In his critique of Anselm’s ontological argument for God’s existence, William Rowe introduces the concepts of “magico” and “magican” — defining “magicos” as magicians that do not exist, and “magicans” as magicians that do exist — to help diagnose what may have gone wrong in Anselm’s argument. As I made my way through Rowe’s intriguing article, I found myself waiting for “Godo” — and for “Godan.” I expected Rowe to invoke these counterparts to his “magico” and “magican” — a (...) non-existing God to correspond to his non-existing magician, and an existing God to correspond to his existing magician — to complete his argument. Alas, like Vladimir and Estragon, I waited in vain: neither Godo — nor Godan — ever appeared. In what follows I shall argue that their inclusion in Rowe’s argument would have settled the matter against Anselm far more decisively than do Rowe’s forays into the murky waters of question-begging. (shrink)

In the present paper we show that any at most countable linearly-ordered commutative residuated lattice can be embedded into a commutative residuated lattice on the real unit interval [0, 1]. We use this result to show that Esteva and Godo''s logic MTL is complete with respect to interpretations into commutative residuated lattices on [0, 1]. This solves an open problem raised in.

This paper sheds new light on the subtle relation between probability and logic by (i) providing a logical development of Bruno de Finetti's conception of events and (ii) suggesting that the subjective nature of de Finetti's interpretation of probability emerges in a clearer form against such a logical background. By making explicit the epistemic structure which underlies what we call Choice-based probability we show that whilst all rational degrees of belief must be probabilities, the converse doesn't hold: some probability values (...) don't represent decision-relevant quantifications of uncertainty. (shrink)

A simple complete axiomatic system is presented for the many-valued propositional logic based on the conjunction interpreted as product, the coresponding implication (Goguen's implication) and the corresponding negation (Gödel's negation). Algebraic proof methods are used. The meaning for fuzzy logic (in the narrow sense) is shortly discussed.

The present paper deals with the predicate version MTL of the logic MTL by Esteva and Godo. We introduce a Kripke semantics for it, along the lines of Ono''s Kripke semantics for the predicate version of FLew (cf. [O85]), and we prove a completeness theorem. Then we prove that every predicate logic between MTL and classical predicate logic is undecidable. Finally, we prove that MTL is complete with respect to the standard semantics, i.e., with respect to Kripke frames on (...) the real interval [0,1], or equivalently, with respect to MTL-algebras whose lattice reduct is [0,1] with the usual order. (shrink)

The monoidal t-norm based logic MTL is obtained from Hájek''s Basic Fuzzy logic BL by dropping the divisibility condition for the strong (or monoidal) conjunction. Recently, Jenei and Montgana have shown MTL to be standard complete, i.e. complete with respect to the class of residuated lattices in the real unit interval [0,1] defined by left-continuous t-norms and their residua. Its corresponding algebraic semantics is given by pre-linear residuated lattices. In this paper we address the issue of standard and rational completeness (...) (rational completeness meaning completeness with respect to a class of algebras in the rational unit interval [0,1]) of some important axiomatic extensions of MTL corresponding to well-known parallel extensions of BL. Moreover, we investigate varieties of MTL algebras whose linearly ordered countable algebras embed into algebras whose lattice reduct is the real and/or the rational interval [0,1]. These embedding properties are used to investigate finite strong standard and/or rational completeness of the corresponding logics. (shrink)

The monoidal t-norm based logic MTL is obtained from Hájek's Basic Fuzzy logic BL by dropping the divisibility condition for the strong conjunction. Recently, Jenei and Montgana have shown MTL to be standard complete, i.e. complete with respect to the class of residuated lattices in the real unit interval [0, 1] defined by left-continuous t-norms and their residua. Its corresponding algebraic semantics is given by pre-linear residuated lattices. In this paper we address the issue of standard and rational completeness of (...) some important axiomatic extensions of MTL corresponding to well-known parallel extensions of BL. Moreover, we investigate varieties of MTL algebras whose linearly ordered countable algebras embed into algebras whose lattice reduct is the real and/or the rational interval [0, 1]. These embedding properties are used to investigate finite strong standard and/or rational completeness of the corresponding logics. (shrink)

