage of human development. Among the effects of this progression, he believed he detected a lengthy historical trend in which religious conceptions and theologies had become less and less fearful. A classic work. (shrink)

Lesbian ethics is an ethics of resistance and creation. It is not a set of rules of right behavior or injunctions of duty and obligation or delineations of good character that one may find in utilitarian, deontologic, and virtue treatises. It is a liberatory conceptual journey which emerges from recognized contexts of oppression, and as such challenges some unstated assumptions of traditional Anglo‐European ethics. Lesbian ethics is an envisioning and discussion of possibilities, given lesbian lives, for a transformation of values. (...) As such it is not a matter of moral reform, a matter of preservation of and better adherence to existing values. It is a call for another type of moral change, moral revolution. (shrink)

The Intergovernmental Panel on Climate Change has developed a novel framework for assessing and communicating uncertainty in the findings published in their periodic assessment reports. But how should these uncertainty assessments inform decisions? We take a formal decision-making perspective to investigate how scientific input formulated in the IPCC’s novel framework might inform decisions in a principled way through a normative decision model.

Part I The Imperative Mood 'Virtue, then, is a disposition governing our choices '. ARISTOTLE, Eth. Nic. 36 Prescriptive Language. ...