Martin Davis On Computability Computational Logic And Mathematical Foundations

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Martin Davis on Computability, Computational Logic, and Mathematical Foundations

This book presents a set of historical recollections on the work of Martin Davis and his role in advancing our understanding of the connections between logic, computing, and unsolvability. The individual contributions touch on most of the core aspects of Davis’ work and set it in a contemporary context. They analyse, discuss and develop many of the ideas and concepts that Davis put forward, including such issues as contemporary satisfiability solvers, essential unification, quantum computing and generalisations of Hilbert’s tenth problem. The book starts out with a scientific autobiography by Davis, and ends with his responses to comments included in the contributions. In addition, it includes two previously unpublished original historical papers in which Davis and Putnam investigate the decidable and the undecidable side of Logic, as well as a full bibliography of Davis’ work. As a whole, this book shows how Davis’ scientific work lies at the intersection of computability, theoretical computer science, foundations of mathematics, and philosophy, and draws its unifying vision from his deep involvement in Logic.
Engaging Putnam

Author: James Conant
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2022-07-18
Hilary Whitehall Putnam was one of the leading philosophers of the second half of the 20th century. As student of Rudolph Carnap's and Hans Reichenbach's, he went on to become not only a major figure in North American analytic philosophy, who made significant contributions to the philosophy of mind, language, mathematics, and physics but also to the disciplines of logic, number theory, and computer science. He passed away on March 13, 2016. The present volume is a memorial to his extraordinary intellectual contributions, honoring his contributions as a philosopher, a thinker, and a public intellectual. It features essays by an international team of leading philosophers, covering all aspects of Hilary Putnam's philosophy from his work in ethics and the history of philosophy to his contributions to the philosophy of science, logic, and mathematics. Each essay is an original contribution. “Hilary Putnam is one of the most distinguished philosophers of the modern era, and just speaking personally, one of the smartest and most impressive thinkers I have ever been privileged to know—as a good friend for 70 years. The fine essays collected here are a fitting tribute to a most remarkable figure.” Noam Chomsky, Institute Professor Emeritus, Massachusetts Institute of Technology “In Engaging Putnam excellent philosophers engage the writings and ideas of Hilary Putnam, one of the most productive and influential philosophers of the last century. Putnam stands out because of the combination of brilliance and a firm grasp of reality he brought to a very broad range of issues: the logic and the philosophy of mathematics, free-will, skepticism, realism, internalism and externalism and a lot more. Along with this he offered penetrating insights about other great philosophers, from Aristotle to Wittgenstein. All great philosophers make us think. With many, we try to figure out the strange things they say. With Putnam, we are made to think about clearly explained examples and arguments that get to the heart of the issues he confronts. This book is a wonderful contribution to the continuation of Putnam-inspired thinking.” John Perry, Emeritus Professor of Philosophy, Stanford University
The Software Arts

An alternative history of software that places the liberal arts at the very center of software's evolution. In The Software Arts, Warren Sack offers an alternative history of computing that places the arts at the very center of software's evolution. Tracing the origins of software to eighteenth-century French encyclopedists' step-by-step descriptions of how things were made in the workshops of artists and artisans, Sack shows that programming languages are the offspring of an effort to describe the mechanical arts in the language of the liberal arts. Sack offers a reading of the texts of computing—code, algorithms, and technical papers—that emphasizes continuity between prose and programs. He translates concepts and categories from the liberal and mechanical arts—including logic, rhetoric, grammar, learning, algorithm, language, and simulation—into terms of computer science and then considers their further translation into popular culture, where they circulate as forms of digital life. He considers, among other topics, the “arithmetization” of knowledge that presaged digitization; today's multitude of logics; the history of demonstration, from deduction to newer forms of persuasion; and the post-Chomsky absence of meaning in grammar. With The Software Arts, Sack invites artists and humanists to see how their ideas are at the root of software and invites computer scientists to envision themselves as artists and humanists.