In this paper we provide a finite axiomatization (using two finitary rules only) for the propositional logic (called $L\Pi$ ) resulting from the combination of Lukasiewicz and Product Logics, together with the logic obtained by from $L \Pi$ by the adding of a constant symbol and of a defining axiom for $\frac{1}{2}$ , called $L \Pi\frac{1}{2}$ . We show that $L \Pi \frac{1}{2}$ contains all the most important propositional fuzzy logics: Lukasiewicz Logic, Product Logic, Gödel's Fuzzy Logic, Takeuti and Titani's (...) Propositional Logic, Pavelka's Rational Logic, Pavelka's Rational Product Logic, the Lukasiewicz Logic with $\Delta$ , and the Product and Gödel's Logics with $\Delta$ and involution. Standard completeness results are proved by means of investigating the algebras corresponding to $L \Pi$ and $L \Pi \frac{1}{2}$ . For these algebras, we prove a theorem of subdirect representation and we show that linearly ordered algebras can be represented as algebras on the unit interval of either a linearly ordered field, or of the ordered ring of integers, Z. (shrink)

ABSTRACT The term fuzzy logic has two different meanings -broad and narrow. In Zadeh's opinion, fuzzy logic is an extension of many- valued logic but having a different agenda—as generalized modus ponens, max-min inference, linguistic quantifiers etc. The question we address in this paper is whether there is something in Zadeh's specific agenda which cannot be grasped by “classiceli”, “traditional” mathematical logic. We show that much of fuzzy logic can be understood as classical deduction in a many-sorted many-valued Pavelka- Lukasiewicz (...) style rational quantification logic. This means that, besides the linguistic or approximation aspects, the logical aspect is present too and can be made explicit. (shrink)

Betting methods, of which de Finetti's Dutch Book is by far the most well-known, are uncertainty modelling devices which accomplish a twofold aim. Whilst providing an interpretation of the relevant measure of uncertainty, they also provide a formal definition of coherence. The main purpose of this paper is to put forward a betting method for belief functions on MV-algebras of many-valued events which allows us to isolate the corresponding coherence criterion, which we term coherence in the aggregate. Our framework generalises (...) the classical Dutch Book method. (shrink)

ABSTRACTIn this paper, we consider non-associative generalisations of Hájek's logics BL and psBL. As it was shown by Cignoli, Esteva, Godo, and Torrens, the former is the logic of continuous t-norms and their residua. Botur introduced logic naBL which is the logic of non-associative continuous t-norms and their residua. Thus, naBL can be viewed as a non-associative generalisation of BL. However, Botur has not presented axiomatization of naBL. We fill this gap by constructing an adequate Hilbert-style calculus for naBL. (...) Although, as was shown by Flondor, Georgescu, and Iorgulescu, there are no non-commutative continuous t-norms, Hájek's psBL can be viewed as BL's non-commutative generalisation. We present the logic psnaBL of psnaBL-algebras which can be viewed as naBL's non-commutative generalisation as well as psBL's non-associative generalisation and BL's both non-commutative and non-associative generalisation. (shrink)

In this highly original account of Bishop George Berkeley's epistemological and metaphysical theories, George S. Pappas seeks to determine precisely what doctrines the philosopher held and what arguments he put forward to support them. Specifically, Pappas overturns accepted opinions about Berkeley's famous attack on the Lockean doctrine of abstract ideas. Berkeley's criticism of these ideas had been thought relevant only to his views on language and to his nominalism; Pappas persuasively argues that Berkeley's ideas about abstraction are crucial to nearly (...) all of the fundamental principles that he defends. Pappas demonstrates how an adequate appreciation of Berkeley's views on abstraction can lead to an improved understanding of his important principle of esse is percipi, and of the arguments Berkeley proposes in support of this principle. Pappas also takes up Berkeley's widely rejected claim to be a philosopher of common sense. He assesses the validity of this self-description and considers why Berkeley might have chosen to align himself with a commonsense position. Pappas shows how three core concepts—abstraction, perception, and common sense—are central to and interdependent in the work of one of the major figures of early modern Western thought. (shrink)

