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Towards a Philosophy of Real Mathematics
In this ambitious study, David Corfield attacks the widely held view that it is the nature of mathematical knowledge which has shaped the way in which mathematics is treated philosophically and claims that contingent factors have brought us to the present thematically limited discipline. Illustrating his discussion with a wealth of examples, he sets out a variety of approaches to new thinking about the philosophy of mathematics, ranging from an exploration of whether computers producing mathematical proofs or conjectures are doing real mathematics, to the use of analogy, the prospects for a Bayesian confirmation theory, the notion of a mathematical research programme and the ways in which new concepts are justified. His inspiring book challenges both philosophers and mathematicians to develop the broadest and richest philosophical resources for work in their disciplines and points clearly to the ways in which this can be done.
Rediscovering Phenomenology
This book proposes a new phenomenological analysis of the questions of perception and cognition which are of paramount importance for a better understanding of those processes which underlies the formation of knowledge and consciousness. It presents many clear arguments showing how a phenomenological perspective helps to deeply interpret most fundamental findings of current research in neurosciences and also in mathematical and physical sciences.
Italian Studies in the Philosophy of Science
The impressive record of Italian philosophical research since the end of Fascism thirty-two years ago is shown in many fields: esthetics, social and" personal ethics, history and sociology of philosophy, and magnificently, perhaps above all, in logic, foundations of mathematics and the philosophY, methodology, and intellectual history ofthe empirical sciences. To our pleasure, Maria Luisa Dalla Chiara of the University of Florence gladly agreed to assemble a 'sampler' of recent Italian logical and analytical work on the philosophical foundations of mathematics and physics, along with a number of historical studies of epistemological and mathematical concepts. The twenty-five essays that form this volume will, we expect, encourage English-reading philosophers and scientists to seek further works by these authors and by their teachers, colleagues, and students; and, we hope, to look for those other Italian currents of thought in the philosophy of science for which points of departure are not wholly analytic, and which also deserve study and recognition in the world wide philosophical community. Of course, Italy has long been related to that world community in scien titlc matters.
Methodological Cognitivism
This book deals with the cognitive foundation of the theory of social action. The social sciences are still guided by models of social action, far from the empirical reality of the psychology of action. While economics seems to have made greater progress in accepting the changes to the theory of action derived from cognitive science (see, for example, the 2002 Nobel prize for economics awarded to Daniel Kahneman), sociology is still being oriented on the dualism of hermeneutics vs. structuralism, which leaves very little room for a cognitive theory of social action. The unique features of the book are its combination of epistemology, philosophy of mind and cognitive science in order to renew and overcome the limits of the current methodologies of social science and in particular methodological individualism. Methodological cognitivism is proposed as an alternative to the holistic character of structuralism, to the intentionalist and rationalist features of methodological individualism, and to the relativistic character of hermeneutics and ethnomethodology.
Epistemology of Decision
This book carries out an epistemological analysis of the decision, including a critical analysis through the continuous reference to an interdisciplinary approach including a synthesis of philosophical approaches, biology and neuroscience. Besides this it represents the analysis of causality here seen not from the formal point of view, but from the "embodied" point of view.
The Question of Methodological Naturalism
The traditions and institutions that we call religions abound with references to the supernatural: ancestral spirits, karma, the afterlife, miracles, revelation, deities, etc. How are students of religion to approach the behaviors, doctrines, and beliefs that refer to such phenomena, which by their very nature are supposed to defy the methods of empirical research and the theories of historical scholarship? That is the question of methodological naturalism. The Question of Methodological Naturalism offers ten thoughtful engagements with that perennial question for the academic study of religion. Contributors include established senior scholars and newer voices propounding a range of perspectives, resulting in both surprising points of convergence and irreconcilable differences in how our shared discipline should be conceptualized and practiced.
Femininity
In this thought-provoking book, the author explores the intricate dynamics of gender identity, challenging conventional ideas about what defines being a man or a woman. The narrative underscores the critical distinction between sex—biological differences—and gender—socially constructed roles. It argues that understanding identity requires recognizing the influence of both biological and cultural factors. The book begins by questioning the validity of traditional gender definitions, proposing that identity is shaped by a complex interplay between nature and culture. It delves into the philosophical aspects of life and death, suggesting that gender identity is not merely a conscious choi...
The New Science of Astrobiology
Astrobiology is a very broad interdisciplinary field covering the origin, evolution, distribution, and destiny of life in the universe, as well as the design and implementation of missions for solar system exploration. A review covering its complete spectrum has been missing at a level accessible even to the non-specialist. The last section of the book consists of a supplement, including a glossary, notes, and tables, which represent highly condensed `windows' into research ranging from basic sciences to earth and life sciences, as well as the humanities. These additions should make The New Science of Astrobiology accessible to a wide readership: scientists, humanists, and the general reader will have an opportunity to participate in one of the most rewarding activities of contemporary culture.
Alan Turing: Life and Legacy of a Great Thinker
Written by a distinguished cast of contributors, Alan Turing: Life and Legacy of a Great Thinker is the definitive collection of essays in commemoration of the 90th birthday of Alan Turing. This fascinating text covers the rich facets of his life, thoughts, and legacy, but also sheds some light on the future of computing science with a chapter contributed by visionary Ray Kurzweil, winner of the 1999 National Medal of Technology. Further, important contributions come from the philosopher Daniel Dennett, the Turing biographer Andrew Hodges, and from the distinguished logician Martin Davis, who provides a first critical essay on an emerging and controversial field termed "hypercomputation".
The Role of Mathematics in Physical Sciences
Even though mathematics and physics have been related for centuries and this relation appears to be unproblematic, there are many questions still open: Is mathematics really necessary for physics, or could physics exist without mathematics? Should we think physically and then add the mathematics apt to formalise our physical intuition, or should we think mathematically and then interpret physically the obtained results? Do we get mathematical objects by abstraction from real objects, or vice versa? Why is mathematics effective into physics? These are all relevant questions, whose answers are necessary to fully understand the status of physics, particularly of contemporary physics. The aim of this book is to offer plausible answers to such questions through both historical analyses of relevant cases, and philosophical analyses of the relations between mathematics and physics.
