Logic S Lost Genius
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Logic S Lost Genius
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Author : Eckart Menzler-Trott
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-05-05
Logic S Lost Genius written by Eckart Menzler-Trott and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-05 with categories.
Gerhard Gentzen (1909–1945) is the founder of modern structural proof theory. His lasting methods, rules, and structures resulted not only in the technical mathematical discipline called “proof theory” but also in verification programs that are essential in computer science. The appearance, clarity, and elegance of Gentzen's work on natural deduction, the sequent calculus, and ordinal proof theory continue to be impressive even today. The present book gives the first comprehensive, detailed, accurate scientific biography expounding the life and work of Gerhard Gentzen, one of our greatest logicians, until his arrest and death in Prague in 1945. Particular emphasis in the book is put on the conditions of scientific research, in this case mathematical logic, in National Socialist Germany, the ideological fight for “German logic”, and their mutual protagonists. Numerous hitherto unpublished sources, family documents, archival material, interviews, and letters, as well as Gentzen's lectures for the mathematical public, make this book an indispensable source of information on this important mathematician, his work, and his time. The volume is completed by two deep substantial essays by Jan von Plato and Craig Smoryński on Gentzen's proof theory; its relation to the ideas of Hilbert, Brouwer, Weyl, and Gödel; and its development up to the present day. Smoryński explains the Hilbert program in more than the usual slogan form and shows why consistency is important. Von Plato shows in detail the benefits of Gentzen's program. This important book is a self-contained starting point for any work on Gentzen and his logic. The book is accessible to a wide audience with different backgrounds and is suitable for general readers, researchers, students, and teachers.
Elements Of Logical Reasoning
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Author : Jan von Plato
language : en
Publisher: Cambridge University Press
Release Date : 2013
Elements Of Logical Reasoning written by Jan von Plato and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Computers categories.
This book provides an accessible and at the same time scientifically rigorous introduction to the principles of logical reasoning.
Hiroakira Ono On Substructural Logics
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Author : Nikolaos Galatos
language : en
Publisher: Springer Nature
Release Date : 2021-12-13
Hiroakira Ono On Substructural Logics written by Nikolaos Galatos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-13 with Philosophy categories.
This volume is dedicated to Hiroakira Ono life’s work on substructural logics. Chapters, written by well-established academics, cover topics related to universal algebra, algebraic logic and the Full Lambek calculus; the book includes a short biography about Hiroakira Ono. The book starts with detailed surveys on universal algebra, abstract algebraic logic, topological dualities, and connections to computer science. It further contains specialised contributions on connections to formal languages (recognizability in residuated lattices and connections to the finite embedding property), covering systems for modal substructural logics, results on the existence and disjunction properties and finally a study of conservativity of expansions. This book will be primarily of interest to researchers working in algebraic and non-classical logic.
Gentzen S Centenary
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Author : Reinhard Kahle
language : en
Publisher: Springer
Release Date : 2015-11-02
Gentzen S Centenary written by Reinhard Kahle and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-02 with Mathematics categories.
Gerhard Gentzen has been described as logic’s lost genius, whom Gödel called a better logician than himself. This work comprises articles by leading proof theorists, attesting to Gentzen’s enduring legacy to mathematical logic and beyond. The contributions range from philosophical reflections and re-evaluations of Gentzen’s original consistency proofs to the most recent developments in proof theory. Gentzen founded modern proof theory. His sequent calculus and natural deduction system beautifully explain the deep symmetries of logic. They underlie modern developments in computer science such as automated theorem proving and type theory.
Journey Through Genius
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Author : William Dunham
language : en
Publisher: John Wiley & Sons
Release Date : 1990-03-30
Journey Through Genius written by William Dunham and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-03-30 with Biography & Autobiography categories.
Mathematics is a science of rare mystery, created by great mathematicians who can at times seem like master magicians. This book opens up the world of mathematics to a wide and diverse audience of history, science, math, and general interest readers.
The Adventure Of Reason
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Author : Paolo Mancosu
language : en
Publisher: OUP Oxford
Release Date : 2014-01-09
The Adventure Of Reason written by Paolo Mancosu and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-09 with Philosophy categories.
Paolo Mancosu presents a series of innovative studies in the history and the philosophy of logic and mathematics in the first half of the twentieth century. The Adventure of Reason is divided into five main sections: history of logic (from Russell to Tarski); foundational issues (Hilbert's program, constructivity, Wittgenstein, Gödel); mathematics and phenomenology (Weyl, Becker, Mahnke); nominalism (Quine, Tarski); semantics (Tarski, Carnap, Neurath). Mancosu exploits extensive untapped archival sources to make available a wealth of new material that deepens in significant ways our understanding of these fascinating areas of modern intellectual history. At the same time, the book is a contribution to recent philosophical debates, in particular on the prospects for a successful nominalist reconstruction of mathematics, the nature of finitist intuition, the viability of alternative definitions of logical consequence, and the extent to which phenomenology can hope to account for the exact sciences.
W S Jevons
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Author : Sandra Peart
language : en
Publisher: Taylor & Francis
Release Date : 2003
W S Jevons written by Sandra Peart and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Biography & Autobiography categories.
How The World Computes
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Author : Barry S. Cooper
language : en
Publisher: Springer
Release Date : 2012-05-28
How The World Computes written by Barry S. Cooper and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-28 with Computers categories.
This book constitutes the refereed proceedings of the Turing Centenary Conference and the 8th Conference on Computability in Europe, CiE 2012, held in Cambridge, UK, in June 2012. The 53 revised papers presented together with 6 invited lectures were carefully reviewed and selected with an acceptance rate of under 29,8%. The CiE 2012 Turing Centenary Conference will be remembered as a historic event in the continuing development of the powerful explanatory role of computability across a wide spectrum of research areas. The papers presented at CiE 2012 represent the best of current research in the area, and forms a fitting tribute to the short but brilliant trajectory of Alan Mathison Turing. Both the conference series and the association promote the development of computability-related science, ranging over mathematics, computer science and applications in various natural and engineering sciences such as physics and biology, and also including the promotion of related non-scientific fields such as philosophy and history of computing.
Gentzen S Centenary
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Author : Reinhard Kahle
language : en
Publisher: Springer
Release Date : 2015-09-15
Gentzen S Centenary written by Reinhard Kahle and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-15 with Mathematics categories.
Gerhard Gentzen has been described as logic’s lost genius, whom Gödel called a better logician than himself. This work comprises articles by leading proof theorists, attesting to Gentzen’s enduring legacy to mathematical logic and beyond. The contributions range from philosophical reflections and re-evaluations of Gentzen’s original consistency proofs to the most recent developments in proof theory. Gentzen founded modern proof theory. His sequent calculus and natural deduction system beautifully explain the deep symmetries of logic. They underlie modern developments in computer science such as automated theorem proving and type theory.
The Victorian Cult Of Shakespeare
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Author : Charles LaPorte
language : en
Publisher: Cambridge University Press
Release Date : 2020-11-05
The Victorian Cult Of Shakespeare written by Charles LaPorte and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-05 with Drama categories.
How and why did Victorian culture make Shakespeare into a literary deity and his work into a secular Bible?