The ŁΠ and logics were introduced by Godo, Esteva and Montagna. These logics extend many other known propositional and predicate logics, including the three mainly investigated ones (Gödel, product and Łukasiewicz logic). The aim of this paper is to show some advances in this field. We will see further reduction of the axiomatic systems for both logics. Then we will see many other logics contained in the ŁΠ family of logics (namely logics induced by the continuous finitely constructed t-norms (...) and Takeuti and Titani's fuzzy predicate logic). (shrink)

This article tells the empirical story of women from seven villages of Kwale, the most southeastern county in the Coast Province of Kenya that borders with Tanzania—Lunga Lunga, Godo, Perani, Umoja, Maasailand, Mpakani and Jirani—as they searched for community health, equity, gender equality and peace on their own terms. This article shows that creative health initiatives can be successfully used as mechanisms for peace building. Since 2010, the Nikumbuke-Health by All Means projects from the University of Madison-Wisconsin in the (...) United States, have trained 57 health promoters and 32 female actors on disease prevention and health promotion that have outreached approximately 120,000 inhabitants around the county enhancing unity in diversity, and breaking down the walls of ethnic hostilities and prejudice. Because of its low cost and high effectivity, the United Nations awarded N-HbAM[1] the 2013 Public Service Award as a model of best practice in gender, community development and sustainable wellbeing. [1] In 2013, at the time of the UNPS Award the projects were still called Nikumbuke-Health by Motorbike. The name was changed in 2018 as the projects broadened in scope and geographical location. (shrink)

First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

This paper examines the relationships between the many-valued logics G~ and Gn~ of Esteva, Godo, Hajek, and Navara, i.e., Godel logic G enriched with Łukasiewicz negation, and neighbors of intuitionistic logic. The popular fragments of Rauszer's Heyting-Brouwer logic HB admit many-valued extensions similar to G which may likewise be enriched with Łukasiewicz negation; the fuzzy extensions of these logics, including HB, are equivalent to G ~, as are their n-valued extensions equivalent to Gn~ for any n ≥ 2. These (...) enriched systems extend Wansing's logic I4C4, showing that Łukasiewicz negation is a species of Nelson's negation of constructible falsity and yielding a Kripke-style semantics for G~ and Gn~ to complement the many-valued semantics. (shrink)

This book is a succinct guide to Søren Kierkegaard’s contribution to educational thought. Kierkegaard is not usually known as an educational thinker, but the book shows how his key notions and ideas are nevertheless highly relevant to educational theory and practice. It places them within the context of Kierkegaard’s philosophy and the philosophy of his time, while also exploring their significance to issues of contemporary concern, like the question of how far education should aim at fostering useful skills or support (...) more ambitious goals. The central topics are Kierkegaard’s diagnosis of the limitations of objective knowledge and his corresponding emphasis on know-how, personal appropriation and subjective attitude; his analysis of more or less successful forms of self-realization; his ideas about fostering personal development through “indirect communication” and dialogue; and the elements, strengths and shortcomings of the ideal of self-cultivation. (shrink)

A layman's guide to the mechanics of Gödel's proof together with a lucid discussion of the issues which it raises. Includes an essay discussing the significance of Gödel's work in the light of Wittgenstein's criticisms.

This book presents the first detailed account of Werner Heisenberg’s failed attempt to find a theory of everything in the autumn of his career. It further investigates what we can learn from his failure in relation to the search for a final theory of physics, an endeavour that continues to define research in fundamental physics to this day. Thereby it provides the first historically informed contribution to the current debate on post-empirical physics and the state of particle physics.

This book presents a new and radical interpretation of some of Martin Heidegger’s most influential texts. The unfamiliar interpretations all seek to question and unframe hasty assessments of the concepts and constellations of thoughts surrounding Heidegger’s notion of modern technology.

