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A True Polymath
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.
A Computable Universe
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?
Computable Foundations for Economics
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...
The Map and the Territory
This volume presents essays by pioneering thinkers including Tyler Burge, Gregory Chaitin, Daniel Dennett, Barry Mazur, Nicholas Humphrey, John Searle and Ian Stewart. Together they illuminate the Map/Territory Distinction that underlies at the foundation of the scientific method, thought and the very reality itself. It is imperative to distinguish Map from the Territory while analyzing any subject but we often mistake map for the territory. Meaning for the Reference. Computational tool for what it computes. Representations are handy and tempting that we often end up committing the category error of over-marrying the representation with what is represented, so much so that the distinction be...
Unravelling Complexity
The revolutions that Gregory Chaitin brought within the fields of science are well known. From his discovery of algorithmic information complexity to his work on Gödel's theorem, he has contributed deeply and expansively to such diverse fields. This book attempts to bring together a collection of articles written by his colleagues, collaborators and friends to celebrate his work in a festschrift. It encompasses various aspects of the scientific work that Chaitin has accomplished over the years. Topics range from philosophy to biology, from foundations of mathematics to physics, from logic to computer science, and all other areas Chaitin has worked on. It also includes sketches of his personality with the help of biographical accounts in some unconventional articles that will provide a rare glimpse into the personal life and nature of Chaitin. Compared to the other books that exist along a similar vein, this book stands out primarily due to its highly interdisciplinary nature and its scope that will attract readers into Chaitin's world
Functional Analysis, Holomorphy and Approximation Theory II
Functional Analysis, Holomorphy and Approximation Theory II
Feeding the City
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 ...
