Perspectives On The History Of Mathematical Logic
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Perspectives On The History Of Mathematical Logic
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Author : Thomas Drucker
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-21
Perspectives On The History Of Mathematical Logic written by Thomas Drucker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-21 with Mathematics categories.
This volume offers insights into the development of mathematical logic over the last century. Arising from a special session of the history of logic at an American Mathematical Society meeting, the chapters explore technical innovations, the philosophical consequences of work during the period, and the historical and social context in which the logicians worked. The discussions herein will appeal to mathematical logicians and historians of mathematics, as well as philosophers and historians of science.
Perspectives On The History Of Mathematical Logic
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Author : Thomas Drucker
language : en
Publisher: Birkhauser
Release Date : 1991-01-01
Perspectives On The History Of Mathematical Logic written by Thomas Drucker and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-01 with Logic, Symbolic and mathematical categories.
Perspectives In Mathematical Logic
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Author :
language : en
Publisher:
Release Date : 1969
Perspectives In Mathematical Logic written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
"The Perspectives in Logic series publishes substantial, high-quality books whose central theme lies in any area or aspect of logic. Books that present new material not now available in book form are particularly welcome. The series ranges from introductory texts suitable for beginning graduate courses to specialized monographs at the frontiers of research. Each book offers an illuminating perspective for its intended audience. The ASL is committed to making books in the Perspectives in Logic series available at a reasonable cost, and intends to keep them available in print or electronic form indefinitely. This series is the successor to the series Perspectives in Mathematical Logic, which was founded in 1969 by the Omega Group, consisting of R. O. Gandy, H. Hermes, A. Levy, G. H. Müller, G. E. Sacks and D. S. Scott. This group was initially sponsored by a grant from the Stiftung Volkswagenwerk and the series appeared under the auspices of the Heidelberger Akademie der Wissenschaften. From 1986 to 2001, Perspectives in Mathematical Logic was published by Springer-Verlag under editorial direction of the Association for Symbolic Logic. In 2001 the ASL assumed full responsibility for the series and broadened its scope to include all of logic. It is now published jointly with Cambridge University Press as Perspectives in Logic." -- Project Euclid.
Logic And Automata
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Author : Jörg Flum
language : en
Publisher: Amsterdam University Press
Release Date : 2008
Logic And Automata written by Jörg Flum and has been published by Amsterdam University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Mathematical logic and automata theory are two scientific disciplines with a fundamentally close relationship. The authors of Logic and Automata take the occasion of the sixtieth birthday of Wolfgang Thomas to present a tour d’horizon of automata theory and logic. The twenty papers in this volume cover many different facets of logic and automata theory, emphasizing the connections to other disciplines such as games, algorithms, and semigroup theory, as well as discussing current challenges in the field.
Leibniz And The Structure Of Sciences
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Author : Vincenzo De Risi
language : en
Publisher: Springer Nature
Release Date : 2020-01-01
Leibniz And The Structure Of Sciences written by Vincenzo De Risi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-01 with Science categories.
The book offers a collection of essays on various aspects of Leibniz’s scientific thought, written by historians of science and world-leading experts on Leibniz. The essays deal with a vast array of topics on the exact sciences: Leibniz’s logic, mereology, the notion of infinity and cardinality, the foundations of geometry, the theory of curves and differential geometry, and finally dynamics and general epistemology. Several chapters attempt a reading of Leibniz’s scientific works through modern mathematical tools, and compare Leibniz’s results in these fields with 19th- and 20th-Century conceptions of them. All of them have special care in framing Leibniz’s work in historical context, and sometimes offer wider historical perspectives that go much beyond Leibniz’s researches. A special emphasis is given to effective mathematical practice rather than purely epistemological thought. The book is addressed to all scholars of the exact sciences who have an interest in historical research and Leibniz in particular, and may be useful to historians of mathematics, physics, and epistemology, mathematicians with historical interests, and philosophers of science at large.
New Perspectives On Mathematical Practices
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Author : Bart Van Kerkhove
language : en
Publisher: World Scientific
Release Date : 2009
New Perspectives On Mathematical Practices written by Bart Van Kerkhove and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
This volume focuses on the importance of historical enquiry for the appreciation of philosophical problems concerning mathematics. It contains a well-balanced mixture of contributions by internationally established experts, such as Jeremy Gray and Jens Hoyrup; upcoming scholars, such as Erich Reck and Dirk Schlimm; and young, promising researchers at the beginning of their careers. The book is situated within a relatively new and broadly naturalistic tradition in the philosophy of mathematics. In this alternative philosophical current, which has been dramatically growing in importance in the last few decades, unlike in the traditional schools, proper attention is paid to scientific practices as informing for philosophical accounts.
The History Of Continua
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Author : Stewart Shapiro
language : en
Publisher: Oxford University Press, USA
Release Date : 2021
The History Of Continua written by Stewart Shapiro and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Mathematics categories.
Mathematical and philosophical thought about continuity has changed considerably over the ages, from Aristotle's insistence that a continuum is a unified whole, to the dominant account today, that a continuum is composed of infinitely many points. This book explores the key ideas and debates concerning continuity over more than 2500 years.
Explanation And Proof In Mathematics
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Author : Gila Hanna
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-04
Explanation And Proof In Mathematics written by Gila Hanna and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-04 with Education categories.
In the four decades since Imre Lakatos declared mathematics a "quasi-empirical science," increasing attention has been paid to the process of proof and argumentation in the field -- a development paralleled by the rise of computer technology and the mounting interest in the logical underpinnings of mathematics. Explanantion and Proof in Mathematics assembles perspectives from mathematics education and from the philosophy and history of mathematics to strengthen mutual awareness and share recent findings and advances in their interrelated fields. With examples ranging from the geometrists of the 17th century and ancient Chinese algorithms to cognitive psychology and current educational practice, contributors explore the role of refutation in generating proofs, the varied links between experiment and deduction, the use of diagrammatic thinking in addition to pure logic, and the uses of proof in mathematics education (including a critique of "authoritative" versus "authoritarian" teaching styles). A sampling of the coverage: The conjoint origins of proof and theoretical physics in ancient Greece. Proof as bearers of mathematical knowledge. Bridging knowing and proving in mathematical reasoning. The role of mathematics in long-term cognitive development of reasoning. Proof as experiment in the work of Wittgenstein. Relationships between mathematical proof, problem-solving, and explanation. Explanation and Proof in Mathematics is certain to attract a wide range of readers, including mathematicians, mathematics education professionals, researchers, students, and philosophers and historians of mathematics.
Fuzzy Logic And Mathematics
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Author : Belohlavek
language : en
Publisher:
Release Date : 2015
Fuzzy Logic And Mathematics written by Belohlavek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
Logical Skills
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Author : Julie Brumberg-Chaumont
language : en
Publisher: Springer Nature
Release Date : 2021-03-30
Logical Skills written by Julie Brumberg-Chaumont and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-30 with Philosophy categories.
This contributed volume explores the ways logical skills have been perceived over the course of history. The authors approach the topic from the lenses of philosophy, anthropology, sociology, and history to examine two opposing perceptions of logic: the first as an innate human ability and the second as a skill that can be learned and mastered. Chapters focus on the social and political dynamics of the use of logic throughout history, utilizing case studies and critical analyses. Specific topics covered include: the rise of logical skills problems concerning medieval notions of idiocy and rationality decolonizing natural logic natural logic and the course of time Logical Skills: Social-Historical Perspectives will appeal to undergraduate and graduate students, as well as researchers in the fields of history, sociology, philosophy, and logic. Psychology and colonial studies scholars will also find this volume to be of particular interest.