Clarke proposes a conception of philosophy that provides an alternative to the reductions of materialism and the search for normative principles. Philosophy's proper role is to describe similarities and differences among differing levels of language, specifically the familiar level of discourse within an ordinary language shared by all and the specialized discourses of social institutions such as science, law, and the arts. By constructing a logical framework in which these comparisons and contrasts can be made, philosophy performs the indispensable role (...) of promoting the integration of disparate elements of our culture. (shrink)

One of the greatest of modern philosophers, on a par with his contemporary John Locke, Leibniz was born in Leipzig in 1646, died in Hanover in 1716. He was a leading figure in European intellectual circles, and the founder of the Academy of Berlin. His strange, complex metaphysical system established him as the third of the great 'Rationalists', after Descartes and Spinoza. Along with the 'New System', his most famous philosophical works are the Discourse of Metaphysics and Monadology. He also (...) made important contributions to logic, mathematics, theology, jurisprudence, and history.Gathered here for the first time are all the key texts in a crucial debate in modern philosophy, centred on Leibniz's famous 1695 essay, the `New System of the Nature of Substances and their Communication'. In this classic essay Leibniz introduced to a broad European readership the strikingly original metaphysical ideas he had come to a decade earlier. His 'system' became increasingly famous and drew him into discussion and development of these ideas, both in public and in private, with a variety of thinkers: Simon Foucher; Henri Basbage de Beauval; Francois Lamy; Isaac Jacquelot; the Englishwoman Damaris Masham; Pierre Desmaizeaux; René Joseph de Tournemine; and most notably the great French philosopher and scholar Pierre Bayle. (shrink)

G. E. Moore observed that to assert, 'I went to the pictures last Tuesday but I don't believe that I did' would be 'absurd'. Over half a century later, such sayings continue to perplex philosophers. In the definitive treatment of the famous paradox, Green and Williams explain its history and relevance and present new essays by leading thinkers in the area.

Newton's Philosophiae Naturalis Principia Mathematica provides a coherent and deductive presentation of his discovery of the universal law of gravitation. It is very much more than a demonstration that 'to us it is enough that gravity really does exist and act according to the laws which we have explained and abundantly serves to account for all the motions of the celestial bodies and the sea'. It is important to us as a model of all mathematical physics.Representing a decade's work from (...) a distinguished physicist, this is the first comprehensive analysis of Newton's Principia without recourse to secondary sources. Professor Chandrasekhar analyses some 150 propositions which form a direct chain leading to Newton's formulation of his universal law of gravitation. In each case, Newton's proofs are arranged in a linear sequence of equations and arguments, avoiding the need to unravel the necessarily convoluted style of Newton's connected prose. In almost every case, a modern version of the proofs is given to bring into sharp focus the beauty, clarity, and breath-taking economy of Newton's methods.Subrahmanyan Chandrasekhar is one of the most reknowned scientists of the twentieth century, whose career spanned over 60 years. Born in India, educated at the University of Cambridge in England, he served as Emeritus Morton D. Hull Distinguished Service Professor of Theoretical Astrophysics at the University of Chicago, where he has was based from 1937 until his death in 1996. His early research into the evolution of stars is now a cornerstone of modern astrophysics, and earned him the Nobel Prize for Physics in 1983. Later work into gravitational interactions between stars, the properties of fluids, magnetic fields, equilibrium ellipsoids, and black holes has earned him awards throughout the world, including the Gold Medal from the Royal Astronomical Society in London, the National Medal of Science in the United States, and the Copley Medal from the Royal Society. His many publications include Radiative transfer, Hydrodynamic and hydromagnetic stability, and The mathematical theory of black holes, each being praised for its breadth and clarity. Newton's Principia for the common reader is the result of Professor Chandrasekhar's profound admiration for a scientist whose work he believed is unsurpassed, and unsurpassable. (shrink)

Drawing on the Agency-Stewardship approach, which suggests that manager profile may range from the agent model to the steward model, this article aims to examine how important CEOs are to corporate social responsibility (CSR). Specifically, this exploratory study proposes the existence of a relationship between manager profile and CSR practices and that this relation is mediated by the perceived role of ethics and social responsibility. After applying a mediated regression analysis using survey information collected from 149 CEOs in Spain, results (...) show that those closer to the steward model are more inclined to attach great importance to ethics and social responsibility, and to implement CSR practices in their companies. Results also provide support for the suggested mediating effect. Thus, this article extends research in understanding top managers as drivers for CSR and suggests new ways to deal with this issue empirically. (shrink)

