(or not oveA-complete.) . Let * be a unary operator defined on the set F of formulas of the language £ (ie, if A is a formula of £, then *A is also a ...

Provability, Computability and Reflection.

Provability, Computability and Reflection.

This book addresses the logical aspects of the foundations of scientific theories. Even though the relevance of formal methods in the study of scientific theories is now widely recognized and regaining prominence, the issues covered here are still not generally discussed in philosophy of science. The authors focus mainly on the role played by the underlying formal apparatuses employed in the construction of the models of scientific theories, relating the discussion with the so-called semantic approach to scientific theories. The book (...) describes the role played by this metamathematical framework in three main aspects: considerations of formal languages employed to axiomatize scientific theories, the role of the axiomatic method itself, and the way set-theoretical structures, which play the role of the models of theories, are developed. The authors also discuss the differences and philosophical relevance of the two basic ways of aximoatizing a scientific theory, namely Patrick Suppes’ set theoretical predicates and the "da Costa and Chuaqui" approach. This book engages with important discussions of the nature of scientific theories and will be a useful resource for researchers and upper-level students working in philosophy of science. (shrink)

In this paper we discuss two approaches to the axiomatization of scientific theories in the context of the so called semantic approach, according to which (roughly) a theory can be seen as a class of models. The two approaches are associated respectively to Suppes’ and to da Costa and Chuaqui’s works. We argue that theories can be developed both in a way more akin to the usual mathematical practice (Suppes), in an informal set theoretical environment, writing the set theoretical (...) predicate in the language of set theory itself or, more rigorously (da Costa and Chuaqui), by employing formal languages that help us in writing the postulates to define a class of structures. Both approaches are called internal , for we work within a mathematical framework, here taken to be first-order ZFC. We contrast these approaches with an external one, here discussed briefly. We argue that each one has its strong and weak points, whose discussion is relevant for the philosophical foundations of science. (shrink)

Neste artigo, a partir de tópicos presentes na obra de Newton C. A. da Costa, propomos uma fundamentação rigorosa para de uma possível formulação de teorias científicas através da abordagem semântica. Seguindo da Costa, primeiramente desenvolveremos uma teoria geral das estruturas; no contexto desta teoria de estruturas mostraremos como caracterizar linguagens formais como um tipo particular de estrutura, mais especificamente, como uma álgebra livre. Em seguida, discutiremos como associar uma linguagem a uma estrutura, com a qual poderemos formular axiomas que (...) buscam captar a teoria da estrutura. Por fim, mostraremos como podemos, utilizando este aparato conceitual, fundamentar a formalização de da Costa e Chuaqui do chamado predicado de Suppes, utilizado para caracterizar teorias científicas de modo rigoroso. DOI:10.5007/1808-1711.2010v14n1p15. (shrink)

Reason and Value collects 15 new papers by leading contemporary philosophers on themes from the work of Joseph Raz. Raz has made major contributions in a wide range of areas, including jurisprudence, political philosophy, and the theory of practical reason; but all of his work displays a deep engagement with central themes in moral philosophy. The subtlety and power of Raz's reflections on ethical topics make his writings a fertile source for anyone working in this area. Especially significant are his (...) explorations of the connections between practical reason and the theory of value, which constitute a sustained and penetrating treatment of a set of issues at the very center of moral philosophy as it is practiced today. The contributors to the volume acknowledge the importance of Raz's contributions by engaging critically with his positions and offering independent perspectives on the topics that he has addressed. The volume aims both to honour Raz's accomplishments in the area of ethical theorizing, and to contribute to an enhanced appreciation of the significance of his work for the subject. (shrink)

The Nature of God explores a perennial problem in the philosophy of religion.

