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Deduction, Computation, Experiment
This volume is located in a cross-disciplinary ?eld bringing together mat- matics, logic, natural science and philosophy. Re?ection on the e?ectiveness of proof brings out a number of questions that have always been latent in the informal understanding of the subject. What makes a symbolic constr- tion signi?cant? What makes an assumption reasonable? What makes a proof reliable? G ̈ odel, Church and Turing, in di?erent ways, achieve a deep und- standing of the notion of e?ective calculability involved in the nature of proof. Turing’s work in particular provides a “precise and unquestionably adequate” de?nition of the general notion of a formal system in terms of a machine with a ?nite...
The Search for a Theory of Cognition
Preliminary Material -- LIFE, DEATH, AND RESURRECTION OF THE HOMEOSTAT /Stefano Franchi -- THE ONTOLOGY OF THE ENEMY: NORBERT WIENER AND THE CYBERNETIC VISION /Peter Galison -- COMPUTERS AS MODELS OF THE MIND: ON SIMULATIONS, BRAINS, AND THE DESIGN OF COMPUTERS /Peter Asaro -- AT THE PERIPHERY OF THE RISING EMPIRE: THE CASE OF ITALY (1945-1968) /Claudio Pogliano -- PROCESSING CULTURES: “STRUCTURALISM” IN THE HISTORY OF ARTIFICIAL INTELLIGENCE /Patrice Maniglier -- ARTIFICIAL INTELLIGENCE WITH A NATIONAL FACE: AMERICAN AND SOVIET CULTURAL METAPHORS FOR THOUGHT /Slava Gerovitch -- THE CARTESIAN-LEIBNIZIAN TURING TEST /Francesco Bianchini -- TURING COMPUTABILITY AND LEIBNIZ COMPUTABILITY /Maurizio Matteuzzi -- LOGICAL INSTRUMENTS: REGULAR EXPRESSIONS, AI, AND THINKING ABOUT THINKING /Christopher M. Kelty -- GÖDEL, NAGEL, MINDS, AND MACHINES /Solomon Feferman -- ENTANGLING EFFECTIVE PROCEDURES: FROM LOGIC MACHINES TO QUANTUM AUTOMATA /Rossella Lupacchini -- TURING 1948 VS. GÖDEL 1972 /Giorgio Sandri -- WORKS CITED -- INDEX -- ABOUT THE CONTRIBUTORS -- VIBS.
Information And Complexity
The book is a collection of papers of experts in the fields of information and complexity. Information is a basic structure of the world, while complexity is a fundamental property of systems and processes. There are intrinsic relations between information and complexity.The research in information theory, the theory of complexity and their interrelations is very active. The book will expand knowledge on information, complexity and their relations representing the most recent and advanced studies and achievements in this area.The goal of the book is to present the topic from different perspectives — mathematical, informational, philosophical, methodological, etc.
Philosophical Hermeneutics and Islamic Thought
This book investigates the methodological issues raised by the encounter between Islamic thought and contemporary philosophical hermeneutics. It features essays that examine why and how current Muslim thinkers refer to Continental philosophy. The contributors put the universality of the hermeneutic order to the test with three different approaches. The first looks at exegetical aspects. It addresses contemporary thinkers from the Islamicate world who have engaged critically or not with main representatives or key concepts of philosophical hermeneutics. The second presents an interpretative analysis. The essays here present attempts at using philosophical hermeneutics in order to develop new ...
Elements of Mathematics
An exciting look at the world of elementary mathematics Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics—but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwel...
On Art and Science
Einstein once remarked "After a certain high level of technical skill is achieved, science and art tend to coalesce in aesthetics, plasticity, and form. The greatest scientists are always artists as well". In this volume, some of the world’s leading thinkers come together to expound on the interrelations between sciences and arts. While one can segregate art and place it outside the scientific realm, it is, nevertheless, inextricably linked to our essential cognitive/emotional/perceptual modalities and abilities, and therefore lies alongside and in close contact with the method of science and philosophy. What inspiration can scientists draw from art and how can scientific spirit foster our...
Kyoto in Davos. Intercultural Readings of the Cassirer-Heidegger Debate
What does it mean to be human? We invite the reader to discuss this most fundamental issue in philosophy and to do so in an intercultural framework. The question of the human was the starting point for a legendary discussion between two German philosophers who met in Davos in 1929. We return to this historical event and re-imagine the debate between Martin Heidegger and Ernst Cassirer from a global perspective. Generating twenty papers from elaborate discussions, our authors contribute to the thought experiment by inviting the Japanese philosopher Nishida Kitarō from Kyoto and other Japanese thinkers into the debate to overcome the challenge of Eurocentrism inherent to these historic days in Davos.
Unconventional Computation
This book constitutes the refereed proceedings of the 5th International Conference on Unconventional Computation, UC 2006, held in York, UK, in September 2006. The 17 revised full papers presented together with four invited full papers were carefully reviewed and selected for inclusion in the book. All current aspects of unconventional computation are addressed - theory as well as experiments and applications.
The Individual and Utopia
Central to the idea of a perfect society is the idea that communities must be strong and bound together with shared ideologies. However, while this may be true, rarely are the individuals that comprise a community given primacy of place as central to a strong communal theory. This volume moves away from the dominant, current macro-level theorising on the subject of identity and its relationship to and with globalising trends, focusing instead on the individual’s relationship with utopia so as to offer new interpretive approaches for engaging with and examining utopian individuality. Interdisciplinary in scope and bringing together work from around the world, The Individual and Utopia enqui...