An able and clear defense of Bradley's principal theses and the underlying conception of metaphysical enterprise. "This is a book about a metaphysician, about metaphysics, and, most importantly, it attempts to develop elements of a metaphysical position long the lines of what is called Absolute Idealism." The Introduction takes up the Verificationists [[sic]] argument and two recent accounts of metaphysics. Part I devotes ten Chapters to the elucidation and defense of Bradley's conception of reality. It culminates in examining three alternative (...) accounts of "Real". Part II considers "the major philosophical theories of the self in order to defend Bradley's Theory of the self within his metaphysical scheme."--A. S. C. (shrink)

The aim of this article is to discuss the role that victim groups and organizations may have in framing and supporting an accountability agenda, as well as their potential for endorsing a distributive justice agenda. The article explores two empirical cases where victims' rights have been introduced and applied by victim organizations to promote accountability—Colombia and Peru. It will be argued that if transitional justice in general and victim reparations in particular are to embark in a quest for distributive justice, (...) it cannot do so without considering victims as political actors, and putting forward demands in terms of victims’ rights. (shrink)

Recent Anglophone scholarship has successfully shown that Nietzsche's thought makes important contributions to a wide range of contemporary philosophical debates. In so doing, however, scholarship has lost sight of another important feature of Nietzsche's project, namely his desire to challenge the very conception of philosophy that has been used to assess his merits as a philosopher. In other words, contemporary scholarship has overlooked Nietzsche's contributions to metaphilosophy, i.e. debates around the nature, methods, and aims of philosophy. This important new collection (...) of essays brings together an international group of distinguished scholars to explore and discuss these contributions and debates. It will appeal to anyone interested in metaphilosophy, Nietzsche studies, German studies, or intellectual history. (shrink)

Peter S. Fosl offers a radical interpretation of Hume as a thoroughgoing sceptic on epistemological, metaphysical and doxastic grounds. He first contextualises Hume's thought in the sceptical tradition and goes on to interpret the conceptual apparatus of his work - including the Treatise, Enquiries, Essays, History, Dialogues and letters.

Prefaces was the last of four books by Søren Kierkegaard to appear within two weeks in June 1844. Three Upbuilding Discourses and Philosophical Fragments were published first, followed by The Concept of Anxiety and its companion--published on the same day--the comically ironic Prefaces. Presented as a set of prefaces without a book to follow, this work is a satire on literary life in nineteenth-century Copenhagen, a lampoon of Danish Hegelianism, and a prefiguring of Kierkegaard's final collision with Danish Christendom. Shortly (...) after publishing Prefaces, Kierkegaard began to prepare Writing Sampler as a sequel. Writing Sampler considers the same themes taken up in Prefaces but in yet a more ironical and satirical vein. Although Writing Sampler remained unpublished during his lifetime, it is presented here as Kierkegaard originally envisioned it, in the company of Prefaces. (shrink)

For over a century, the Danish thinker Søren Kierkegaard has been at the center of a number of important discussions, concerning not only philosophy and theology, but also, more recently, fields such as social thought, psychology, and contemporary aesthetics, especially literary theory. Despite his relatively short life, Kierkegaard was an extraordinarily prolific writer, as attested to by the 26-volume Princeton University Press edition of all of his published writings. But Kierkegaard left behind nearly as much unpublished writing, most of which (...) consists of what are called his "journals and notebooks." Kierkegaard has long been recognized as one of history's great journal keepers, but only rather small portions of his journals and notebooks are what we usually understand by the term “diaries.” By far the greater part of Kierkegaard’s journals and notebooks consists of reflections on a myriad of subjects—philosophical, religious, political, personal. Studying his journals and notebooks takes us into his workshop, where we can see his entire universe of thought. We can witness the genesis of his published works, to be sure—but we can also see whole galaxies of concepts, new insights, and fragments, large and small, of partially completed but unpublished works. Kierkegaard’s Journals and Notebooks enables us to see the thinker in dialogue with his times and with himself. Kierkegaard wrote his journals in a two-column format, one for his initial entries and the second for the extensive marginal comments that he added later. This edition of the journals reproduces this format, includes several photographs of original manuscript pages, and contains extensive scholarly commentary on the various entries and on the history of the manuscripts being reproduced. Volume 9 of this 11-volume series includes five of Kierkegaard’s important “NB” journals, which span from June 1852 to August 1854. This period was marked by Kierkegaard’s increasing preoccupation with what he saw as an unbridgeable gulf in Christianity—between the absolute ideal of the religion of the New Testament and the official, state-sanctioned culture of “Christendom,” which, embodied by the Danish People’s Church, Kierkegaard rejected with increasing vehemence. Crucially, Kierkegaard’s nemesis, Bishop Jakob Peter Mynster, died during this period and, in the months following, Kierkegaard can be seen moving inexorably toward the famous “attack on Christendom” with which he ended his life. (shrink)