In treatises or advanced textbooks on theoretical physics, it is apparent that the way mathematics is used is very different from what is to be found in books of mathematics. There is, for example, no close connection between books on analysis, on the one hand, and any classical textbook in quantum mechanics, for example, Schiff, [11], or quite recent books, for example Ryder, [10], on quantum field theory. The differences run a good deal deeper than the fact that the books (...) on theoretical physics are not written in the definition-theorem-proof style characteristic of pure mathematics. Although a good many propositions are proved in the books on physics, there are almost with exception no existential proofs, and consequently there is no really serious systematic use of quantifiers. Another important characteristic is the free use of infinitesimals. In fact, most results would not lose anything, from a physicist's point of view, by leaving them in approximate form, i.e., instead of strict equalities or inequalities, using equalities or inequalities only up to an infinitesimal.The discrepancy between the way mathematics is ordinarily done in theoretical physics and the way it is built up from a foundational standpoint in any of the standard modern views raises the question of whether it might be possible to construct quite directly a rigorous foundation that reflects a significant part of this standard practice in theoretical physics. Other parts of standard practice in physics, for example, the use of physically intuitive but nonrigorous arguments, are not present in our system. (shrink)

Despite All Critique (2014) -- World Politics and Western Reason (1980) -- The Doubled Outsides of the Modern International (2005) -- The Subject of Security (1995) -- The Protection of Nature and the Nature of Protection (2005) -- Social Movements/World Politics (1994) -- Europe is Not Where It is Supposed to Be (2000) -- They Seek it Here, They Seek it There : Looking for Politics in Clayoquot Sound (2003) -- Violence, Modernity, Silence : From Weber to International Relations (1993) (...) -- Hobbes, Origins, Limits (2011) -- War, Terror, Judgement (2002) -- International, Imperial, Exceptional (2005) -- Which Democracy for Which Demos? (2013) -- The Political Theory of Boundaries and the Boundaries of Political Theory : Interview With Raia Prokhovnik (2012). (shrink)

How do we access the authentic self in order to live fulfilling, meaningful lives? In straightforward terms, The Heart of the Matter: Gifts in Strange Wrapping Paper explains a simple but extraordinarily powerful technique called the See, Feel, Hear Challenge that enables people to easily gain entry into the storehouse of their subconscious core beliefs. In the process, it cracks the coded messages that those beliefs release in the form of disease, suffering, addictions, unhappy relationships, and victimized circumstances. Based in (...) the latest findings in neuroscience and neurocardiology, this book guides readers to an uncomplicated understanding of the astounding power of our emotions and how life automatically delivers experiences that trigger negative reactions that subconsciously impact us. These emotions form the foundation of core beliefs that create unhealthy attitudes and dis-ease patterns that keep us from experiencing the authentic, satisfying lives we desire. Using clear examples and true stories from clients, Dr. Weissman’s latest work demonstrates how we can release these stored emotions and their wisdom via the See, Feel, Hear Challenge. It then explains how to use this simple method to evoke feelings that positively impact the quantum field, remolding our bodies, minds, and everyday lives into purposeful expressions of inner joy and radiant well-being. Whether you’re dealing with addictions, dysfunctional relationships, or illness, or are focused on becoming an Olympic champion, The Heart of the Matter gives you a potent tool for positive change and transformation that you can use for the rest of your life. (shrink)

Elliot R. Wolfson intervenes in the debate over Martin Heidegger and Nazism from a unique perspective, as a scholar of Jewish mysticism and philosophy who has been profoundly influenced by Heidegger's work. He reveals crucial aspects of Heidegger's thinking that betray an affinity with dimensions of Jewish thought.

This unique book presents a new interpretation of probability, rooted in the traditional interpretation that was current in the 17th and 18th centuries.

This book focuses upon the perennial question of the existence and nature of an obligation to obey the law. Leading writers have, at one time or another, emphasized considerations such as gratitude, 'divine ordering, ' prudence, contract, autonomy, and utility in seeking to justify, or to deny any justification for, some sort of obligation to obey the positive law. The book provides relevant selections from a sampling of the historical approaches to legal obligation taken by writers such as Plato, Augustine, (...) Aquinas, Hobbes, Locke, Hume, Rousseau, Thoreau, Bentham, Marx and Engels, and Martin Luther King, Jr. These classical discussions are augmented by critical questions and commentary, by independent discussions of the question of legal obligation by a wide range of contemporary writers, and by relevant judicial cases discussing matters such as conscientious objection and civil disobedience. (shrink)

