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This book contains papers honouring Professor Francisco Doria. It spun out of a meeting in Rio de Janeiro, Brazil, in 2018, gathering researchers who have worked directly with Doria or his ideas to celebrate his 70th birthday. Doria's work is genuinely multidisciplinary, ranging from physics to economy, passing through philosophy, computer science, and mathematics foundations. This broad interdisciplinary impact is reflected in this book's range of topics. The quality of Doria's work and influence is also reflected in this volume, as it contains numerous influential thinkers and scholars, such as Newton da Costa (a long-term collaborator of Doria), Gregory Chaitin, Itala D'Ottaviano, Marcelo Gleiser, Bruno Scarpellini, and many more. It is notable to mention that, in addition to mathematics and physics, his areas of formal training, Doria has extensive interests in a variety of topics. Those who were able to have a quick conversation with him know of his vast knowledge of philosophy (both continental and analytical), art, literature, history, archeology, linguistics, and genealogy. Indeed, he has also published in some of those areas. He is truly a polymath.
This volume discusses the foundations of computation in relation to nature. It focuses on two main questions: What is computation? and How does nature compute?
Functional Analysis, Holomorphy and Approximation Theory II
This volume, The Brazilian Studies in the Philosophy and History of Science, is the first attempt to present to a general audience, works from Brazil on this subject. The included papers are original, covering a remarkable number of relevant topics of philosophy of science, logic and on the history of science. The Brazilian community has increased in the last years in quantity and in quality of the works, most of them being published in respectable international journals on the subject. The chapters of this volume are forwarded by a general introduction, which aims to sketch not only the contents of the chapters, but it is conceived as a historical and conceptual guide to the development of the field in Brazil. The introduction intends to be useful to the reader, and not only to the specialist, helping them to evaluate the increase in production of this country within the international context.
Computable Foundations for Economics is a unified collection of essays, some of which are published here for the first time and all of which have been updated for this book, on an approach to economic theory from the point of view of algorithmic mathematics. By algorithmic mathematics the author means computability theory and constructive mathematics. This is in contrast to orthodox mathematical economics and game theory, which are formalised with the mathematics of real analysis, underpinned by what is called the ZFC formalism, i.e., set theory with the axiom of choice. This reliance on ordinary real analysis and the ZFC system makes economic theory in its current mathematical mode complete...
On the eastern coast of Brazil, facing westward across a wide magnificent bay, lies Salvador, a major city in the Americas at the end of the eighteenth century. Those who distributed and sold food, from the poorest street vendors to the most prosperous traders—black and white, male and female, slave and free, Brazilian, Portuguese, and African—were connected in tangled ways to each other and to practically everyone else in the city, and are the subjects of this book. Food traders formed the city's most dynamic social component during the late eighteenth and early nineteenth centuries, constantly negotiating their social place. The boatmen who brought food to the city from across the bay ...
This book contains contributions from several international authors to topics of current interest, such as AI, intelligent systems, and logic applications in different branches of knowledge. Foundational aspects of the various techniques are also covered, notably non-classical formalisms. The tome is intended for researchers, undergraduate and graduate students, and lay readers. The book is dedicated to researcher Seiki Akama on his sixtieth birthday. Akama is one of the critical scientists who dedicated himself to understanding the use of alternative logic in the various issues of AI, ranging from its foundations to concrete applications and philosophical reflections.