The incidental writings of Søren Kierkegaard, published in the twenty-volume Danish edition of the Papirer, provide direct access to the thought of the many-faceted nineteenth-century philosopher who exerted so profound an influence on Protestant theology and modern existentialism. This important material, which Danish scholars regard as the "key to the scriptures" of Kierkegaard’s other work, spans his entire productive life, the last entry of the Papirer being dated only a few days before his death. These writings have been previously inaccessible (...) in English except for a few fragmentary selections; the most significant writings are now being made available in this definitive seven-volume edition under the editorship of two expert scholars and translators. The editors group the selections in Volumes I through IV by theme, with all entries on a given subject under the same heading. Within subject headings, entries are arranged chronologically, making it feasible to trace the evolution of Kierkegaard’s thought on a specific topic. Volumes V and VI are devoted to autobiographical material. Volume VII contains an extensive index with topical crossreferences. (shrink)

In this study of Nietzsche's Thus Spoke Zarathustra, Paul S. Loeb proposes a fresh account of the relation between the book's literary and philosophical aspects and argues that the book's narrative is designed to embody and exhibit the truth of eternal recurrence. Loeb shows how Nietzsche constructed a unified and complete plot in which the protagonist dies, experiences a deathbed revelation of his endlessly repeating life, and then returns to his identical life so as to recollect this revelation and gain (...) a power over time that advances him beyond the human. Through close textual analysis and careful attention to Nietzsche's use of Platonic, biblical, and Wagnerian themes, Loeb explains how this novel design is the key to solving the many riddles of Thus Spoke Zarathustra - including its controversial fourth part, its obscure concept of the Übermensch, and its relation to Nietzsche's Genealogy of Morals. (shrink)

"One basic and underlying assumption of this investigation will be that there is a distinct continuity and development in Berkeley's thought which can be traced through all of his reflective analyses of the problem of perception." The essay argues for Berkeley's theory of perception as a "prototype of the phenomenalists." It argues also for Berkeley's incorporation of elements from the representative theory of perception. Of special interest is the treatment of Berkeley's doctrine of "suggestion" and its connection with the role (...) of imagination in the perception of physical objects. The linguistic aspect of Berkeley's work is minimized. Berkeley's theory of notions receives only a passing reference. The last third of the book is a clear and useful discussion of Berkeley and contemporary phenomenalism. It is suggested, though not shown, that Berkeley has affinity with contemporary phenomenology of perception.--A. S. C. (shrink)

While perhaps best known for his Lives, Plutarch also wrote philosophical dialogues that constitute a major intellectual legacy from the first century A.D. This collection presents two important short works from his writings in moral philosophy. They reveal Plutarch at his best--informative, sympathetic, rich in narrative--and are accompanied by an extensive commentary that situates Plutarch and his views on marriage in their historical context.

R. S. Peters on Education and Ethics reissues seven titles from Peters' life's work. Taking an interdisciplinary approach, the books are concerned with the philosophy of education and ethics. Topics include moral education and learning, authority and responsibility, psychology and ethical development and ideas on motivation amongst others. The books discuss more traditional theories and philosophical thinkers as well as exploring later ideas in a way which makes the subjects they discuss still relevant today.