The concept of yinyang lies at the heart of Chinese thought and culture. The relationship between these two opposing, yet mutually dependent, forces is symbolized in the familiar black and white symbol that has become an icon in popular culture across the world. The real significance of yinyang is, however, more complex and subtle. This brilliant and comprehensive analysis by one of the leading authorities in the field captures the richness and multiplicity of the meanings and applications of yinyang, including (...) its visual presentations. Through a vast range of historical and textual sources, the book examines the scope and role of yinyang, the philosophical significance of its various layers of meanings and its relation to numerous schools and traditions within Chinese philosophy. By putting yinyang on a secure and clear philosophical footing, the book roots the concept in the original Chinese idiom, distancing it from Western assumptions, frameworks and terms, yet also seeking to connect its analysis to shared cross-cultural philosophical concerns. (shrink)

Information can be public among a group. Whether or not information is public matters, for example, for accounts of interdependent rational choice, of communication, and of joint intention. A standard analysis of public information identifies it with (some variant of) common belief. The latter notion is stipulatively defined as an infinite conjunction: for p to be commonly believed is for it to believed by all members of a group, for all members to believe that all members believe it, and so (...) forth. This analysis is often presupposed without much argument in philosophy. Theoretical entrenchment or intuitions about cases might give some traction on the question, but give little insight about why the identification holds, if it does. The strategy of this paper is to characterize a practical-normative role for information being public, and show that the only things that play that role are (variants of) common belief as stipulatively characterized. In more detail: a functional role for “taking a proposition for granted” in non-isolated decision making is characterized. I then present some minimal conditions under which such an attitude is correctly held. The key assumption links this attitude to beliefs about what is public. From minimal a priori principles, we can argue that a proposition being public among a group entails common commitment to believe among that group. Later sections explore partial converses to this result, the factivity of publicity and publicity from the perspective of outsiders to the group, and objections to the aprioricity of the result deriving from a posteriori existential presuppositions. (shrink)

This volume gathers together for the first time are all the key texts in a crucial debate in modern philosophy, centered on Leibniz's famous 1695 essay, the "New System of the Nature of Substances and their Communication," in which he introduced his strikingly original theory of metaphysics. 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, most notably the great French philosopher Pierre Bayle. (...) Woolhouse's and Francks's new English edition gives the only full representation of this debate, and will therefore be essential reading for anyone who wishes to gain a proper understanding of Leibniz's philosophy and its intelletual context. All the texts are newly translated and extensively annotated; many appear in English for the first time. (shrink)

The reference of the postmodern task of thinking is Auschwitz, the abyss and discontinuity separating us from the world of our ancestors. As inhabitants of Planet Auschwitz our point of reference lacks all transcendental warrants; it is not a non-referable reference which constitutes the abyss we must enter, endure, and in which our intellectual and cultural tradition must be transformed. The private/public transformations which constitute the texts of this book attempt to depart from the dystopic individuality and public life resulting (...) from business-as-usual after Auschwitz. The three parts of the book are progressive reworkings of traditional metaphysics as adapted and modified by a modernism that refuses to grapple with its complicity. It is precisely that complicity which postmodern thinking takes up in its attempt to signify otherwise than the easy modernist translations and images of tradition. Thus it is a series of uneasy images imaging otherwise but never apart from modernity that take us away from complicity toward a transformed tradition. The uneasy images of this book are photogrammic combinations of photographs and texts, mutual supplements, pulling tradition through the Event against the persistent and murderous forces of contemporary idolatry and repression. (shrink)

Artificial intelligence, the "science and engineering of intelligent machines", still has yet to create even a simple "Advice Taker" [McCarthy, 1959]. We have previously argued [Waser, 2011] that this is because researchers are focused on problem-solving or the rigorous analysis of intelligence (or arguments about consciousness) rather than the creation of a "self" that can "learn" to be intelligent. Therefore, following expert advice on the nature of self [Llinas, 2001; Hofstadter, 2007; Damasio, 2010], we embarked upon an effort to design (...) and implement a self-understanding, self-improving loop as the totality of a (seed) AI. As part of that, we decided to follow up on Richard Dawkins' [1976] speculation that "perhaps consciousness arises when the brain's simulation of the world becomes so complete that it must include a model of itself" by defining a number of axioms and following them through to their logical conclusions. The results combined with an enactive approach yielded many surprising and useful implications for further understanding consciousness, self, and "free-will" that continue to pave the way towards the creation of safe/moral autopoiesis. (shrink)